{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:GRWDC3EHN4ADZDTBLZVF37WL6J","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":"7e8bc2efb73ea7938b751cd29ab3179e4c2081885ece670f167f08859c07703f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-03-21T12:35:01Z","title_canon_sha256":"f267fbfffdfe6156954bfb0318c57470cabbbb909dc6733e5deddbbb7f28af10"},"schema_version":"1.0","source":{"id":"1703.07171","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.07171","created_at":"2026-05-18T00:48:11Z"},{"alias_kind":"arxiv_version","alias_value":"1703.07171v1","created_at":"2026-05-18T00:48:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.07171","created_at":"2026-05-18T00:48:11Z"},{"alias_kind":"pith_short_12","alias_value":"GRWDC3EHN4AD","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_16","alias_value":"GRWDC3EHN4ADZDTB","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_8","alias_value":"GRWDC3EH","created_at":"2026-05-18T12:31:18Z"}],"graph_snapshots":[{"event_id":"sha256:64b2cbcd8986c0f802f8cfb29e20467838579768a2bcf0cde2d5553786ece917","target":"graph","created_at":"2026-05-18T00:48:11Z","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":"This paper considers the problem of recovering either a low rank matrix or a sparse vector from observations of linear combinations of the vector or matrix elements. Recent methods replace the non-convex regularization with $\\ell_1$ or nuclear norm relaxations. It is well known that this approach can be guaranteed to recover a near optimal solutions if a so called restricted isometry property (RIP) holds. On the other hand it is also known to perform soft thresholding which results in a shrinking bias which can degrade the solution.\n  In this paper we study an alternative non-convex regulariza","authors_text":"Carl Olsson, Fredrik Andersson, Marcus Carlsson, Viktor Larsson","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-03-21T12:35:01Z","title":"Non-Convex Rank/Sparsity Regularization and Local Minima"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.07171","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:cc77b307a8b307bddae23fb780f0c5063cc638a083bba8ded021f880500d0f41","target":"record","created_at":"2026-05-18T00:48:11Z","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":"7e8bc2efb73ea7938b751cd29ab3179e4c2081885ece670f167f08859c07703f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-03-21T12:35:01Z","title_canon_sha256":"f267fbfffdfe6156954bfb0318c57470cabbbb909dc6733e5deddbbb7f28af10"},"schema_version":"1.0","source":{"id":"1703.07171","kind":"arxiv","version":1}},"canonical_sha256":"346c316c876f003c8e615e6a5dfecbf244e1281b1a8a812358549b89ba77447f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"346c316c876f003c8e615e6a5dfecbf244e1281b1a8a812358549b89ba77447f","first_computed_at":"2026-05-18T00:48:11.118433Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:48:11.118433Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lJrBJcawHetCoQwzDe7kZXYwW8lc2XBQcihQdU2o8RV9FldNHSOMOg+b7xfsMLdUjEd9AjwJh8nlfNfDvTIBDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:48:11.119009Z","signed_message":"canonical_sha256_bytes"},"source_id":"1703.07171","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cc77b307a8b307bddae23fb780f0c5063cc638a083bba8ded021f880500d0f41","sha256:64b2cbcd8986c0f802f8cfb29e20467838579768a2bcf0cde2d5553786ece917"],"state_sha256":"3b548b32530c30dbde711b59350d0874c00858503afcdf2b91dffb398316dc7b"}