{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:ILGCW5MHM2T3BLONUQNWRUYRUR","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":"08d89ef8052ac32b0edcda8362c4b8a211546998ac1494b446a7f89f256bb01c","cross_cats_sorted":["q-bio.QM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2012-08-15T01:54:31Z","title_canon_sha256":"1930f278f7eb7a42510c088979226eb434cb968ffced616fe2e5e785b1c9e9ca"},"schema_version":"1.0","source":{"id":"1208.3014","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1208.3014","created_at":"2026-05-18T03:48:45Z"},{"alias_kind":"arxiv_version","alias_value":"1208.3014v1","created_at":"2026-05-18T03:48:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.3014","created_at":"2026-05-18T03:48:45Z"},{"alias_kind":"pith_short_12","alias_value":"ILGCW5MHM2T3","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_16","alias_value":"ILGCW5MHM2T3BLON","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_8","alias_value":"ILGCW5MH","created_at":"2026-05-18T12:27:09Z"}],"graph_snapshots":[{"event_id":"sha256:18c62f6a1c24ab849b8876b58e4d18fcd9a32b9cb708bea20682682cb3bbddc0","target":"graph","created_at":"2026-05-18T03:48:45Z","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 highly scalable optimization method called \"hierarchical group-thresholding\" for solving a multi-task regression model with complex structured sparsity constraints on both input and output spaces. Despite the recent emergence of several efficient optimization algorithms for tackling complex sparsity-inducing regularizers, true scalability in practical high-dimensional problems where a huge amount (e.g., millions) of sparsity patterns need to be enforced remains an open challenge, because all existing algorithms must deal with ALL such patterns exhaustively in every iteration, whic","authors_text":"Eric P. Xing, Seunghak Lee","cross_cats":["q-bio.QM"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2012-08-15T01:54:31Z","title":"Efficient Algorithm for Extremely Large Multi-task Regression with Massive Structured Sparsity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.3014","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":"sha256:8e11b7dbbd91f9dc3c52e6f09f85a1a8d2946fdff40d904debba45077b803f00","target":"record","created_at":"2026-05-18T03:48:45Z","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":"08d89ef8052ac32b0edcda8362c4b8a211546998ac1494b446a7f89f256bb01c","cross_cats_sorted":["q-bio.QM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2012-08-15T01:54:31Z","title_canon_sha256":"1930f278f7eb7a42510c088979226eb434cb968ffced616fe2e5e785b1c9e9ca"},"schema_version":"1.0","source":{"id":"1208.3014","kind":"arxiv","version":1}},"canonical_sha256":"42cc2b758766a7b0adcda41b68d311a441d275c80ff491cfc54c1d6e53e7839a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"42cc2b758766a7b0adcda41b68d311a441d275c80ff491cfc54c1d6e53e7839a","first_computed_at":"2026-05-18T03:48:45.799714Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:48:45.799714Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"upA6/WwL2T7yqClbEVoKmArj7qBwlskDSrsiiIUVvXgh/YMErC3aeoQ8glyhwTv4WWZh7X5LHuY4XdQNPCryAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:48:45.800339Z","signed_message":"canonical_sha256_bytes"},"source_id":"1208.3014","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8e11b7dbbd91f9dc3c52e6f09f85a1a8d2946fdff40d904debba45077b803f00","sha256:18c62f6a1c24ab849b8876b58e4d18fcd9a32b9cb708bea20682682cb3bbddc0"],"state_sha256":"4f4519b5b97dd72f694e90bc95808516a06bafa1225853f6a9cf068e8fe4d68a"}