{"as_of":"2026-08-14T09:39:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:27f0691839951f2f6acd12337304aeb77ba82d6dd4f3320bae1deb3cb137f250","coverage":[{"denominator":77,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":77,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-04T16:32:36.502286Z","state":"measured"},{"denominator":86,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":86,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-14T06:32:32.682623+00:00","state":"measured"},{"denominator":9,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":9,"source":"paper_references, paper_reference_links","source_observed_at":"2026-07-31T22:38:16.752489Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":1,"source":"arxiv_reference","source_observed_at":"2026-08-05T02:28:24.338817Z","state":"measured"}],"external_citation_measurements":[{"count":0,"observed_at":"2026-08-05T02:28:24.338817Z","source":"arxiv_reference"}],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2509.14026","last_updated":"2026-07-06T11:24:08Z","snapshot_observed_at":"2026-08-14T03:39:08.506695Z","submitted_at":"2025-09-17T14:28:42Z","title":"Quantum Variational Activation Functions Empower Kolmogorov-Arnold Networks","version":2},"cited_work":{"arxiv_id":"2509.14026","doi":"10.48550/arxiv.2509.14026","metadata_source":"arxiv_reference","pith_arxiv_id":"2509.14026","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Quantum va riational activation functions empower Kolmogorov–Arnold networks","venue":"ArXiv.org","work_id":"b381d314-0335-4685-a283-129759f2373c","year":2025},"citing_paper":{"arxiv_id":"2510.25781","last_updated":"2026-05-07T06:10:04Z","snapshot_observed_at":"2026-07-06T22:34:23.736456Z","submitted_at":"2025-10-28T03:03:44Z","title":"A Practitioner's Guide to Kolmogorov-Arnold Networks","version":5},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-05-18T03:29:15.570760Z"},"links":{"cited_paper":"/paper/2509.14026","citing_paper":"/paper/2510.25781"},"observation_digest":"sha256:0d230ff020642d09671e79c663da6d6b5427c6be1be13db470bb819f79475c16","observation_id":"67738106-f003-4715-889c-45ecc3a26e45","resolution":{"observed_at":"2026-07-07T03:18:49.186634Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2509.14026","last_updated":"2026-07-06T11:24:08Z","snapshot_observed_at":"2026-08-14T03:39:08.506695Z","submitted_at":"2025-09-17T14:28:42Z","title":"Quantum Variational Activation Functions Empower Kolmogorov-Arnold Networks","version":2},"cited_work":{"arxiv_id":"2509.14026","doi":"10.48550/arxiv.2509.14026","metadata_source":"arxiv_reference","pith_arxiv_id":"2509.14026","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Quantum va riational activation functions empower Kolmogorov–Arnold networks","venue":"ArXiv.org","work_id":"b381d314-0335-4685-a283-129759f2373c","year":2025},"citing_paper":{"arxiv_id":"2605.04604","last_updated":"2026-05-06T07:53:55Z","snapshot_observed_at":"2026-08-11T07:40:19.862754Z","submitted_at":"2026-05-06T07:53:55Z","title":"Generative Quantum-inspired Kolmogorov-Arnold Eigensolver","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-05-08T18:11:29.380162Z"},"links":{"cited_paper":"/paper/2509.14026","citing_paper":"/paper/2605.04604"},"observation_digest":"sha256:6b2ef905bb33b5ea729fe0d05ed5ab2980cee8787c57c73e1ed40650d8e6674c","observation_id":"da24eab2-2417-4fe5-9fcc-af98a81dec2e","resolution":{"observed_at":"2026-07-07T03:18:49.186634Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2509.14026","last_updated":"2026-07-06T11:24:08Z","snapshot_observed_at":"2026-08-14T03:39:08.506695Z","submitted_at":"2025-09-17T14:28:42Z","title":"Quantum Variational Activation Functions Empower Kolmogorov-Arnold Networks","version":2},"cited_work":{"arxiv_id":"2509.14026","doi":"10.48550/arxiv.2509.14026","metadata_source":"arxiv_reference","pith_arxiv_id":"2509.14026","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Quantum va riational activation functions empower Kolmogorov–Arnold networks","venue":"ArXiv.org","work_id":"b381d314-0335-4685-a283-129759f2373c","year":2025},"citing_paper":{"arxiv_id":"2605.06734","last_updated":"2026-05-07T13:04:09Z","snapshot_observed_at":"2026-08-11T15:46:23.971542Z","submitted_at":"2026-05-07T13:04:09Z","title":"Gated QKAN-FWP: Scalable Quantum-inspired Sequence Learning","version":1},"reference_index":50,"source":"arxiv_source","source_observed_at":"2026-05-11T02:00:27.185384Z"},"links":{"cited_paper":"/paper/2509.14026","citing_paper":"/paper/2605.06734"},"observation_digest":"sha256:9824862c0f86ae40e56bc4c83501eb61b64aaaf00baca61e8df8243fd1959be0","observation_id":"17aeb399-e281-4cb9-8c49-3aedd35f141d","resolution":{"observed_at":"2026-07-07T03:18:49.186634Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2509.14026","last_updated":"2026-07-06T11:24:08Z","snapshot_observed_at":"2026-08-14T03:39:08.506695Z","submitted_at":"2025-09-17T14:28:42Z","title":"Quantum Variational Activation Functions Empower Kolmogorov-Arnold Networks","version":2},"cited_work":{"arxiv_id":"2509.14026","doi":"10.48550/arxiv.2509.14026","metadata_source":"arxiv_reference","pith_arxiv_id":"2509.14026","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Quantum va riational activation functions empower Kolmogorov–Arnold networks","venue":"ArXiv.org","work_id":"b381d314-0335-4685-a283-129759f2373c","year":2025},"citing_paper":{"arxiv_id":"2606.24932","last_updated":"2026-06-22T10:10:53Z","snapshot_observed_at":"2026-07-06T23:59:28.120338Z","submitted_at":"2026-06-22T10:10:53Z","title":"Recursive QLSTM with Dynamic Variational Quantum Circuit Adaptation","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-06-26T08:11:58.814905Z"},"links":{"cited_paper":"/paper/2509.14026","citing_paper":"/paper/2606.24932"},"observation_digest":"sha256:45ca5e7ced78491dcfe05c797d097aef60f33a2591f1099af380914fbec19eda","observation_id":"fec0db7e-3a04-4199-97e1-f4aae077320e","resolution":{"observed_at":"2026-07-07T03:18:49.186634Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2509.14026","last_updated":"2026-07-06T11:24:08Z","snapshot_observed_at":"2026-08-14T03:39:08.506695Z","submitted_at":"2025-09-17T14:28:42Z","title":"Quantum Variational Activation Functions Empower Kolmogorov-Arnold Networks","version":2},"cited_work":{"arxiv_id":"2509.14026","doi":"10.48550/arxiv.2509.14026","metadata_source":"arxiv_reference","pith_arxiv_id":"2509.14026","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Quantum va riational activation functions empower Kolmogorov–Arnold networks","venue":"ArXiv.org","work_id":"b381d314-0335-4685-a283-129759f2373c","year":2025},"citing_paper":{"arxiv_id":"2606.24933","last_updated":"2026-06-22T10:21:03Z","snapshot_observed_at":"2026-08-03T01:48:34.859738Z","submitted_at":"2026-06-22T10:21:03Z","title":"Self-Modulating Quantum Fast-Weight Programmers for Efficient Adaptive Sequential Learning","version":1},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-06-26T08:09:31.308863Z"},"links":{"cited_paper":"/paper/2509.14026","citing_paper":"/paper/2606.24933"},"observation_digest":"sha256:fa811d1e19879aecc27038c4d55f74a3a365db1e7ad905697ba8e43d1c6353c1","observation_id":"88f9d712-c0e1-4541-8bdb-9180b2e13c86","resolution":{"observed_at":"2026-07-07T03:18:49.186634Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2509.14026","last_updated":"2026-07-06T11:24:08Z","snapshot_observed_at":"2026-08-14T03:39:08.506695Z","submitted_at":"2025-09-17T14:28:42Z","title":"Quantum Variational Activation Functions Empower Kolmogorov-Arnold Networks","version":2},"cited_work":{"arxiv_id":"2509.14026","doi":"10.48550/arxiv.2509.14026","metadata_source":"arxiv_reference","pith_arxiv_id":"2509.14026","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Quantum va riational activation functions empower Kolmogorov–Arnold networks","venue":"ArXiv.org","work_id":"b381d314-0335-4685-a283-129759f2373c","year":2025},"citing_paper":{"arxiv_id":"2606.27821","last_updated":"2026-06-26T08:02:27Z","snapshot_observed_at":"2026-07-07T00:01:59.695342Z","submitted_at":"2026-06-26T08:02:27Z","title":"Parameter-Efficient Quantum-Inspired Fast Weight Programmers for Traffic-Matrix Forecasting","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-06-29T04:50:31.803915Z"},"links":{"cited_paper":"/paper/2509.14026","citing_paper":"/paper/2606.27821"},"observation_digest":"sha256:75f8ec765c3c8406218e3c1326c3647b22a15fb7e515869b18a17901fcd67a82","observation_id":"ce940c4e-0f8f-4db8-b6be-231bad486a91","resolution":{"observed_at":"2026-07-07T03:18:49.186634Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2509.14026","last_updated":"2026-07-06T11:24:08Z","snapshot_observed_at":"2026-08-14T03:39:08.506695Z","submitted_at":"2025-09-17T14:28:42Z","title":"Quantum Variational Activation Functions Empower Kolmogorov-Arnold Networks","version":2},"cited_work":{"arxiv_id":"2509.14026","doi":"10.48550/arxiv.2509.14026","metadata_source":"arxiv_reference","pith_arxiv_id":"2509.14026","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Quantum va riational activation functions empower Kolmogorov–Arnold networks","venue":"ArXiv.org","work_id":"b381d314-0335-4685-a283-129759f2373c","year":2025},"citing_paper":{"arxiv_id":"2607.02363","last_updated":"2026-07-02T16:06:04Z","snapshot_observed_at":"2026-07-07T00:07:47.719699Z","submitted_at":"2026-07-02T16:06:04Z","title":"Stable Self-Modulating Quantum Fast-Weight Programmers with Bounded Memory Gates","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-07-03T11:43:16.980123Z"},"links":{"cited_paper":"/paper/2509.14026","citing_paper":"/paper/2607.02363"},"observation_digest":"sha256:c9f1b2d6bb04aa5b111b09bc566f563872c565b54a959b2391eafc02a52c6fe0","observation_id":"b6385122-c9c5-46b2-b877-142b0d0c371b","resolution":{"observed_at":"2026-07-07T03:18:49.186634Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2509.14026","last_updated":"2026-07-06T11:24:08Z","snapshot_observed_at":"2026-08-14T03:39:08.506695Z","submitted_at":"2025-09-17T14:28:42Z","title":"Quantum Variational Activation Functions Empower Kolmogorov-Arnold Networks","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2509.14026","snapshot_observed_at":"2026-07-12T04:15:55.665065Z","title":"QuantumVariationalActivationFunctionsEmpowerKolmogorov-ArnoldNetworks","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.03187","last_updated":"2026-07-03T10:46:32Z","snapshot_observed_at":"2026-08-13T13:59:38.619964Z","submitted_at":"2026-07-03T10:46:32Z","title":"Quantum