{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:OHEXX32BPR7GJMG2YVINS4HSNW","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":"53747e22ac0dd8be1c35a01603c77d52617af147edce1fc9fe0b6d7727e010f2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.AP","submitted_at":"2014-11-09T01:55:40Z","title_canon_sha256":"42aa8fed99eba3d3e67c52d535d526f67c03acdc0338a0970d44a543c469355e"},"schema_version":"1.0","source":{"id":"1411.2183","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.2183","created_at":"2026-05-18T01:24:39Z"},{"alias_kind":"arxiv_version","alias_value":"1411.2183v1","created_at":"2026-05-18T01:24:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.2183","created_at":"2026-05-18T01:24:39Z"},{"alias_kind":"pith_short_12","alias_value":"OHEXX32BPR7G","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_16","alias_value":"OHEXX32BPR7GJMG2","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_8","alias_value":"OHEXX32B","created_at":"2026-05-18T12:28:41Z"}],"graph_snapshots":[{"event_id":"sha256:d232198bdd85da850b44378da9f087fd36582b2879f687b8f576ee6899c5b1a4","target":"graph","created_at":"2026-05-18T01:24:39Z","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 propose a general framework for reconstructing transform-sparse images from undersampled (squared)-magnitude data corrupted with outliers. This framework is implemented using a multi-layered approach, combining multiple initializations (to address the nonconvexity of the phase retrieval problem), repeated minimization of a convex majorizer (surrogate for a nonconvex objective function), and iterative optimization using the alternating directions method of multipliers. Exploiting the generality of this framework, we investigate using a Laplace measurement noise model better adapted to outlie","authors_text":"Ayelet Pnueli, Daniel S. Weller, Gilad Divon, Jeffrey A. Fessler, Ori Radzyner, Yonina C. Eldar","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.AP","submitted_at":"2014-11-09T01:55:40Z","title":"Undersampled Phase Retrieval with Outliers"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.2183","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":"sha256:2d2862fe2b390a8610fd4e1bc11f6f0f4d6abfa8c9959fa7ddb940339c3405cd","target":"record","created_at":"2026-05-18T01:24:39Z","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":"53747e22ac0dd8be1c35a01603c77d52617af147edce1fc9fe0b6d7727e010f2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.AP","submitted_at":"2014-11-09T01:55:40Z","title_canon_sha256":"42aa8fed99eba3d3e67c52d535d526f67c03acdc0338a0970d44a543c469355e"},"schema_version":"1.0","source":{"id":"1411.2183","kind":"arxiv","version":1}},"canonical_sha256":"71c97bef417c7e64b0dac550d970f26dbc4c3c4bc0771e0001365a8513f33702","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"71c97bef417c7e64b0dac550d970f26dbc4c3c4bc0771e0001365a8513f33702","first_computed_at":"2026-05-18T01:24:39.448512Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:24:39.448512Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0oQ1Ix/RE+XySsnnFHyRZg+Z0V68rgYOH0qMLvSoxQLozdquXboS03v2LVGNcAxym19w51tM3R9i9Mq0S2cXDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:24:39.448922Z","signed_message":"canonical_sha256_bytes"},"source_id":"1411.2183","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2d2862fe2b390a8610fd4e1bc11f6f0f4d6abfa8c9959fa7ddb940339c3405cd","sha256:d232198bdd85da850b44378da9f087fd36582b2879f687b8f576ee6899c5b1a4"],"state_sha256":"c152097fd7980c8f69fe6979fcfcbc5aa5a9107e8040c1d8c7d49e6e6cfecb70"}