{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:MW2O7OLUVLKLHP4K3BLFPEEWM6","short_pith_number":"pith:MW2O7OLU","canonical_record":{"source":{"id":"2411.19455","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2024-11-29T03:55:19Z","cross_cats_sorted":[],"title_canon_sha256":"3348254f7c7de35076eb3ab96baf6c42a3c25d09d86faea1c56e383f9ac7b560","abstract_canon_sha256":"697774447643cfbcf77981d31cc65e47d1629d3255c2bbbaaaf65cba61d25847"},"schema_version":"1.0"},"canonical_sha256":"65b4efb974aad4b3bf8ad856579096679d21c7ab156792824de8b2279e08123a","source":{"kind":"arxiv","id":"2411.19455","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.19455","created_at":"2026-07-05T09:42:02Z"},{"alias_kind":"arxiv_version","alias_value":"2411.19455v1","created_at":"2026-07-05T09:42:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.19455","created_at":"2026-07-05T09:42:02Z"},{"alias_kind":"pith_short_12","alias_value":"MW2O7OLUVLKL","created_at":"2026-07-05T09:42:02Z"},{"alias_kind":"pith_short_16","alias_value":"MW2O7OLUVLKLHP4K","created_at":"2026-07-05T09:42:02Z"},{"alias_kind":"pith_short_8","alias_value":"MW2O7OLU","created_at":"2026-07-05T09:42:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:MW2O7OLUVLKLHP4K3BLFPEEWM6","target":"record","payload":{"canonical_record":{"source":{"id":"2411.19455","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2024-11-29T03:55:19Z","cross_cats_sorted":[],"title_canon_sha256":"3348254f7c7de35076eb3ab96baf6c42a3c25d09d86faea1c56e383f9ac7b560","abstract_canon_sha256":"697774447643cfbcf77981d31cc65e47d1629d3255c2bbbaaaf65cba61d25847"},"schema_version":"1.0"},"canonical_sha256":"65b4efb974aad4b3bf8ad856579096679d21c7ab156792824de8b2279e08123a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:42:02.696836Z","signature_b64":"tVQELoNLxNkaIp3y/y0RkJhk/XARDZZE3FeB02n7jDNzd1lu4iUcM6mQJhU73nZcETmTbG5QZWxqNerFeEYlBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"65b4efb974aad4b3bf8ad856579096679d21c7ab156792824de8b2279e08123a","last_reissued_at":"2026-07-05T09:42:02.696309Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:42:02.696309Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2411.19455","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T09:42:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DNYNbihC2KwxR3Gp5UwBIfgzEB+x7LMdaaVNVf/6wjRDPpSE+Ygz/Tu3CzXAN6PpRKzZhXnApA7gYZB4ccBDDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T01:00:01.074978Z"},"content_sha256":"7ac82bdb24f87789b561625ecda665d8c8974f6afbb7cce35c541189b7201b97","schema_version":"1.0","event_id":"sha256:7ac82bdb24f87789b561625ecda665d8c8974f6afbb7cce35c541189b7201b97"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:MW2O7OLUVLKLHP4K3BLFPEEWM6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Autocorrelation Matters: Understanding the Role of Initialization Schemes for State Space Models","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"cs.LG","authors_text":"Fusheng Liu, Qianxiao Li","submitted_at":"2024-11-29T03:55:19Z","abstract_excerpt":"Current methods for initializing state space model (SSM) parameters primarily rely on the HiPPO framework \\citep{gu2023how}, which is based on online function approximation with the SSM kernel basis. However, the HiPPO framework does not explicitly account for the effects of the temporal structures of input sequences on the optimization of SSMs. In this paper, we take a further step to investigate the roles of SSM initialization schemes by considering the autocorrelation of input sequences. Specifically, we: (1) rigorously characterize the dependency of the SSM timescale on sequence length bas"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.19455","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2411.19455/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T09:42:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fwNW5d4STXqh5ZEI0N2a6TdO4t6ZsRDUje/DmF3Kd3/dDJoSRLDcV7vUFaJLaZ61DuXohReiSdVpKNLVtR23Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T01:00:01.075935Z"},"content_sha256":"d7ac729f5dfa4da97187a6cbe6d78068a7dca47daeae55715badd075eba545aa","schema_version":"1.0","event_id":"sha256:d7ac729f5dfa4da97187a6cbe6d78068a7dca47daeae55715badd075eba545aa"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MW2O7OLUVLKLHP4K3BLFPEEWM6/bundle.json","state_url":"https://pith.science