{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:LWFVX7XOSJZ56PE3PRC5LAUKB4","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":"a2a48aa091688310b595937d3076a4a99d5fe89907f82cd68b5d88c06ea2b86a","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2010-01-28T14:06:48Z","title_canon_sha256":"43523d7f34e1492cb2b3059083a97915cd6b15cd434d7bb879452559e23102b6"},"schema_version":"1.0","source":{"id":"1001.5176","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1001.5176","created_at":"2026-05-18T04:04:53Z"},{"alias_kind":"arxiv_version","alias_value":"1001.5176v3","created_at":"2026-05-18T04:04:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1001.5176","created_at":"2026-05-18T04:04:53Z"},{"alias_kind":"pith_short_12","alias_value":"LWFVX7XOSJZ5","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_16","alias_value":"LWFVX7XOSJZ56PE3","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_8","alias_value":"LWFVX7XO","created_at":"2026-05-18T12:26:10Z"}],"graph_snapshots":[{"event_id":"sha256:a94fa631cc39660086ae000bce61c997e86875843deff803e8e0a30e4cf9e3c5","target":"graph","created_at":"2026-05-18T04:04:53Z","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 revisit the adaptive Lasso as well as the thresholded Lasso with refitting, in a high-dimensional linear model, and study prediction error, $\\ell_q$-error ($q \\in \\{1, 2 \\} $), and number of false positive selections. Our theoretical results for the two methods are, at a rather fine scale, comparable. The differences only show up in terms of the (minimal) restricted and sparse eigenvalues, favoring thresholding over the adaptive Lasso. As regards prediction and estimation, the difference is virtually negligible, but our bound for the number of false positives is larger for the adaptive Lass","authors_text":"Peter Buhlmann, Sara van de Geer, Shuheng Zhou","cross_cats":["stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2010-01-28T14:06:48Z","title":"The adaptive and the thresholded Lasso for potentially misspecified models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1001.5176","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":"sha256:2dc6df1b03ded2cd856e189e9ab4d5d1b4d41b22b3fd0f424856fc2cbb7915b8","target":"record","created_at":"2026-05-18T04:04:53Z","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":"a2a48aa091688310b595937d3076a4a99d5fe89907f82cd68b5d88c06ea2b86a","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2010-01-28T14:06:48Z","title_canon_sha256":"43523d7f34e1492cb2b3059083a97915cd6b15cd434d7bb879452559e23102b6"},"schema_version":"1.0","source":{"id":"1001.5176","kind":"arxiv","version":3}},"canonical_sha256":"5d8b5bfeee9273df3c9b7c45d5828a0f07a1513f455bc4d95d8de6569059b25c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5d8b5bfeee9273df3c9b7c45d5828a0f07a1513f455bc4d95d8de6569059b25c","first_computed_at":"2026-05-18T04:04:53.605190Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:04:53.605190Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1Xwgx5S8DPCZZHZHLOOTDX92R0LAlj0eaJu1wJKHl3yIzd8GbwMw4V6+ReSihMvFapA8KlAjB1jT6RWG8N69Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:04:53.605977Z","signed_message":"canonical_sha256_bytes"},"source_id":"1001.5176","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2dc6df1b03ded2cd856e189e9ab4d5d1b4d41b22b3fd0f424856fc2cbb7915b8","sha256:a94fa631cc39660086ae000bce61c997e86875843deff803e8e0a30e4cf9e3c5"],"state_sha256":"addd60d60ce629efceaaafd6630e9f21d127f3eb9f10185386da291aa10187ce"}