{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:MJSDFNTYZHS2D34NNS7AU3M2PF","short_pith_number":"pith:MJSDFNTY","schema_version":"1.0","canonical_sha256":"626432b678c9e5a1ef8d6cbe0a6d9a7963d368f68500f8e543e6775d1595391c","source":{"kind":"arxiv","id":"1311.7198","version":1},"attestation_state":"computed","paper":{"title":"ADMM Algorithm for Graphical Lasso with an $\\ell_{\\infty}$ Element-wise Norm Constraint","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.OC","stat.ML"],"primary_cat":"cs.LG","authors_text":"Karthik Mohan","submitted_at":"2013-11-28T03:59:31Z","abstract_excerpt":"We consider the problem of Graphical lasso with an additional $\\ell_{\\infty}$ element-wise norm constraint on the precision matrix. This problem has applications in high-dimensional covariance decomposition such as in \\citep{Janzamin-12}. We propose an ADMM algorithm to solve this problem. We also use a continuation strategy on the penalty parameter to have a fast implemenation of the algorithm."},"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":"1311.7198","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2013-11-28T03:59:31Z","cross_cats_sorted":["math.OC","stat.ML"],"title_canon_sha256":"3b6f4cfa43a5c1c852b8a0cef5521af87f39b30b8862ca99901f5beee66231d9","abstract_canon_sha256":"ffc5360e90f3391b30b69414fe70bb239083076f3e3b6bb1b0435207869c31af"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:05:56.978523Z","signature_b64":"U+addGmdoZF2pybyV71V7y6fGETdEtSG/v8baThzqEgtA6+RijJ1dIqnNDKRNgf6HAfjsfqC18Uw+tg/AvpEAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"626432b678c9e5a1ef8d6cbe0a6d9a7963d368f68500f8e543e6775d1595391c","last_reissued_at":"2026-05-18T03:05:56.977743Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:05:56.977743Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"ADMM Algorithm for Graphical Lasso with an $\\ell_{\\infty}$ Element-wise Norm Constraint","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.OC","stat.ML"],"primary_cat":"cs.LG","authors_text":"Karthik Mohan","submitted_at":"2013-11-28T03:59:31Z","abstract_excerpt":"We consider the problem of Graphical lasso with an additional $\\ell_{\\infty}$ element-wise norm constraint on the precision matrix. This problem has applications in high-dimensional covariance decomposition such as in \\citep{Janzamin-12}. We propose an ADMM algorithm to solve this problem. We also use a continuation strategy on the penalty parameter to have a fast implemenation of the algorithm."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.7198","kind":"arxiv","version":1},"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":"1311.7198","created_at":"2026-05-18T03:05:56.977880+00:00"},{"alias_kind":"arxiv_version","alias_value":"1311.7198v1","created_at":"2026-05-18T03:05:56.977880+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.7198","created_at":"2026-05-18T03:05:56.977880+00:00"},{"alias_kind":"pith_short_12","alias_value":"MJSDFNTYZHS2","created_at":"2026-05-18T12:27:52.871228+00:00"},{"alias_kind":"pith_short_16","alias_value":"MJSDFNTYZHS2D34N","created_at":"2026-05-18T12:27:52.871228+00:00"},{"alias_kind":"pith_short_8","alias_value":"MJSDFNTY","created_at":"2026-05-18T12:27:52.871228+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/MJSDFNTYZHS2D34NNS7AU3M2PF","json":"https://pith.science/pith/MJSDFNTYZHS2D34NNS7AU3M2PF.json","graph_json":"https://pith.science/api/pith-number/MJSDFNTYZHS2D34NNS7AU3M2PF/graph.json","events_json":"https://pith.science/api/pith-number/MJSDFNTYZHS2D34NNS7AU3M2PF/events.json","paper":"https://pith.science/paper/MJSDFNTY"},"agent_actions":{"view_html":"https://pith.science/pith/MJSDFNTYZHS2D34NNS7AU3M2PF","download_json":"https://pith.science/pith/MJSDFNTYZHS2D34NNS7AU3M2PF.json","view_paper":"https://pith.science/paper/MJSDFNTY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1311.7198&json=true","fetch_graph":"https://pith.science/api/pith-number/MJSDFNTYZHS2D34NNS7AU3M2PF/graph.json","fetch_events":"https://pith.science/api/pith-number/MJSDFNTYZHS2D34NNS7AU3M2PF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MJSDFNTYZHS2D34NNS7AU3M2PF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MJSDFNTYZHS2D34NNS7AU3M2PF/action/storage_attestation","attest_author":"https://pith.science/pith/MJSDFNTYZHS2D34NNS7AU3M2PF/action/author_attestation","sign_citation":"https://pith.science/pith/MJSDFNTYZHS2D34NNS7AU3M2PF/action/citation_signature","submit_replication":"https://pith.science/pith/MJSDFNTYZHS2D34NNS7AU3M2PF/action/replication_record"}},"created_at":"2026-05-18T03:05:56.977880+00:00","updated_at":"2026-05-18T03:05:56.977880+00:00"}