{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:BDH6UMC3JIWKLMHXPYAJWFN4V3","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":"523c22779d57eb7cc0b5c4a60e5d65729951e2a26f7793bf85f3b7bc5ccf2509","cross_cats_sorted":["cs.CV","stat.ML"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.LG","submitted_at":"2025-01-10T22:41:02Z","title_canon_sha256":"547f95faa11de58de068130ef62264d8e8e17a66d983ab3a3a65f3ea6539c79e"},"schema_version":"1.0","source":{"id":"2501.06368","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2501.06368","created_at":"2026-07-05T10:02:57Z"},{"alias_kind":"arxiv_version","alias_value":"2501.06368v2","created_at":"2026-07-05T10:02:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.06368","created_at":"2026-07-05T10:02:57Z"},{"alias_kind":"pith_short_12","alias_value":"BDH6UMC3JIWK","created_at":"2026-07-05T10:02:57Z"},{"alias_kind":"pith_short_16","alias_value":"BDH6UMC3JIWKLMHX","created_at":"2026-07-05T10:02:57Z"},{"alias_kind":"pith_short_8","alias_value":"BDH6UMC3","created_at":"2026-07-05T10:02:57Z"}],"graph_snapshots":[{"event_id":"sha256:80e6d54c0c0c23acd347178a6cf8edc4b4a24c8e683c8d7a60e0b264115d79c1","target":"graph","created_at":"2026-07-05T10:02:57Z","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/2501.06368/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Kernel-based subspace clustering, which addresses the nonlinear structures in data, is an evolving area of research. Despite noteworthy progressions, prevailing methodologies predominantly grapple with limitations relating to (i) the influence of predefined kernels on model performance; (ii) the difficulty of preserving the original manifold structures in the nonlinear space; (iii) the dependency of spectral-type strategies on the ideal block diagonal structure of the affinity matrix. This paper presents DKLM, a novel paradigm for kernel-induced nonlinear subspace clustering. DKLM provides a d","authors_text":"Kunpeng Xu, Lifei Chen, Shengrui Wang","cross_cats":["cs.CV","stat.ML"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.LG","submitted_at":"2025-01-10T22:41:02Z","title":"Towards Robust Nonlinear Subspace Clustering: A Kernel Learning Approach"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.06368","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":"sha256:0a1be87e457f301919890186185e4e93b3af26bdf69efd73bdf7ce84d6a91d05","target":"record","created_at":"2026-07-05T10:02:57Z","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":"523c22779d57eb7cc0b5c4a60e5d65729951e2a26f7793bf85f3b7bc5ccf2509","cross_cats_sorted":["cs.CV","stat.ML"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.LG","submitted_at":"2025-01-10T22:41:02Z","title_canon_sha256":"547f95faa11de58de068130ef62264d8e8e17a66d983ab3a3a65f3ea6539c79e"},"schema_version":"1.0","source":{"id":"2501.06368","kind":"arxiv","version":2}},"canonical_sha256":"08cfea305b4a2ca5b0f77e009b15bcaef5ea03650a8251155b6e86bb3cfac3de","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"08cfea305b4a2ca5b0f77e009b15bcaef5ea03650a8251155b6e86bb3cfac3de","first_computed_at":"2026-07-05T10:02:57.851002Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:02:57.851002Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"c99hEpgefJfYunxYHB3EtPmNeC8coZNEiNGD5FeyG+lN0FWvnPHCJ1oAtMH+O/P5lVcJsyWecA8WH1pAH730Dw==","signature_status":"signed_v1","signed_at":"2026-07-05T10:02:57.851615Z","signed_message":"canonical_sha256_bytes"},"source_id":"2501.06368","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0a1be87e457f301919890186185e4e93b3af26bdf69efd73bdf7ce84d6a91d05","sha256:80e6d54c0c0c23acd347178a6cf8edc4b4a24c8e683c8d7a60e0b264115d79c1"],"state_sha256":"7b0df4221447dc6d4bea784d77e572b81131fb660006da1e4927b8c1f8db22d3"}