{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:4REZAN4WTHRTYDCKUTYUTLPCUZ","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":"849f32ce69dab4876f15c075596e4ac060f0392b8c757fa51ea4a24a281e0f7a","cross_cats_sorted":["math.ST","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2014-01-30T16:00:43Z","title_canon_sha256":"80c5677a272a873eb031095e000bf3f8faac38afbab270fc2a063a09f9b5e549"},"schema_version":"1.0","source":{"id":"1401.7898","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.7898","created_at":"2026-05-18T03:00:37Z"},{"alias_kind":"arxiv_version","alias_value":"1401.7898v1","created_at":"2026-05-18T03:00:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.7898","created_at":"2026-05-18T03:00:37Z"},{"alias_kind":"pith_short_12","alias_value":"4REZAN4WTHRT","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_16","alias_value":"4REZAN4WTHRTYDCK","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_8","alias_value":"4REZAN4W","created_at":"2026-05-18T12:28:14Z"}],"graph_snapshots":[{"event_id":"sha256:7d94685e9f029e9228e53417d5ae1085ef805a453fafeb74d4e9e47b8dfb65c8","target":"graph","created_at":"2026-05-18T03:00:37Z","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 develop a general framework for margin-based multicategory classification in metric spaces. The basic work-horse is a margin-regularized version of the nearest-neighbor classifier. We prove generalization bounds that match the state of the art in sample size $n$ and significantly improve the dependence on the number of classes $k$. Our point of departure is a nearly Bayes-optimal finite-sample risk bound independent of $k$. Although $k$-free, this bound is unregularized and non-adaptive, which motivates our main result: Rademacher and scale-sensitive margin bounds with a logarithmic depende","authors_text":"Aryeh Kontorovich, Roi Weiss","cross_cats":["math.ST","stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2014-01-30T16:00:43Z","title":"Maximum Margin Multiclass Nearest Neighbors"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.7898","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:b8e699af17b24d150d35435644dcf154103d93728e1d70ca83ca77ca56ab4e2a","target":"record","created_at":"2026-05-18T03:00:37Z","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":"849f32ce69dab4876f15c075596e4ac060f0392b8c757fa51ea4a24a281e0f7a","cross_cats_sorted":["math.ST","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2014-01-30T16:00:43Z","title_canon_sha256":"80c5677a272a873eb031095e000bf3f8faac38afbab270fc2a063a09f9b5e549"},"schema_version":"1.0","source":{"id":"1401.7898","kind":"arxiv","version":1}},"canonical_sha256":"e44990379699e33c0c4aa4f149ade2a65f4e82b0846d11de544cb4b021c48576","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e44990379699e33c0c4aa4f149ade2a65f4e82b0846d11de544cb4b021c48576","first_computed_at":"2026-05-18T03:00:37.968047Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:00:37.968047Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UGGWiYXmCnrcNeFfcMMSbSrUBaMp/5yZb02pNj4PIFgO7lhQGZ8QVRpdjfoXChTldppbygxNJcyX6/oyAO/0Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:00:37.968857Z","signed_message":"canonical_sha256_bytes"},"source_id":"1401.7898","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b8e699af17b24d150d35435644dcf154103d93728e1d70ca83ca77ca56ab4e2a","sha256:7d94685e9f029e9228e53417d5ae1085ef805a453fafeb74d4e9e47b8dfb65c8"],"state_sha256":"be979b6a71bb4e3601c9023585edbdc9c3ed0ce2831c68a3b5d5476d75287fb2"}