{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:SQ357P77CVTZH3LJKCSC6K2346","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":"e400c0b52ff44946c5e03ca1cf75bd4bef5e14cb20bd6a715dfa5c8bfbf120b6","cross_cats_sorted":["stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2013-03-06T09:23:45Z","title_canon_sha256":"67175e9057fb15c25819a4df4dce73dc6bc08803344a1df58c90419832b5456c"},"schema_version":"1.0","source":{"id":"1303.1280","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.1280","created_at":"2026-05-18T03:31:43Z"},{"alias_kind":"arxiv_version","alias_value":"1303.1280v1","created_at":"2026-05-18T03:31:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.1280","created_at":"2026-05-18T03:31:43Z"},{"alias_kind":"pith_short_12","alias_value":"SQ357P77CVTZ","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_16","alias_value":"SQ357P77CVTZH3LJ","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_8","alias_value":"SQ357P77","created_at":"2026-05-18T12:27:59Z"}],"graph_snapshots":[{"event_id":"sha256:c1da3ff029bc85164fcadec92360d7f284915457be41f9cd780fb03ae18c1f4e","target":"graph","created_at":"2026-05-18T03:31:43Z","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"},"paper":{"abstract_excerpt":"In this paper, we consider unsupervised partitioning problems, such as clustering, image segmentation, video segmentation and other change-point detection problems. We focus on partitioning problems based explicitly or implicitly on the minimization of Euclidean distortions, which include mean-based change-point detection, K-means, spectral clustering and normalized cuts. Our main goal is to learn a Mahalanobis metric for these unsupervised problems, leading to feature weighting and/or selection. This is done in a supervised way by assuming the availability of several potentially partially lab","authors_text":"Francis Bach (LIENS), R\\'emi Lajugie (LIENS), Sylvain Arlot (LIENS)","cross_cats":["stat.ML"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2013-03-06T09:23:45Z","title":"Large-Margin Metric Learning for Partitioning Problems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.1280","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":"sha256:6a1951913cf09385f858b2be9989506afd0f3444a163d632b5a3ad9093185def","target":"record","created_at":"2026-05-18T03:31:43Z","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":"e400c0b52ff44946c5e03ca1cf75bd4bef5e14cb20bd6a715dfa5c8bfbf120b6","cross_cats_sorted":["stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2013-03-06T09:23:45Z","title_canon_sha256":"67175e9057fb15c25819a4df4dce73dc6bc08803344a1df58c90419832b5456c"},"schema_version":"1.0","source":{"id":"1303.1280","kind":"arxiv","version":1}},"canonical_sha256":"9437dfbfff156793ed6950a42f2b5be7b89f530e1e9749dda6fee8198cb91639","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9437dfbfff156793ed6950a42f2b5be7b89f530e1e9749dda6fee8198cb91639","first_computed_at":"2026-05-18T03:31:43.995839Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:31:43.995839Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"K7PhfPQWsCt7gWLjau67KjV0vFA72Ym/YPx0jdcb7fXB0IaobaofhZeE8TQh2lwIzg1Troatr2csq6tXxdfnDA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:31:43.996652Z","signed_message":"canonical_sha256_bytes"},"source_id":"1303.1280","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6a1951913cf09385f858b2be9989506afd0f3444a163d632b5a3ad9093185def","sha256:c1da3ff029bc85164fcadec92360d7f284915457be41f9cd780fb03ae18c1f4e"],"state_sha256":"1c7da6f994227708ca81779da2c4d356fb54c2beb34bc8b50fc0f7551677ef1b"}