Kolmogorov--Arnold representation theorem for continuous unitary-valued maps","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-07-12T04:15:55.665065Z"},"links":{"cited_paper":"/paper/2509.14026","citing_paper":"/paper/2607.03187"},"observation_digest":"sha256:211307cacc900fb4bb59c261aede3298a9ff866d6a2fece792c012a7669bac26","observation_id":"7c7f65b1-6527-4f73-9663-68a368b5a012","resolution":{"observed_at":"2026-07-12T04:15:55.665065Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2509.14026","last_updated":"2026-07-06T11:24:08Z","snapshot_observed_at":"2026-08-14T03:39:08.506695Z","submitted_at":"2025-09-17T14:28:42Z","title":"Quantum Variational Activation Functions Empower Kolmogorov-Arnold Networks","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2509.14026","snapshot_observed_at":"2026-07-31T22:38:16.752489Z","title":"Quantum variational activation functions empower Kolmogorov-Arnold networks,","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.27945","last_updated":"2026-07-30T09:52:22Z","snapshot_observed_at":"2026-08-08T11:05:31.465118Z","submitted_at":"2026-07-30T09:52:22Z","title":"Complementary Matrix-Gated QKAN Fast-Weight Programmers for Quantum Dynamics Forecasting","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-07-31T22:38:16.752489Z"},"links":{"cited_paper":"/paper/2509.14026","citing_paper":"/paper/2607.27945"},"observation_digest":"sha256:1724b2243633f31968baef9fcb9ce35f7a4d94c254c1fd1b2d17774a597afcc7","observation_id":"f0cc39d8-963e-4aa6-912c-a73cf2d5f074","resolution":{"observed_at":"2026-07-31T22:38:16.752489Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2509.14026/citation-record","integrity":"/paper/2509.14026/integrity","json":"/paper/2509.14026/citation-record.json","paper":"/paper/2509.14026"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T16:32:36.265103Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2509.14026","last_updated":"2026-07-06T11:24:08Z","snapshot_observed_at":"2026-08-14T03:39:08.506695Z","submitted_at":"2025-09-17T14:28:42Z","title":"Quantum Variational Activation Functions Empower Kolmogorov-Arnold Networks","version":2},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-04T16:32:36.265103Z"},"links":{"citing_paper":"/paper/2509.14026"},"observation_digest":"sha256:588a3a9af91975c4e493810a38cfaf7a73a489c3521bcd886895453f577a1d2d","observation_id":"54296c24-35b6-4280-a9e0-6f3ba2efed02","resolution":{"observed_at":"2026-08-04T16:32:36.265103Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2406.07456","last_updated":"2024-06-11T17:01:45Z","snapshot_observed_at":"2026-08-13T18:23:39.218268Z","submitted_at":"2024-06-11T17:01:45Z","title":"fKAN: Fractional Kolmogorov-Arnold Networks with trainable Jacobi basis functions","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2406.07456","snapshot_observed_at":"2026-08-04T16:32:36.269131Z","title":"f KAN : Fractional kolmogorov-arnold networks with trainable jacobi basis functions, 2024","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2509.14026","last_updated":"2026-07-06T11:24:08Z","snapshot_observed_at":"2026-08-14T03:39:08.506695Z","submitted_at":"2025-09-17T14:28:42Z","title":"Quantum Variational Activation Functions Empower Kolmogorov-Arnold Networks","version":2},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-04T16:32:36.269131Z"},"links":{"cited_paper":"/paper/2406.07456","citing_paper":"/paper/2509.14026"},"observation_digest":"sha256:bfe7c6d06af0bbef8229e45565ad7eea9a14e57017b448ee5ab117acaee04ff2","observation_id":"9f9a2d9c-5add-43d1-b9a4-6b34305e2ba3","resolution":{"observed_at":"2026-08-04T16:32:36.269131Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1412.6830","last_updated":"2015-04-21T08:05:02Z","snapshot_observed_at":"2026-08-08T10:22:07.293115Z","submitted_at":"2014-12-21T20:20:21Z","title":"Learning Activation Functions to Improve Deep Neural Networks","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1412.6830","snapshot_observed_at":"2026-08-04T16:32:36.272736Z","title":"Learning activation functions to improve deep neural networks, 2015","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2509.14026","last_updated":"2026-07-06T11:24:08Z","snapshot_observed_at":"2026-08-14T03:39:08.506695Z","submitted_at":"2025-09-17T14:28:42Z","title":"Quantum Variational Activation Functions Empower Kolmogorov-Arnold Networks","version":2},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-04T16:32:36.272736Z"},"links":{"cited_paper":"/paper/1412.6830","citing_paper":"/paper/2509.14026"},"observation_digest":"sha256:e277c6349ee0e41ada1b24892659601954c987fbf4275e05fa6b9823a6c1c0bf","observation_id":"dcc94256-a9ce-40a3-aae6-e1b18504774b","resolution":{"observed_at":"2026-08-04T16:32:36.272736Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T16:32:36.276202Z","title":"Pytorch 2: Faster machine learning through dynamic python bytecode transformation and graph compilation","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2509.14026","last_updated":"2026-07-06T11:24:08Z","snapshot_observed_at":"2026-08-14T03:39:08.506695Z","submitted_at":"2025-09-17T14:28:42Z","title":"Quantum Variational Activation Functions Empower Kolmogorov-Arnold Networks","version":2},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-04T16:32:36.276202Z"},"links":{"citing_paper":"/paper/2509.14026"},"observation_digest":"sha256:7f6db32a99d903010f937e27d7d010f9cc4e2a45b88d5d7eeea39eaa966460f0","observation_id":"98386b57-8d76-4b20-8527-9ace7c73e939","resolution":{"observed_at":"2026-08-04T16:32:36.276202Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/j.neunet.2021.01.026","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"A survey on modern trainable activation functions","venue":"Neural Networks","work_id":"da099356-f5f4-47e3-9f7a-d03be8c8ef8d","year":2021},"citing_paper":{"arxiv_id":"2509.14026","last_updated":"2026-07-06T11:24:08Z","snapshot_observed_at":"2026-08-14T03:39:08.506695Z","submitted_at":"2025-09-17T14:28:42Z","title":"Quantum Variational Activation Functions Empower Kolmogorov-Arnold Networks","version":2},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-04T16:32:36.279228Z"},"links":{"citing_paper":"/paper/2509.14026"},"observation_digest":"sha256:2c506175fee38f89fd8fb5c69412be9a045bad58909c7ef60f884d7f22c1dd77","observation_id":"aa890945-4bcd-4cc2-a5d0-ac305557acab","resolution":{"observed_at":"2026-08-04T16:33:37.475542Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T16:32:36.282805Z","title":"Quantum machine learning","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2509.14026","last_updated":"2026-07-06T11:24:08Z","snapshot_observed_at":"2026-08-14T03:39:08.506695Z","submitted_at":"2025-09-17T14:28:42Z","title":"Quantum Variational Activation Functions Empower Kolmogorov-Arnold Networks","version":2},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-04T16:32:36.282805Z"},"links":{"citing_paper":"/paper/2509.14026"},"observation_digest":"sha256:6dd4904f8ee9a84b7b55b81b6e2beb9d80b3c71b864a90cf0b54c1c6bc282aa4","observation_id":"63747110-5abf-4122-9750-ec9bd3a26440","resolution":{"observed_at":"2026-08-04T16:32:36.282805Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2405.12832","last_updated":"2024-05-27T15:12:55Z","snapshot_observed_at":"2026-08-13T00:02:55.681025Z","submitted_at":"2024-05-21T14:36:16Z","title":"Wav-KAN: Wavelet Kolmogorov-Arnold Networks","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2405.12832","snapshot_observed_at":"2026-08-04T16:32:36.286989Z","title":"Wav-kan: Wavelet kolmogorov-arnold networks, 2024","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2509.14026","last_updated":"2026-07-06T11:24:08Z","snapshot_observed_at":"2026-08-14T03:39:08.506695Z","submitted_at":"2025-09-17T14:28:42Z","title":"Quantum Variational Activation Functions Empower Kolmogorov-Arnold Networks","version":2},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-04T16:32:36.286989Z"},"links":{"cited_paper":"/paper/2405.12832","citing_paper":"/paper/2509.14026"},"observation_digest":"sha256:ecd727e303b8090096ccd1782638cc4b711a4a0a8c3b0aba7785f24471285689","observation_id":"20de040d-ec4b-47e9-8670-533fcbad922d","resolution":{"observed_at":"2026-08-04T16:32:36.286989Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2005.14165","last_updated":"2020-07-22T19:47:17Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2020-05-28T17:29:03Z","title":"Language Models are Few-Shot Learners","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2005.14165","snapshot_observed_at":"2026-08-04T16:32:36.290687Z","title":"Brown et al","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2509.14026","last_updated":"2026-07-06T11:24:08Z","snapshot_observed_at":"2026-08-14T03:39:08.506695Z","submitted_at":"2025-09-17T14:28:42Z","title":"Quantum Variational Activation Functions Empower Kolmogorov-Arnold Networks","version":2},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-04T16:32:36.290687Z"},"links":{"cited_paper":"/paper/2005.14165","citing_paper":"/paper/2509.14026"},"observation_digest":"sha256:758aff4d4f0784d1bf183844c692adc734034c473f74ac57cc1c4f7f6114eeeb","observation_id":"3fd82768-d0d0-419b-84f2-5593da231f39","resolution":{"observed_at":"2026-08-04T16:32:36.290687Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2504.16131","last_updated":"2025-04-21T15:13:33Z","snapshot_observed_at":"2026-08-07T16:00:33.224923Z","submitted_at":"2025-04-21T15:13:33Z","title":"Introduction to Quantum Machine Learning and Quantum Architecture Search","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2504.16131","snapshot_observed_at":"2026-08-04T16:32:36.294205Z","title":"Introduction to quantum machine learning and quantum architecture search, 2025","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2509.14026","last_updated":"2026-07-06T11:24:08Z","snapshot_observed_at":"2026-08-14T03:39:08.506695Z","submitted_at":"2025-09-17T14:28:42Z","title":"Quantum Variational Activation Functions Empower Kolmogorov-Arnold Networks","version":2},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-04T16:32:36.294205Z"},"links":{"cited_paper":"/paper/2504.16131","citing_paper":"/paper/2509.14026"},"observation_digest":"sha256:a6795ec9302a812dec11d7a7d3f7b2978d087f428f57ef0a170f824f9bd34223","observation_id":"4143b903-5cd4-418c-ad41-226f0b0ce1aa","resolution":{"observed_at":"2026-08-04T16:32:36.294205Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.3390/e23040460","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Federated