{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:OYX4MHOCBXXJNEATIVAQJDX3EG","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":"51653b41ba57e06b20eadaec795c120b0d3e2fab290169439239b80c0d342f2a","cross_cats_sorted":["stat.TH"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.ST","submitted_at":"2022-06-27T17:25:47Z","title_canon_sha256":"ee9a5452d38081fdf8b2d7fa669902ebcd0abc0cdade94843370d2c94ec93371"},"schema_version":"1.0","source":{"id":"2206.13472","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2206.13472","created_at":"2026-07-05T04:35:07Z"},{"alias_kind":"arxiv_version","alias_value":"2206.13472v1","created_at":"2026-07-05T04:35:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2206.13472","created_at":"2026-07-05T04:35:07Z"},{"alias_kind":"pith_short_12","alias_value":"OYX4MHOCBXXJ","created_at":"2026-07-05T04:35:07Z"},{"alias_kind":"pith_short_16","alias_value":"OYX4MHOCBXXJNEAT","created_at":"2026-07-05T04:35:07Z"},{"alias_kind":"pith_short_8","alias_value":"OYX4MHOC","created_at":"2026-07-05T04:35:07Z"}],"graph_snapshots":[{"event_id":"sha256:567a0a63835fa78eddaeea39ff5ae294162808a6e3bd03cbeafd1be74bea732c","target":"graph","created_at":"2026-07-05T04:35:07Z","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/2206.13472/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the sample complexity of entropic optimal transport in high dimensions using computationally efficient plug-in estimators. We significantly advance the state of the art by establishing dimension-free, parametric rates for estimating various quantities of interest, including the entropic regression function which is a natural analog to the optimal transport map. As an application, we propose a practical model for transfer learning based on entropic optimal transport and establish parametric rates of convergence for nonparametric regression and classification.","authors_text":"Austin J. Stromme, Philippe Rigollet","cross_cats":["stat.TH"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.ST","submitted_at":"2022-06-27T17:25:47Z","title":"On the sample complexity of entropic optimal transport"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2206.13472","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:ce601eff6ea43f1c3fda00881953228d0a1d1403955a75d85961f92102019c90","target":"record","created_at":"2026-07-05T04:35:07Z","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":"51653b41ba57e06b20eadaec795c120b0d3e2fab290169439239b80c0d342f2a","cross_cats_sorted":["stat.TH"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.ST","submitted_at":"2022-06-27T17:25:47Z","title_canon_sha256":"ee9a5452d38081fdf8b2d7fa669902ebcd0abc0cdade94843370d2c94ec93371"},"schema_version":"1.0","source":{"id":"2206.13472","kind":"arxiv","version":1}},"canonical_sha256":"762fc61dc20dee9690134541048efb21a9eddb08b9d59a76b9feab548db5f386","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"762fc61dc20dee9690134541048efb21a9eddb08b9d59a76b9feab548db5f386","first_computed_at":"2026-07-05T04:35:07.143582Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:35:07.143582Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lRj4MIYFLEKJq82VIKPsqMehpLAjKLA/vwfqiEynZy+/l0ORU+yIWhLLf7i5kPBczr3+YkudwohMVxT52LQIBA==","signature_status":"signed_v1","signed_at":"2026-07-05T04:35:07.144033Z","signed_message":"canonical_sha256_bytes"},"source_id":"2206.13472","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ce601eff6ea43f1c3fda00881953228d0a1d1403955a75d85961f92102019c90","sha256:567a0a63835fa78eddaeea39ff5ae294162808a6e3bd03cbeafd1be74bea732c"],"state_sha256":"98ce9cee284ad42326c63e5b4d6c9f7baa5560c7d651e928ba196fad2fb56035"}