{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:IFFHZWFXNSDMAZUQ6NP7HXIFWI","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":"57489e4bb7dbdf8a69423b7dd197a5bf8d72a8d20bd3593bad922d42e57e8086","cross_cats_sorted":["stat.ML"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.LG","submitted_at":"2023-02-20T22:34:43Z","title_canon_sha256":"f174d55669fc42634fdd2cdcdf7822f5256632b3c29a6fd39ac85b0f95b8c42a"},"schema_version":"1.0","source":{"id":"2302.10351","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2302.10351","created_at":"2026-07-05T05:44:17Z"},{"alias_kind":"arxiv_version","alias_value":"2302.10351v1","created_at":"2026-07-05T05:44:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2302.10351","created_at":"2026-07-05T05:44:17Z"},{"alias_kind":"pith_short_12","alias_value":"IFFHZWFXNSDM","created_at":"2026-07-05T05:44:17Z"},{"alias_kind":"pith_short_16","alias_value":"IFFHZWFXNSDMAZUQ","created_at":"2026-07-05T05:44:17Z"},{"alias_kind":"pith_short_8","alias_value":"IFFHZWFX","created_at":"2026-07-05T05:44:17Z"}],"graph_snapshots":[{"event_id":"sha256:da0f37f779633890dd885eba5a44f3e511587c42cfcf2730e692011765175f0d","target":"graph","created_at":"2026-07-05T05:44:17Z","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/2302.10351/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Unsupervised learning with functional data is an emerging paradigm of machine learning research with applications to computer vision, climate modeling and physical systems. A natural way of modeling functional data is by learning operators between infinite dimensional spaces, leading to discretization invariant representations that scale independently of the sample grid resolution. Here we present Variational Autoencoding Neural Operators (VANO), a general strategy for making a large class of operator learning architectures act as variational autoencoders. For this purpose, we provide a novel ","authors_text":"George J. Pappas, Georgios Kissas, Jacob H. Seidman, Paris Perdikaris","cross_cats":["stat.ML"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.LG","submitted_at":"2023-02-20T22:34:43Z","title":"Variational Autoencoding Neural Operators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2302.10351","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":"sha256:00a86a1da9c64b1a5073ad617296ca8f44c0d3b94ce9e68f94b52d806e7c16db","target":"record","created_at":"2026-07-05T05:44:17Z","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":"57489e4bb7dbdf8a69423b7dd197a5bf8d72a8d20bd3593bad922d42e57e8086","cross_cats_sorted":["stat.ML"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.LG","submitted_at":"2023-02-20T22:34:43Z","title_canon_sha256":"f174d55669fc42634fdd2cdcdf7822f5256632b3c29a6fd39ac85b0f95b8c42a"},"schema_version":"1.0","source":{"id":"2302.10351","kind":"arxiv","version":1}},"canonical_sha256":"414a7cd8b76c86c06690f35ff3dd05b220fc8595573b105a0f5ea3881383312a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"414a7cd8b76c86c06690f35ff3dd05b220fc8595573b105a0f5ea3881383312a","first_computed_at":"2026-07-05T05:44:17.329022Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:44:17.329022Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6FQbiVkZ5ZqWOXng4wR9fUQ0JSjL094jiiWJKFZQkSBGEanRWYRJ+1qJVtFgi8vMrkqOxMcmkAwRi2RJUh2cAw==","signature_status":"signed_v1","signed_at":"2026-07-05T05:44:17.329456Z","signed_message":"canonical_sha256_bytes"},"source_id":"2302.10351","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:00a86a1da9c64b1a5073ad617296ca8f44c0d3b94ce9e68f94b52d806e7c16db","sha256:da0f37f779633890dd885eba5a44f3e511587c42cfcf2730e692011765175f0d"],"state_sha256":"e517dc4a76ef66d7461d76b0b05e2474e73df8afde2b575b2789c5e28033134d"}