quantum machine learning","venue":"Entropy","work_id":"06ac0cf9-2803-42d2-afc1-39ea54047726","year":2021},"citing_paper":{"arxiv_id":"2509.14026","last_updated":"2026-07-06T11:24:08Z","snapshot_observed_at":"2026-08-14T03:39:08.506695Z","submitted_at":"2025-09-17T14:28:42Z","title":"Quantum Variational Activation Functions Empower Kolmogorov-Arnold Networks","version":2},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-04T16:32:36.297453Z"},"links":{"citing_paper":"/paper/2509.14026"},"observation_digest":"sha256:7c2f3dd5c234eeab3a4a76b07ff016eb8f94c5c2acf9232f5f11f32cf27f74db","observation_id":"c1a75790-1ccd-4dcb-8739-1d391c668d61","resolution":{"observed_at":"2026-08-04T16:33:37.288778Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T16:32:36.300664Z","title":"Variational quantum circuits for deep reinforcement learning","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2509.14026","last_updated":"2026-07-06T11:24:08Z","snapshot_observed_at":"2026-08-14T03:39:08.506695Z","submitted_at":"2025-09-17T14:28:42Z","title":"Quantum Variational Activation Functions Empower Kolmogorov-Arnold Networks","version":2},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-04T16:32:36.300664Z"},"links":{"citing_paper":"/paper/2509.14026"},"observation_digest":"sha256:4c9e564cee15ebf19f173f0adac33b0484ea63a06942499bd36ecc09330c2790","observation_id":"1ddf1b58-e50b-45a2-ad65-723f45f40208","resolution":{"observed_at":"2026-08-04T16:32:36.300664Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T16:32:36.303887Z","title":"Quantum machine learning: a classical perspective","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2509.14026","last_updated":"2026-07-06T11:24:08Z","snapshot_observed_at":"2026-08-14T03:39:08.506695Z","submitted_at":"2025-09-17T14:28:42Z","title":"Quantum Variational Activation Functions Empower Kolmogorov-Arnold Networks","version":2},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-04T16:32:36.303887Z"},"links":{"citing_paper":"/paper/2509.14026"},"observation_digest":"sha256:fea841a5be566fa307c31fe43c6e56f301ce43d5ab266db9ffcdcd0d47e1a022","observation_id":"0225c6ec-c534-4ab6-b127-f078067892eb","resolution":{"observed_at":"2026-08-04T16:32:36.303887Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2205.14135","last_updated":"2022-06-23T17:53:32Z","snapshot_observed_at":"2026-07-06T13:14:48.753329Z","submitted_at":"2022-05-27T17:53:09Z","title":"FlashAttention: Fast and Memory-Efficient Exact Attention with IO-Awareness","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2205.14135","snapshot_observed_at":"2026-08-04T16:32:36.306703Z","title":"Fu, Stefano Ermon, Atri Rudra, and Christopher Ré","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2509.14026","last_updated":"2026-07-06T11:24:08Z","snapshot_observed_at":"2026-08-14T03:39:08.506695Z","submitted_at":"2025-09-17T14:28:42Z","title":"Quantum Variational Activation Functions Empower Kolmogorov-Arnold Networks","version":2},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-04T16:32:36.306703Z"},"links":{"cited_paper":"/paper/2205.14135","citing_paper":"/paper/2509.14026"},"observation_digest":"sha256:03d9e792fbff2b1f6e319233dfbea79e390112895421bef1dfe30d9e073b568b","observation_id":"b4ce858b-8e06-4f0e-b121-26ad12240766","resolution":{"observed_at":"2026-08-04T16:32:36.306703Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T16:32:36.309804Z","title":"The mnist database of handwritten digit images for machine learning research [best of the web]","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2509.14026","last_updated":"2026-07-06T11:24:08Z","snapshot_observed_at":"2026-08-14T03:39:08.506695Z","submitted_at":"2025-09-17T14:28:42Z","title":"Quantum Variational Activation Functions Empower Kolmogorov-Arnold Networks","version":2},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-04T16:32:36.309804Z"},"links":{"citing_paper":"/paper/2509.14026"},"observation_digest":"sha256:5b4117ed5ae32b6473b5a927fa27b9dbfda0a380a5449e5916637bfec077e92a","observation_id":"123a1e13-fc30-4d2f-8be5-a512b6836e8e","resolution":{"observed_at":"2026-08-04T16:32:36.309804Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T16:32:36.312668Z","title":"Quantum machine learning: A comprehensive review of integrating ai with quantum computing for computational advancements","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2509.14026","last_updated":"2026-07-06T11:24:08Z","snapshot_observed_at":"2026-08-14T03:39:08.506695Z","submitted_at":"2025-09-17T14:28:42Z","title":"Quantum Variational Activation Functions Empower Kolmogorov-Arnold Networks","version":2},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-04T16:32:36.312668Z"},"links":{"citing_paper":"/paper/2509.14026"},"observation_digest":"sha256:275904483d4260572071cd1809a4e3a39b9d79942df4dbac550266e9933732a6","observation_id":"b1fb6f42-ab3b-421c-90a6-4e1ac1cfd7cf","resolution":{"observed_at":"2026-08-04T16:32:36.312668Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T16:32:36.315695Z","title":"B-splines in machine learning","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2509.14026","last_updated":"2026-07-06T11:24:08Z","snapshot_observed_at":"2026-08-14T03:39:08.506695Z","submitted_at":"2025-09-17T14:28:42Z","title":"Quantum Variational Activation Functions Empower Kolmogorov-Arnold Networks","version":2},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-04T16:32:36.315695Z"},"links":{"citing_paper":"/paper/2509.14026"},"observation_digest":"sha256:e34a28336dfbfa07539032d63b884e7e09dac215d99dc2531245a98791c2993d","observation_id":"b42f1999-1ecb-4393-8425-d4cc1529a6a1","resolution":{"observed_at":"2026-08-04T16:32:36.315695Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T16:32:36.319036Z","title":"Taylor, and Hans J","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2509.14026","last_updated":"2026-07-06T11:24:08Z","snapshot_observed_at":"2026-08-14T03:39:08.506695Z","submitted_at":"2025-09-17T14:28:42Z","title":"Quantum Variational Activation Functions Empower Kolmogorov-Arnold Networks","version":2},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-04T16:32:36.319036Z"},"links":{"citing_paper":"/paper/2509.14026"},"observation_digest":"sha256:5bb6510833269e9fde72722f94b03e98fb3514eb6219d79e36e5e00a46bffc8d","observation_id":"bc879a32-6527-41ae-a00f-ed026aa882aa","resolution":{"observed_at":"2026-08-04T16:32:36.319036Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1802.06002","last_updated":"2018-08-30T20:23:02Z","snapshot_observed_at":"2026-08-12T14:11:29.981986Z","submitted_at":"2018-02-16T16:09:34Z","title":"Classification with Quantum Neural Networks on Near Term Processors","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1802.06002","snapshot_observed_at":"2026-08-04T16:32:36.322332Z","title":"Classification with quantum neural networks on near term processors, 2018","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2509.14026","last_updated":"2026-07-06T11:24:08Z","snapshot_observed_at":"2026-08-14T03:39:08.506695Z","submitted_at":"2025-09-17T14:28:42Z","title":"Quantum Variational Activation Functions Empower Kolmogorov-Arnold Networks","version":2},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-08-04T16:32:36.322332Z"},"links":{"cited_paper":"/paper/1802.06002","citing_paper":"/paper/2509.14026"},"observation_digest":"sha256:f31ebb9087fbccf31a66d34c7edd78e16d0403f7990c2cce9c3c89436e16b1c3","observation_id":"18865a4d-e34d-45d4-ad3e-40bbbf6f9a62","resolution":{"observed_at":"2026-08-04T16:32:36.322332Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T16:32:36.325241Z","title":"Kan-gpt: The pytorch implementation of generative pre-trained transformers (gpts) using kolmogorov-arnold networks (kans) for language modeling, May 2024","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2509.14026","last_updated":"2026-07-06T11:24:08Z","snapshot_observed_at":"2026-08-14T03:39:08.506695Z","submitted_at":"2025-09-17T14:28:42Z","title":"Quantum Variational Activation Functions Empower Kolmogorov-Arnold Networks","version":2},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-04T16:32:36.325241Z"},"links":{"citing_paper":"/paper/2509.14026"},"observation_digest":"sha256:0900709ae38b2b9bc2436209bf2a7766d48cec607955ac840344a3853ad2b190","observation_id":"34bb14e1-30ba-4583-bfad-680d58ac1222","resolution":{"observed_at":"2026-08-04T16:32:36.325241Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2405.07344","last_updated":"2025-07-14T14:09:59Z","snapshot_observed_at":"2026-08-13T00:09:21.989958Z","submitted_at":"2024-05-12T17:40:48Z","title":"TKAN: Temporal Kolmogorov-Arnold Networks","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2405.07344","snapshot_observed_at":"2026-08-04T16:32:36.327923Z","title":"Tkan: Temporal kolmogorov-arnold networks, 2024","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2509.14026","last_updated":"2026-07-06T11:24:08Z","snapshot_observed_at":"2026-08-14T03:39:08.506695Z","submitted_at":"2025-09-17T14:28:42Z","title":"Quantum Variational Activation Functions Empower Kolmogorov-Arnold Networks","version":2},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-08-04T16:32:36.327923Z"},"links":{"cited_paper":"/paper/2405.07344","citing_paper":"/paper/2509.14026"},"observation_digest":"sha256:c8334f066ea9381109210fe283b63b0f9e457adc0a65eefaa0a548d9e9d53b17","observation_id":"51c3c253-1e26-41cd-9ed5-e439d97934fe","resolution":{"observed_at":"2026-08-04T16:32:36.327923Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T16:32:36.331013Z","title":"Representation properties of networks: Kolmogorov's theorem is irrelevant","venue":null,"work_id":null,"year":1989},"citing_paper":{"arxiv_id":"2509.14026","last_updated":"2026-07-06T11:24:08Z","snapshot_observed_at":"2026-08-14T03:39:08.506695Z","submitted_at":"2025-09-17T14:28:42Z","title":"Quantum Variational Activation Functions Empower Kolmogorov-Arnold Networks","version":2},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-08-04T16:32:36.331013Z"},"links":{"citing_paper":"/paper/2509.14026"},"observation_digest":"sha256:db429800ab1d67b9b08553e04f0f66ad28ca7f9effdfc68c691999d7fa59d6f0","observation_id":"de351cce-0015-419b-91d7-9547ec365e6b","resolution":{"observed_at":"2026-08-04T16:32:36.331013Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T16:32:36.334516Z","title":"Harrow, Avinatan Hassidim, and Seth