{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:4K7ZUWB2ADGDCRB7ODDITVUCDX","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":"72767644eae84ecb9602ec27877eb0bde646c6eb54cb4ee8e6ba1fba6ff6b03e","cross_cats_sorted":["econ.EM","math.ST","stat.ML","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2019-01-11T19:22:48Z","title_canon_sha256":"9e53f7b8ece355ff624bbfdadcaa135151189e15de33b56e169e57300448667f"},"schema_version":"1.0","source":{"id":"1901.03719","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1901.03719","created_at":"2026-05-17T23:43:09Z"},{"alias_kind":"arxiv_version","alias_value":"1901.03719v3","created_at":"2026-05-17T23:43:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.03719","created_at":"2026-05-17T23:43:09Z"},{"alias_kind":"pith_short_12","alias_value":"4K7ZUWB2ADGD","created_at":"2026-05-18T12:33:10Z"},{"alias_kind":"pith_short_16","alias_value":"4K7ZUWB2ADGDCRB7","created_at":"2026-05-18T12:33:10Z"},{"alias_kind":"pith_short_8","alias_value":"4K7ZUWB2","created_at":"2026-05-18T12:33:10Z"}],"graph_snapshots":[{"event_id":"sha256:b6e326a482f8d55daa8b19c9da80319b3da601883f1936c8e0f6503310b4da67","target":"graph","created_at":"2026-05-17T23:43:09Z","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 non-parametric estimation and inference of conditional moment models in high dimensions. We show that even when the dimension $D$ of the conditioning variable is larger than the sample size $n$, estimation and inference is feasible as long as the distribution of the conditioning variable has small intrinsic dimension $d$, as measured by locally low doubling measures. Our estimation is based on a sub-sampled ensemble of the $k$-nearest neighbors ($k$-NN) $Z$-estimator. We show that if the intrinsic dimension of the covariate distribution is equal to $d$, then the finite sample estim","authors_text":"Greg Lewis, Khashayar Khosravi, Vasilis Syrgkanis","cross_cats":["econ.EM","math.ST","stat.ML","stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2019-01-11T19:22:48Z","title":"Non-Parametric Inference Adaptive to Intrinsic Dimension"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.03719","kind":"arxiv","version":3},"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":"sha256:59bfdcaf5d2e0c1bf1d193d8edaa51b2ce4e4b09d4d1709e6e8a794705b670d6","target":"record","created_at":"2026-05-17T23:43:09Z","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":"72767644eae84ecb9602ec27877eb0bde646c6eb54cb4ee8e6ba1fba6ff6b03e","cross_cats_sorted":["econ.EM","math.ST","stat.ML","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2019-01-11T19:22:48Z","title_canon_sha256":"9e53f7b8ece355ff624bbfdadcaa135151189e15de33b56e169e57300448667f"},"schema_version":"1.0","source":{"id":"1901.03719","kind":"arxiv","version":3}},"canonical_sha256":"e2bf9a583a00cc31443f70c689d6821df527a3ea8145f6843e890cc1c0edca02","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e2bf9a583a00cc31443f70c689d6821df527a3ea8145f6843e890cc1c0edca02","first_computed_at":"2026-05-17T23:43:09.161303Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:43:09.161303Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Aq5owjrbdHKdSjCxfgvTTuoEJqmP8fJh/fGSnS/HHRDjlED37BX39xhWDpAEGAfN7YJl/O8NMlXBtwo5EXMFAg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:43:09.161775Z","signed_message":"canonical_sha256_bytes"},"source_id":"1901.03719","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:59bfdcaf5d2e0c1bf1d193d8edaa51b2ce4e4b09d4d1709e6e8a794705b670d6","sha256:b6e326a482f8d55daa8b19c9da80319b3da601883f1936c8e0f6503310b4da67"],"state_sha256":"86c115485c910cb62357bfda48bcdc7ab383aa37cc1b349d71a089377514b8f8"}