{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:ZAVMUH6GL2TXSVX3ALHI4RKJHY","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":"edcc5ad780df1c6e57396db334e29d2e9a7ae1b209df41c0cc26ebfbd07c7e90","cross_cats_sorted":["cs.IT","math.IT","stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-03-03T18:33:57Z","title_canon_sha256":"9b560406f2f30367ff80dc87994f6b4cd8df57c01f07058af81c705d67c4d140"},"schema_version":"1.0","source":{"id":"1403.0515","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.0515","created_at":"2026-05-18T02:57:24Z"},{"alias_kind":"arxiv_version","alias_value":"1403.0515v1","created_at":"2026-05-18T02:57:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.0515","created_at":"2026-05-18T02:57:24Z"},{"alias_kind":"pith_short_12","alias_value":"ZAVMUH6GL2TX","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_16","alias_value":"ZAVMUH6GL2TXSVX3","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_8","alias_value":"ZAVMUH6G","created_at":"2026-05-18T12:28:59Z"}],"graph_snapshots":[{"event_id":"sha256:e93c381c014e906b1cea8e80f40f31284a4e5abe21d9878c7aea6297306b6d34","target":"graph","created_at":"2026-05-18T02:57:24Z","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 develop a primal dual active set with continuation algorithm for solving the \\ell^0-regularized least-squares problem that frequently arises in compressed sensing. The algorithm couples the the primal dual active set method with a continuation strategy on the regularization parameter. At each inner iteration, it first identifies the active set from both primal and dual variables, and then updates the primal variable by solving a (typically small) least-squares problem defined on the active set, from which the dual variable can be updated explicitly. Under certain conditions on the sensing m","authors_text":"Bangti Jin, Xiliang Lu, Yuling Jiao","cross_cats":["cs.IT","math.IT","stat.ML"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-03-03T18:33:57Z","title":"A Primal Dual Active Set with Continuation Algorithm for the \\ell^0-Regularized Optimization Problem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.0515","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":"sha256:6e720ddf6002e337e8c2455a6ce5edbc4e8c661bad25149cf7dbea7c31bf5117","target":"record","created_at":"2026-05-18T02:57:24Z","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":"edcc5ad780df1c6e57396db334e29d2e9a7ae1b209df41c0cc26ebfbd07c7e90","cross_cats_sorted":["cs.IT","math.IT","stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-03-03T18:33:57Z","title_canon_sha256":"9b560406f2f30367ff80dc87994f6b4cd8df57c01f07058af81c705d67c4d140"},"schema_version":"1.0","source":{"id":"1403.0515","kind":"arxiv","version":1}},"canonical_sha256":"c82aca1fc65ea77956fb02ce8e45493e154fea4f2e2d7b878ea0e1af5aa17329","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c82aca1fc65ea77956fb02ce8e45493e154fea4f2e2d7b878ea0e1af5aa17329","first_computed_at":"2026-05-18T02:57:24.679014Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:57:24.679014Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XWcYhUu9c6F5DhFifoNSU+2iU2/j8y6qispLlYrZsK4INuCkeYn6G5aBnpDgHMa8IebazqDVRX8FPtvCaNejAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:57:24.679750Z","signed_message":"canonical_sha256_bytes"},"source_id":"1403.0515","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6e720ddf6002e337e8c2455a6ce5edbc4e8c661bad25149cf7dbea7c31bf5117","sha256:e93c381c014e906b1cea8e80f40f31284a4e5abe21d9878c7aea6297306b6d34"],"state_sha256":"346cda46fa3f3e18d62a564117f8bfa87503d1e5f6f56517b06fc428a5c3834c"}