{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:FKT4BPDQJ3QVVL2XM57YJPXLRN","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":"61d1c06231303f70f8e31f0b004ce3f7d10d77e61717da61d017c7305bebd77e","cross_cats_sorted":["cs.LG"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.CV","submitted_at":"2021-09-09T20:40:19Z","title_canon_sha256":"1327c0e9ffe1ff79376b9f4b4322b2c7b2f8a9efc5811caa610db5a3929f450c"},"schema_version":"1.0","source":{"id":"2109.04553","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2109.04553","created_at":"2026-07-05T03:44:12Z"},{"alias_kind":"arxiv_version","alias_value":"2109.04553v2","created_at":"2026-07-05T03:44:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2109.04553","created_at":"2026-07-05T03:44:12Z"},{"alias_kind":"pith_short_12","alias_value":"FKT4BPDQJ3QV","created_at":"2026-07-05T03:44:12Z"},{"alias_kind":"pith_short_16","alias_value":"FKT4BPDQJ3QVVL2X","created_at":"2026-07-05T03:44:12Z"},{"alias_kind":"pith_short_8","alias_value":"FKT4BPDQ","created_at":"2026-07-05T03:44:12Z"}],"graph_snapshots":[{"event_id":"sha256:8dcf51222b9b775a0ff73846b9f56c7d3220531d5864f3df195d26133842365e","target":"graph","created_at":"2026-07-05T03:44:12Z","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/2109.04553/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"As an essential ingredient of modern deep learning, attention mechanism, especially self-attention, plays a vital role in the global correlation discovery. However, is hand-crafted attention irreplaceable when modeling the global context? Our intriguing finding is that self-attention is not better than the matrix decomposition (MD) model developed 20 years ago regarding the performance and computational cost for encoding the long-distance dependencies. We model the global context issue as a low-rank recovery problem and show that its optimization algorithms can help design global information b","authors_text":"Hongxu Chen, Ke Wei, Meng-Hao Guo, Xia Li, Zhengyang Geng, Zhouchen Lin","cross_cats":["cs.LG"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.CV","submitted_at":"2021-09-09T20:40:19Z","title":"Is Attention Better Than Matrix Decomposition?"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2109.04553","kind":"arxiv","version":2},"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":"sha256:9df8de5663f05ecc73b750c6bf64b4831c647d0f15d6e5b9ff246e69e0330716","target":"record","created_at":"2026-07-05T03:44:12Z","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":"61d1c06231303f70f8e31f0b004ce3f7d10d77e61717da61d017c7305bebd77e","cross_cats_sorted":["cs.LG"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.CV","submitted_at":"2021-09-09T20:40:19Z","title_canon_sha256":"1327c0e9ffe1ff79376b9f4b4322b2c7b2f8a9efc5811caa610db5a3929f450c"},"schema_version":"1.0","source":{"id":"2109.04553","kind":"arxiv","version":2}},"canonical_sha256":"2aa7c0bc704ee15aaf57677f84beeb8b555c2a7c9a5e4262ed3764f37acc9f3a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2aa7c0bc704ee15aaf57677f84beeb8b555c2a7c9a5e4262ed3764f37acc9f3a","first_computed_at":"2026-07-05T03:44:12.887062Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:44:12.887062Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RmbXXuBAB21RN8MNv3KZE/SXfbUiehWm+ULGr5px2/kWmzYzT0WpU0ytPjckjR1RflipE4Fg9gxq+rFKXYFWDg==","signature_status":"signed_v1","signed_at":"2026-07-05T03:44:12.887593Z","signed_message":"canonical_sha256_bytes"},"source_id":"2109.04553","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9df8de5663f05ecc73b750c6bf64b4831c647d0f15d6e5b9ff246e69e0330716","sha256:8dcf51222b9b775a0ff73846b9f56c7d3220531d5864f3df195d26133842365e"],"state_sha256":"90ae8e12491679626c8e30bb77a4f6ea8755b91ccc42f11d6aa820029faefb21"}