{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:QLJJ6YSG3FEP4DWPH7NSADWLTQ","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":"7fb650657b201735efb3cf547d0758a27b3ae3124ca1ed37a6ffd5fe45518fe1","cross_cats_sorted":["cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2017-07-19T18:56:04Z","title_canon_sha256":"4087dd6f7f543c1b513b18abbdb57066296062beb010c751acd0cbdf030fd433"},"schema_version":"1.0","source":{"id":"1707.06261","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.06261","created_at":"2026-05-18T00:01:39Z"},{"alias_kind":"arxiv_version","alias_value":"1707.06261v2","created_at":"2026-05-18T00:01:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.06261","created_at":"2026-05-18T00:01:39Z"},{"alias_kind":"pith_short_12","alias_value":"QLJJ6YSG3FEP","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_16","alias_value":"QLJJ6YSG3FEP4DWP","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_8","alias_value":"QLJJ6YSG","created_at":"2026-05-18T12:31:39Z"}],"graph_snapshots":[{"event_id":"sha256:74c6a11e305673cf74dc4e5662a1ae918b71b814f042f34e200f7147a17e5dea","target":"graph","created_at":"2026-05-18T00:01:39Z","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 derive high-probability finite-sample uniform rates of consistency for $k$-NN regression that are optimal up to logarithmic factors under mild assumptions. We moreover show that $k$-NN regression adapts to an unknown lower intrinsic dimension automatically. We then apply the $k$-NN regression rates to establish new results about estimating the level sets and global maxima of a function from noisy observations.","authors_text":"Heinrich Jiang","cross_cats":["cs.LG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2017-07-19T18:56:04Z","title":"Non-Asymptotic Uniform Rates of Consistency for k-NN Regression"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.06261","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":"sha256:1ce9763184ed52696135c28aef313072a813e760be3ca1cd39d45780939f6fa1","target":"record","created_at":"2026-05-18T00:01:39Z","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":"7fb650657b201735efb3cf547d0758a27b3ae3124ca1ed37a6ffd5fe45518fe1","cross_cats_sorted":["cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2017-07-19T18:56:04Z","title_canon_sha256":"4087dd6f7f543c1b513b18abbdb57066296062beb010c751acd0cbdf030fd433"},"schema_version":"1.0","source":{"id":"1707.06261","kind":"arxiv","version":2}},"canonical_sha256":"82d29f6246d948fe0ecf3fdb200ecb9c125396478c857eb974e86d1382ca801a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"82d29f6246d948fe0ecf3fdb200ecb9c125396478c857eb974e86d1382ca801a","first_computed_at":"2026-05-18T00:01:39.080819Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:01:39.080819Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+VQPi2e31wI1GM/UE6PUrOSICyvGUwJ2Qu37L8KVG+F+T+i0kRCDIAQYN0Z7KmSmeVQhUMsk0T1kuLv5aXmcCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:01:39.081266Z","signed_message":"canonical_sha256_bytes"},"source_id":"1707.06261","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1ce9763184ed52696135c28aef313072a813e760be3ca1cd39d45780939f6fa1","sha256:74c6a11e305673cf74dc4e5662a1ae918b71b814f042f34e200f7147a17e5dea"],"state_sha256":"b976270da31a009a38f067e696ef902794e43690bff9cf6911768d83de6e76ef"}