{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:D6JHFXG5XRUQ7XMUDCO6ZRPNFP","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":"5a51c8853fa4e810f877d3bf6f6cd4f86635d6ece2e5338f03057c6da0301b3e","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2018-01-31T10:05:22Z","title_canon_sha256":"ca35d119f4d32bda794652fe67163a6650ac8966d3df48961f7d4fe90c6a50d6"},"schema_version":"1.0","source":{"id":"1801.10381","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.10381","created_at":"2026-05-18T00:24:40Z"},{"alias_kind":"arxiv_version","alias_value":"1801.10381v1","created_at":"2026-05-18T00:24:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.10381","created_at":"2026-05-18T00:24:40Z"},{"alias_kind":"pith_short_12","alias_value":"D6JHFXG5XRUQ","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_16","alias_value":"D6JHFXG5XRUQ7XMU","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_8","alias_value":"D6JHFXG5","created_at":"2026-05-18T12:32:19Z"}],"graph_snapshots":[{"event_id":"sha256:1119061c7d5f4cf03dc98d4f1a47e6a9ea7a576c9dce9cc24ca99aa071c5ce20","target":"graph","created_at":"2026-05-18T00:24:40Z","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":"A statistical model is said to be un-normalised when its likelihood function involves an intractable normalising constant. Two popular methods for parameter inference for these models are MC-MLE (Monte Carlo maximum likelihood estimation), and NCE (noise contrastive estimation); both methods rely on simulating artificial data-points to approximate the normalising constant. While the asymptotics of MC-MLE have been established under general hypotheses (Geyer, 1994), this is not so for NCE. We establish consistency and asymptotic normality of NCE estimators under mild assumptions. We compare NCE","authors_text":"Lionel Riou-Durand, Nicolas Chopin","cross_cats":["stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2018-01-31T10:05:22Z","title":"Noise contrastive estimation: asymptotics, comparison with MC-MLE"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.10381","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":"sha256:17daadcbc39773db8c65e56fdb88bd9917051f4ebe7fabba5d14956d6db00fe9","target":"record","created_at":"2026-05-18T00:24:40Z","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":"5a51c8853fa4e810f877d3bf6f6cd4f86635d6ece2e5338f03057c6da0301b3e","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2018-01-31T10:05:22Z","title_canon_sha256":"ca35d119f4d32bda794652fe67163a6650ac8966d3df48961f7d4fe90c6a50d6"},"schema_version":"1.0","source":{"id":"1801.10381","kind":"arxiv","version":1}},"canonical_sha256":"1f9272dcddbc690fdd94189decc5ed2bdc9a8e9c98a87e72d797a6168b1f4b9a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1f9272dcddbc690fdd94189decc5ed2bdc9a8e9c98a87e72d797a6168b1f4b9a","first_computed_at":"2026-05-18T00:24:40.962543Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:24:40.962543Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VmQdYBB4Dey9HJ1NGm1RvvpUZjUzRFuAV8sKcbjcL7qdw2MqJA7S33NGRNz43XMv331SpipSYXxhgF4iIK6nCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:24:40.963195Z","signed_message":"canonical_sha256_bytes"},"source_id":"1801.10381","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:17daadcbc39773db8c65e56fdb88bd9917051f4ebe7fabba5d14956d6db00fe9","sha256:1119061c7d5f4cf03dc98d4f1a47e6a9ea7a576c9dce9cc24ca99aa071c5ce20"],"state_sha256":"2196e5b682428bafdfe00cfe9372e4929d790564f0dff98b89a877443d8ee98a"}