{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:Y5NNMHSPIIYMU435RFPTI2ACMP","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":"718f8591f4c06a3230c6398045e80097ddd87d6d8a9d9acc1ddcf60446a1a5d9","cross_cats_sorted":["math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2025-06-30T12:47:10Z","title_canon_sha256":"190586bad58f7c3f934fa3e4921bf81054b8f87059b3b1375e52ef914b376c6b"},"schema_version":"1.0","source":{"id":"2506.23803","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.23803","created_at":"2026-07-05T11:29:28Z"},{"alias_kind":"arxiv_version","alias_value":"2506.23803v1","created_at":"2026-07-05T11:29:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.23803","created_at":"2026-07-05T11:29:28Z"},{"alias_kind":"pith_short_12","alias_value":"Y5NNMHSPIIYM","created_at":"2026-07-05T11:29:28Z"},{"alias_kind":"pith_short_16","alias_value":"Y5NNMHSPIIYMU435","created_at":"2026-07-05T11:29:28Z"},{"alias_kind":"pith_short_8","alias_value":"Y5NNMHSP","created_at":"2026-07-05T11:29:28Z"}],"graph_snapshots":[{"event_id":"sha256:6d1a672a6a86bae163f5e30fcbc456cbe5d4352c298e4e9c4d7efe54d055e8f6","target":"graph","created_at":"2026-07-05T11:29:28Z","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/2506.23803/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we revisit stochastic gradient descent (SGD) with AdaGrad-type preconditioning. Our contributions are twofold. First, we develop a unified convergence analysis of SGD with adaptive preconditioning under anisotropic or matrix smoothness and noise assumptions. This allows us to recover state-of-the-art convergence results for several popular adaptive gradient methods, including AdaGrad-Norm, AdaGrad, and ASGO/One-sided Shampoo. In addition, we establish the fundamental connection between two recently proposed algorithms, Scion and DASGO, and provide the first theoretical guarantee","authors_text":"Dmitry Kovalev","cross_cats":["math.OC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2025-06-30T12:47:10Z","title":"SGD with Adaptive Preconditioning: Unified Analysis and Momentum Acceleration"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.23803","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":"sha256:0ce23f066bfb8ac9eda8dcd990135ef87a65005e5cbed2b7cbc93453faf30dc0","target":"record","created_at":"2026-07-05T11:29:28Z","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":"718f8591f4c06a3230c6398045e80097ddd87d6d8a9d9acc1ddcf60446a1a5d9","cross_cats_sorted":["math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2025-06-30T12:47:10Z","title_canon_sha256":"190586bad58f7c3f934fa3e4921bf81054b8f87059b3b1375e52ef914b376c6b"},"schema_version":"1.0","source":{"id":"2506.23803","kind":"arxiv","version":1}},"canonical_sha256":"c75ad61e4f4230ca737d895f34680263c3664407a604c4e2def9fd2f76b93c83","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c75ad61e4f4230ca737d895f34680263c3664407a604c4e2def9fd2f76b93c83","first_computed_at":"2026-07-05T11:29:28.147291Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:29:28.147291Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vY1ngSr9xqwy0AgJig0Y8f5FB+009Ijxyv40MtmAEaZeSpCg/S+KLcHtaYhjONSRKampWe4nkyCdRrl5mEqAAw==","signature_status":"signed_v1","signed_at":"2026-07-05T11:29:28.147806Z","signed_message":"canonical_sha256_bytes"},"source_id":"2506.23803","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0ce23f066bfb8ac9eda8dcd990135ef87a65005e5cbed2b7cbc93453faf30dc0","sha256:6d1a672a6a86bae163f5e30fcbc456cbe5d4352c298e4e9c4d7efe54d055e8f6"],"state_sha256":"8f2b718cd60a649ac0450883125802defa3a51f4393ac3b33b934b5b2828fe76"}