{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:EXCVGX5QH4PWWUEWQMRGRFF5ZE","short_pith_number":"pith:EXCVGX5Q","schema_version":"1.0","canonical_sha256":"25c5535fb03f1f6b509683226894bdc934b7d23722756744d0b6e56f79f9e380","source":{"kind":"arxiv","id":"1404.5100","version":3},"attestation_state":"computed","paper":{"title":"Convergence of cyclic coordinatewise l1 minimization","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.CO"],"primary_cat":"math.OC","authors_text":"Bala Rajaratnam, Kshitij Khare","submitted_at":"2014-04-21T03:33:16Z","abstract_excerpt":"We consider the general problem of minimizing an objective function which is the sum of a convex function (not strictly convex) and absolute values of a subset of variables (or equivalently the l1-norm of the variables). This problem appears exten- sively in modern statistical applications associated with high-dimensional data or \"big data\", and corresponds to optimizing l1-regularized likelihoods in the context of model selection. In such applications, cyclic coordinatewise minimization (CCM), where the objective function is sequentially minimized with respect to each individual coordi- nate,"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1404.5100","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-04-21T03:33:16Z","cross_cats_sorted":["stat.CO"],"title_canon_sha256":"72b0fe6f22fa7bc04132330b854e5a3318891e7827a17754a8f46b31b61d2dc1","abstract_canon_sha256":"7614f84b5f76c5a326c4401271e495b6bc4e6dd0cc6d14ca5a6c4f4767c1ef9e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:00:46.440581Z","signature_b64":"wVAmuUMyKBEnCfJ8fBK+YtmEcTTze4+aokJBJTjL9jcFaQMUywQ4oIdkVNnKDDOP2qzq4roJQAf1nAHQgoNOAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"25c5535fb03f1f6b509683226894bdc934b7d23722756744d0b6e56f79f9e380","last_reissued_at":"2026-05-18T01:00:46.440159Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:00:46.440159Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Convergence of cyclic coordinatewise l1 minimization","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.CO"],"primary_cat":"math.OC","authors_text":"Bala Rajaratnam, Kshitij Khare","submitted_at":"2014-04-21T03:33:16Z","abstract_excerpt":"We consider the general problem of minimizing an objective function which is the sum of a convex function (not strictly convex) and absolute values of a subset of variables (or equivalently the l1-norm of the variables). This problem appears exten- sively in modern statistical applications associated with high-dimensional data or \"big data\", and corresponds to optimizing l1-regularized likelihoods in the context of model selection. In such applications, cyclic coordinatewise minimization (CCM), where the objective function is sequentially minimized with respect to each individual coordi- nate,"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.5100","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1404.5100","created_at":"2026-05-18T01:00:46.440217+00:00"},{"alias_kind":"arxiv_version","alias_value":"1404.5100v3","created_at":"2026-05-18T01:00:46.440217+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.5100","created_at":"2026-05-18T01:00:46.440217+00:00"},{"alias_kind":"pith_short_12","alias_value":"EXCVGX5QH4PW","created_at":"2026-05-18T12:28:28.263976+00:00"},{"alias_kind":"pith_short_16","alias_value":"EXCVGX5QH4PWWUEW","created_at":"2026-05-18T12:28:28.263976+00:00"},{"alias_kind":"pith_short_8","alias_value":"EXCVGX5Q","created_at":"2026-05-18T12:28:28.263976+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/EXCVGX5QH4PWWUEWQMRGRFF5ZE","json":"https://pith.science/pith/EXCVGX5QH4PWWUEWQMRGRFF5ZE.json","graph_json":"https://pith.science/api/pith-number/EXCVGX5QH4PWWUEWQMRGRFF5ZE/graph.json","events_json":"https://pith.science/api/pith-number/EXCVGX5QH4PWWUEWQMRGRFF5ZE/events.json","paper":"https://pith.science/paper/EXCVGX5Q"},"agent_actions":{"view_html":"https://pith.science/pith/EXCVGX5QH4PWWUEWQMRGRFF5ZE","download_json":"https://pith.science/pith/EXCVGX5QH4PWWUEWQMRGRFF5ZE.json","view_paper":"https://pith.science/paper/EXCVGX5Q","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1404.5100&json=true","fetch_graph":"https://pith.science/api/pith-number/EXCVGX5QH4PWWUEWQMRGRFF5ZE/graph.json","fetch_events":"https://pith.science/api/pith-number/EXCVGX5QH4PWWUEWQMRGRFF5ZE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/EXCVGX5QH4PWWUEWQMRGRFF5ZE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/EXCVGX5QH4PWWUEWQMRGRFF5ZE/action/storage_attestation","attest_author":"https://pith.science/pith/EXCVGX5QH4PWWUEWQMRGRFF5ZE/action/author_attestation","sign_citation":"https://pith.science/pith/EXCVGX5QH4PWWUEWQMRGRFF5ZE/action/citation_signature","submit_replication":"https://pith.science/pith/EXCVGX5QH4PWWUEWQMRGRFF5ZE/action/replication_record"}},"created_at":"2026-05-18T01:00:46.440217+00:00","updated_at":"2026-05-18T01:00:46.440217+00:00"}