{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:AHWNINFR4POBA2HKP53YM5QKD2","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":"cae2e916478ab064e46cbd0cddbc62172299e1ef383aef790b59fa7005639def","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-09-10T10:59:10Z","title_canon_sha256":"53838c26ade3e336a06de6e0893b0d0cfceed5826e3fde0b290db8f03995f6a3"},"schema_version":"1.0","source":{"id":"1509.03093","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.03093","created_at":"2026-05-18T01:33:25Z"},{"alias_kind":"arxiv_version","alias_value":"1509.03093v1","created_at":"2026-05-18T01:33:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.03093","created_at":"2026-05-18T01:33:25Z"},{"alias_kind":"pith_short_12","alias_value":"AHWNINFR4POB","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_16","alias_value":"AHWNINFR4POBA2HK","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_8","alias_value":"AHWNINFR","created_at":"2026-05-18T12:29:10Z"}],"graph_snapshots":[{"event_id":"sha256:d6284207545c71920260ab695de1fa6a225c4a9280d18e682b6619496f4b2260","target":"graph","created_at":"2026-05-18T01:33:25Z","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":"In this paper we present a method for the regularized solution of nonlinear inverse problems, based on Ivanov regularization (also called method of quasi solutions or constrained least squares regularization). This leads to the minimization of a non-convex cost function under a norm constraint, where non-convexity is caused by nonlinearity of the inverse problem. Minimization is done by iterative approximation, using (non-convex) quadratic Taylor expansions of the cost function. This leads to repeated solution of quadratic trust region subproblems with possibly indefinite Hessian. Thus the key","authors_text":"Barbara Kaltenbacher, Elena Resmerita, Franz Rendl","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-09-10T10:59:10Z","title":"Computing quasisolutions of nonlinear inverse problems via efficient minimization of trust region problems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.03093","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":"sha256:4f775aa18d9ae3bfbc25d917a5585994821eb785b02925a4a9b3e7388f5c1291","target":"record","created_at":"2026-05-18T01:33:25Z","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":"cae2e916478ab064e46cbd0cddbc62172299e1ef383aef790b59fa7005639def","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-09-10T10:59:10Z","title_canon_sha256":"53838c26ade3e336a06de6e0893b0d0cfceed5826e3fde0b290db8f03995f6a3"},"schema_version":"1.0","source":{"id":"1509.03093","kind":"arxiv","version":1}},"canonical_sha256":"01ecd434b1e3dc1068ea7f7786760a1eb8a92778d7ef096bfd409737ac12160d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"01ecd434b1e3dc1068ea7f7786760a1eb8a92778d7ef096bfd409737ac12160d","first_computed_at":"2026-05-18T01:33:25.457595Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:33:25.457595Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dPKBvWpa227tWJEsFulnJeFwULhrUMuJhjwlt+joRcCmD8H62c1uY5NOQTmh8xoYGmw6gv+ySYDFO/59q250Cw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:33:25.458254Z","signed_message":"canonical_sha256_bytes"},"source_id":"1509.03093","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4f775aa18d9ae3bfbc25d917a5585994821eb785b02925a4a9b3e7388f5c1291","sha256:d6284207545c71920260ab695de1fa6a225c4a9280d18e682b6619496f4b2260"],"state_sha256":"ea05abf7a39d0eb318518302fb246bd53e52ef2ce21991aff9fd7eee4dbd2217"}