Lloyd","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2509.14026","last_updated":"2026-07-06T11:24:08Z","snapshot_observed_at":"2026-08-14T03:39:08.506695Z","submitted_at":"2025-09-17T14:28:42Z","title":"Quantum Variational Activation Functions Empower Kolmogorov-Arnold Networks","version":2},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-08-04T16:32:36.334516Z"},"links":{"citing_paper":"/paper/2509.14026"},"observation_digest":"sha256:9566a9117fef4531fb2d4849033f31a58189982b8f3684141be384f512accd6a","observation_id":"f8891a39-2cdd-4060-892c-e69d440b64ce","resolution":{"observed_at":"2026-08-04T16:32:36.334516Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T16:32:36.337496Z","title":"Delving deep into rectifiers: Surpassing human-level performance on imagenet classification","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2509.14026","last_updated":"2026-07-06T11:24:08Z","snapshot_observed_at":"2026-08-14T03:39:08.506695Z","submitted_at":"2025-09-17T14:28:42Z","title":"Quantum Variational Activation Functions Empower Kolmogorov-Arnold Networks","version":2},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-08-04T16:32:36.337496Z"},"links":{"citing_paper":"/paper/2509.14026"},"observation_digest":"sha256:55e436b58422e98ebd8d636f2e8bce7bdb57d186d629c15659648e879128f4a7","observation_id":"06e38403-749d-4412-b2be-b1fa95e6e520","resolution":{"observed_at":"2026-08-04T16:32:36.337496Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T16:32:36.340473Z","title":"Howard, Bruno Jacob, Sarah H","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2509.14026","last_updated":"2026-07-06T11:24:08Z","snapshot_observed_at":"2026-08-14T03:39:08.506695Z","submitted_at":"2025-09-17T14:28:42Z","title":"Quantum Variational Activation Functions Empower Kolmogorov-Arnold Networks","version":2},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-08-04T16:32:36.340473Z"},"links":{"citing_paper":"/paper/2509.14026"},"observation_digest":"sha256:47bb2b41c756cde6733a6a3102181f808c7cc276eb114083536d25fb118d3b7c","observation_id":"025a93f9-cad8-45e6-8cf3-fea956a71fdf","resolution":{"observed_at":"2026-08-04T16:32:36.340473Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T16:32:36.343089Z","title":"Enabling non-linear quantum operations through variational quantum splines","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2509.14026","last_updated":"2026-07-06T11:24:08Z","snapshot_observed_at":"2026-08-14T03:39:08.506695Z","submitted_at":"2025-09-17T14:28:42Z","title":"Quantum Variational Activation Functions Empower Kolmogorov-Arnold Networks","version":2},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-08-04T16:32:36.343089Z"},"links":{"citing_paper":"/paper/2509.14026"},"observation_digest":"sha256:fafa76347d90b103ff2f099105b4f6dabf0bc065b9076c20bbdf417459ab84d4","observation_id":"341838db-3b4b-4557-8724-7828c9fc41ac","resolution":{"observed_at":"2026-08-04T16:32:36.343089Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T16:32:36.346229Z","title":"Fiderer, Hendrik Poulsen Nautrup, Jonas M","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2509.14026","last_updated":"2026-07-06T11:24:08Z","snapshot_observed_at":"2026-08-14T03:39:08.506695Z","submitted_at":"2025-09-17T14:28:42Z","title":"Quantum Variational Activation Functions Empower Kolmogorov-Arnold Networks","version":2},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-08-04T16:32:36.346229Z"},"links":{"citing_paper":"/paper/2509.14026"},"observation_digest":"sha256:02744e760f572e99c3e59f8bd5c8328b2ce42cc31a7ab56516d7b8b872b11c99","observation_id":"f391109f-4582-4a73-8ceb-6a3fe33d30f6","resolution":{"observed_at":"2026-08-04T16:32:36.346229Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T16:32:36.349159Z","title":"Quantum-inspired kolmogorov-arnold network, 2025","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2509.14026","last_updated":"2026-07-06T11:24:08Z","snapshot_observed_at":"2026-08-14T03:39:08.506695Z","submitted_at":"2025-09-17T14:28:42Z","title":"Quantum Variational Activation Functions Empower Kolmogorov-Arnold Networks","version":2},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-08-04T16:32:36.349159Z"},"links":{"citing_paper":"/paper/2509.14026"},"observation_digest":"sha256:31d21cf97aa1d9d2db1dd18c8a703b19cf45d3f82b60d2545708f65cada1c1c9","observation_id":"e33a7824-5a5e-4be1-848f-297629b1986a","resolution":{"observed_at":"2026-08-04T16:32:36.349159Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T16:32:36.352190Z","title":"nanogpt, 2022","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2509.14026","last_updated":"2026-07-06T11:24:08Z","snapshot_observed_at":"2026-08-14T03:39:08.506695Z","submitted_at":"2025-09-17T14:28:42Z","title":"Quantum Variational Activation Functions Empower Kolmogorov-Arnold Networks","version":2},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-08-04T16:32:36.352190Z"},"links":{"citing_paper":"/paper/2509.14026"},"observation_digest":"sha256:c90f945ab7622c710ed79aca5134245b75ef2ba97e5fe4f8d5634bd956c5ad44","observation_id":"876328e0-fa0e-40fc-9199-021463d33bbe","resolution":{"observed_at":"2026-08-04T16:32:36.352190Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1412.6980","last_updated":"2017-01-30T01:27:54Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2014-12-22T13:54:29Z","title":"Adam: A Method for Stochastic Optimization","version":9},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1412.6980","snapshot_observed_at":"2026-08-04T16:32:36.355038Z","title":"Kingma and Jimmy Ba","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2509.14026","last_updated":"2026-07-06T11:24:08Z","snapshot_observed_at":"2026-08-14T03:39:08.506695Z","submitted_at":"2025-09-17T14:28:42Z","title":"Quantum Variational Activation Functions Empower Kolmogorov-Arnold Networks","version":2},"reference_index":29,"source":"arxiv_source","source_observed_at":"2026-08-04T16:32:36.355038Z"},"links":{"cited_paper":"/paper/1412.6980","citing_paper":"/paper/2509.14026"},"observation_digest":"sha256:4c6065226d78eed0f65ad8c63ccb0c9aacd67120ab908c49a0a074f9df17ad2e","observation_id":"9a2ccb1f-eb72-4d5e-8d2e-af49fcb64472","resolution":{"observed_at":"2026-08-04T16:32:36.355038Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T16:32:36.358122Z","title":"On the representation of continuous functions of many variables by superposition of continuous functions of one variable and addition","venue":null,"work_id":null,"year":1957},"citing_paper":{"arxiv_id":"2509.14026","last_updated":"2026-07-06T11:24:08Z","snapshot_observed_at":"2026-08-14T03:39:08.506695Z","submitted_at":"2025-09-17T14:28:42Z","title":"Quantum Variational Activation Functions Empower Kolmogorov-Arnold Networks","version":2},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-08-04T16:32:36.358122Z"},"links":{"citing_paper":"/paper/2509.14026"},"observation_digest":"sha256:74c552ded949ff6f7ca7d0c59daf57da63ce2d1f64a32e899f5b16621ac55008","observation_id":"0c2366b6-93e0-49b0-8f71-bebc2fade8d9","resolution":{"observed_at":"2026-08-04T16:32:36.358122Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T16:32:36.360798Z","title":"Learning multiple layers of features from tiny images","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2509.14026","last_updated":"2026-07-06T11:24:08Z","snapshot_observed_at":"2026-08-14T03:39:08.506695Z","submitted_at":"2025-09-17T14:28:42Z","title":"Quantum Variational Activation Functions Empower Kolmogorov-Arnold Networks","version":2},"reference_index":31,"source":"arxiv_source","source_observed_at":"2026-08-04T16:32:36.360798Z"},"links":{"citing_paper":"/paper/2509.14026"},"observation_digest":"sha256:7ca79c1bc5c4ef1551af7ef795c49be4da921c312b257a71dfdc0a4f3b3e195b","observation_id":"ce67ddae-f79c-4dc9-9b86-77b73062dd7c","resolution":{"observed_at":"2026-08-04T16:32:36.360798Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2406.02918","last_updated":"2024-08-22T11:55:56Z","snapshot_observed_at":"2026-08-14T06:42:27.086387Z","submitted_at":"2024-06-05T04:13:03Z","title":"U-KAN Makes Strong Backbone for Medical Image Segmentation and Generation","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2406.02918","snapshot_observed_at":"2026-08-04T16:32:36.363499Z","title":"U-kan makes strong backbone for medical image segmentation and generation, 2024 a","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2509.14026","last_updated":"2026-07-06T11:24:08Z","snapshot_observed_at":"2026-08-14T03:39:08.506695Z","submitted_at":"2025-09-17T14:28:42Z","title":"Quantum Variational Activation Functions Empower Kolmogorov-Arnold Networks","version":2},"reference_index":32,"source":"arxiv_source","source_observed_at":"2026-08-04T16:32:36.363499Z"},"links":{"cited_paper":"/paper/2406.02918","citing_paper":"/paper/2509.14026"},"observation_digest":"sha256:0f3b6463459b34eb8180a495c6b185c52bab05a1453ca71d8452495c85709b24","observation_id":"bb18f6fd-49db-48ab-a563-d56eeb95ab69","resolution":{"observed_at":"2026-08-04T16:32:36.363499Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2404.05901","last_updated":"2024-10-23T13:28:28Z","snapshot_observed_at":"2026-08-13T00:34:37.764223Z","submitted_at":"2024-04-08T23:08:38Z","title":"Quantum-inspired activation functions and quantum Chebyshev-polynomial network","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2404.05901","snapshot_observed_at":"2026-08-04T16:32:36.366903Z","title":"Quantum-inspired activation functions and quantum chebyshev-polynomial network, 2024 b","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2509.14026","last_updated":"2026-07-06T11:24:08Z","snapshot_observed_at":"2026-08-14T03:39:08.506695Z","submitted_at":"2025-09-17T14:28:42Z","title":"Quantum Variational Activation Functions Empower Kolmogorov-Arnold Networks","version":2},"reference_index":33,"source":"arxiv_source","source_observed_at":"2026-08-04T16:32:36.366903Z"},"links":{"cited_paper":"/paper/2404.05901","citing_paper":"/paper/2509.14026"},"observation_digest":"sha256:ff13eed20392ebaa98db6cc265275255dfde8c17035830436627f3db353a14e3","observation_id":"acee9cb9-2e0a-4972-b11b-5b45ae08a77c","resolution":{"observed_at":"2026-08-04T16:32:36.366903Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T16:32:36.370447Z","title":"Kolmogorov-arnold networks are radial basis function networks, 2024","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2509.14026","last_updated":"2026-07-06T11:24:08Z","snapshot_observed_at":"2026-08-14T03:39:08.506695Z","submitted_at":"2025-09-17T14:28:42Z","title":"Quantum