{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:47OVQ3ZQTZHOMJX3VYHCANDNFI","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":"ac2fe9cdd6ca8504698a77432b16df4e5c4415b42df5afe95c956d35f3b84c35","cross_cats_sorted":["math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-09-24T17:17:54Z","title_canon_sha256":"c00af624ee56042d5bdad8fd332dbdf2e0cf7e740b17c6d5d578b175086ed64f"},"schema_version":"1.0","source":{"id":"1509.07442","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.07442","created_at":"2026-05-18T00:53:45Z"},{"alias_kind":"arxiv_version","alias_value":"1509.07442v4","created_at":"2026-05-18T00:53:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.07442","created_at":"2026-05-18T00:53:45Z"},{"alias_kind":"pith_short_12","alias_value":"47OVQ3ZQTZHO","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_16","alias_value":"47OVQ3ZQTZHOMJX3","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_8","alias_value":"47OVQ3ZQ","created_at":"2026-05-18T12:29:05Z"}],"graph_snapshots":[{"event_id":"sha256:c772b73ecab71fb710c910652a3a5e42afad29c0866de4bb33d9b925dffa7212","target":"graph","created_at":"2026-05-18T00:53:45Z","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":"Algorithms for automatically selecting a scalar or locally varying regularization parameter for total variation models with an $L^{\\tau}$-data fidelity term, $\\tau\\in \\{1,2\\}$, are presented. The automated selection of the regularization parameter is based on the discrepancy principle, whereby in each iteration a total variation model has to be minimized. In the case of a locally varying parameter this amounts to solve a multi-scale total variation minimization problem. For solving the constituted multi-scale total variation model convergent first and second order methods are introduced and an","authors_text":"Andreas Langer","cross_cats":["math.OC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-09-24T17:17:54Z","title":"Automated Parameter Selection for Total Variation Minimization in Image Restoration"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.07442","kind":"arxiv","version":4},"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:d0f7a6c550ae668cff04abb30721897437c944c5c187706bccc1392f65e294b4","target":"record","created_at":"2026-05-18T00:53:45Z","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":"ac2fe9cdd6ca8504698a77432b16df4e5c4415b42df5afe95c956d35f3b84c35","cross_cats_sorted":["math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-09-24T17:17:54Z","title_canon_sha256":"c00af624ee56042d5bdad8fd332dbdf2e0cf7e740b17c6d5d578b175086ed64f"},"schema_version":"1.0","source":{"id":"1509.07442","kind":"arxiv","version":4}},"canonical_sha256":"e7dd586f309e4ee626fbae0e20346d2a1f628ce018f4c85f28c6164aa6fb878e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e7dd586f309e4ee626fbae0e20346d2a1f628ce018f4c85f28c6164aa6fb878e","first_computed_at":"2026-05-18T00:53:45.540424Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:53:45.540424Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VPftJP1qCev8dIVQ8eMpG3ui9THfwfUrRlD8rOsDFt0nxTQj0KJh26J/wgaxDpwCjmxkOLvd+c646/y2Uy/EAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:53:45.540814Z","signed_message":"canonical_sha256_bytes"},"source_id":"1509.07442","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d0f7a6c550ae668cff04abb30721897437c944c5c187706bccc1392f65e294b4","sha256:c772b73ecab71fb710c910652a3a5e42afad29c0866de4bb33d9b925dffa7212"],"state_sha256":"2405570c2ffcee2125eda5fdc108c6793593ba1327a589fc9d34f3a6920c49e4"}