{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:O6F3JBCJAOSBNB2NA4RARYAQHW","short_pith_number":"pith:O6F3JBCJ","canonical_record":{"source":{"id":"1305.4153","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2013-05-17T18:44:50Z","cross_cats_sorted":[],"title_canon_sha256":"90cf4eb90049041475e014f3411547b91e0c6eb795e2bc5cd1ba8fdd83718fcd","abstract_canon_sha256":"45ba8ef783c15a2c336311d5329683a6d234e356ea89d646c517bbcabfb07d89"},"schema_version":"1.0"},"canonical_sha256":"778bb4844903a416874d072208e0103d9c373a6b42642481db2b2d8606f5a98f","source":{"kind":"arxiv","id":"1305.4153","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.4153","created_at":"2026-05-18T03:25:26Z"},{"alias_kind":"arxiv_version","alias_value":"1305.4153v1","created_at":"2026-05-18T03:25:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.4153","created_at":"2026-05-18T03:25:26Z"},{"alias_kind":"pith_short_12","alias_value":"O6F3JBCJAOSB","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_16","alias_value":"O6F3JBCJAOSBNB2N","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_8","alias_value":"O6F3JBCJ","created_at":"2026-05-18T12:27:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:O6F3JBCJAOSBNB2NA4RARYAQHW","target":"record","payload":{"canonical_record":{"source":{"id":"1305.4153","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2013-05-17T18:44:50Z","cross_cats_sorted":[],"title_canon_sha256":"90cf4eb90049041475e014f3411547b91e0c6eb795e2bc5cd1ba8fdd83718fcd","abstract_canon_sha256":"45ba8ef783c15a2c336311d5329683a6d234e356ea89d646c517bbcabfb07d89"},"schema_version":"1.0"},"canonical_sha256":"778bb4844903a416874d072208e0103d9c373a6b42642481db2b2d8606f5a98f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:25:26.140531Z","signature_b64":"FGkVFVKDCmK5YHQGAfQott9eUDq8yy7ku7TOQdZ8/mj8MRnMJBjd0dUl0IIesTQcTmn6nvd31W5f+ThE9dnRCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"778bb4844903a416874d072208e0103d9c373a6b42642481db2b2d8606f5a98f","last_reissued_at":"2026-05-18T03:25:26.139963Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:25:26.139963Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1305.4153","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:25:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"csB7HsGr1WfG9wrzAO83G+uWNxsnnd+BlIMOoRuqGh9WoyPB5TUhSQa5X32pTmAk2veNWlJBPurmVZ49TVLrCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T07:51:07.712959Z"},"content_sha256":"fd9af2ded26e1212adb6b0574dcd43c928a6a56e1c2e06984c35d18a2cf920f2","schema_version":"1.0","event_id":"sha256:fd9af2ded26e1212adb6b0574dcd43c928a6a56e1c2e06984c35d18a2cf920f2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:O6F3JBCJAOSBNB2NA4RARYAQHW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Factored expectation propagation for input-output FHMM models in systems biology","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.ML","authors_text":"Botond Cseke, Guido Sanguinetti","submitted_at":"2013-05-17T18:44:50Z","abstract_excerpt":"We consider the problem of joint modelling of metabolic signals and gene expression in systems biology applications. We propose an approach based on input-output factorial hidden Markov models and propose a structured variational inference approach to infer the structure and states of the model. We start from the classical free form structured variational mean field approach and use a expectation propagation to approximate the expectations needed in the variational loop. We show that this corresponds to a factored expectation constrained approximate inference. We validate our model through ext"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.4153","kind":"arxiv","version":1},"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":"2026-05-18T03:25:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nv0P+O0F8gXO6s+/pi+jqa4b3+xdE3o81Cy2cN+L1C0VpPHJ54u+xqOnR6Otgi5Bm7VrjoyRmFTaOJIKJ/sDCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T07:51:07.713383Z"},"content_sha256":"1c641f046a327db2e41ad6b268d502ccdd3a28489443d0a3342d4ad7a39930d6","schema_version":"1.0","event_id":"sha256:1c641f046a327db2e41ad6b268d502ccdd3a28489443d0a3342d4ad7a39930d6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/O6F3JBCJAOSBNB2NA4RARYAQHW/bundle.json","state_url