{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:3DI3KW2OZD3QCZYG6WZPYBX7LR","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":"74ad0db1df1b14f8747c2f668457b610019d7add7af664a695338b254b345193","cross_cats_sorted":["stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2019-05-01T01:32:52Z","title_canon_sha256":"536942e1666f4e6cddaf4240a25b93df7b7c96fcbc7c5307c195ae59e87d365d"},"schema_version":"1.0","source":{"id":"1905.00158","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1905.00158","created_at":"2026-05-17T23:42:32Z"},{"alias_kind":"arxiv_version","alias_value":"1905.00158v3","created_at":"2026-05-17T23:42:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.00158","created_at":"2026-05-17T23:42:32Z"},{"alias_kind":"pith_short_12","alias_value":"3DI3KW2OZD3Q","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_16","alias_value":"3DI3KW2OZD3QCZYG","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_8","alias_value":"3DI3KW2O","created_at":"2026-05-18T12:33:07Z"}],"graph_snapshots":[{"event_id":"sha256:b27980685340b673697122a7b9f148832462bb310bdca232af28dd54c278ca60","target":"graph","created_at":"2026-05-17T23:42:32Z","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"},"paper":{"abstract_excerpt":"Optimal Transport (OT) naturally arises in many machine learning applications, yet the heavy computational burden limits its wide-spread uses. To address the scalability issue, we propose an implicit generative learning-based framework called SPOT (Scalable Push-forward of Optimal Transport). Specifically, we approximate the optimal transport plan by a pushforward of a reference distribution, and cast the optimal transport problem into a minimax problem. We then can solve OT problems efficiently using primal dual stochastic gradient-type algorithms. We also show that we can recover the density","authors_text":"Haoming Jiang, Hongyuan Zha, Minshuo Chen, Tuo Zhao, Yujia Xie","cross_cats":["stat.ML"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2019-05-01T01:32:52Z","title":"On Scalable and Efficient Computation of Large Scale Optimal Transport"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.00158","kind":"arxiv","version":3},"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":"sha256:293798be7f52d5735af4ea03c27ba8cbee5e285079164c784ba1de76a2041825","target":"record","created_at":"2026-05-17T23:42:32Z","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":"74ad0db1df1b14f8747c2f668457b610019d7add7af664a695338b254b345193","cross_cats_sorted":["stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2019-05-01T01:32:52Z","title_canon_sha256":"536942e1666f4e6cddaf4240a25b93df7b7c96fcbc7c5307c195ae59e87d365d"},"schema_version":"1.0","source":{"id":"1905.00158","kind":"arxiv","version":3}},"canonical_sha256":"d8d1b55b4ec8f7016706f5b2fc06ff5c521daafc6dcf91cc9b8769a0328fbc0c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d8d1b55b4ec8f7016706f5b2fc06ff5c521daafc6dcf91cc9b8769a0328fbc0c","first_computed_at":"2026-05-17T23:42:32.310712Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:42:32.310712Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KVfxbXoRGNO0JKuzHlsxd5jtJ0xmaRPhk9CH9fbdOFfQIg533/5F3eyKMpVKHYeyqJsQyLWXTtYzgpiv/SLfCw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:42:32.311388Z","signed_message":"canonical_sha256_bytes"},"source_id":"1905.00158","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:293798be7f52d5735af4ea03c27ba8cbee5e285079164c784ba1de76a2041825","sha256:b27980685340b673697122a7b9f148832462bb310bdca232af28dd54c278ca60"],"state_sha256":"0f3a065df7c53b323490b7c2227865ba58c0a8d46b62561bb5fc88b15961c9ee"}