{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:3GXZXNDT6JOFZM6A3NFVFX2PEU","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":"99b67e552c9ed73c62e3ceca7c89b71474a530f3909da52975b38f3c2a2e6e36","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2024-05-04T13:58:03Z","title_canon_sha256":"df02265f0729678281cd5a942d4f59b6bbd349df95819ca3c41e986d9ee8c4ba"},"schema_version":"1.0","source":{"id":"2405.02670","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2405.02670","created_at":"2026-07-05T08:15:51Z"},{"alias_kind":"arxiv_version","alias_value":"2405.02670v1","created_at":"2026-07-05T08:15:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2405.02670","created_at":"2026-07-05T08:15:51Z"},{"alias_kind":"pith_short_12","alias_value":"3GXZXNDT6JOF","created_at":"2026-07-05T08:15:51Z"},{"alias_kind":"pith_short_16","alias_value":"3GXZXNDT6JOFZM6A","created_at":"2026-07-05T08:15:51Z"},{"alias_kind":"pith_short_8","alias_value":"3GXZXNDT","created_at":"2026-07-05T08:15:51Z"}],"graph_snapshots":[{"event_id":"sha256:17e02fa3603f7da20ffdbd7849e9237023a672bbe9f5a0c5caf43df74a54623e","target":"graph","created_at":"2026-07-05T08:15:51Z","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/2405.02670/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"A State Space Model (SSM) is a foundation model in time series analysis, which has recently been shown as an alternative to transformers in sequence modeling. In this paper, we theoretically study the generalization of SSMs and propose improvements to training algorithms based on the generalization results. Specifically, we give a \\textit{data-dependent} generalization bound for SSMs, showing an interplay between the SSM parameters and the temporal dependencies of the training sequences. Leveraging the generalization bound, we (1) set up a scaling rule for model initialization based on the pro","authors_text":"Fusheng Liu, Qianxiao Li","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2024-05-04T13:58:03Z","title":"From Generalization Analysis to Optimization Designs for State Space Models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2405.02670","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:c4a3c1ea68a6cff678f41cbd83fc108f525300a0c5cee96d0f0069fe0906b9f8","target":"record","created_at":"2026-07-05T08:15:51Z","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":"99b67e552c9ed73c62e3ceca7c89b71474a530f3909da52975b38f3c2a2e6e36","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2024-05-04T13:58:03Z","title_canon_sha256":"df02265f0729678281cd5a942d4f59b6bbd349df95819ca3c41e986d9ee8c4ba"},"schema_version":"1.0","source":{"id":"2405.02670","kind":"arxiv","version":1}},"canonical_sha256":"d9af9bb473f25c5cb3c0db4b52df4f251eae842c8e9c0f78e47510dfe1c95314","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d9af9bb473f25c5cb3c0db4b52df4f251eae842c8e9c0f78e47510dfe1c95314","first_computed_at":"2026-07-05T08:15:51.759683Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:15:51.759683Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"P6IFGprFwwzR4EADam+tJ7GOaKonpFw5k4SRqsFs3D1FxhSXqhyHIECQoHSM9VnZQbFgSSF5VwUaGAqBlRKAAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T08:15:51.760074Z","signed_message":"canonical_sha256_bytes"},"source_id":"2405.02670","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c4a3c1ea68a6cff678f41cbd83fc108f525300a0c5cee96d0f0069fe0906b9f8","sha256:17e02fa3603f7da20ffdbd7849e9237023a672bbe9f5a0c5caf43df74a54623e"],"state_sha256":"e62f127f4f92df85a8d8c5483863cee4634a1085c92e7342e4179cc533b17dd0"}