":"https://pith.science/pith/O6F3JBCJAOSBNB2NA4RARYAQHW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/O6F3JBCJAOSBNB2NA4RARYAQHW/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":"2026-05-28T07:51:07Z","links":{"resolver":"https://pith.science/pith/O6F3JBCJAOSBNB2NA4RARYAQHW","bundle":"https://pith.science/pith/O6F3JBCJAOSBNB2NA4RARYAQHW/bundle.json","state":"https://pith.science/pith/O6F3JBCJAOSBNB2NA4RARYAQHW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/O6F3JBCJAOSBNB2NA4RARYAQHW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:O6F3JBCJAOSBNB2NA4RARYAQHW","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":"45ba8ef783c15a2c336311d5329683a6d234e356ea89d646c517bbcabfb07d89","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2013-05-17T18:44:50Z","title_canon_sha256":"90cf4eb90049041475e014f3411547b91e0c6eb795e2bc5cd1ba8fdd83718fcd"},"schema_version":"1.0","source":{"id":"1305.4153","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.4153","created_at":"2026-05-18T03:25:26Z"},{"alias_kind":"arxiv_version","alias_value":"1305.4153v1","created_at":"2026-05-18T03:25:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.4153","created_at":"2026-05-18T03:25:26Z"},{"alias_kind":"pith_short_12","alias_value":"O6F3JBCJAOSB","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_16","alias_value":"O6F3JBCJAOSBNB2N","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_8","alias_value":"O6F3JBCJ","created_at":"2026-05-18T12:27:54Z"}],"graph_snapshots":[{"event_id":"sha256:1c641f046a327db2e41ad6b268d502ccdd3a28489443d0a3342d4ad7a39930d6","target":"graph","created_at":"2026-05-18T03:25:26Z","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 the problem of joint modelling of metabolic signals and gene expression in systems biology applications. We propose an approach based on input-output factorial hidden Markov models and propose a structured variational inference approach to infer the structure and states of the model. We start from the classical free form structured variational mean field approach and use a expectation propagation to approximate the expectations needed in the variational loop. We show that this corresponds to a factored expectation constrained approximate inference. We validate our model through ext","authors_text":"Botond Cseke, Guido Sanguinetti","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2013-05-17T18:44:50Z","title":"Factored expectation propagation for input-output FHMM models in systems biology"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.4153","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:fd9af2ded26e1212adb6b0574dcd43c928a6a56e1c2e06984c35d18a2cf920f2","target":"record","created_at":"2026-05-18T03:25:26Z","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":"45ba8ef783c15a2c336311d5329683a6d234e356ea89d646c517bbcabfb07d89","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2013-05-17T18:44:50Z","title_canon_sha256":"90cf4eb90049041475e014f3411547b91e0c6eb795e2bc5cd1ba8fdd83718fcd"},"schema_version":"1.0","source":{"id":"1305.4153","kind":"arxiv","version":1}},"canonical_sha256":"778bb4844903a416874d072208e0103d9c373a6b42642481db2b2d8606f5a98f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"778bb4844903a416874d072208e0103d9c373a6b42642481db2b2d8606f5a98f","first_computed_at":"2026-05-18T03:25:26.139963Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:25:26.139963Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FGkVFVKDCmK5YHQGAfQott9eUDq8yy7ku7TOQdZ8/mj8MRnMJBjd0dUl0IIesTQcTmn6nvd31W5f+ThE9dnRCw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:25:26.140531Z","signed_message":"canonical_sha256_bytes"},"source_id":"1305.4153","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fd9af2ded26e1212adb6b0574dcd43c928a6a56e1c2e06984c35d18a2cf920f2","sha256:1c641f046a327db2e41ad6b268d502ccdd3a28489443d0a3342d4ad7a39930d6"],"state_sha256":"c8d92e8235c360056b03628be24bdb1b5bccd7bc2781f0a1e4bc5fc7f00dfbd7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NYWqbG4w4z2eAG4Il+ZnZjg6mvRf+fncMWRUL2NkELt0Dgdl/nbSOlxGSNXE7WtBqkD0hOOm/Rzs2qX7OO3IAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T07:51:07.715331Z","bundle_sha256":"edb4c059c8703684469b3f77bcdb67ea4d7a36552c42057fbdc7593d292d10ad"}}