{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:BOAFRBDPOTGWYZVATVVD3HZV7I","short_pith_number":"pith:BOAFRBDP","canonical_record":{"source":{"id":"1507.01784","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2015-07-07T12:48:30Z","cross_cats_sorted":["cs.LG"],"title_canon_sha256":"865aa20346e0297ec75d9be12357f298a142505a585e8418c00bd251d23435c9","abstract_canon_sha256":"75b450ffb83aadb6a0afd9e6f8958c58049f73c24db0b0a8ba9903284e997928"},"schema_version":"1.0"},"canonical_sha256":"0b8058846f74cd6c66a09d6a3d9f35fa0003d039b69d8ad0a8b8b4e86cf58f3d","source":{"kind":"arxiv","id":"1507.01784","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1507.01784","created_at":"2026-05-18T01:27:45Z"},{"alias_kind":"arxiv_version","alias_value":"1507.01784v2","created_at":"2026-05-18T01:27:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.01784","created_at":"2026-05-18T01:27:45Z"},{"alias_kind":"pith_short_12","alias_value":"BOAFRBDPOTGW","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_16","alias_value":"BOAFRBDPOTGWYZVA","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_8","alias_value":"BOAFRBDP","created_at":"2026-05-18T12:29:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:BOAFRBDPOTGWYZVATVVD3HZV7I","target":"record","payload":{"canonical_record":{"source":{"id":"1507.01784","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2015-07-07T12:48:30Z","cross_cats_sorted":["cs.LG"],"title_canon_sha256":"865aa20346e0297ec75d9be12357f298a142505a585e8418c00bd251d23435c9","abstract_canon_sha256":"75b450ffb83aadb6a0afd9e6f8958c58049f73c24db0b0a8ba9903284e997928"},"schema_version":"1.0"},"canonical_sha256":"0b8058846f74cd6c66a09d6a3d9f35fa0003d039b69d8ad0a8b8b4e86cf58f3d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:27:45.861324Z","signature_b64":"ZOJaVJISzl5TTpNEYnLhunE69IZEUtG8cfKRW+5C1qHw+PsV1YqSwArlDeJYgLkqvrAnndtm3qJJ/dm8+gqdCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0b8058846f74cd6c66a09d6a3d9f35fa0003d039b69d8ad0a8b8b4e86cf58f3d","last_reissued_at":"2026-05-18T01:27:45.860731Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:27:45.860731Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1507.01784","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:27:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mvXu/VvtuKb5hXyfkdEgdAELNl5D7L/8MPeUqx+XL51C85gQgQ8tZSVYQohE75v57gRgOF+fr0BawCotdLj1DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T14:32:01.660778Z"},"content_sha256":"550ee9e5b3a01b06eb304931fb174352b48f45df45ca32aee5b9246a7699338f","schema_version":"1.0","event_id":"sha256:550ee9e5b3a01b06eb304931fb174352b48f45df45ca32aee5b9246a7699338f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:BOAFRBDPOTGWYZVATVVD3HZV7I","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Rethinking LDA: moment matching for discrete ICA","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.LG"],"primary_cat":"stat.ML","authors_text":"Anastasia Podosinnikova, Francis Bach, Simon Lacoste-Julien","submitted_at":"2015-07-07T12:48:30Z","abstract_excerpt":"We consider moment matching techniques for estimation in Latent Dirichlet Allocation (LDA). By drawing explicit links between LDA and discrete versions of independent component analysis (ICA), we first derive a new set of cumulant-based tensors, with an improved sample complexity. Moreover, we reuse standard ICA techniques such as joint diagonalization of tensors to improve over existing methods based on the tensor power method. In an extensive set of experiments on both synthetic and real datasets, we show that our new combination of tensors and orthogonal joint diagonalization techniques out"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.01784","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:27:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"t6zXGsPdml7x6WKTtBFQE0S8UUObjUBzyIiWVFT/ruoQ6x8+Tq7lZEEaREdGRLYJSEdnf3AT+ce50P9wDYhkBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T14:32:01.661131Z"},"content_sha256":"88fc3e1ef818dad4e47a7b1fcf6e61e772d88dff53601b940eaa9723fca1ee2c","schema_version":"1.0","event_id":"sha256:88fc3e1ef818dad4e47a7b1fcf6e61e772d88dff53601b940eaa9723fca1ee2c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BOAFRBDPOTGWYZVATVVD3HZV7I/bundle.json","state_url":"https://pith.science/pith/BOAFRBDPOTGWYZVATVVD3HZV7I/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BOAFRBDPOTGWYZVATVVD3HZV7I/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-30T14:32:01Z","links":{"resolver":"https://pith.science/pith/BOAFRBDPOTGWYZVATVVD3HZV7I","bundle":"https://pith.science/pith/BOAFRBDPOTGWYZVATVVD3HZV7I/bundle.json","state":"https://pith.science/pith/BOAFRBDPOTGWYZVATVVD3HZV7I/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BOAFRBDPOTGWYZVATVVD3HZV7I/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:BOAFRBDPOTGWYZVATVVD3HZV7I","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":"75b450ffb83aadb6a0afd9e6f8958c58049f73c24db0b0a8ba9903284e997928","cross_cats_sorted":["cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2015-07-07T12:48:30Z","title_canon_sha256":"865aa20346e0297ec75d9be12357f298a142505a585e8418c00bd251d23435c9"},"schema_version":"1.0","source":{"id":"1507.01784","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1507.01784","created_at":"2026-05-18T01:27:45Z"},{"alias_kind":"arxiv_version","alias_value":"1507.01784v2","created_at":"2026-05-18T01:27:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.01784","created_at":"2026-05-18T01:27:45Z"},{"alias_kind":"pith_short_12","alias_value":"BOAFRBDPOTGW","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_16","alias_value":"BOAFRBDPOTGWYZVA","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_8","alias_value":"BOAFRBDP","created_at":"2026-05-18T12:29:14Z"}],"graph_snapshots":[{"event_id":"sha256:88fc3e1ef818dad4e47a7b1fcf6e61e772d88dff53601b940eaa9723fca1ee2c","target":"graph","created_at":"2026-05-18T01:27:45Z","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":"We consider moment matching techniques for estimation in Latent Dirichlet Allocation (LDA). By drawing explicit links between LDA and discrete versions of independent component analysis (ICA), we first derive a new set of cumulant-based tensors, with an improved sample complexity. Moreover, we reuse standard ICA techniques such as joint diagonalization of tensors to improve over existing methods based on the tensor power method. In an extensive set of experiments on both synthetic and real datasets, we show that our new combination of tensors and orthogonal joint diagonalization techniques out","authors_text":"Anastasia Podosinnikova, Francis Bach, Simon Lacoste-Julien","cross_cats":["cs.LG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2015-07-07T12:48:30Z","title":"Rethinking LDA: moment matching for discrete ICA"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.01784","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":"sha256:550ee9e5b3a01b06eb304931fb174352b48f45df45ca32aee5b9246a7699338f","target":"record","created_at":"2026-05-18T01:27:45Z","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":"75b450ffb83aadb6a0afd9e6f8958c58049f73c24db0b0a8ba9903284e997928","cross_cats_sorted":["cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2015-07-07T12:48:30Z","title_canon_sha256":"865aa20346e0297ec75d9be12357f298a142505a585e8418c00bd251d23435c9"},"schema_version":"1.0","source":{"id":"1507.01784","kind":"arxiv","version":2}},"canonical_sha256":"0b8058846f74cd6c66a09d6a3d9f35fa0003d039b69d8ad0a8b8b4e86cf58f3d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0b8058846f74cd6c66a09d6a3d9f35fa0003d039b69d8ad0a8b8b4e86cf58f3d","first_computed_at":"2026-05-18T01:27:45.860731Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:27:45.860731Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZOJaVJISzl5TTpNEYnLhunE69IZEUtG8cfKRW+5C1qHw+PsV1YqSwArlDeJYgLkqvrAnndtm3qJJ/dm8+gqdCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:27:45.861324Z","signed_message":"canonical_sha256_bytes"},"source_id":"1507.01784","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:550ee9e5b3a01b06eb304931fb174352b48f45df45ca32aee5b9246a7699338f","sha256:88fc3e1ef818dad4e47a7b1fcf6e61e772d88dff53601b940eaa9723fca1ee2c"],"state_sha256":"1311cdd54b9e60d938855768851b48c7f02565e8036139fb69cfb831723074e1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nEW0LdRBscMXCFBAHociX/zTMRKC76MRtRR/yo8Tq8G8g0SYGi1NAqI03DeAmG2SCvdZqv+2dftUEj4SeHSJBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T14:32:01.663745Z","bundle_sha256":"2c6ebd5f730720333ee5fd1ff17b32d1285069522d6e2315c904e4c13bf27ab6"}}