{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:ITWVLRNUP5NGWSJUPGSYRQGCQV","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":"e6ea65481274cdc31de2bfd467c1b56e934e4bb65789204e150fca9b873ac0d4","cross_cats_sorted":["cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2018-05-18T10:55:21Z","title_canon_sha256":"470abf0e15efc831fdc3a022db5fc1a53439616434a6d8917602e85598b87a46"},"schema_version":"1.0","source":{"id":"1805.07137","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.07137","created_at":"2026-05-18T00:15:36Z"},{"alias_kind":"arxiv_version","alias_value":"1805.07137v2","created_at":"2026-05-18T00:15:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.07137","created_at":"2026-05-18T00:15:36Z"},{"alias_kind":"pith_short_12","alias_value":"ITWVLRNUP5NG","created_at":"2026-05-18T12:32:31Z"},{"alias_kind":"pith_short_16","alias_value":"ITWVLRNUP5NGWSJU","created_at":"2026-05-18T12:32:31Z"},{"alias_kind":"pith_short_8","alias_value":"ITWVLRNU","created_at":"2026-05-18T12:32:31Z"}],"graph_snapshots":[{"event_id":"sha256:6468de6b812fac671f5be28202a5f5f91ca7c47a85a88378ffdd567fc777bdc0","target":"graph","created_at":"2026-05-18T00:15:36Z","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":"Interpretability has become an important issue in the machine learning field, along with the success of layered neural networks in various practical tasks. Since a trained layered neural network consists of a complex nonlinear relationship between large number of parameters, we failed to understand how they could achieve input-output mappings with a given data set. In this paper, we propose the non-negative task decomposition method, which applies non-negative matrix factorization to a trained layered neural network. This enables us to decompose the inference mechanism of a trained layered neu","authors_text":"Chihiro Watanabe, Kaoru Hiramatsu, Kunio Kashino","cross_cats":["cs.LG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2018-05-18T10:55:21Z","title":"Knowledge Discovery from Layered Neural Networks based on Non-negative Task Decomposition"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.07137","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:a5b4b3323b26e559f40956215d503add6123d16038c0be128a879e675f52859d","target":"record","created_at":"2026-05-18T00:15:36Z","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":"e6ea65481274cdc31de2bfd467c1b56e934e4bb65789204e150fca9b873ac0d4","cross_cats_sorted":["cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2018-05-18T10:55:21Z","title_canon_sha256":"470abf0e15efc831fdc3a022db5fc1a53439616434a6d8917602e85598b87a46"},"schema_version":"1.0","source":{"id":"1805.07137","kind":"arxiv","version":2}},"canonical_sha256":"44ed55c5b47f5a6b493479a588c0c28553c0099b162fbfc169a188236c7ae604","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"44ed55c5b47f5a6b493479a588c0c28553c0099b162fbfc169a188236c7ae604","first_computed_at":"2026-05-18T00:15:36.026990Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:15:36.026990Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XR2TmgIkZL35m7hTophbTo2TaIgWJ1PIvCtHTzzdLfS2hRVpQBsiUP9fDGduGB8NGgkdBWVm7a0Ycb8oMfxFAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:15:36.027832Z","signed_message":"canonical_sha256_bytes"},"source_id":"1805.07137","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a5b4b3323b26e559f40956215d503add6123d16038c0be128a879e675f52859d","sha256:6468de6b812fac671f5be28202a5f5f91ca7c47a85a88378ffdd567fc777bdc0"],"state_sha256":"b7ad064a56f2a22b928de1075b12dc29647261d251d583640a3f05a165e5496e"}