{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:FUS5XC5ETGCHPCJUJFON44DSEU","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":"787f2474f3b0c7b7f5fd44770549498025690d1eeab73b51293859f6b2cd09ab","cross_cats_sorted":["cs.DS","cs.LG","stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-09-12T03:35:29Z","title_canon_sha256":"98db2a163eab49926a6a0635bb035aa0655235da958381b3d6c40375de93aeef"},"schema_version":"1.0","source":{"id":"1609.03261","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.03261","created_at":"2026-05-17T23:46:06Z"},{"alias_kind":"arxiv_version","alias_value":"1609.03261v3","created_at":"2026-05-17T23:46:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.03261","created_at":"2026-05-17T23:46:06Z"},{"alias_kind":"pith_short_12","alias_value":"FUS5XC5ETGCH","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_16","alias_value":"FUS5XC5ETGCHPCJU","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_8","alias_value":"FUS5XC5E","created_at":"2026-05-18T12:30:15Z"}],"graph_snapshots":[{"event_id":"sha256:966eeba7378a5033139aa86666f412e38390c7734ad7120fec6033bc7666b5d7","target":"graph","created_at":"2026-05-17T23:46:06Z","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 develop and analyze a procedure for gradient-based optimization that we refer to as stochastically controlled stochastic gradient (SCSG). As a member of the SVRG family of algorithms, SCSG makes use of gradient estimates at two scales, with the number of updates at the faster scale being governed by a geometric random variable. Unlike most existing algorithms in this family, both the computation cost and the communication cost of SCSG do not necessarily scale linearly with the sample size $n$; indeed, these costs are independent of $n$ when the target accuracy is low. An experimental evalua","authors_text":"Lihua Lei, Michael I. Jordan","cross_cats":["cs.DS","cs.LG","stat.ML"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-09-12T03:35:29Z","title":"Less than a Single Pass: Stochastically Controlled Stochastic Gradient Method"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.03261","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:fef6c57bf81ac19e39920af6fcb7e71d6fd40a3165ed58b9b7048dd41211b220","target":"record","created_at":"2026-05-17T23:46:06Z","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":"787f2474f3b0c7b7f5fd44770549498025690d1eeab73b51293859f6b2cd09ab","cross_cats_sorted":["cs.DS","cs.LG","stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2016-09-12T03:35:29Z","title_canon_sha256":"98db2a163eab49926a6a0635bb035aa0655235da958381b3d6c40375de93aeef"},"schema_version":"1.0","source":{"id":"1609.03261","kind":"arxiv","version":3}},"canonical_sha256":"2d25db8ba49984778934495cde70722524f271ec1c99e472ae2c3d850f0432bd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2d25db8ba49984778934495cde70722524f271ec1c99e472ae2c3d850f0432bd","first_computed_at":"2026-05-17T23:46:06.729575Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:46:06.729575Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"j8ScQBDXWho00rFlEo7Pb1bi1Qv3S5103qnatZQRV5WxkvTE96qWA0/7MjCrkbgrXdzTXDLIyL5Cyc74YN94Cg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:46:06.730098Z","signed_message":"canonical_sha256_bytes"},"source_id":"1609.03261","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fef6c57bf81ac19e39920af6fcb7e71d6fd40a3165ed58b9b7048dd41211b220","sha256:966eeba7378a5033139aa86666f412e38390c7734ad7120fec6033bc7666b5d7"],"state_sha256":"21332fe404b3ba3976c9e800b3748a67e87e1d46b75c9d8a5af7bf454c788168"}