{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:63O7EKEDYI4NFB6SGCML2L6XVG","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":"2263af6eaef2c52dda8ae0029d12a253b02f07de9d9f76c99d6f4ff55648fec7","cross_cats_sorted":["stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2013-04-19T18:51:07Z","title_canon_sha256":"92047a32ec4407bbeb060926adca51d8909ae253441097c154edc452907805cf"},"schema_version":"1.0","source":{"id":"1304.5504","kind":"arxiv","version":6}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.5504","created_at":"2026-05-18T01:14:09Z"},{"alias_kind":"arxiv_version","alias_value":"1304.5504v6","created_at":"2026-05-18T01:14:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.5504","created_at":"2026-05-18T01:14:09Z"},{"alias_kind":"pith_short_12","alias_value":"63O7EKEDYI4N","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_16","alias_value":"63O7EKEDYI4NFB6S","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_8","alias_value":"63O7EKED","created_at":"2026-05-18T12:27:34Z"}],"graph_snapshots":[{"event_id":"sha256:802d469bc0ea324adb3f8de741ab9e071c03f09dd476c5444f7afdb9b5e7cd11","target":"graph","created_at":"2026-05-18T01:14:09Z","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":"We consider stochastic strongly convex optimization with a complex inequality constraint. This complex inequality constraint may lead to computationally expensive projections in algorithmic iterations of the stochastic gradient descent~(SGD) methods. To reduce the computation costs pertaining to the projections, we propose an Epoch-Projection Stochastic Gradient Descent~(Epro-SGD) method. The proposed Epro-SGD method consists of a sequence of epochs; it applies SGD to an augmented objective function at each iteration within the epoch, and then performs a projection at the end of each epoch. Gi","authors_text":"Jianhui Chen, Lijun Zhang, Qihang Lin, Tianbao Yang, Yi Chang","cross_cats":["stat.ML"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2013-04-19T18:51:07Z","title":"Optimal Stochastic Strongly Convex Optimization with a Logarithmic Number of Projections"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.5504","kind":"arxiv","version":6},"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":"sha256:0b2aff8eae8fead90acb8c716861817380ac8ac288a8e38b3ecd0bea8ac27416","target":"record","created_at":"2026-05-18T01:14:09Z","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":"2263af6eaef2c52dda8ae0029d12a253b02f07de9d9f76c99d6f4ff55648fec7","cross_cats_sorted":["stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2013-04-19T18:51:07Z","title_canon_sha256":"92047a32ec4407bbeb060926adca51d8909ae253441097c154edc452907805cf"},"schema_version":"1.0","source":{"id":"1304.5504","kind":"arxiv","version":6}},"canonical_sha256":"f6ddf22883c238d287d23098bd2fd7a9997bc92edcb6b35783c25bb8c1775866","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f6ddf22883c238d287d23098bd2fd7a9997bc92edcb6b35783c25bb8c1775866","first_computed_at":"2026-05-18T01:14:09.652930Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:14:09.652930Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hjhMFT228WCK7bv5rqhydsX/of2bStXlH10UCyWgzcZ2/LOdIPBW0qWtip/jx1V6wxtxdOGweuPUBa4CR5lbCg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:14:09.653449Z","signed_message":"canonical_sha256_bytes"},"source_id":"1304.5504","source_kind":"arxiv","source_version":6}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0b2aff8eae8fead90acb8c716861817380ac8ac288a8e38b3ecd0bea8ac27416","sha256:802d469bc0ea324adb3f8de741ab9e071c03f09dd476c5444f7afdb9b5e7cd11"],"state_sha256":"0bb58af10fbb295c5e8c66ec8fb347fdfec9e3dce72bd357e1cfe6e992ba3c12"}