Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-15T17:49:23.091792Z
Paper Citation Record · LEDGER
Operator-Based Machine Intelligence: A Hilbert Space Framework for Spectral Learning and Symbolic Reasoning
As of 19 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 0 inbound Pith citation observations for arXiv:2507.21189.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
24 of 24 outbound references displayed
- verified exact2
- verified fuzzy21
- unresolved1
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 5ccfe976-9d37-4238-8858-355eef41528e · outbound
This paper cites Mallat, A Wavelet Tour of Signal Processing , Academic Press, 1999.
Operator-Based Machine Intelligence: A Hilbert Space Framework for Spectral Learning and Symbolic Reasoning Mallat, A Wavelet Tour of Signal Processing , Academic Press, 1999
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T17:49:23.432260Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 336a973b-2298-4430-a7a8-802715c9febb · outbound
This paper cites Group Invariant Scattering,.
Operator-Based Machine Intelligence: A Hilbert Space Framework for Spectral Learning and Symbolic Reasoning Group Invariant Scattering,
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T17:49:23.420026Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation b7f2fc57-35a9-4a84-b1e8-ff496823e622 · outbound
This paper cites Invariant Scattering Convolution Networks,.
Operator-Based Machine Intelligence: A Hilbert Space Framework for Spectral Learning and Symbolic Reasoning Invariant Scattering Convolution Networks,
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T17:49:23.407476Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 371bb76c-b547-43cb-b2a7-4e777edac3fd · outbound
This paper cites Deep Scattering Spectrum,.
Operator-Based Machine Intelligence: A Hilbert Space Framework for Spectral Learning and Symbolic Reasoning Deep Scattering Spectrum,
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T17:49:23.395598Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 1e113db8-11a7-49e2-bc9d-f87535078437 · outbound
This paper cites Spectral Networks and Locally Connected Networks on Graphs,.
Operator-Based Machine Intelligence: A Hilbert Space Framework for Spectral Learning and Symbolic Reasoning Spectral Networks and Locally Connected Networks on Graphs,
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T17:49:23.383701Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 4eae4e00-59a1-4204-b2c4-d3053bfd15ce · outbound
This paper cites Deeper Insights into Graph Convolutional Networks for Semi- Supervised Learning,.
Operator-Based Machine Intelligence: A Hilbert Space Framework for Spectral Learning and Symbolic Reasoning Deeper Insights into Graph Convolutional Networks for Semi- Supervised Learning,
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T17:49:23.372071Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation d2ff4a0c-5497-4812-a9e0-a170634e7949 · outbound
This paper cites Fourier Neu- ral Operator for Parametric Partial Differential Equations,.
Operator-Based Machine Intelligence: A Hilbert Space Framework for Spectral Learning and Symbolic Reasoning Fourier Neu- ral Operator for Parametric Partial Differential Equations,
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T17:49:23.359610Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 50cd3471-71cb-499e-add2-ee8cf383c6e8 · outbound
This paper cites Misspelling Semantics In Thai.
Operator-Based Machine Intelligence: A Hilbert Space Framework for Spectral Learning and Symbolic Reasoning Misspelling Semantics In Thai
Reference 8
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T17:49:23.146849Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation bb6ee6ca-dd58-46ae-99a5-23b3e4818317 · outbound
This paper cites From Pixels and Words to Waves: A Unified Framework for Spectral Dictionary vLLMs.
Operator-Based Machine Intelligence: A Hilbert Space Framework for Spectral Learning and Symbolic Reasoning From Pixels and Words to Waves: A Unified Framework for Spectral Dictionary vLLMs
Reference 9
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T17:49:23.129504Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation fe0f8e38-5b5c-4c3e-8484-cb3af3dfdc99 · outbound
This paper cites A Data–Driven Approximation of the Koopman Operator: Extending Dynamic Mode Decomposition,.
Operator-Based Machine Intelligence: A Hilbert Space Framework for Spectral Learning and Symbolic Reasoning A Data–Driven Approximation of the Koopman Operator: Extending Dynamic Mode Decomposition,
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T17:49:23.345477Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 4256ff67-f090-46d4-9806-0de79625bdf0 · outbound
This paper cites an unresolved cited work.
Operator-Based Machine Intelligence: A Hilbert Space Framework for Spectral Learning and Symbolic Reasoning Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T17:49:23.326134Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation c87e6d1c-281d-4519-ab61-a599efea5d6a · outbound
This paper cites Deep Learning for Universal Linear Embeddings of Nonlinear Dynamics,.
