{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:F7DRTRRTTYQF2Q7H2WSXAP3VGM","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":"939be9720f81083dac1589c59d7c68e011506390d14cbe1c36ad8b5c792e6bf6","cross_cats_sorted":["math.OC","stat.ML"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2024-11-11T15:25:48Z","title_canon_sha256":"12ebc92fa80170f0a07a3cc006e94e7f7a6ea97230747bfd94c2bfe12fb4d094"},"schema_version":"1.0","source":{"id":"2411.07061","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.07061","created_at":"2026-07-05T09:33:56Z"},{"alias_kind":"arxiv_version","alias_value":"2411.07061v1","created_at":"2026-07-05T09:33:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.07061","created_at":"2026-07-05T09:33:56Z"},{"alias_kind":"pith_short_12","alias_value":"F7DRTRRTTYQF","created_at":"2026-07-05T09:33:56Z"},{"alias_kind":"pith_short_16","alias_value":"F7DRTRRTTYQF2Q7H","created_at":"2026-07-05T09:33:56Z"},{"alias_kind":"pith_short_8","alias_value":"F7DRTRRT","created_at":"2026-07-05T09:33:56Z"}],"graph_snapshots":[{"event_id":"sha256:65b9b7e9f98608a09b36eb0f1a824c6dbb8ff82515f76537568153ba0d021260","target":"graph","created_at":"2026-07-05T09:33:56Z","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/2411.07061/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This work investigates the effectiveness of schedule-free methods, developed by A. Defazio et al. (NeurIPS 2024), in nonconvex optimization settings, inspired by their remarkable empirical success in training neural networks. Specifically, we show that schedule-free SGD achieves optimal iteration complexity for nonsmooth, nonconvex optimization problems. Our proof begins with the development of a general framework for online-to-nonconvex conversion, which converts a given online learning algorithm into an optimization algorithm for nonconvex losses. Our general framework not only recovers exis","authors_text":"Ashok Cutkosky, Gagik Magakyan, Kwangjun Ahn","cross_cats":["math.OC","stat.ML"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2024-11-11T15:25:48Z","title":"General framework for online-to-nonconvex conversion: Schedule-free SGD is also effective for nonconvex optimization"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.07061","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:b21226d7ab8364e5cd7e3477ea7f9b174d2fc03fd6e95e2e4f30539e1fb17a95","target":"record","created_at":"2026-07-05T09:33:56Z","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":"939be9720f81083dac1589c59d7c68e011506390d14cbe1c36ad8b5c792e6bf6","cross_cats_sorted":["math.OC","stat.ML"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2024-11-11T15:25:48Z","title_canon_sha256":"12ebc92fa80170f0a07a3cc006e94e7f7a6ea97230747bfd94c2bfe12fb4d094"},"schema_version":"1.0","source":{"id":"2411.07061","kind":"arxiv","version":1}},"canonical_sha256":"2fc719c6339e205d43e7d5a5703f7533176b3a7f31742fc9919acbe36b18b52c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2fc719c6339e205d43e7d5a5703f7533176b3a7f31742fc9919acbe36b18b52c","first_computed_at":"2026-07-05T09:33:56.052663Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:33:56.052663Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lI8fUYpYka5OVWWMMHn//Vsq4o62YmdowpPyZf5IgWG/MICwKIoQSLrRj+Etr68axLb8bsy0T9ZAWU561+kRAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T09:33:56.053088Z","signed_message":"canonical_sha256_bytes"},"source_id":"2411.07061","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b21226d7ab8364e5cd7e3477ea7f9b174d2fc03fd6e95e2e4f30539e1fb17a95","sha256:65b9b7e9f98608a09b36eb0f1a824c6dbb8ff82515f76537568153ba0d021260"],"state_sha256":"5dcbde88709e8a06f1aaa263c655a3f82ab27cdf31458d9dee1400ba5ccef812"}