{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:2D76NKWDQNJQBQRE7OB2W7NWIT","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":"8656f708ab5669ccc4e7757afd3193c74b8333f6474381e2f80f54aa5ee6a936","cross_cats_sorted":["stat.ML","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2009-01-14T15:34:13Z","title_canon_sha256":"65f845d01b4b7e1967664889350425f3d6f13599ceaf5ebb8bd303cd25cd2bc7"},"schema_version":"1.0","source":{"id":"0901.2044","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0901.2044","created_at":"2026-05-18T04:38:59Z"},{"alias_kind":"arxiv_version","alias_value":"0901.2044v2","created_at":"2026-05-18T04:38:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0901.2044","created_at":"2026-05-18T04:38:59Z"},{"alias_kind":"pith_short_12","alias_value":"2D76NKWDQNJQ","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"2D76NKWDQNJQBQRE","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"2D76NKWD","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:6ffcbc1c637436c3ea2042de4d1078c8fcde460d6e7f5767b5f426bbde101cc1","target":"graph","created_at":"2026-05-18T04:38:59Z","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":"This paper studies sparse density estimation via $\\ell_1$ penalization (SPADES). We focus on estimation in high-dimensional mixture models and nonparametric adaptive density estimation. We show, respectively, that SPADES can recover, with high probability, the unknown components of a mixture of probability densities and that it yields minimax adaptive density estimates. These results are based on a general sparsity oracle inequality that the SPADES estimates satisfy. We offer a data driven method for the choice of the tuning parameter used in the construction of SPADES. The method uses the gen","authors_text":"Adrian Barbu, Alexandre B. Tsybakov, Florentina Bunea, Marten H. Wegkamp","cross_cats":["stat.ML","stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2009-01-14T15:34:13Z","title":"SPADES and mixture models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0901.2044","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":"sha256:1f5e37aeba7323b9ec3bf666b46758a096cfef5c275bfd5eaf73e8934fcfb35d","target":"record","created_at":"2026-05-18T04:38:59Z","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":"8656f708ab5669ccc4e7757afd3193c74b8333f6474381e2f80f54aa5ee6a936","cross_cats_sorted":["stat.ML","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2009-01-14T15:34:13Z","title_canon_sha256":"65f845d01b4b7e1967664889350425f3d6f13599ceaf5ebb8bd303cd25cd2bc7"},"schema_version":"1.0","source":{"id":"0901.2044","kind":"arxiv","version":2}},"canonical_sha256":"d0ffe6aac3835300c224fb83ab7db644c7ff8175346f0d882f7063ab4638be77","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d0ffe6aac3835300c224fb83ab7db644c7ff8175346f0d882f7063ab4638be77","first_computed_at":"2026-05-18T04:38:59.390355Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:38:59.390355Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8cy8ZiwlZoJjxX2Oe9hvEf1O8tTyllvLE3o8vY66eWAN0CXRke8O4/CCqfMUuhLJyyX/zOa8W6HWWpVHvi5YCg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:38:59.390773Z","signed_message":"canonical_sha256_bytes"},"source_id":"0901.2044","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1f5e37aeba7323b9ec3bf666b46758a096cfef5c275bfd5eaf73e8934fcfb35d","sha256:6ffcbc1c637436c3ea2042de4d1078c8fcde460d6e7f5767b5f426bbde101cc1"],"state_sha256":"15300d0eec1aecc6b7eac3b6acbd3e591d4f2101140adc137070fa9e600dd2da"}