{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:6E27GWP3M5V7VNOQXYUAX44CSG","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":"7f60d8a9127e957914634ddb8a347bdfa239662fc5297633b142130a0eda01a5","cross_cats_sorted":["cs.DS","cs.LG","stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2020-06-12T08:58:03Z","title_canon_sha256":"b44b6784b1f5f5872d4dbdb34a5ead0d2a6750548d3a342ab4fa8ff74f41225c"},"schema_version":"1.0","source":{"id":"2006.07013","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2006.07013","created_at":"2026-07-05T01:09:49Z"},{"alias_kind":"arxiv_version","alias_value":"2006.07013v1","created_at":"2026-07-05T01:09:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2006.07013","created_at":"2026-07-05T01:09:49Z"},{"alias_kind":"pith_short_12","alias_value":"6E27GWP3M5V7","created_at":"2026-07-05T01:09:49Z"},{"alias_kind":"pith_short_16","alias_value":"6E27GWP3M5V7VNOQ","created_at":"2026-07-05T01:09:49Z"},{"alias_kind":"pith_short_8","alias_value":"6E27GWP3","created_at":"2026-07-05T01:09:49Z"}],"graph_snapshots":[{"event_id":"sha256:642bbb4d6f0399817301100126ac36ccf29953cd98f72512d8f0d22872c7179b","target":"graph","created_at":"2026-07-05T01:09:49Z","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/2006.07013/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we study the performance of a large family of SGD variants in the smooth nonconvex regime. To this end, we propose a generic and flexible assumption capable of accurate modeling of the second moment of the stochastic gradient. Our assumption is satisfied by a large number of specific variants of SGD in the literature, including SGD with arbitrary sampling, SGD with compressed gradients, and a wide variety of variance-reduced SGD methods such as SVRG and SAGA. We provide a single convergence analysis for all methods that satisfy the proposed unified assumption, thereby offering a","authors_text":"Peter Richt\\'arik, Zhize Li","cross_cats":["cs.DS","cs.LG","stat.ML"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2020-06-12T08:58:03Z","title":"A Unified Analysis of Stochastic Gradient Methods for Nonconvex Federated Optimization"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2006.07013","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":"sha256:6002027e348eaf02f7687acbf8f8acb97d47a3bbd194c72639cf70a343abbd55","target":"record","created_at":"2026-07-05T01:09:49Z","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":"7f60d8a9127e957914634ddb8a347bdfa239662fc5297633b142130a0eda01a5","cross_cats_sorted":["cs.DS","cs.LG","stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2020-06-12T08:58:03Z","title_canon_sha256":"b44b6784b1f5f5872d4dbdb34a5ead0d2a6750548d3a342ab4fa8ff74f41225c"},"schema_version":"1.0","source":{"id":"2006.07013","kind":"arxiv","version":1}},"canonical_sha256":"f135f359fb676bfab5d0be280bf38291b3dba9b68a902f6eddf6ab7e7fdd7bdb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f135f359fb676bfab5d0be280bf38291b3dba9b68a902f6eddf6ab7e7fdd7bdb","first_computed_at":"2026-07-05T01:09:49.077241Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:09:49.077241Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dYF2hBpK4yEUffDnlqkZntlOOKFCJNPsqBRDGqlgn488QKxVsA7iTDXS9JVoWeHegNJYNYO/JNBKVgKJ2uhNBA==","signature_status":"signed_v1","signed_at":"2026-07-05T01:09:49.077698Z","signed_message":"canonical_sha256_bytes"},"source_id":"2006.07013","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6002027e348eaf02f7687acbf8f8acb97d47a3bbd194c72639cf70a343abbd55","sha256:642bbb4d6f0399817301100126ac36ccf29953cd98f72512d8f0d22872c7179b"],"state_sha256":"33b49e94f05ebc58adce62a082f43fa4df7e9e785415cc1a3ecc011445694923"}