Operator-Based Machine Intelligence: A Hilbert Space Framework for Spectral Learning and Symbolic Reasoning Deep Learning for Universal Linear Embeddings of Nonlinear Dynamics,
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T17:49:23.313880Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation f2fa4451-4491-4345-a8a6-b7aac1182614 · outbound
This paper cites Gradient-Based Learning Applied to Doc- ument Recognition,.
Operator-Based Machine Intelligence: A Hilbert Space Framework for Spectral Learning and Symbolic Reasoning Gradient-Based Learning Applied to Doc- ument Recognition,
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T17:49:23.300460Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation c060c442-812c-4ca6-b20e-a9e2a9cf8011 · outbound
This paper cites Attention Is All You Need,.
Operator-Based Machine Intelligence: A Hilbert Space Framework for Spectral Learning and Symbolic Reasoning Attention Is All You Need,
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T17:49:23.285690Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 25420227-9319-49c6-a56e-912e7c7dde4f · outbound
This paper cites Reconciling Modern Machine-Learning Practice and the Classical Bias–Variance Trade-Off,.
Operator-Based Machine Intelligence: A Hilbert Space Framework for Spectral Learning and Symbolic Reasoning Reconciling Modern Machine-Learning Practice and the Classical Bias–Variance Trade-Off,
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T17:49:23.271843Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation fab54bc3-96fa-4064-8619-64f5e946163c · outbound
This paper cites Stop Explaining Black Box Machine Learning Models for High Stakes Decisions and Use Interpretable Models Instead,.
Operator-Based Machine Intelligence: A Hilbert Space Framework for Spectral Learning and Symbolic Reasoning Stop Explaining Black Box Machine Learning Models for High Stakes Decisions and Use Interpretable Models Instead,
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T17:49:23.259233Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation d1268809-61b3-4bc1-9e7e-c69fbe4c91ed · outbound
This paper cites Beyond Bandlimited Sampling: Nonlinear and Nonideal Sam- pling,.
Operator-Based Machine Intelligence: A Hilbert Space Framework for Spectral Learning and Symbolic Reasoning Beyond Bandlimited Sampling: Nonlinear and Nonideal Sam- pling,
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T17:49:23.247070Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 4ad6c890-0bee-4ab5-8201-43f1a62b6dcc · outbound
This paper cites Sampling—50 Years After Shannon,.
Operator-Based Machine Intelligence: A Hilbert Space Framework for Spectral Learning and Symbolic Reasoning Sampling—50 Years After Shannon,
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T17:49:23.233934Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 53301854-9c7d-4dd8-a2a5-aea113c24815 · outbound
This paper cites Robust Uncertainty Principles: Exact Signal Recon- struction from Highly Incomplete Frequency Information,.
Operator-Based Machine Intelligence: A Hilbert Space Framework for Spectral Learning and Symbolic Reasoning Robust Uncertainty Principles: Exact Signal Recon- struction from Highly Incomplete Frequency Information,
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T17:49:23.219595Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation c5d88073-5fe2-45e3-a546-eee87a5a426c · outbound
This paper cites Compressed Sensing,.
Operator-Based Machine Intelligence: A Hilbert Space Framework for Spectral Learning and Symbolic Reasoning Compressed Sensing,
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T17:49:23.207612Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 3b033de8-4506-4157-836f-d501111682c1 · outbound
This paper cites Theory of Reproducing Kernels,.
Operator-Based Machine Intelligence: A Hilbert Space Framework for Spectral Learning and Symbolic Reasoning Theory of Reproducing Kernels,
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T17:49:23.195125Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 95564952-0e67-470c-9074-fa8a99a4593d · outbound
This paper cites Sch¨ olkopf and A.
Operator-Based Machine Intelligence: A Hilbert Space Framework for Spectral Learning and Symbolic Reasoning Sch¨ olkopf and A
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T17:49:23.182644Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 9cf80b7d-8288-4bec-bfab-f750eb0c1cf2 · outbound
This paper cites Diffusion Maps,.
Operator-Based Machine Intelligence: A Hilbert Space Framework for Spectral Learning and Symbolic Reasoning Diffusion Maps,
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T17:49:23.170824Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation c8589df5-1e41-40ed-8035-df36285b6d8e · outbound
This paper cites Discovering Governing Equations from Data by Sparse Identification of Nonlinear Dynamical Systems,.
Operator-Based Machine Intelligence: A Hilbert Space Framework for Spectral Learning and Symbolic Reasoning Discovering Governing Equations from Data by Sparse Identification of Nonlinear Dynamical Systems,
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T17:49:23.159080Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Pith citing papers
No inbound Pith citation observations are available.