{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:BSUWN55BNHUUB4KVCZG27KMCSA","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":"62548cb69f2d7684cdac8d2c812e295c321b5b41dccc4c6ea07d6512845c90cc","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2011-11-16T23:51:54Z","title_canon_sha256":"664030557fd043834682094b8df9e7ee030f6d9504cefc9188e357772d58227c"},"schema_version":"1.0","source":{"id":"1111.3994","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.3994","created_at":"2026-05-18T03:49:22Z"},{"alias_kind":"arxiv_version","alias_value":"1111.3994v2","created_at":"2026-05-18T03:49:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.3994","created_at":"2026-05-18T03:49:22Z"},{"alias_kind":"pith_short_12","alias_value":"BSUWN55BNHUU","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_16","alias_value":"BSUWN55BNHUUB4KV","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_8","alias_value":"BSUWN55B","created_at":"2026-05-18T12:26:24Z"}],"graph_snapshots":[{"event_id":"sha256:9c3c45ba0615bd41ac142d11500960d6571718edfdc9ffb48a6c95d8abc139e2","target":"graph","created_at":"2026-05-18T03:49:22Z","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":"A $d$-dimensional nonparametric additive regression model with dependent observations is considered. Using the marginal integration technique and wavelets methodology, we develop a new adaptive estimator for a component of the additive regression function. Its asymptotic properties are investigated via the minimax approach under the $\\mathbb{L}_2$ risk over Besov balls. We prove that it attains a sharp rate of convergence which turns to be the one obtained in the $\\iid$ case for the standard univariate regression estimation problem.","authors_text":"Bertrand Maillot, Christophe Chesneau, Jalal M. Fadili","cross_cats":["stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2011-11-16T23:51:54Z","title":"Adaptive estimation of an additive regression function from weakly dependent data"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.3994","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:e3772c580e42efb427015e8c1e61de4c84c12366cb91c31869ce3decc8219587","target":"record","created_at":"2026-05-18T03:49:22Z","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":"62548cb69f2d7684cdac8d2c812e295c321b5b41dccc4c6ea07d6512845c90cc","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2011-11-16T23:51:54Z","title_canon_sha256":"664030557fd043834682094b8df9e7ee030f6d9504cefc9188e357772d58227c"},"schema_version":"1.0","source":{"id":"1111.3994","kind":"arxiv","version":2}},"canonical_sha256":"0ca966f7a169e940f155164dafa982901f3bc4c73a7f3434b6d494bc3579209a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0ca966f7a169e940f155164dafa982901f3bc4c73a7f3434b6d494bc3579209a","first_computed_at":"2026-05-18T03:49:22.066446Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:49:22.066446Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tljKqCh8BsjmEN/ZveWiTK1QHz5y6rkgsPnxfdgwVRLqYoiizb+VceGo5yfjp+b8tOXlhWErEjgcwDciXMtjAg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:49:22.067201Z","signed_message":"canonical_sha256_bytes"},"source_id":"1111.3994","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e3772c580e42efb427015e8c1e61de4c84c12366cb91c31869ce3decc8219587","sha256:9c3c45ba0615bd41ac142d11500960d6571718edfdc9ffb48a6c95d8abc139e2"],"state_sha256":"4221655c7a8084702794ac4f59a48c92573b52171f87de758953fe3dc07fe4ec"}