Variational Activation Functions Empower Kolmogorov-Arnold Networks","version":2},"reference_index":34,"source":"arxiv_source","source_observed_at":"2026-08-04T16:32:36.370447Z"},"links":{"citing_paper":"/paper/2509.14026"},"observation_digest":"sha256:04fabe73aaabdb6b9358bedf6aa915b8e8ecdde8b830a12d6bfafaffd458dac9","observation_id":"69cbee91-6f12-4cee-ae95-4bfc73b9c6f3","resolution":{"observed_at":"2026-08-04T16:32:36.370447Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2405.11304","last_updated":"2024-06-10T16:22:38Z","snapshot_observed_at":"2026-08-13T00:04:35.750133Z","submitted_at":"2024-05-18T14:35:57Z","title":"Quantum-Train: Rethinking Hybrid Quantum-Classical Machine Learning in the Model Compression Perspective","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2405.11304","snapshot_observed_at":"2026-08-04T16:32:36.373372Z","title":"Quantum-train: Rethinking hybrid quantum-classical machine learning in the model compression perspective, 2024 a","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2509.14026","last_updated":"2026-07-06T11:24:08Z","snapshot_observed_at":"2026-08-14T03:39:08.506695Z","submitted_at":"2025-09-17T14:28:42Z","title":"Quantum Variational Activation Functions Empower Kolmogorov-Arnold Networks","version":2},"reference_index":35,"source":"arxiv_source","source_observed_at":"2026-08-04T16:32:36.373372Z"},"links":{"cited_paper":"/paper/2405.11304","citing_paper":"/paper/2509.14026"},"observation_digest":"sha256:e031c335cb10211b75180988150145f0d59bfd3cf2b4814ff73913e591ac28af","observation_id":"ce2d9520-fd3d-44e8-944e-04b8f89d3bc4","resolution":{"observed_at":"2026-08-04T16:32:36.373372Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T16:32:36.376793Z","title":"Liu and Jorge Nocedal","venue":null,"work_id":null,"year":1989},"citing_paper":{"arxiv_id":"2509.14026","last_updated":"2026-07-06T11:24:08Z","snapshot_observed_at":"2026-08-14T03:39:08.506695Z","submitted_at":"2025-09-17T14:28:42Z","title":"Quantum Variational Activation Functions Empower Kolmogorov-Arnold Networks","version":2},"reference_index":36,"source":"arxiv_source","source_observed_at":"2026-08-04T16:32:36.376793Z"},"links":{"citing_paper":"/paper/2509.14026"},"observation_digest":"sha256:b09155e67514aab357da3ddfcd35b6ea4ec9408310b23f7744382a095c86e4bb","observation_id":"02d8049c-3231-4318-9dcd-44fbf56f556f","resolution":{"observed_at":"2026-08-04T16:32:36.376793Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2408.10205","last_updated":"2024-08-19T17:59:04Z","snapshot_observed_at":"2026-08-13T23:16:36.122947Z","submitted_at":"2024-08-19T17:59:04Z","title":"KAN 2.0: Kolmogorov-Arnold Networks Meet Science","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2408.10205","snapshot_observed_at":"2026-08-04T16:32:36.379686Z","title":"Kan 2.0: Kolmogorov-arnold networks meet science, 2024 b","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2509.14026","last_updated":"2026-07-06T11:24:08Z","snapshot_observed_at":"2026-08-14T03:39:08.506695Z","submitted_at":"2025-09-17T14:28:42Z","title":"Quantum Variational Activation Functions Empower Kolmogorov-Arnold Networks","version":2},"reference_index":37,"source":"arxiv_source","source_observed_at":"2026-08-04T16:32:36.379686Z"},"links":{"cited_paper":"/paper/2408.10205","citing_paper":"/paper/2509.14026"},"observation_digest":"sha256:b10797ce9a2a5a01b92155711086da9fc1dd0eca489136a4c62946c7ab8ac45d","observation_id":"4366452e-1f79-4088-869f-6cc92c492384","resolution":{"observed_at":"2026-08-04T16:32:36.379686Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2404.19756","last_updated":"2025-02-09T21:09:09Z","snapshot_observed_at":"2026-07-06T18:07:47.744531Z","submitted_at":"2024-04-30T17:58:29Z","title":"KAN: Kolmogorov-Arnold Networks","version":5},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2404.19756","snapshot_observed_at":"2026-08-04T16:32:36.382760Z","title":"Kan: Kolmogorov-arnold networks","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2509.14026","last_updated":"2026-07-06T11:24:08Z","snapshot_observed_at":"2026-08-14T03:39:08.506695Z","submitted_at":"2025-09-17T14:28:42Z","title":"Quantum Variational Activation Functions Empower Kolmogorov-Arnold Networks","version":2},"reference_index":38,"source":"arxiv_source","source_observed_at":"2026-08-04T16:32:36.382760Z"},"links":{"cited_paper":"/paper/2404.19756","citing_paper":"/paper/2509.14026"},"observation_digest":"sha256:6675f2d26c00e3d5f150eff18d0b2d3576e599a19be59c8e85fcb398ff3b8d7d","observation_id":"208e75d5-8ee8-40f7-b199-7e32e87954db","resolution":{"observed_at":"2026-08-04T16:32:36.382760Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T16:32:36.385695Z","title":"Decoupled weight decay regularization","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2509.14026","last_updated":"2026-07-06T11:24:08Z","snapshot_observed_at":"2026-08-14T03:39:08.506695Z","submitted_at":"2025-09-17T14:28:42Z","title":"Quantum Variational Activation Functions Empower Kolmogorov-Arnold Networks","version":2},"reference_index":39,"source":"arxiv_source","source_observed_at":"2026-08-04T16:32:36.385695Z"},"links":{"citing_paper":"/paper/2509.14026"},"observation_digest":"sha256:5c3a7a5880384554a7b6da96dabf9fd5c017609147be80a604bd61d63a90ea75","observation_id":"f34086c3-7785-4fe7-8068-cd1231b0a5aa","resolution":{"observed_at":"2026-08-04T16:32:36.385695Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T16:32:36.388508Z","title":"Bromley, Josh Izaac, Maria Schuld, and Nathan Killoran","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2509.14026","last_updated":"2026-07-06T11:24:08Z","snapshot_observed_at":"2026-08-14T03:39:08.506695Z","submitted_at":"2025-09-17T14:28:42Z","title":"Quantum Variational Activation Functions Empower Kolmogorov-Arnold Networks","version":2},"reference_index":40,"source":"arxiv_source","source_observed_at":"2026-08-04T16:32:36.388508Z"},"links":{"citing_paper":"/paper/2509.14026"},"observation_digest":"sha256:c6e7dd2ac8e2fdd27a8e5539fee0703554e240926f4fa8cf6e117d6310462e94","observation_id":"8ec1fd97-5bdc-4835-a0c3-6f0a5a1545f8","resolution":{"observed_at":"2026-08-04T16:32:36.388508Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T16:32:36.391851Z","title":"Barren plateaus in quantum neural network training landscapes","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2509.14026","last_updated":"2026-07-06T11:24:08Z","snapshot_observed_at":"2026-08-14T03:39:08.506695Z","submitted_at":"2025-09-17T14:28:42Z","title":"Quantum Variational Activation Functions Empower Kolmogorov-Arnold Networks","version":2},"reference_index":41,"source":"arxiv_source","source_observed_at":"2026-08-04T16:32:36.391851Z"},"links":{"citing_paper":"/paper/2509.14026"},"observation_digest":"sha256:7c6c43e173de5ad5c622fcddbd83b65d855e60721dce5e65cf5658f18d136bb9","observation_id":"0d4b745b-fcf2-463b-b9f4-4abd731ea0b5","resolution":{"observed_at":"2026-08-04T16:32:36.391851Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T16:32:36.395081Z","title":"Exploiting symmetry in variational quantum machine learning","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2509.14026","last_updated":"2026-07-06T11:24:08Z","snapshot_observed_at":"2026-08-14T03:39:08.506695Z","submitted_at":"2025-09-17T14:28:42Z","title":"Quantum Variational Activation Functions Empower Kolmogorov-Arnold Networks","version":2},"reference_index":42,"source":"arxiv_source","source_observed_at":"2026-08-04T16:32:36.395081Z"},"links":{"citing_paper":"/paper/2509.14026"},"observation_digest":"sha256:5578e96e0b3ed3f5467fe900062ae271663aba11d1e2c72dce558ffc51175236","observation_id":"1a9c1e3e-6531-439d-bcc0-d84b3e329013","resolution":{"observed_at":"2026-08-04T16:32:36.395081Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T16:32:36.398090Z","title":"Mitarai, M","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2509.14026","last_updated":"2026-07-06T11:24:08Z","snapshot_observed_at":"2026-08-14T03:39:08.506695Z","submitted_at":"2025-09-17T14:28:42Z","title":"Quantum Variational Activation Functions Empower Kolmogorov-Arnold Networks","version":2},"reference_index":43,"source":"arxiv_source","source_observed_at":"2026-08-04T16:32:36.398090Z"},"links":{"citing_paper":"/paper/2509.14026"},"observation_digest":"sha256:53bf31cbb32e6302eb43eadc410096793974147669ec3a79b226606813ab8bfc","observation_id":"2ab0edee-7669-48ce-9169-c2889f36456b","resolution":{"observed_at":"2026-08-04T16:32:36.398090Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T16:32:36.401039Z","title":"Pad \\'e activation units: End-to-end learning of flexible activation functions in deep networks","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2509.14026","last_updated":"2026-07-06T11:24:08Z","snapshot_observed_at":"2026-08-14T03:39:08.506695Z","submitted_at":"2025-09-17T14:28:42Z","title":"Quantum Variational Activation Functions Empower Kolmogorov-Arnold Networks","version":2},"reference_index":44,"source":"arxiv_source","source_observed_at":"2026-08-04T16:32:36.401039Z"},"links":{"citing_paper":"/paper/2509.14026"},"observation_digest":"sha256:eaeeb5cfa4d30739622212b85c7d9a54acbd9334d01047df12cd55cba9507928","observation_id":"5e6fd589-5005-4378-87f1-419115398011","resolution":{"observed_at":"2026-08-04T16:32:36.401039Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T16:32:36.404522Z","title":null,"venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2509.14026","last_updated":"2026-07-06T11:24:08Z","snapshot_observed_at":"2026-08-14T03:39:08.506695Z","submitted_at":"2025-09-17T14:28:42Z","title":"Quantum Variational Activation Functions Empower Kolmogorov-Arnold Networks","version":2},"reference_index":45,"source":"arxiv_source","source_observed_at":"2026-08-04T16:32:36.404522Z"},"links":{"citing_paper":"/paper/2509.14026"},"observation_digest":"sha256:5d09fd717dff7abf1af5e00e9aec2ea0262c7d3283072565b29ade4c8f011952","observation_id":"99ac26e3-48c8-4492-813c-ba875de833c3","resolution":{"observed_at":"2026-08-04T16:32:36.404522Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T16:32:36.407572Z","title":"Quantum machine learning: Benefits and practical examples","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2509.14026","last_updated":"2026-07-06T11:24:08Z","snapshot_observed_at":"2026-08-14T03:39:08.506695Z","submitted_at":"2025-09-17T14:28:42Z","title":"Quantum Variational Activation