{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:GNF2PV7MYGNK2IJ5MSTECHTI6P","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":"859ae4d95766161b8d6f90ec784d581fbdc30bce90fefc822df4d5806601bd0a","cross_cats_sorted":["stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2013-11-11T19:50:51Z","title_canon_sha256":"a2f97b7169c5d1ccab2bdc2376f5924c4c980ae04d6997f7a033347e4b8a804f"},"schema_version":"1.0","source":{"id":"1311.2547","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.2547","created_at":"2026-05-18T02:46:13Z"},{"alias_kind":"arxiv_version","alias_value":"1311.2547v4","created_at":"2026-05-18T02:46:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.2547","created_at":"2026-05-18T02:46:13Z"},{"alias_kind":"pith_short_12","alias_value":"GNF2PV7MYGNK","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_16","alias_value":"GNF2PV7MYGNK2IJ5","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_8","alias_value":"GNF2PV7M","created_at":"2026-05-18T12:27:45Z"}],"graph_snapshots":[{"event_id":"sha256:ee6f7267687cf05bae585ddf340caa3ec963a5ebb328af4638ad3db0c5fe04fa","target":"graph","created_at":"2026-05-18T02:46:13Z","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":"We consider a discriminative learning (regression) problem, whereby the regression function is a convex combination of k linear classifiers. Existing approaches are based on the EM algorithm, or similar techniques, without provable guarantees. We develop a simple method based on spectral techniques and a `mirroring' trick, that discovers the subspace spanned by the classifiers' parameter vectors. Under a probabilistic assumption on the feature vector distribution, we prove that this approach has nearly optimal statistical efficiency.","authors_text":"Andrea Montanari, Stratis Ioannidis, Yuekai Sun","cross_cats":["stat.ML"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2013-11-11T19:50:51Z","title":"Learning Mixtures of Linear Classifiers"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.2547","kind":"arxiv","version":4},"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":"sha256:76975d6fe2f66ee98661bc2b9c9ccd9f536882b4da85a2fd31fb365b2b3612bf","target":"record","created_at":"2026-05-18T02:46:13Z","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":"859ae4d95766161b8d6f90ec784d581fbdc30bce90fefc822df4d5806601bd0a","cross_cats_sorted":["stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2013-11-11T19:50:51Z","title_canon_sha256":"a2f97b7169c5d1ccab2bdc2376f5924c4c980ae04d6997f7a033347e4b8a804f"},"schema_version":"1.0","source":{"id":"1311.2547","kind":"arxiv","version":4}},"canonical_sha256":"334ba7d7ecc19aad213d64a6411e68f3ca22d9cb395ec0a3305d9d8883590913","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"334ba7d7ecc19aad213d64a6411e68f3ca22d9cb395ec0a3305d9d8883590913","first_computed_at":"2026-05-18T02:46:13.013457Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:46:13.013457Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"btC6BaQEnnetyd13lebiYotU6KAZQJAF0YiONyZcddWpqpXIUYgeH6Eweku3VP3ElHfQkADnJHEsHTSBOCDnCA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:46:13.014165Z","signed_message":"canonical_sha256_bytes"},"source_id":"1311.2547","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:76975d6fe2f66ee98661bc2b9c9ccd9f536882b4da85a2fd31fb365b2b3612bf","sha256:ee6f7267687cf05bae585ddf340caa3ec963a5ebb328af4638ad3db0c5fe04fa"],"state_sha256":"9e3c93bb83bf9be9b6d7e1b94584f24dc850f9127a60c82658cdd637192e8642"}