{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:QDH5WQQIIDN74VD3ELIRHBDIZM","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":"8be3c741c5a506fe95c571c0191bc9df3d1fc16bb70714125cd6786099342de1","cross_cats_sorted":["stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2012-10-16T17:37:41Z","title_canon_sha256":"7337269442a11f13908bde92ef5b19580ae0a90e05552f19d0ad48b0c8223725"},"schema_version":"1.0","source":{"id":"1210.4856","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1210.4856","created_at":"2026-05-18T03:42:55Z"},{"alias_kind":"arxiv_version","alias_value":"1210.4856v1","created_at":"2026-05-18T03:42:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.4856","created_at":"2026-05-18T03:42:55Z"},{"alias_kind":"pith_short_12","alias_value":"QDH5WQQIIDN7","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_16","alias_value":"QDH5WQQIIDN74VD3","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_8","alias_value":"QDH5WQQI","created_at":"2026-05-18T12:27:18Z"}],"graph_snapshots":[{"event_id":"sha256:38d9f08a3715d4de0c9583d318da9fe8187fa52c772627b90ec10ad9996a469c","target":"graph","created_at":"2026-05-18T03:42:55Z","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":"The recent proliferation of richly structured probabilistic models raises the question of how to automatically determine an appropriate model for a dataset. We investigate this question for a space of matrix decomposition models which can express a variety of widely used models from unsupervised learning. To enable model selection, we organize these models into a context-free grammar which generates a wide variety of structures through the compositional application of a few simple rules. We use our grammar to generically and efficiently infer latent components and estimate predictive likelihoo","authors_text":"Joshua B. Tenenbaum, Roger Grosse, Ruslan R Salakhutdinov, William T. Freeman","cross_cats":["stat.ML"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2012-10-16T17:37:41Z","title":"Exploiting compositionality to explore a large space of model structures"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.4856","kind":"arxiv","version":1},"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":"sha256:3ded3c5e037b63660026da1e56ad77e8cb36af3d15e43a6ebd819620d12c2232","target":"record","created_at":"2026-05-18T03:42:55Z","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":"8be3c741c5a506fe95c571c0191bc9df3d1fc16bb70714125cd6786099342de1","cross_cats_sorted":["stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2012-10-16T17:37:41Z","title_canon_sha256":"7337269442a11f13908bde92ef5b19580ae0a90e05552f19d0ad48b0c8223725"},"schema_version":"1.0","source":{"id":"1210.4856","kind":"arxiv","version":1}},"canonical_sha256":"80cfdb420840dbfe547b22d1138468cb12cb25b1417dadfbf949a62920b27c20","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"80cfdb420840dbfe547b22d1138468cb12cb25b1417dadfbf949a62920b27c20","first_computed_at":"2026-05-18T03:42:55.442328Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:42:55.442328Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yOZUL3sI6zgZCHGlU/I1N7Z5OwwOX9YffHTNnzW+kX78cHP5y4OUAnRk0O+RFqmiyRE5y7Y3Q3ZeXVqmiai1BA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:42:55.443106Z","signed_message":"canonical_sha256_bytes"},"source_id":"1210.4856","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3ded3c5e037b63660026da1e56ad77e8cb36af3d15e43a6ebd819620d12c2232","sha256:38d9f08a3715d4de0c9583d318da9fe8187fa52c772627b90ec10ad9996a469c"],"state_sha256":"ee974f5f5e93d443a64204d98e2c0ee77757a93ee93096aa6266557c4325346b"}