Functions Empower Kolmogorov-Arnold Networks","version":2},"reference_index":46,"source":"arxiv_source","source_observed_at":"2026-08-04T16:32:36.407572Z"},"links":{"citing_paper":"/paper/2509.14026"},"observation_digest":"sha256:501b4d480db66ec0e855e0219e98a49064fd56e90d6cd3f3e083d94330ebe9d2","observation_id":"03ecadcc-49c1-49a8-b5bc-dec1c9ee724e","resolution":{"observed_at":"2026-08-04T16:32:36.407572Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T16:32:36.410642Z","title":"Theoretical issues in deep networks","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2509.14026","last_updated":"2026-07-06T11:24:08Z","snapshot_observed_at":"2026-08-14T03:39:08.506695Z","submitted_at":"2025-09-17T14:28:42Z","title":"Quantum Variational Activation Functions Empower Kolmogorov-Arnold Networks","version":2},"reference_index":47,"source":"arxiv_source","source_observed_at":"2026-08-04T16:32:36.410642Z"},"links":{"citing_paper":"/paper/2509.14026"},"observation_digest":"sha256:c287c42f058070993cbda30ffc815e10809559c4c8aff60eb2580e9a080d694a","observation_id":"0505311e-3047-4e71-8d71-fde4a9c111cb","resolution":{"observed_at":"2026-08-04T16:32:36.410642Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T16:32:36.414373Z","title":"Quantum C omputing in the NISQ era and beyond","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2509.14026","last_updated":"2026-07-06T11:24:08Z","snapshot_observed_at":"2026-08-14T03:39:08.506695Z","submitted_at":"2025-09-17T14:28:42Z","title":"Quantum Variational Activation Functions Empower Kolmogorov-Arnold Networks","version":2},"reference_index":48,"source":"arxiv_source","source_observed_at":"2026-08-04T16:32:36.414373Z"},"links":{"citing_paper":"/paper/2509.14026"},"observation_digest":"sha256:b0844e2182e6d12338ebb8748d02dcaf4339055e310034e8f276081ad19fa031","observation_id":"453fcdfa-b28b-4c0d-9c1f-9c0383ebd0c9","resolution":{"observed_at":"2026-08-04T16:32:36.414373Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T16:32:36.417527Z","title":null,"venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2509.14026","last_updated":"2026-07-06T11:24:08Z","snapshot_observed_at":"2026-08-14T03:39:08.506695Z","submitted_at":"2025-09-17T14:28:42Z","title":"Quantum Variational Activation Functions Empower Kolmogorov-Arnold Networks","version":2},"reference_index":49,"source":"arxiv_source","source_observed_at":"2026-08-04T16:32:36.417527Z"},"links":{"citing_paper":"/paper/2509.14026"},"observation_digest":"sha256:3e6d8a234a3eb2cef7eabae636f6ddad3e4d87e254f5e9705790d8211be629cd","observation_id":"a9f242ac-f7eb-4d28-aba1-315c2762cca3","resolution":{"observed_at":"2026-08-04T16:32:36.417527Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T16:32:36.420907Z","title":"gpt-2-output-dataset","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2509.14026","last_updated":"2026-07-06T11:24:08Z","snapshot_observed_at":"2026-08-14T03:39:08.506695Z","submitted_at":"2025-09-17T14:28:42Z","title":"Quantum Variational Activation Functions Empower Kolmogorov-Arnold Networks","version":2},"reference_index":50,"source":"arxiv_source","source_observed_at":"2026-08-04T16:32:36.420907Z"},"links":{"citing_paper":"/paper/2509.14026"},"observation_digest":"sha256:dc4182468e4a2231ee7c35cee36abdabcdccb6c9a055a72f9b3fb1850761926d","observation_id":"e3d9fa75-33cf-4ed7-93a3-93b0b3d66f85","resolution":{"observed_at":"2026-08-04T16:32:36.420907Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1710.05941","last_updated":"2017-10-27T17:45:21Z","snapshot_observed_at":"2026-08-08T18:23:31.977872Z","submitted_at":"2017-10-16T18:05:45Z","title":"Searching for Activation Functions","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1710.05941","snapshot_observed_at":"2026-08-04T16:32:36.423600Z","title":null,"venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2509.14026","last_updated":"2026-07-06T11:24:08Z","snapshot_observed_at":"2026-08-14T03:39:08.506695Z","submitted_at":"2025-09-17T14:28:42Z","title":"Quantum Variational Activation Functions Empower Kolmogorov-Arnold Networks","version":2},"reference_index":51,"source":"arxiv_source","source_observed_at":"2026-08-04T16:32:36.423600Z"},"links":{"cited_paper":"/paper/1710.05941","citing_paper":"/paper/2509.14026"},"observation_digest":"sha256:f8042758529ee942ea7a72bea43a7ad581dc2764e19559e48e11fe2827fa5ce6","observation_id":"79aac681-3ec7-4ec1-886c-380f5dcefff5","resolution":{"observed_at":"2026-08-04T16:32:36.423600Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1103/prxquantum.5.040342","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Rower et al","venue":"PRX Quantum","work_id":"4767ce1b-08e7-4e38-b44b-2db2e944577b","year":2024},"citing_paper":{"arxiv_id":"2509.14026","last_updated":"2026-07-06T11:24:08Z","snapshot_observed_at":"2026-08-14T03:39:08.506695Z","submitted_at":"2025-09-17T14:28:42Z","title":"Quantum Variational Activation Functions Empower Kolmogorov-Arnold Networks","version":2},"reference_index":52,"source":"arxiv_source","source_observed_at":"2026-08-04T16:32:36.426843Z"},"links":{"citing_paper":"/paper/2509.14026"},"observation_digest":"sha256:99546bf6d1194f52f9ed70c67d13ab2b41c6756c487b9417dfa1cf8245141d6f","observation_id":"7d51032a-bdf2-4162-b893-f56ba846820a","resolution":{"observed_at":"2026-08-04T16:33:37.070807Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/j.neunet.2018.11.002","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Kafnets: Kernel-based non-parametric activation functions for neural networks","venue":"Neural Networks","work_id":"4f0d6456-8d16-4a83-a4a5-ddf575a04c3e","year":2019},"citing_paper":{"arxiv_id":"2509.14026","last_updated":"2026-07-06T11:24:08Z","snapshot_observed_at":"2026-08-14T03:39:08.506695Z","submitted_at":"2025-09-17T14:28:42Z","title":"Quantum Variational Activation Functions Empower Kolmogorov-Arnold Networks","version":2},"reference_index":53,"source":"arxiv_source","source_observed_at":"2026-08-04T16:32:36.429925Z"},"links":{"citing_paper":"/paper/2509.14026"},"observation_digest":"sha256:ca4f72988034640f534df2681e0ed1f7a69b12610e371e886edf4806dc98b956","observation_id":"4e5c9e1f-fdca-4550-8d1e-613e97a7cac8","resolution":{"observed_at":"2026-08-04T16:33:36.906953Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T16:32:36.432890Z","title":"Quantum machine learning in feature hilbert spaces","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2509.14026","last_updated":"2026-07-06T11:24:08Z","snapshot_observed_at":"2026-08-14T03:39:08.506695Z","submitted_at":"2025-09-17T14:28:42Z","title":"Quantum Variational Activation Functions Empower Kolmogorov-Arnold Networks","version":2},"reference_index":54,"source":"arxiv_source","source_observed_at":"2026-08-04T16:32:36.432890Z"},"links":{"citing_paper":"/paper/2509.14026"},"observation_digest":"sha256:ec2811d84e6184cee4c2ba9b35a57fcd94861a1a4273e3f8ed0ef0aea20cfb9e","observation_id":"7af52c97-0e4f-423f-ab46-bb4d314546b8","resolution":{"observed_at":"2026-08-04T16:32:36.432890Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T16:32:36.435693Z","title":"Effect of data encoding on the expressive power of variational quantum-machine-learning models","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2509.14026","last_updated":"2026-07-06T11:24:08Z","snapshot_observed_at":"2026-08-14T03:39:08.506695Z","submitted_at":"2025-09-17T14:28:42Z","title":"Quantum Variational Activation Functions Empower Kolmogorov-Arnold Networks","version":2},"reference_index":55,"source":"arxiv_source","source_observed_at":"2026-08-04T16:32:36.435693Z"},"links":{"citing_paper":"/paper/2509.14026"},"observation_digest":"sha256:d24a7ff1647821de8f6539197b2e4405e29c6c0761321452e787983b61ba949c","observation_id":"c6f4721d-abe2-452c-a15a-091d6227064a","resolution":{"observed_at":"2026-08-04T16:32:36.435693Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2406.02583","last_updated":"2024-10-14T01:58:57Z","snapshot_observed_at":"2026-08-12T23:53:45.249350Z","submitted_at":"2024-05-30T20:40:16Z","title":"Exploring the Potential of Polynomial Basis Functions in Kolmogorov-Arnold Networks: A Comparative Study of Different Groups of Polynomials","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2406.02583","snapshot_observed_at":"2026-08-04T16:32:36.438979Z","title":"Exploring the potential of polynomial basis functions in kolmogorov-arnold networks: A comparative study of different groups of polynomials, 2024 a","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2509.14026","last_updated":"2026-07-06T11:24:08Z","snapshot_observed_at":"2026-08-14T03:39:08.506695Z","submitted_at":"2025-09-17T14:28:42Z","title":"Quantum Variational Activation Functions Empower Kolmogorov-Arnold Networks","version":2},"reference_index":56,"source":"arxiv_source","source_observed_at":"2026-08-04T16:32:36.438979Z"},"links":{"cited_paper":"/paper/2406.02583","citing_paper":"/paper/2509.14026"},"observation_digest":"sha256:465289458188fa50d79f452ac839f4876afae26ce0dd3da573a148378d682923","observation_id":"30eedc3c-0e62-4103-844e-391caa75fd1e","resolution":{"observed_at":"2026-08-04T16:32:36.438979Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2406.07869","last_updated":"2024-10-08T14:42:40Z","snapshot_observed_at":"2026-08-12T23:44:57.716050Z","submitted_at":"2024-06-12T04:52:40Z","title":"Unveiling the Power of Wavelets: A Wavelet-based Kolmogorov-Arnold Network for Hyperspectral Image Classification","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2406.07869","snapshot_observed_at":"2026-08-04T16:32:36.441901Z","title":"Unveiling the power of wavelets: A wavelet-based kolmogorov-arnold network for hyperspectral image classification, 2024 b","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2509.14026","last_updated":"2026-07-06T11:24:08Z","snapshot_observed_at":"2026-08-14T03:39:08.506695Z","submitted_at":"2025-09-17T14:28:42Z","title":"Quantum Variational Activation Functions Empower Kolmogorov-Arnold Networks","version":2},"reference_index":57,"source":"arxiv_source","source_observed_at":"2026-08-04T16:32:36.441901Z"},"links":{"cited_paper":"/paper/2406.07869","citing_paper":"/paper/2509.14026"},"observation_digest":"sha256:46a470c0fd5ce8aa5b012e08536c2f853e0a22cb799be8d18f854de8f9346e40","observation_id":"f6c522ea-5030-425f-8658-c8da2d1a1f55","resolution":{"observed_at":"2026-08-04T16:32:36.441901Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2412.01505","last_updated":"2024-12-02T13:58:35Z","snapshot_observed_at":"2026-08-13T08:37:37.793461Z","submitted_at":"2024-12-02T13:58:35Z","title":"Scaling