{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:LLXYETFGU7JUAWVTHPF6KCOX3G","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":"89488da31f82e1e6ceb1d7bf0ec905fb3543c80f462d4a99a4fcc91053ee1fca","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2013-11-09T12:59:17Z","title_canon_sha256":"48a772a9d7c3ea871cbbf441ac4d3dd3bb22a93f1297bddca008b694d81a035e"},"schema_version":"1.0","source":{"id":"1311.2166","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.2166","created_at":"2026-05-18T01:30:35Z"},{"alias_kind":"arxiv_version","alias_value":"1311.2166v2","created_at":"2026-05-18T01:30:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.2166","created_at":"2026-05-18T01:30:35Z"},{"alias_kind":"pith_short_12","alias_value":"LLXYETFGU7JU","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_16","alias_value":"LLXYETFGU7JUAWVT","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_8","alias_value":"LLXYETFG","created_at":"2026-05-18T12:27:51Z"}],"graph_snapshots":[{"event_id":"sha256:cf68841f28f593063f1bb9ad1578a5a1ec22c13ae2a6ee9346ac630122062b72","target":"graph","created_at":"2026-05-18T01:30:35Z","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 present a new approach to sample from generic binary distributions, based on an exact Hamiltonian Monte Carlo algorithm applied to a piecewise continuous augmentation of the binary distribution of interest. An extension of this idea to distributions over mixtures of binary and possibly-truncated Gaussian or exponential variables allows us to sample from posteriors of linear and probit regression models with spike-and-slab priors and truncated parameters. We illustrate the advantages of these algorithms in several examples in which they outperform the Metropolis or Gibbs samplers.","authors_text":"Ari Pakman, Liam Paninski","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2013-11-09T12:59:17Z","title":"Auxiliary-variable Exact Hamiltonian Monte Carlo Samplers for Binary Distributions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.2166","kind":"arxiv","version":2},"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":"sha256:7e6f43a2ae538b5543172214414aece754f992a4d09e48a34929d13f683d13eb","target":"record","created_at":"2026-05-18T01:30:35Z","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":"89488da31f82e1e6ceb1d7bf0ec905fb3543c80f462d4a99a4fcc91053ee1fca","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2013-11-09T12:59:17Z","title_canon_sha256":"48a772a9d7c3ea871cbbf441ac4d3dd3bb22a93f1297bddca008b694d81a035e"},"schema_version":"1.0","source":{"id":"1311.2166","kind":"arxiv","version":2}},"canonical_sha256":"5aef824ca6a7d3405ab33bcbe509d7d9972e42e4b0db1713b5e0f9a0ce7e9738","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5aef824ca6a7d3405ab33bcbe509d7d9972e42e4b0db1713b5e0f9a0ce7e9738","first_computed_at":"2026-05-18T01:30:35.606258Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:30:35.606258Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XXH+qqdAPVr15iZdGHVit5vtUP1yAMLlNhZf+WrWr7E2EAAjeN2ORU1uAGz3bN2BxNoUvpfagpUC5bhF/prADg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:30:35.606938Z","signed_message":"canonical_sha256_bytes"},"source_id":"1311.2166","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7e6f43a2ae538b5543172214414aece754f992a4d09e48a34929d13f683d13eb","sha256:cf68841f28f593063f1bb9ad1578a5a1ec22c13ae2a6ee9346ac630122062b72"],"state_sha256":"f96b0078fcb19a200cd9e15856b6bc2186e29b4443c4ba32f908bd43b03fc5de"}