{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:4AWI6CY6YZK3AHOPFHJMFD3QCG","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":"963a9877453007fad6713d829f04947f0faa3fd313f7990be11118588eb77b4b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2014-12-24T10:32:02Z","title_canon_sha256":"cd231896711d6ed2bf342181c17437ad66686401b3d7112f56daa4339cd24c52"},"schema_version":"1.0","source":{"id":"1412.7638","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.7638","created_at":"2026-05-18T02:30:33Z"},{"alias_kind":"arxiv_version","alias_value":"1412.7638v1","created_at":"2026-05-18T02:30:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.7638","created_at":"2026-05-18T02:30:33Z"},{"alias_kind":"pith_short_12","alias_value":"4AWI6CY6YZK3","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_16","alias_value":"4AWI6CY6YZK3AHOP","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_8","alias_value":"4AWI6CY6","created_at":"2026-05-18T12:28:14Z"}],"graph_snapshots":[{"event_id":"sha256:ea9f269c3c2f758e95dc9a3e8ece22c0d0fcc1d9dd48a8d36e4161c9a1777272","target":"graph","created_at":"2026-05-18T02:30:33Z","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":"Given $n$ i.i.d. observations of a random vector $(X,Z)$, where $X$ is a high-dimensional vector and $Z$ is a low-dimensional index variable, we study the problem of estimating the conditional inverse covariance matrix $\\Omega(z) = (E[(X-E[X \\mid Z])(X-E[X \\mid Z])^T \\mid Z=z])^{-1}$ under the assumption that the set of non-zero elements is small and does not depend on the index variable. We develop a novel procedure that combines the ideas of the local constant smoothing and the group Lasso for estimating the conditional inverse covariance matrix. A proximal iterative smoothing algorithm is u","authors_text":"Jialei Wang, Mladen Kolar","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2014-12-24T10:32:02Z","title":"Inference for Sparse Conditional Precision Matrices"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.7638","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":"sha256:772169414e8ad1b53e68b53685da25ffa87e2b4c58052a1abbe0e85df9e6b435","target":"record","created_at":"2026-05-18T02:30:33Z","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":"963a9877453007fad6713d829f04947f0faa3fd313f7990be11118588eb77b4b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2014-12-24T10:32:02Z","title_canon_sha256":"cd231896711d6ed2bf342181c17437ad66686401b3d7112f56daa4339cd24c52"},"schema_version":"1.0","source":{"id":"1412.7638","kind":"arxiv","version":1}},"canonical_sha256":"e02c8f0b1ec655b01dcf29d2c28f70119b8fc6cc333e8f9c79a9dc9aedec132f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e02c8f0b1ec655b01dcf29d2c28f70119b8fc6cc333e8f9c79a9dc9aedec132f","first_computed_at":"2026-05-18T02:30:33.364898Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:30:33.364898Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TTCKK7vRc9C0gKOT3eBcSwhsEh+sLsFYwaWWZh+Y9fR7LkStWcIi0MrDUS5qoJVXVbzn9AgQPXe8E+mws1zuCw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:30:33.365308Z","signed_message":"canonical_sha256_bytes"},"source_id":"1412.7638","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:772169414e8ad1b53e68b53685da25ffa87e2b4c58052a1abbe0e85df9e6b435","sha256:ea9f269c3c2f758e95dc9a3e8ece22c0d0fcc1d9dd48a8d36e4161c9a1777272"],"state_sha256":"aab8eed48fc64d03bbe8825ed1fa89b67d7203877e91db9802990cb5b5f4331d"}