Law for Language Models Training Considering Batch Size","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2412.01505","snapshot_observed_at":"2026-08-04T16:32:36.445245Z","title":"Scaling law for language models training considering batch size, 2024","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2509.14026","last_updated":"2026-07-06T11:24:08Z","snapshot_observed_at":"2026-08-14T03:39:08.506695Z","submitted_at":"2025-09-17T14:28:42Z","title":"Quantum Variational Activation Functions Empower Kolmogorov-Arnold Networks","version":2},"reference_index":58,"source":"arxiv_source","source_observed_at":"2026-08-04T16:32:36.445245Z"},"links":{"cited_paper":"/paper/2412.01505","citing_paper":"/paper/2509.14026"},"observation_digest":"sha256:8649112905356c43786776616850906e3ce8075bdde8804f5abfe03860282567","observation_id":"869ddff4-527a-4e3a-9008-c386733890e3","resolution":{"observed_at":"2026-08-04T16:32:36.445245Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T16:32:36.448138Z","title":"Experimental demonstration of a high-fidelity virtual two-qubit gate","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2509.14026","last_updated":"2026-07-06T11:24:08Z","snapshot_observed_at":"2026-08-14T03:39:08.506695Z","submitted_at":"2025-09-17T14:28:42Z","title":"Quantum Variational Activation Functions Empower Kolmogorov-Arnold Networks","version":2},"reference_index":59,"source":"arxiv_source","source_observed_at":"2026-08-04T16:32:36.448138Z"},"links":{"citing_paper":"/paper/2509.14026"},"observation_digest":"sha256:73682bbec00c07a0cdf94c125ea5c8a4e2b9c12305de44f7e6ee0cc3a6ce2e2c","observation_id":"ef5159c0-4b52-4fe4-9494-7dce6c45d2e4","resolution":{"observed_at":"2026-08-04T16:32:36.448138Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T16:32:36.450765Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2509.14026","last_updated":"2026-07-06T11:24:08Z","snapshot_observed_at":"2026-08-14T03:39:08.506695Z","submitted_at":"2025-09-17T14:28:42Z","title":"Quantum Variational Activation Functions Empower Kolmogorov-Arnold Networks","version":2},"reference_index":60,"source":"arxiv_source","source_observed_at":"2026-08-04T16:32:36.450765Z"},"links":{"citing_paper":"/paper/2509.14026"},"observation_digest":"sha256:99fcb9e3a6a32f9bdbdd915071fc6cb1fd79112403f9ca4714dfd572f408aac3","observation_id":"59c3d5de-c7d3-4871-b07f-25a65fe7daf3","resolution":{"observed_at":"2026-08-04T16:32:36.450765Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2405.07200","last_updated":"2024-06-14T15:46:11Z","snapshot_observed_at":"2026-08-13T00:09:31.675959Z","submitted_at":"2024-05-12T07:55:43Z","title":"Chebyshev Polynomial-Based Kolmogorov-Arnold Networks: An Efficient Architecture for Nonlinear Function Approximation","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2405.07200","snapshot_observed_at":"2026-08-04T16:32:36.453517Z","title":"Chebyshev polynomial-based kolmogorov-arnold networks: An efficient architecture for nonlinear function approximation, 2024","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2509.14026","last_updated":"2026-07-06T11:24:08Z","snapshot_observed_at":"2026-08-14T03:39:08.506695Z","submitted_at":"2025-09-17T14:28:42Z","title":"Quantum Variational Activation Functions Empower Kolmogorov-Arnold Networks","version":2},"reference_index":61,"source":"arxiv_source","source_observed_at":"2026-08-04T16:32:36.453517Z"},"links":{"cited_paper":"/paper/2405.07200","citing_paper":"/paper/2509.14026"},"observation_digest":"sha256:7efb7a533dc15cc7ae85ca7b3269de7c6cc72b4f3f17911b2edd17ea2deb26f4","observation_id":"f56a36b6-13a4-407e-81b1-d1fd77181e7a","resolution":{"observed_at":"2026-08-04T16:32:36.453517Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2406.11173","last_updated":"2024-10-30T11:59:28Z","snapshot_observed_at":"2026-08-14T06:51:36.404340Z","submitted_at":"2024-06-17T03:26:02Z","title":"BSRBF-KAN: A combination of B-splines and Radial Basis Functions in Kolmogorov-Arnold Networks","version":5},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2406.11173","snapshot_observed_at":"2026-08-04T16:32:36.456237Z","title":"Bsrbf-kan: A combination of b-splines and radial basis functions in kolmogorov-arnold networks, 2024","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2509.14026","last_updated":"2026-07-06T11:24:08Z","snapshot_observed_at":"2026-08-14T03:39:08.506695Z","submitted_at":"2025-09-17T14:28:42Z","title":"Quantum Variational Activation Functions Empower Kolmogorov-Arnold Networks","version":2},"reference_index":62,"source":"arxiv_source","source_observed_at":"2026-08-04T16:32:36.456237Z"},"links":{"cited_paper":"/paper/2406.11173","citing_paper":"/paper/2509.14026"},"observation_digest":"sha256:cfa1dfa1eb73006f4992854d4062caebad1dd2cc1cd8ee6666cf4d82705f6cbc","observation_id":"b4662adf-c3da-45c7-8762-eb5fc8917a55","resolution":{"observed_at":"2026-08-04T16:32:36.456237Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T16:32:36.459070Z","title":"AI Feynman: a Physics-Inspired Method for Symbolic Regression","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2509.14026","last_updated":"2026-07-06T11:24:08Z","snapshot_observed_at":"2026-08-14T03:39:08.506695Z","submitted_at":"2025-09-17T14:28:42Z","title":"Quantum Variational Activation Functions Empower Kolmogorov-Arnold Networks","version":2},"reference_index":63,"source":"arxiv_source","source_observed_at":"2026-08-04T16:32:36.459070Z"},"links":{"citing_paper":"/paper/2509.14026"},"observation_digest":"sha256:8ded3ddccd067e18d869880602577c0b773de573c69fe3dc69bebf3014bac11c","observation_id":"bdc21715-c527-4da8-94bc-fa9848186e44","resolution":{"observed_at":"2026-08-04T16:32:36.459070Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T16:32:36.461790Z","title":"Ai feynman 2.0: pareto-optimal symbolic regression exploiting graph modularity","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2509.14026","last_updated":"2026-07-06T11:24:08Z","snapshot_observed_at":"2026-08-14T03:39:08.506695Z","submitted_at":"2025-09-17T14:28:42Z","title":"Quantum Variational Activation Functions Empower Kolmogorov-Arnold Networks","version":2},"reference_index":64,"source":"arxiv_source","source_observed_at":"2026-08-04T16:32:36.461790Z"},"links":{"citing_paper":"/paper/2509.14026"},"observation_digest":"sha256:826e96450bd36bf02b0501ea620fb02ff65de1cdcf0f846807d5dbe46f7142b5","observation_id":"9d9be12d-b8ea-442d-80d5-2c890879bfa2","resolution":{"observed_at":"2026-08-04T16:32:36.461790Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T16:32:36.464518Z","title":"Vaca-Rubio, Luis Blanco, Roberto Pereira, and Màrius Caus","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2509.14026","last_updated":"2026-07-06T11:24:08Z","snapshot_observed_at":"2026-08-14T03:39:08.506695Z","submitted_at":"2025-09-17T14:28:42Z","title":"Quantum Variational Activation Functions Empower Kolmogorov-Arnold Networks","version":2},"reference_index":65,"source":"arxiv_source","source_observed_at":"2026-08-04T16:32:36.464518Z"},"links":{"citing_paper":"/paper/2509.14026"},"observation_digest":"sha256:bef71f669dbbc2065d4db9403c06ba5fbedb727bf6e7b2fc98d9171d85785fcf","observation_id":"49d70937-80a3-416c-956f-fb907347c03f","resolution":{"observed_at":"2026-08-04T16:32:36.464518Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T16:32:36.467941Z","title":"Wach, Manuel S","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2509.14026","last_updated":"2026-07-06T11:24:08Z","snapshot_observed_at":"2026-08-14T03:39:08.506695Z","submitted_at":"2025-09-17T14:28:42Z","title":"Quantum Variational Activation Functions Empower Kolmogorov-Arnold Networks","version":2},"reference_index":66,"source":"arxiv_source","source_observed_at":"2026-08-04T16:32:36.467941Z"},"links":{"citing_paper":"/paper/2509.14026"},"observation_digest":"sha256:2f36652f7da41d6b6b82f22ac3f352eae587df4e0efe3b927da35cba4b3ddb6e","observation_id":"30436024-268d-438b-90d5-4c6174a12c60","resolution":{"observed_at":"2026-08-04T16:32:36.467941Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2503.21336","last_updated":"2025-06-04T11:45:42Z","snapshot_observed_at":"2026-08-09T07:36:03.638758Z","submitted_at":"2025-03-27T10:13:41Z","title":"Adaptive Variational Quantum Kolmogorov-Arnold Network","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2503.21336","snapshot_observed_at":"2026-08-04T16:32:36.471165Z","title":"Suksmono","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2509.14026","last_updated":"2026-07-06T11:24:08Z","snapshot_observed_at":"2026-08-14T03:39:08.506695Z","submitted_at":"2025-09-17T14:28:42Z","title":"Quantum Variational Activation Functions Empower Kolmogorov-Arnold Networks","version":2},"reference_index":67,"source":"arxiv_source","source_observed_at":"2026-08-04T16:32:36.471165Z"},"links":{"cited_paper":"/paper/2503.21336","citing_paper":"/paper/2509.14026"},"observation_digest":"sha256:c91d3f2bd898e969c62ea9c4fb3b47ac0bd9436b4ab1b9e89cb8e7350452854e","observation_id":"cf8e27e3-9f62-44f9-a3c5-2bb4a8a6d500","resolution":{"observed_at":"2026-08-04T16:32:36.471165Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2503.22604","last_updated":"2026-07-29T08:17:30Z","snapshot_observed_at":"2026-08-07T16:29:44.949873Z","submitted_at":"2025-03-28T16:47:42Z","title":"Enhanced Variational Quantum Kolmogorov-Arnold Network","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2503.22604","snapshot_observed_at":"2026-08-04T16:32:36.474507Z","title":"Suksmono","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2509.14026","last_updated":"2026-07-06T11:24:08Z","snapshot_observed_at":"2026-08-14T03:39:08.506695Z","submitted_at":"2025-09-17T14:28:42Z","title":"Quantum Variational Activation Functions Empower Kolmogorov-Arnold Networks","version":2},"reference_index":68,"source":"arxiv_source","source_observed_at":"2026-08-04T16:32:36.474507Z"},"links":{"cited_paper":"/paper/2503.22604","citing_paper":"/paper/2509.14026"},"observation_digest":"sha256:e0fed4fa645b845a18d9a33302b10bcdd76030f3dc243db42468f596a26981d9","observation_id":"43ef8577-dacc-40aa-8bfb-6142818a5ec3","resolution":{"observed_at":"2026-08-04T16:32:36.474507Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2506.22340","last_updated":"2025-06-27T15:51:19Z","snapshot_observed_at":"2026-08-09T20:06:12.633917Z","submitted_at":"2025-06-27T15:51:19Z","title":"QuKAN: A Quantum