{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:AXAZTJ7KGO5VIFHJK3ONG6ZGJN","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":"041be5efa8277a8c99932f8a406dcb41ea774febd35d6ef66fa7721986bca9bd","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.CV","submitted_at":"2023-11-30T18:52:47Z","title_canon_sha256":"e78a04d06e1de260a54a869676e7868316ba801a54cc694774ff8157c3d97654"},"schema_version":"1.0","source":{"id":"2311.18810","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2311.18810","created_at":"2026-07-05T07:18:46Z"},{"alias_kind":"arxiv_version","alias_value":"2311.18810v1","created_at":"2026-07-05T07:18:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2311.18810","created_at":"2026-07-05T07:18:46Z"},{"alias_kind":"pith_short_12","alias_value":"AXAZTJ7KGO5V","created_at":"2026-07-05T07:18:46Z"},{"alias_kind":"pith_short_16","alias_value":"AXAZTJ7KGO5VIFHJ","created_at":"2026-07-05T07:18:46Z"},{"alias_kind":"pith_short_8","alias_value":"AXAZTJ7K","created_at":"2026-07-05T07:18:46Z"}],"graph_snapshots":[{"event_id":"sha256:f57db3c0b6655c72cea42c25ac2b61c9f418b7a18a936918e84facf279bf0318","target":"graph","created_at":"2026-07-05T07:18:46Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2311.18810/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Plug-and-Play Alternating Direction Method of Multipliers (PnP-ADMM) is a widely-used algorithm for solving inverse problems by integrating physical measurement models and convolutional neural network (CNN) priors. PnP-ADMM has been theoretically proven to converge for convex data-fidelity terms and nonexpansive CNNs. It has however been observed that PnP-ADMM often empirically converges even for expansive CNNs. This paper presents a theoretical explanation for the observed stability of PnP-ADMM based on the interpretation of the CNN prior as a minimum mean-squared error (MMSE) denoiser. Our e","authors_text":"Chicago Park, Shirin Shoushtari, Ulugbek S. Kamilov, Weijie Gan","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.CV","submitted_at":"2023-11-30T18:52:47Z","title":"Convergence of Nonconvex PnP-ADMM with MMSE Denoisers"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2311.18810","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:faac91b22f1f81b20ff80e0f1890da02bb4684982fab9c98f6606fd92482678f","target":"record","created_at":"2026-07-05T07:18:46Z","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":"041be5efa8277a8c99932f8a406dcb41ea774febd35d6ef66fa7721986bca9bd","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.CV","submitted_at":"2023-11-30T18:52:47Z","title_canon_sha256":"e78a04d06e1de260a54a869676e7868316ba801a54cc694774ff8157c3d97654"},"schema_version":"1.0","source":{"id":"2311.18810","kind":"arxiv","version":1}},"canonical_sha256":"05c199a7ea33bb5414e956dcd37b264b750cc526bf65b6f83609c382ff0e30ef","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"05c199a7ea33bb5414e956dcd37b264b750cc526bf65b6f83609c382ff0e30ef","first_computed_at":"2026-07-05T07:18:46.878644Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:18:46.878644Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pJ/OnjOX8QVZUtm6KqsWO595bhG+Aq013hy0IdS2/kDRq30Hvs8GSIEFP/FIrRqZwdivKMnK69TIKPUrimm4CQ==","signature_status":"signed_v1","signed_at":"2026-07-05T07:18:46.879085Z","signed_message":"canonical_sha256_bytes"},"source_id":"2311.18810","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:faac91b22f1f81b20ff80e0f1890da02bb4684982fab9c98f6606fd92482678f","sha256:f57db3c0b6655c72cea42c25ac2b61c9f418b7a18a936918e84facf279bf0318"],"state_sha256":"887b5c921d6817c9cac39bd9c254ab505741660de0d7cc167f74edbd6cf1f89f"}