{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:C4WS4TRES5QY3WKQ2B4AEKNIV7","short_pith_number":"pith:C4WS4TRE","schema_version":"1.0","canonical_sha256":"172d2e4e2497618dd950d0780229a8afe7cb33ab45c6ea78976bd37fd6357261","source":{"kind":"arxiv","id":"2506.04840","version":1},"attestation_state":"computed","paper":{"title":"Efficient randomized algorithms for the fixed Tucker-rank problem of Tucker decomposition with adaptive shifts","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"Chong Wu, Hong Yan, Maolin Che, Yimin Wei","submitted_at":"2025-06-05T10:02:26Z","abstract_excerpt":"Randomized numerical linear algebra is proved to bridge theoretical advancements to offer scalable solutions for approximating tensor decomposition. This paper introduces fast randomized algorithms for solving the fixed Tucker-rank problem of Tucker decomposition, through the integration of adaptive shifted power iterations. The proposed algorithms enhance randomized variants of truncated high-order singular value decomposition (T-HOSVD) and sequentially T-HOSVD (ST-HOSVD) by incorporating dynamic shift strategies, which accelerate convergence by refining the singular value gap and reduce the "},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2506.04840","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2025-06-05T10:02:26Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"f2387f434b1e15cea637675b60b45f0f1e965065e2cfff8b84c0ed9a068f4909","abstract_canon_sha256":"678a987fe566bca2de47c9fc0d43115741e4057090510de851a60a307ee4dba0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:16:37.635123Z","signature_b64":"tUkyuEC0/3jXiPY40tVR8nkRSjzn3gjKzwGO+qZ+re0lH0c/W8rSTKWMcMqsI0PGamUhcREKq4HhgVuO7+eICw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"172d2e4e2497618dd950d0780229a8afe7cb33ab45c6ea78976bd37fd6357261","last_reissued_at":"2026-07-05T11:16:37.634679Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:16:37.634679Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Efficient randomized algorithms for the fixed Tucker-rank problem of Tucker decomposition with adaptive shifts","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"Chong Wu, Hong Yan, Maolin Che, Yimin Wei","submitted_at":"2025-06-05T10:02:26Z","abstract_excerpt":"Randomized numerical linear algebra is proved to bridge theoretical advancements to offer scalable solutions for approximating tensor decomposition. This paper introduces fast randomized algorithms for solving the fixed Tucker-rank problem of Tucker decomposition, through the integration of adaptive shifted power iterations. The proposed algorithms enhance randomized variants of truncated high-order singular value decomposition (T-HOSVD) and sequentially T-HOSVD (ST-HOSVD) by incorporating dynamic shift strategies, which accelerate convergence by refining the singular value gap and reduce the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.04840","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/2506.04840/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2506.04840","created_at":"2026-07-05T11:16:37.634750+00:00"},{"alias_kind":"arxiv_version","alias_value":"2506.04840v1","created_at":"2026-07-05T11:16:37.634750+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.04840","created_at":"2026-07-05T11:16:37.634750+00:00"},{"alias_kind":"pith_short_12","alias_value":"C4WS4TRES5QY","created_at":"2026-07-05T11:16:37.634750+00:00"},{"alias_kind":"pith_short_16","alias_value":"C4WS4TRES5QY3WKQ","created_at":"2026-07-05T11:16:37.634750+00:00"},{"alias_kind":"pith_short_8","alias_value":"C4WS4TRE","created_at":"2026-07-05T11:16:37.634750+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/C4WS4TRES5QY3WKQ2B4AEKNIV7","json":"https://pith.science/pith/C4WS4TRES5QY3WKQ2B4AEKNIV7.json","graph_json":"https://pith.science/api/pith-number/C4WS4TRES5QY3WKQ2B4AEKNIV7/graph.json","events_json":"https://pith.science/api/pith-number/C4WS4TRES5QY3WKQ2B4AEKNIV7/events.json","paper":"https://pith.science/paper/C4WS4TRE"},"agent_actions":{"view_html":"https://pith.science/pith/C4WS4TRES5QY3WKQ2B4AEKNIV7","download_json":"https://pith.science/pith/C4WS4TRES5QY3WKQ2B4AEKNIV7.json","view_paper":"https://pith.science/paper/C4WS4TRE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2506.04840&json=true","fetch_graph":"https://pith.science/api/pith-number/C4WS4TRES5QY3WKQ2B4AEKNIV7/graph.json","fetch_events":"https://pith.science/api/pith-number/C4WS4TRES5QY3WKQ2B4AEKNIV7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/C4WS4TRES5QY3WKQ2B4AEKNIV7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/C4WS4TRES5QY3WKQ2B4AEKNIV7/action/storage_attestation","attest_author":"https://pith.science/pith/C4WS4TRES5QY3WKQ2B4AEKNIV7/action/author_attestation","sign_citation":"https://pith.science/pith/C4WS4TRES5QY3WKQ2B4AEKNIV7/action/citation_signature","submit_replication":"https://pith.science/pith/C4WS4TRES5QY3WKQ2B4AEKNIV7/action/replication_record"}},"created_at":"2026-07-05T11:16:37.634750+00:00","updated_at":"2026-07-05T11:16:37.634750+00:00"}