{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:R2DR5IIMMHWV6XXEVCZDP5H6TK","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":"6f8901cc64977d60a62e4a091ca139b4e124fc32201fb425328dc4daaf6d5bd0","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.AI","submitted_at":"2022-12-19T23:50:19Z","title_canon_sha256":"de0202c4da15809ffccac3434b3fd0e496b383922f9f6ea718c708f89f0d16fd"},"schema_version":"1.0","source":{"id":"2212.09918","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2212.09918","created_at":"2026-07-05T05:27:01Z"},{"alias_kind":"arxiv_version","alias_value":"2212.09918v1","created_at":"2026-07-05T05:27:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2212.09918","created_at":"2026-07-05T05:27:01Z"},{"alias_kind":"pith_short_12","alias_value":"R2DR5IIMMHWV","created_at":"2026-07-05T05:27:01Z"},{"alias_kind":"pith_short_16","alias_value":"R2DR5IIMMHWV6XXE","created_at":"2026-07-05T05:27:01Z"},{"alias_kind":"pith_short_8","alias_value":"R2DR5IIM","created_at":"2026-07-05T05:27:01Z"}],"graph_snapshots":[{"event_id":"sha256:75c863c04bb554fa1ef57ed72857160b68084ec4d10a3d8d49df140115514af4","target":"graph","created_at":"2026-07-05T05:27:01Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2212.09918/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Making sense of multiple modalities can yield a more comprehensive description of real-world phenomena. However, learning the co-representation of diverse modalities is still a long-standing endeavor in emerging machine learning applications and research. Previous generative approaches for multimodal input approximate a joint-modality posterior by uni-modality posteriors as product-of-experts (PoE) or mixture-of-experts (MoE). We argue that these approximations lead to a defective bound for the optimization process and loss of semantic connection among modalities. This paper presents a novel v","authors_text":"Chin-Teng Lin, Jinzhao Zhou, Yiqun Duan, Yu-Cheng Chang, Zhihong Chen","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.AI","submitted_at":"2022-12-19T23:50:19Z","title":"Generalizing Multimodal Variational Methods to Sets"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2212.09918","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":"sha256:31ae60aa5a56f89eb67fbbecbeefc6010d4e935ad95d7f877d8a67041fe4c763","target":"record","created_at":"2026-07-05T05:27:01Z","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":"6f8901cc64977d60a62e4a091ca139b4e124fc32201fb425328dc4daaf6d5bd0","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.AI","submitted_at":"2022-12-19T23:50:19Z","title_canon_sha256":"de0202c4da15809ffccac3434b3fd0e496b383922f9f6ea718c708f89f0d16fd"},"schema_version":"1.0","source":{"id":"2212.09918","kind":"arxiv","version":1}},"canonical_sha256":"8e871ea10c61ed5f5ee4a8b237f4fe9a929d48a35b0341959409652421c6ee75","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8e871ea10c61ed5f5ee4a8b237f4fe9a929d48a35b0341959409652421c6ee75","first_computed_at":"2026-07-05T05:27:01.590848Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:27:01.590848Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"H9PZ0XnsU6TqJZ3qH/zqgT1bQuXgXEnwPzWdudCdhXWnu/MY0VXAWUhHYomvrBQQ2RK22vR+VD0Q1faAuOFjCw==","signature_status":"signed_v1","signed_at":"2026-07-05T05:27:01.591433Z","signed_message":"canonical_sha256_bytes"},"source_id":"2212.09918","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:31ae60aa5a56f89eb67fbbecbeefc6010d4e935ad95d7f877d8a67041fe4c763","sha256:75c863c04bb554fa1ef57ed72857160b68084ec4d10a3d8d49df140115514af4"],"state_sha256":"b9ca4372607349327e3392e89a58dd51e2d34e102ea7665c725094a8abb9aa48"}