{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:HBPM7QYMYZGPEDGQS2FS3DEAFA","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":"c05be0710c4721748735a7e80878b62c5cc432f251e19ddd9270618fc8db569f","cross_cats_sorted":["stat.TH"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.ST","submitted_at":"2021-01-15T20:13:00Z","title_canon_sha256":"ba076880c787cebd79d8015632f7b242c5469d8f08f7927671154560024bb385"},"schema_version":"1.0","source":{"id":"2101.06290","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2101.06290","created_at":"2026-07-05T02:54:16Z"},{"alias_kind":"arxiv_version","alias_value":"2101.06290v3","created_at":"2026-07-05T02:54:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2101.06290","created_at":"2026-07-05T02:54:16Z"},{"alias_kind":"pith_short_12","alias_value":"HBPM7QYMYZGP","created_at":"2026-07-05T02:54:16Z"},{"alias_kind":"pith_short_16","alias_value":"HBPM7QYMYZGPEDGQ","created_at":"2026-07-05T02:54:16Z"},{"alias_kind":"pith_short_8","alias_value":"HBPM7QYM","created_at":"2026-07-05T02:54:16Z"}],"graph_snapshots":[{"event_id":"sha256:a91050a3d142c076da4c4b3d557860839bc7abd1f0eb878501404b549bba70f1","target":"graph","created_at":"2026-07-05T02:54:16Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2101.06290/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Asymptotic efficiency of targeted maximum likelihood estimators (TMLE) of target features of the data distribution relies on a a second order remainder being asymptotically negligible. In previous work we proposed a nonparametric MLE termed Highly Adaptive Lasso (HAL) which parametrizes the relevant functional of the data distribution in terms of a multivariate real valued cadlag function that is assumed to have finite variation norm. We showed that the HAL-MLE converges in Kullback-Leibler dissimilarity at a rate n-1/3 up till logn factors. Therefore, by using HAL as initial density estimator","authors_text":"Lars van der Laan, Mark van der Laan, Zeyi Wang","cross_cats":["stat.TH"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.ST","submitted_at":"2021-01-15T20:13:00Z","title":"Higher Order Targeted Maximum Likelihood Estimation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2101.06290","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:bd155610b3a4cc994e3a088889c2db888ce8290dd18afb493b4d5c55e829b06b","target":"record","created_at":"2026-07-05T02:54:16Z","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":"c05be0710c4721748735a7e80878b62c5cc432f251e19ddd9270618fc8db569f","cross_cats_sorted":["stat.TH"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.ST","submitted_at":"2021-01-15T20:13:00Z","title_canon_sha256":"ba076880c787cebd79d8015632f7b242c5469d8f08f7927671154560024bb385"},"schema_version":"1.0","source":{"id":"2101.06290","kind":"arxiv","version":3}},"canonical_sha256":"385ecfc30cc64cf20cd0968b2d8c80280172b57efdbcf7b58802a48b5d4e4123","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"385ecfc30cc64cf20cd0968b2d8c80280172b57efdbcf7b58802a48b5d4e4123","first_computed_at":"2026-07-05T02:54:16.030870Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:54:16.030870Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WyKSMcErjkCAs+TknyofMgvdkwukzdEymOoKTibq57xI9RTcTrDbUQeYDEnUZ3aQIDpYq60Lvh0iyOkpkVSzDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T02:54:16.031351Z","signed_message":"canonical_sha256_bytes"},"source_id":"2101.06290","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bd155610b3a4cc994e3a088889c2db888ce8290dd18afb493b4d5c55e829b06b","sha256:a91050a3d142c076da4c4b3d557860839bc7abd1f0eb878501404b549bba70f1"],"state_sha256":"59cad8d7949c97237f389ff335ef9f4532cc7efa9d8115ab3200ec736e9f93fe"}