{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:SVNP7JT626QLEZCHI3SFIJVVTZ","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":"057f585b0379149ec461bda33f312a605ac2f85fc8d815a2225892be13cc8208","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2017-09-13T13:58:26Z","title_canon_sha256":"20ab9309ee35e19d596aecee6b3e6c9393a41d3292af1accb859ab971fa213f1"},"schema_version":"1.0","source":{"id":"1709.04333","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1709.04333","created_at":"2026-05-18T00:31:24Z"},{"alias_kind":"arxiv_version","alias_value":"1709.04333v3","created_at":"2026-05-18T00:31:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.04333","created_at":"2026-05-18T00:31:24Z"},{"alias_kind":"pith_short_12","alias_value":"SVNP7JT626QL","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_16","alias_value":"SVNP7JT626QLEZCH","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_8","alias_value":"SVNP7JT6","created_at":"2026-05-18T12:31:43Z"}],"graph_snapshots":[{"event_id":"sha256:c8a6c5c876f7ff9c3df69963c6a7dee4d537e7761080f1fe6e6b7dd1baf7d4f6","target":"graph","created_at":"2026-05-18T00:31:24Z","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":"Most estimates for penalised linear regression can be viewed as posterior modes for an appropriate choice of prior distribution. Bayesian shrinkage methods, particularly the horseshoe estimator, have recently attracted a great deal of attention in the problem of estimating sparse, high-dimensional linear models. This paper extends these ideas, and presents a Bayesian grouped model with continuous global-local shrinkage priors to handle complex group hierarchies that include overlapping and multilevel group structures. As the posterior mean is never a sparse estimate of the linear model coeffic","authors_text":"Daniel F. Schmidt, Enes Makalic, Guoqi Qian, John L. Hopper, Zemei Xu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2017-09-13T13:58:26Z","title":"Bayesian Sparse Global-Local Shrinkage Regression for Selection of Grouped Variables"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.04333","kind":"arxiv","version":3},"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":"sha256:88898ddfe67235857e196d22395e6e34b5ec6760ada6f277c9e13c03d521abc8","target":"record","created_at":"2026-05-18T00:31:24Z","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":"057f585b0379149ec461bda33f312a605ac2f85fc8d815a2225892be13cc8208","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2017-09-13T13:58:26Z","title_canon_sha256":"20ab9309ee35e19d596aecee6b3e6c9393a41d3292af1accb859ab971fa213f1"},"schema_version":"1.0","source":{"id":"1709.04333","kind":"arxiv","version":3}},"canonical_sha256":"955affa67ed7a0b2644746e45426b59e43a9fa1e3faca7994d6ec2510b4d3b22","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"955affa67ed7a0b2644746e45426b59e43a9fa1e3faca7994d6ec2510b4d3b22","first_computed_at":"2026-05-18T00:31:24.684175Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:31:24.684175Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9XB8ZO4wMcvW0S7Av/yeTuA+DD3jU32VDYTWLNlL6UAVY7aGDkFDY+WujodC5gZVBEJUL+GLkJi87ohhc2UxBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:31:24.684694Z","signed_message":"canonical_sha256_bytes"},"source_id":"1709.04333","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:88898ddfe67235857e196d22395e6e34b5ec6760ada6f277c9e13c03d521abc8","sha256:c8a6c5c876f7ff9c3df69963c6a7dee4d537e7761080f1fe6e6b7dd1baf7d4f6"],"state_sha256":"bbb17f653b72151f951aa0a039ba952bcb7d3eccd261bde69fd35e96b091a8cd"}