Circuit Born Machine approach to Quantum Kolmogorov Arnold Networks","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2506.22340","snapshot_observed_at":"2026-08-04T16:32:36.477558Z","title":"Qukan: A quantum circuit born machine approach to quantum kolmogorov arnold networks, 2025","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2509.14026","last_updated":"2026-07-06T11:24:08Z","snapshot_observed_at":"2026-08-14T03:39:08.506695Z","submitted_at":"2025-09-17T14:28:42Z","title":"Quantum Variational Activation Functions Empower Kolmogorov-Arnold Networks","version":2},"reference_index":69,"source":"arxiv_source","source_observed_at":"2026-08-04T16:32:36.477558Z"},"links":{"cited_paper":"/paper/2506.22340","citing_paper":"/paper/2509.14026"},"observation_digest":"sha256:5e1d53312e13c4730f4002d9a2472c288dc3fe1a7c831f264a95325c5681c6e5","observation_id":"deff53d0-b327-47bd-99b6-dfbee144e216","resolution":{"observed_at":"2026-08-04T16:32:36.477558Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2410.20690","last_updated":"2024-10-28T02:48:58Z","snapshot_observed_at":"2026-08-14T03:17:00.343700Z","submitted_at":"2024-10-28T02:48:58Z","title":"KANsformer for Scalable Beamforming","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2410.20690","snapshot_observed_at":"2026-08-04T16:32:36.480536Z","title":"Kansformer for scalable beamforming, 2024","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2509.14026","last_updated":"2026-07-06T11:24:08Z","snapshot_observed_at":"2026-08-14T03:39:08.506695Z","submitted_at":"2025-09-17T14:28:42Z","title":"Quantum Variational Activation Functions Empower Kolmogorov-Arnold Networks","version":2},"reference_index":70,"source":"arxiv_source","source_observed_at":"2026-08-04T16:32:36.480536Z"},"links":{"cited_paper":"/paper/2410.20690","citing_paper":"/paper/2509.14026"},"observation_digest":"sha256:d19d0b3b9fa181f022095857aae87fdcae6526098ffdbaa0487b11603deefcec","observation_id":"5cc9266e-258d-4409-b955-efd44a69f33f","resolution":{"observed_at":"2026-08-04T16:32:36.480536Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T16:32:36.483530Z","title":"Kolmogorov-arnold transformer","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2509.14026","last_updated":"2026-07-06T11:24:08Z","snapshot_observed_at":"2026-08-14T03:39:08.506695Z","submitted_at":"2025-09-17T14:28:42Z","title":"Quantum Variational Activation Functions Empower Kolmogorov-Arnold Networks","version":2},"reference_index":71,"source":"arxiv_source","source_observed_at":"2026-08-04T16:32:36.483530Z"},"links":{"citing_paper":"/paper/2509.14026"},"observation_digest":"sha256:5ea86a6d3e88bd696412bf95a65cbf2218862116035658b7c4bda43440efb336","observation_id":"04b032d5-e545-4525-a666-5b98901d7644","resolution":{"observed_at":"2026-08-04T16:32:36.483530Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2406.01034","last_updated":"2025-08-14T10:41:49Z","snapshot_observed_at":"2026-08-12T23:51:53.402066Z","submitted_at":"2024-06-03T06:36:04Z","title":"Enhancing Graph Collaborative Filtering with FourierKAN Feature Transformation","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2406.01034","snapshot_observed_at":"2026-08-04T16:32:36.486726Z","title":"Fourierkan-gcf: Fourier kolmogorov-arnold network -- an effective and efficient feature transformation for graph collaborative filtering, 2024 a","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2509.14026","last_updated":"2026-07-06T11:24:08Z","snapshot_observed_at":"2026-08-14T03:39:08.506695Z","submitted_at":"2025-09-17T14:28:42Z","title":"Quantum Variational Activation Functions Empower Kolmogorov-Arnold Networks","version":2},"reference_index":72,"source":"arxiv_source","source_observed_at":"2026-08-04T16:32:36.486726Z"},"links":{"cited_paper":"/paper/2406.01034","citing_paper":"/paper/2509.14026"},"observation_digest":"sha256:4f14966d3c91f12f8b1ca90b19fe424217643f252adafc97869d6245f43b330e","observation_id":"f1c50d73-13d4-4abe-b968-05dccdecc632","resolution":{"observed_at":"2026-08-04T16:32:36.486726Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2406.02496","last_updated":"2024-06-04T17:14:31Z","snapshot_observed_at":"2026-08-12T23:50:18.534344Z","submitted_at":"2024-06-04T17:14:31Z","title":"Kolmogorov-Arnold Networks for Time Series: Bridging Predictive Power and Interpretability","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2406.02496","snapshot_observed_at":"2026-08-04T16:32:36.489810Z","title":"Kolmogorov-arnold networks for time series: Bridging predictive power and interpretability, 2024 b","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2509.14026","last_updated":"2026-07-06T11:24:08Z","snapshot_observed_at":"2026-08-14T03:39:08.506695Z","submitted_at":"2025-09-17T14:28:42Z","title":"Quantum Variational Activation Functions Empower Kolmogorov-Arnold Networks","version":2},"reference_index":73,"source":"arxiv_source","source_observed_at":"2026-08-04T16:32:36.489810Z"},"links":{"cited_paper":"/paper/2406.02496","citing_paper":"/paper/2509.14026"},"observation_digest":"sha256:b336ca0fd9ab48a1d150adade1a1fc7af0cabcd04d6299a29dad85ce0dc4d502","observation_id":"86b397f8-b4db-4bf9-8570-4b0ee471d80f","resolution":{"observed_at":"2026-08-04T16:32:36.489810Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2407.16674","last_updated":"2024-08-17T15:20:31Z","snapshot_observed_at":"2026-08-14T02:29:49.999137Z","submitted_at":"2024-07-23T17:43:35Z","title":"KAN or MLP: A Fairer Comparison","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2407.16674","snapshot_observed_at":"2026-08-04T16:32:36.493282Z","title":"Kan or mlp: A fairer comparison, 2024 a","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2509.14026","last_updated":"2026-07-06T11:24:08Z","snapshot_observed_at":"2026-08-14T03:39:08.506695Z","submitted_at":"2025-09-17T14:28:42Z","title":"Quantum Variational Activation Functions Empower Kolmogorov-Arnold Networks","version":2},"reference_index":74,"source":"arxiv_source","source_observed_at":"2026-08-04T16:32:36.493282Z"},"links":{"cited_paper":"/paper/2407.16674","citing_paper":"/paper/2509.14026"},"observation_digest":"sha256:80fbbb56476e9d34301dd2e75de1e1003a0b7cc67f9ae4b2a34350e403e7e1ea","observation_id":"12e94d5f-7d95-4f88-9ef9-62c27397bdb7","resolution":{"observed_at":"2026-08-04T16:32:36.493282Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2205.07848","last_updated":"2022-09-29T16:25:56Z","snapshot_observed_at":"2026-08-13T15:43:10.694452Z","submitted_at":"2022-05-16T17:58:27Z","title":"Power and limitations of single-qubit native quantum neural networks","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2205.07848","snapshot_observed_at":"2026-08-04T16:32:36.496498Z","title":"Power and limitations of single-qubit native quantum neural networks, 2022","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2509.14026","last_updated":"2026-07-06T11:24:08Z","snapshot_observed_at":"2026-08-14T03:39:08.506695Z","submitted_at":"2025-09-17T14:28:42Z","title":"Quantum Variational Activation Functions Empower Kolmogorov-Arnold Networks","version":2},"reference_index":75,"source":"arxiv_source","source_observed_at":"2026-08-04T16:32:36.496498Z"},"links":{"cited_paper":"/paper/2205.07848","citing_paper":"/paper/2509.14026"},"observation_digest":"sha256:580f39d924247b318e0caf272f4adae7889eac55c00987e3e899f5957c5c6580","observation_id":"e83315db-7035-4c00-a588-5244e2ff3459","resolution":{"observed_at":"2026-08-04T16:32:36.496498Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2310.07528","last_updated":"2024-10-08T16:18:26Z","snapshot_observed_at":"2026-08-13T05:52:07.772940Z","submitted_at":"2023-10-11T14:29:11Z","title":"Non-asymptotic Approximation Error Bounds of Parameterized Quantum Circuits","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2310.07528","snapshot_observed_at":"2026-08-04T16:32:36.499313Z","title":"Non-asymptotic approximation error bounds of parameterized quantum circuits, 2024 b","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2509.14026","last_updated":"2026-07-06T11:24:08Z","snapshot_observed_at":"2026-08-14T03:39:08.506695Z","submitted_at":"2025-09-17T14:28:42Z","title":"Quantum Variational Activation Functions Empower Kolmogorov-Arnold Networks","version":2},"reference_index":76,"source":"arxiv_source","source_observed_at":"2026-08-04T16:32:36.499313Z"},"links":{"cited_paper":"/paper/2310.07528","citing_paper":"/paper/2509.14026"},"observation_digest":"sha256:7a291de8550faffae07717daa5b4fc1e86a066846c383a9fc738c218cb3c7369","observation_id":"62d0e84a-e391-4fc6-adf6-6c8976925703","resolution":{"observed_at":"2026-08-04T16:32:36.499313Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2406.03873","last_updated":"2024-09-01T09:56:44Z","snapshot_observed_at":"2026-08-12T23:48:59.415128Z","submitted_at":"2024-06-06T09:04:48Z","title":"Quantum Implicit Neural Representations","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2406.03873","snapshot_observed_at":"2026-08-04T16:32:36.502286Z","title":"Quantum implicit neural representations","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2509.14026","last_updated":"2026-07-06T11:24:08Z","snapshot_observed_at":"2026-08-14T03:39:08.506695Z","submitted_at":"2025-09-17T14:28:42Z","title":"Quantum Variational Activation Functions Empower Kolmogorov-Arnold Networks","version":2},"reference_index":77,"source":"arxiv_source","source_observed_at":"2026-08-04T16:32:36.502286Z"},"links":{"cited_paper":"/paper/2406.03873","citing_paper":"/paper/2509.14026"},"observation_digest":"sha256:371a57782841681fd818e7d01bc7880cbdee28fd3349f9f7e19e06d91dbef006","observation_id":"8e9d1bab-a81b-4f1f-8e30-b4c30f95293f","resolution":{"observed_at":"2026-08-04T16:32:36.502286Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2509.14026","last_updated":"2026-07-06T11:24:08Z","latest_version":2,"primary_category":"quant-ph","snapshot_observed_at":"2026-08-14T03:39:08.506695Z","submitted_at":"2025-09-17T14:28:42Z","title":"Quantum Variational Activation Functions Empower Kolmogorov-Arnold Networks"},"reference_resolution":{"displayed":77,"state_counts":{"malformed_identifier":1,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":72,"verified_exact":4,"verified_fuzzy":0},"total_outbound_references":77},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"thesis":"As of 14 August 2026, this Paper Citation Record lists 77 of 77 outbound references and 9 inbound Pith citation observations for arXiv:2509.14026."}