{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:QTZDRL3MOZNNRKZVXELOQVTYMT","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":"83e6de6842788db6561a246a9b4f107a3b7f63ccdfe6fd865671e91c44763069","cross_cats_sorted":["cs.CV","stat.ML"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.LG","submitted_at":"2021-02-18T12:54:42Z","title_canon_sha256":"4c2fc89ab1fa8313902a255121f0be727261f0713aef4118fa55be8c156098ce"},"schema_version":"1.0","source":{"id":"2102.09310","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2102.09310","created_at":"2026-07-05T04:13:09Z"},{"alias_kind":"arxiv_version","alias_value":"2102.09310v4","created_at":"2026-07-05T04:13:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2102.09310","created_at":"2026-07-05T04:13:09Z"},{"alias_kind":"pith_short_12","alias_value":"QTZDRL3MOZNN","created_at":"2026-07-05T04:13:09Z"},{"alias_kind":"pith_short_16","alias_value":"QTZDRL3MOZNNRKZV","created_at":"2026-07-05T04:13:09Z"},{"alias_kind":"pith_short_8","alias_value":"QTZDRL3M","created_at":"2026-07-05T04:13:09Z"}],"graph_snapshots":[{"event_id":"sha256:773028f14df8b6a4cb4dc7bb38d62579e360f25bb66d19df0a2cc9a614af1891","target":"graph","created_at":"2026-07-05T04:13:09Z","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/2102.09310/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The importance of Variational Autoencoders reaches far beyond standalone generative models -- the approach is also used for learning latent representations and can be generalized to semi-supervised learning. This requires a thorough analysis of their commonly known shortcomings: posterior collapse and approximation errors. This paper analyzes VAE approximation errors caused by the combination of the ELBO objective and encoder models from conditional exponential families, including, but not limited to, commonly used conditionally independent discrete and continuous models. We characterize subcl","authors_text":"Alexander Shekhovtsov, Boris Flach, Dmitrij Schlesinger","cross_cats":["cs.CV","stat.ML"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.LG","submitted_at":"2021-02-18T12:54:42Z","title":"VAE Approximation Error: ELBO and Exponential Families"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2102.09310","kind":"arxiv","version":4},"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":"sha256:0225676e7c29610de2875f13a6ebe72576de081069158fdbae3712884ec4708b","target":"record","created_at":"2026-07-05T04:13:09Z","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":"83e6de6842788db6561a246a9b4f107a3b7f63ccdfe6fd865671e91c44763069","cross_cats_sorted":["cs.CV","stat.ML"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.LG","submitted_at":"2021-02-18T12:54:42Z","title_canon_sha256":"4c2fc89ab1fa8313902a255121f0be727261f0713aef4118fa55be8c156098ce"},"schema_version":"1.0","source":{"id":"2102.09310","kind":"arxiv","version":4}},"canonical_sha256":"84f238af6c765ad8ab35b916e8567864fdf7ab71941ec8880c856809cdb0bc24","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"84f238af6c765ad8ab35b916e8567864fdf7ab71941ec8880c856809cdb0bc24","first_computed_at":"2026-07-05T04:13:09.030090Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:13:09.030090Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4Azz1T5VPUrkEy7zr7saae2DZCASechD+WKCyZQM2Wnj4SwbNHfkno43bcBV7wd0mWql7tkn+cJSkuTOGS2qBg==","signature_status":"signed_v1","signed_at":"2026-07-05T04:13:09.030554Z","signed_message":"canonical_sha256_bytes"},"source_id":"2102.09310","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0225676e7c29610de2875f13a6ebe72576de081069158fdbae3712884ec4708b","sha256:773028f14df8b6a4cb4dc7bb38d62579e360f25bb66d19df0a2cc9a614af1891"],"state_sha256":"7188726a4b7e7a8423a055e5c7f44a5712ac583361c50ab7c5d5dee9cc75c98a"}