{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:CEHR3NIVA6OGC46WO7HOTH6FXJ","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":"4ba3d40d2f2455cdff2388ed374fbe5944cf49a2dc39e05c0f3ff2feecbc9839","cross_cats_sorted":["cs.DB","cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2016-05-20T20:10:46Z","title_canon_sha256":"c6e70fafd6786d5b4bb2d5c81aa798044a9c1f989863a38efa0c863435452c9c"},"schema_version":"1.0","source":{"id":"1605.06523","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.06523","created_at":"2026-05-18T01:10:45Z"},{"alias_kind":"arxiv_version","alias_value":"1605.06523v2","created_at":"2026-05-18T01:10:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.06523","created_at":"2026-05-18T01:10:45Z"},{"alias_kind":"pith_short_12","alias_value":"CEHR3NIVA6OG","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_16","alias_value":"CEHR3NIVA6OGC46W","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_8","alias_value":"CEHR3NIV","created_at":"2026-05-18T12:30:09Z"}],"graph_snapshots":[{"event_id":"sha256:ecaa71fc6d2d14a044215092cba03615d2c10933edc606ba46b6746d249968f7","target":"graph","created_at":"2026-05-18T01:10:45Z","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":"Large knowledge bases (KBs) are useful in many tasks, but it is unclear how to integrate this sort of knowledge into \"deep\" gradient-based learning systems. To address this problem, we describe a probabilistic deductive database, called TensorLog, in which reasoning uses a differentiable process. In TensorLog, each clause in a logical theory is first converted into certain type of factor graph. Then, for each type of query to the factor graph, the message-passing steps required to perform belief propagation (BP) are \"unrolled\" into a function, which is differentiable. We show that these functi","authors_text":"William W. Cohen","cross_cats":["cs.DB","cs.LG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2016-05-20T20:10:46Z","title":"TensorLog: A Differentiable Deductive Database"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.06523","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:d3f2cd9b80b23ddaae91c8ed7a6e48b676f13cd4d559c1123f715a11dcd784a7","target":"record","created_at":"2026-05-18T01:10:45Z","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":"4ba3d40d2f2455cdff2388ed374fbe5944cf49a2dc39e05c0f3ff2feecbc9839","cross_cats_sorted":["cs.DB","cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2016-05-20T20:10:46Z","title_canon_sha256":"c6e70fafd6786d5b4bb2d5c81aa798044a9c1f989863a38efa0c863435452c9c"},"schema_version":"1.0","source":{"id":"1605.06523","kind":"arxiv","version":2}},"canonical_sha256":"110f1db515079c6173d677cee99fc5ba545a8847d3c37cc9394b65f8a94941a7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"110f1db515079c6173d677cee99fc5ba545a8847d3c37cc9394b65f8a94941a7","first_computed_at":"2026-05-18T01:10:45.529444Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:10:45.529444Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DXJXmUx2jWRMnqzYkBcZPxxovHyNHI+aiy2t0fcSiO/Uk1Uh+2VrQAxLv5FaDucEDDTaZIGIaGQIBeOaDyyXCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:10:45.529840Z","signed_message":"canonical_sha256_bytes"},"source_id":"1605.06523","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d3f2cd9b80b23ddaae91c8ed7a6e48b676f13cd4d559c1123f715a11dcd784a7","sha256:ecaa71fc6d2d14a044215092cba03615d2c10933edc606ba46b6746d249968f7"],"state_sha256":"933b330e4dec395d0f31fad8be72aca231c0b27f2daaa09fa90021cf2e0637e7"}