{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:TNEK3NZFA7A37IXMKQNSM7HMND","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":"66c2598b702807411790caa94c09f2da22e3c4bcf2311443cd0a09a15414a412","cross_cats_sorted":["cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-10-08T00:29:43Z","title_canon_sha256":"f7befbbfd8062d18673a6e628fa3b443f41f10639b734960b1f53683fd8c565d"},"schema_version":"1.0","source":{"id":"1810.03233","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.03233","created_at":"2026-05-17T23:53:41Z"},{"alias_kind":"arxiv_version","alias_value":"1810.03233v3","created_at":"2026-05-17T23:53:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.03233","created_at":"2026-05-17T23:53:41Z"},{"alias_kind":"pith_short_12","alias_value":"TNEK3NZFA7A3","created_at":"2026-05-18T12:32:53Z"},{"alias_kind":"pith_short_16","alias_value":"TNEK3NZFA7A37IXM","created_at":"2026-05-18T12:32:53Z"},{"alias_kind":"pith_short_8","alias_value":"TNEK3NZF","created_at":"2026-05-18T12:32:53Z"}],"graph_snapshots":[{"event_id":"sha256:53e0e88d0f57245f60b9911fd9c038dd18505d634761fc3b13a23c18a40d3363","target":"graph","created_at":"2026-05-17T23:53:41Z","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":"This paper focuses on the problem of \\emph{constrained} \\emph{stochastic} optimization. A zeroth order Frank-Wolfe algorithm is proposed, which in addition to the projection-free nature of the vanilla Frank-Wolfe algorithm makes it gradient free. Under convexity and smoothness assumption, we show that the proposed algorithm converges to the optimal objective function at a rate $O\\left(1/T^{1/3}\\right)$, where $T$ denotes the iteration count. In particular, the primal sub-optimality gap is shown to have a dimension dependence of $O\\left(d^{1/3}\\right)$, which is the best known dimension depende","authors_text":"Anit Kumar Sahu, Manzil Zaheer, Soummya Kar","cross_cats":["cs.LG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-10-08T00:29:43Z","title":"Towards Gradient Free and Projection Free Stochastic Optimization"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.03233","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:a4242fad40372ee224affae262ff4f04f73e71fb6a338c42d912b867777c82a3","target":"record","created_at":"2026-05-17T23:53:41Z","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":"66c2598b702807411790caa94c09f2da22e3c4bcf2311443cd0a09a15414a412","cross_cats_sorted":["cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-10-08T00:29:43Z","title_canon_sha256":"f7befbbfd8062d18673a6e628fa3b443f41f10639b734960b1f53683fd8c565d"},"schema_version":"1.0","source":{"id":"1810.03233","kind":"arxiv","version":3}},"canonical_sha256":"9b48adb72507c1bfa2ec541b267cec68ffb4b3c27a3434975477e82a82bf181f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9b48adb72507c1bfa2ec541b267cec68ffb4b3c27a3434975477e82a82bf181f","first_computed_at":"2026-05-17T23:53:41.873842Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:53:41.873842Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"b3zVipCr0mWPq2tCwinDc6p2O2qB4ybrfX4pTSiyvkye7KMfpWRyG8tn8+Zx0G9ReouLoIDU4Y5y0dz5Vzv7AA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:53:41.874359Z","signed_message":"canonical_sha256_bytes"},"source_id":"1810.03233","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a4242fad40372ee224affae262ff4f04f73e71fb6a338c42d912b867777c82a3","sha256:53e0e88d0f57245f60b9911fd9c038dd18505d634761fc3b13a23c18a40d3363"],"state_sha256":"2d2efdf6281976e5de34cdb0f525cdb0cebaae68f8aa5391de912fffea8f6d62"}