{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:S2M5YRP54HFH47S7RFZ7C4HISC","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":"234e048e1a203c2fab011a4e797eb3a3ec517fa80269ef6054627ad83acc2db1","cross_cats_sorted":["cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-12-28T14:00:13Z","title_canon_sha256":"0cb6d2dd3fa2a1f220bd49dcbc1184b53f488a60f55373bf77c57e41b512edc4"},"schema_version":"1.0","source":{"id":"1812.10995","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.10995","created_at":"2026-07-05T02:00:08Z"},{"alias_kind":"arxiv_version","alias_value":"1812.10995v5","created_at":"2026-07-05T02:00:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.10995","created_at":"2026-07-05T02:00:08Z"},{"alias_kind":"pith_short_12","alias_value":"S2M5YRP54HFH","created_at":"2026-07-05T02:00:08Z"},{"alias_kind":"pith_short_16","alias_value":"S2M5YRP54HFH47S7","created_at":"2026-07-05T02:00:08Z"},{"alias_kind":"pith_short_8","alias_value":"S2M5YRP5","created_at":"2026-07-05T02:00:08Z"}],"graph_snapshots":[{"event_id":"sha256:b449cce1f542936f396e7ce27516fe837bee6551565349470ddbb0484fbf2637","target":"graph","created_at":"2026-07-05T02:00:08Z","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/1812.10995/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We analyze the effect of synchronization on distributed stochastic gradient algorithms. By exploiting an analogy with dynamical models of biological quorum sensing - where synchronization between agents is induced through communication with a common signal - we quantify how synchronization can significantly reduce the magnitude of the noise felt by the individual distributed agents and by their spatial mean. This noise reduction is in turn associated with a reduction in the smoothing of the loss function imposed by the stochastic gradient approximation. Through simulations on model non-convex ","authors_text":"Jean-Jacques E. Slotine, Nicholas M. Boffi","cross_cats":["cs.LG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-12-28T14:00:13Z","title":"A continuous-time analysis of distributed stochastic gradient"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.10995","kind":"arxiv","version":5},"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:aa545c3158697377eaa1b82defcecb6fe29caa7f4fb45f08f17eff42945aa0d5","target":"record","created_at":"2026-07-05T02:00:08Z","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":"234e048e1a203c2fab011a4e797eb3a3ec517fa80269ef6054627ad83acc2db1","cross_cats_sorted":["cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-12-28T14:00:13Z","title_canon_sha256":"0cb6d2dd3fa2a1f220bd49dcbc1184b53f488a60f55373bf77c57e41b512edc4"},"schema_version":"1.0","source":{"id":"1812.10995","kind":"arxiv","version":5}},"canonical_sha256":"9699dc45fde1ca7e7e5f8973f170e890bf07c225f822b05bc84f270ea432d5c9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9699dc45fde1ca7e7e5f8973f170e890bf07c225f822b05bc84f270ea432d5c9","first_computed_at":"2026-07-05T02:00:08.349376Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:00:08.349376Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cjuQvrgH47hQnz9OTIGkVpgLRRY3/43qenIuX4UgujozpqjoOUuhu7m1e5pRRu6Wn6i1v5+VpYdAWWpd+C+bBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T02:00:08.349966Z","signed_message":"canonical_sha256_bytes"},"source_id":"1812.10995","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:aa545c3158697377eaa1b82defcecb6fe29caa7f4fb45f08f17eff42945aa0d5","sha256:b449cce1f542936f396e7ce27516fe837bee6551565349470ddbb0484fbf2637"],"state_sha256":"1d8c6524ec0c524de6116d6ab708a4a7e068862490ee15527f5ed925f3436588"}