{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:E5YMNHTYZOTRAF2NRDFIFYOY3C","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"062ff1e8e49fa418a384593cf58dbb48a7addb07f0ccd41cf25d596bcee09965","cross_cats_sorted":["stat.ML"],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"cs.LG","submitted_at":"2018-05-03T20:56:31Z","title_canon_sha256":"9a25d3576b2201ea3c44203c742311b44b2f12880781bd88c6451cafba5f07a0"},"schema_version":"1.0","source":{"id":"1805.01532","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.01532","created_at":"2026-05-18T00:12:43Z"},{"alias_kind":"arxiv_version","alias_value":"1805.01532v2","created_at":"2026-05-18T00:12:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.01532","created_at":"2026-05-18T00:12:43Z"},{"alias_kind":"pith_short_12","alias_value":"E5YMNHTYZOTR","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_16","alias_value":"E5YMNHTYZOTRAF2N","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_8","alias_value":"E5YMNHTY","created_at":"2026-05-18T12:32:19Z"}],"graph_snapshots":[{"event_id":"sha256:e8b5985c9a51776550c6e3a93183da1c1e830924687226121ae9a673b444601d","target":"graph","created_at":"2026-05-18T00:12:43Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We describe a novel family of models of multi- layer feedforward neural networks in which the activation functions are encoded via penalties in the training problem. Our approach is based on representing a non-decreasing activation function as the argmin of an appropriate convex optimiza- tion problem. The new framework allows for algo- rithms such as block-coordinate descent methods to be applied, in which each step is composed of a simple (no hidden layer) supervised learning problem that is parallelizable across data points and/or layers. Experiments indicate that the pro- posed models prov","authors_text":"Armin Askari, Geoffrey Negiar, Laurent El Ghaoui, Rajiv Sambharya","cross_cats":["stat.ML"],"headline":"","license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"cs.LG","submitted_at":"2018-05-03T20:56:31Z","title":"Lifted Neural Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.01532","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:a8cdc4cabd86e2713747391c8f19c35faa4bb7c289a3719ff35c91f335710e02","target":"record","created_at":"2026-05-18T00:12:43Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"062ff1e8e49fa418a384593cf58dbb48a7addb07f0ccd41cf25d596bcee09965","cross_cats_sorted":["stat.ML"],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"cs.LG","submitted_at":"2018-05-03T20:56:31Z","title_canon_sha256":"9a25d3576b2201ea3c44203c742311b44b2f12880781bd88c6451cafba5f07a0"},"schema_version":"1.0","source":{"id":"1805.01532","kind":"arxiv","version":2}},"canonical_sha256":"2770c69e78cba710174d88ca82e1d8d8b42dd3528890865a5d55828f6729382f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2770c69e78cba710174d88ca82e1d8d8b42dd3528890865a5d55828f6729382f","first_computed_at":"2026-05-18T00:12:43.125866Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:12:43.125866Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oPCLU9EtWnnLRMsCsRecckofX0EhZ9WjblgmUU18yrx1qusjvBDRj04aba3VofikdpGJqHV0043u97VrFDWCCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:12:43.126381Z","signed_message":"canonical_sha256_bytes"},"source_id":"1805.01532","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a8cdc4cabd86e2713747391c8f19c35faa4bb7c289a3719ff35c91f335710e02","sha256:e8b5985c9a51776550c6e3a93183da1c1e830924687226121ae9a673b444601d"],"state_sha256":"6af7dddecf14f444b315d6fed611488aa1a8f90b61c2d3ce0114b053b5152f4a"}