{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:ABYMTHBYSC3DUCKHDYECAWL3RL","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":"f21a270baffe2993dc109779f11c4adf25f8efb477e792f583349708414c9bfd","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2018-02-14T14:17:33Z","title_canon_sha256":"e5a4787c4799c92a5bb186cc82727f1021c525f98c885ec5a33f15b24d908090"},"schema_version":"1.0","source":{"id":"1802.05104","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.05104","created_at":"2026-05-18T00:23:20Z"},{"alias_kind":"arxiv_version","alias_value":"1802.05104v1","created_at":"2026-05-18T00:23:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.05104","created_at":"2026-05-18T00:23:20Z"},{"alias_kind":"pith_short_12","alias_value":"ABYMTHBYSC3D","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_16","alias_value":"ABYMTHBYSC3DUCKH","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_8","alias_value":"ABYMTHBY","created_at":"2026-05-18T12:32:13Z"}],"graph_snapshots":[{"event_id":"sha256:93c0fc3262125368c3ee8e12d449213b0b5f9cce45d75aa9215fd594c4cc7e39","target":"graph","created_at":"2026-05-18T00:23:20Z","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 introduce a new procedure to select the optimal cutoff parameter for Fourier density estimators that leads to adaptive rate optimal estimators, up to a logarithmic factor. This adaptive procedure applies for different inverse problems. We illustrate it on two classical examples: deconvolution and decompounding, i.e. non-parametric estimation of the jump density of a compound Poisson process from the observation of n increments of length $\\Delta$ > 0. For this latter example, we first build an estimator for which we provide an upper bound for its L 2-risk that is valid simultaneously for sam","authors_text":"C\\'eline Duval (MAP5 - UMR 8145), Johanna Kappus","cross_cats":["stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2018-02-14T14:17:33Z","title":"An adaptive procedure for Fourier estimators: illustration to deconvolution and decompounding"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.05104","kind":"arxiv","version":1},"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:fccdb70d5a91b96c7a8f1f3735da02e6761d07bbf5b9b747a52feee11eb583cb","target":"record","created_at":"2026-05-18T00:23:20Z","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":"f21a270baffe2993dc109779f11c4adf25f8efb477e792f583349708414c9bfd","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2018-02-14T14:17:33Z","title_canon_sha256":"e5a4787c4799c92a5bb186cc82727f1021c525f98c885ec5a33f15b24d908090"},"schema_version":"1.0","source":{"id":"1802.05104","kind":"arxiv","version":1}},"canonical_sha256":"0070c99c3890b63a09471e0820597b8afc01629592802456f06e83b8ed6b10ee","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0070c99c3890b63a09471e0820597b8afc01629592802456f06e83b8ed6b10ee","first_computed_at":"2026-05-18T00:23:20.462391Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:23:20.462391Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4vY2sWQ4ejw5y7kQvVhzSQRvP0kfwPx61tF0s+Y/qNjCpI7mlj0JrZPmdZ+n0S3FA7kn0gOChBc+l5Ep8nOvBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:23:20.463129Z","signed_message":"canonical_sha256_bytes"},"source_id":"1802.05104","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fccdb70d5a91b96c7a8f1f3735da02e6761d07bbf5b9b747a52feee11eb583cb","sha256:93c0fc3262125368c3ee8e12d449213b0b5f9cce45d75aa9215fd594c4cc7e39"],"state_sha256":"07dbc0c726f72ad7c4742157b7d353ad7c2657373ecd23824f74fe1257ce11d8"}