{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:3HCZLQV5FFIBJ73PZUWKGBHX4I","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":"4087e6f1328bf891b9f1994eff25fa048185d940922d75a9309088149ee88814","cross_cats_sorted":["math.OC"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2024-08-21T13:47:01Z","title_canon_sha256":"d1558a79830c9f47fd51d5871910489aeb3b4d35427f05dbb308a3ca2f90629a"},"schema_version":"1.0","source":{"id":"2408.11620","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2408.11620","created_at":"2026-07-05T08:57:46Z"},{"alias_kind":"arxiv_version","alias_value":"2408.11620v1","created_at":"2026-07-05T08:57:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2408.11620","created_at":"2026-07-05T08:57:46Z"},{"alias_kind":"pith_short_12","alias_value":"3HCZLQV5FFIB","created_at":"2026-07-05T08:57:46Z"},{"alias_kind":"pith_short_16","alias_value":"3HCZLQV5FFIBJ73P","created_at":"2026-07-05T08:57:46Z"},{"alias_kind":"pith_short_8","alias_value":"3HCZLQV5","created_at":"2026-07-05T08:57:46Z"}],"graph_snapshots":[{"event_id":"sha256:467da5eaf465eb71e93bf2c7ffac89d6bdafd8cb63355fa57bad695856ce07b7","target":"graph","created_at":"2026-07-05T08:57:46Z","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/2408.11620/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Sinkhorn's algorithm is a method of choice to solve large-scale optimal transport (OT) problems. In this context, it involves an inverse temperature parameter $\\beta$ that determines the speed-accuracy trade-off. To improve this trade-off, practitioners often use a variant of this algorithm, Annealed Sinkhorn, that uses an nondecreasing sequence $(\\beta_t)_{t\\in \\mathbb{N}}$ where $t$ is the iteration count. However, besides for the schedule $\\beta_t=\\Theta(\\log t)$ which is impractically slow, it is not known whether this variant is guaranteed to actually solve OT. Our first contribution answ","authors_text":"L\\'ena\\\"ic Chizat","cross_cats":["math.OC"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2024-08-21T13:47:01Z","title":"Annealed Sinkhorn for Optimal Transport: convergence, regularization path and debiasing"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2408.11620","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:ebe8b7b135200503c1c296a43945fa25fe46fde62fa6d1a10f3bb25bccb126fb","target":"record","created_at":"2026-07-05T08:57:46Z","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":"4087e6f1328bf891b9f1994eff25fa048185d940922d75a9309088149ee88814","cross_cats_sorted":["math.OC"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2024-08-21T13:47:01Z","title_canon_sha256":"d1558a79830c9f47fd51d5871910489aeb3b4d35427f05dbb308a3ca2f90629a"},"schema_version":"1.0","source":{"id":"2408.11620","kind":"arxiv","version":1}},"canonical_sha256":"d9c595c2bd295014ff6fcd2ca304f7e2362a3020429201ebaaec048536e951b9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d9c595c2bd295014ff6fcd2ca304f7e2362a3020429201ebaaec048536e951b9","first_computed_at":"2026-07-05T08:57:46.160557Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:57:46.160557Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WzyZ1+zNBAqd/K63XwbPbF5i+FI90oX4F3O/hQFlAW34w3YrfLt772p06j61g/jJMS4lsgR2SyLnqORGRh9TCw==","signature_status":"signed_v1","signed_at":"2026-07-05T08:57:46.161065Z","signed_message":"canonical_sha256_bytes"},"source_id":"2408.11620","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ebe8b7b135200503c1c296a43945fa25fe46fde62fa6d1a10f3bb25bccb126fb","sha256:467da5eaf465eb71e93bf2c7ffac89d6bdafd8cb63355fa57bad695856ce07b7"],"state_sha256":"c0d1322c9f96ea050226ba0796427a3ac45f6b746e333184f7c35f24cedac82b"}