/pith/MW2O7OLUVLKLHP4K3BLFPEEWM6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MW2O7OLUVLKLHP4K3BLFPEEWM6/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-13T01:00:01Z","links":{"resolver":"https://pith.science/pith/MW2O7OLUVLKLHP4K3BLFPEEWM6","bundle":"https://pith.science/pith/MW2O7OLUVLKLHP4K3BLFPEEWM6/bundle.json","state":"https://pith.science/pith/MW2O7OLUVLKLHP4K3BLFPEEWM6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MW2O7OLUVLKLHP4K3BLFPEEWM6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:MW2O7OLUVLKLHP4K3BLFPEEWM6","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":"697774447643cfbcf77981d31cc65e47d1629d3255c2bbbaaaf65cba61d25847","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2024-11-29T03:55:19Z","title_canon_sha256":"3348254f7c7de35076eb3ab96baf6c42a3c25d09d86faea1c56e383f9ac7b560"},"schema_version":"1.0","source":{"id":"2411.19455","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.19455","created_at":"2026-07-05T09:42:02Z"},{"alias_kind":"arxiv_version","alias_value":"2411.19455v1","created_at":"2026-07-05T09:42:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.19455","created_at":"2026-07-05T09:42:02Z"},{"alias_kind":"pith_short_12","alias_value":"MW2O7OLUVLKL","created_at":"2026-07-05T09:42:02Z"},{"alias_kind":"pith_short_16","alias_value":"MW2O7OLUVLKLHP4K","created_at":"2026-07-05T09:42:02Z"},{"alias_kind":"pith_short_8","alias_value":"MW2O7OLU","created_at":"2026-07-05T09:42:02Z"}],"graph_snapshots":[{"event_id":"sha256:d7ac729f5dfa4da97187a6cbe6d78068a7dca47daeae55715badd075eba545aa","target":"graph","created_at":"2026-07-05T09:42:02Z","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/2411.19455/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Current methods for initializing state space model (SSM) parameters primarily rely on the HiPPO framework \\citep{gu2023how}, which is based on online function approximation with the SSM kernel basis. However, the HiPPO framework does not explicitly account for the effects of the temporal structures of input sequences on the optimization of SSMs. In this paper, we take a further step to investigate the roles of SSM initialization schemes by considering the autocorrelation of input sequences. Specifically, we: (1) rigorously characterize the dependency of the SSM timescale on sequence length bas","authors_text":"Fusheng Liu, Qianxiao Li","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2024-11-29T03:55:19Z","title":"Autocorrelation Matters: Understanding the Role of Initialization Schemes for State Space Models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.19455","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":"sha256:7ac82bdb24f87789b561625ecda665d8c8974f6afbb7cce35c541189b7201b97","target":"record","created_at":"2026-07-05T09:42:02Z","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":"697774447643cfbcf77981d31cc65e47d1629d3255c2bbbaaaf65cba61d25847","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2024-11-29T03:55:19Z","title_canon_sha256":"3348254f7c7de35076eb3ab96baf6c42a3c25d09d86faea1c56e383f9ac7b560"},"schema_version":"1.0","source":{"id":"2411.19455","kind":"arxiv","version":1}},"canonical_sha256":"65b4efb974aad4b3bf8ad856579096679d21c7ab156792824de8b2279e08123a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"65b4efb974aad4b3bf8ad856579096679d21c7ab156792824de8b2279e08123a","first_computed_at":"2026-07-05T09:42:02.696309Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:42:02.696309Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tVQELoNLxNkaIp3y/y0RkJhk/XARDZZE3FeB02n7jDNzd1lu4iUcM6mQJhU73nZcETmTbG5QZWxqNerFeEYlBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T09:42:02.696836Z","signed_message":"canonical_sha256_bytes"},"source_id":"2411.19455","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7ac82bdb24f87789b561625ecda665d8c8974f6afbb7cce35c541189b7201b97","sha256:d7ac729f5dfa4da97187a6cbe6d78068a7dca47daeae55715badd075eba545aa"],"state_sha256":"3f3ef75d733d88806d0cd4e9e44f80f78256f2e437db7f3ef5d988a3cbd51010"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iSlXbV1l+Dkgr3uMlO7gyT+z4/zejdWM1HCcZC+IIcjMFJSl2UJlvjFRB4u1pqllZ/ymyNsa8TIZ6UGkUCdsAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-13T01:00:01.091678Z","bundle_sha256":"6f7c9665fbe3d989988004d186307fb5ad10b1a214202409d057a61eac492fbb"}}