{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:7WR3KKHVY4QRWUES62EPS34PTW","short_pith_number":"pith:7WR3KKHV","canonical_record":{"source":{"id":"1711.08911","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2017-11-24T10:10:15Z","cross_cats_sorted":["math.ST","stat.TH"],"title_canon_sha256":"15d05aeb98197b55a27dd06479eabffd7dd861361d57e8cfd7efac57070bcc9a","abstract_canon_sha256":"14be2d7c2f92044f095bfb14e0292e47a17da478a9dc96a77446e71b2050d6c0"},"schema_version":"1.0"},"canonical_sha256":"fda3b528f5c7211b5092f688f96f8f9db538fdffff7781d491c121bc9ca3b874","source":{"kind":"arxiv","id":"1711.08911","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.08911","created_at":"2026-05-18T00:29:41Z"},{"alias_kind":"arxiv_version","alias_value":"1711.08911v1","created_at":"2026-05-18T00:29:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.08911","created_at":"2026-05-18T00:29:41Z"},{"alias_kind":"pith_short_12","alias_value":"7WR3KKHVY4QR","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_16","alias_value":"7WR3KKHVY4QRWUES","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_8","alias_value":"7WR3KKHV","created_at":"2026-05-18T12:31:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:7WR3KKHVY4QRWUES62EPS34PTW","target":"record","payload":{"canonical_record":{"source":{"id":"1711.08911","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2017-11-24T10:10:15Z","cross_cats_sorted":["math.ST","stat.TH"],"title_canon_sha256":"15d05aeb98197b55a27dd06479eabffd7dd861361d57e8cfd7efac57070bcc9a","abstract_canon_sha256":"14be2d7c2f92044f095bfb14e0292e47a17da478a9dc96a77446e71b2050d6c0"},"schema_version":"1.0"},"canonical_sha256":"fda3b528f5c7211b5092f688f96f8f9db538fdffff7781d491c121bc9ca3b874","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:29:41.753563Z","signature_b64":"AbpWAJ6+PrBXsR8lLkuPIrYkbDRTf9dSO9aSK16fPGM4t3FaOF3GYIIYF/QSnZM66w8T9Nt91psGvXV90UbJCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fda3b528f5c7211b5092f688f96f8f9db538fdffff7781d491c121bc9ca3b874","last_reissued_at":"2026-05-18T00:29:41.752928Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:29:41.752928Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1711.08911","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:29:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2+SBbLOEolOOuZsrWY4QCbGmNEsMOLJpMoASA8P66bzQ5xxueAekS2Nxxnf+g5EkerWkQ+09rF28uzCiX2F3Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T01:02:18.484436Z"},"content_sha256":"fecbc10f3961e793340b4f874d125b8ac45adc38a3d8336149ba1a303a394d5c","schema_version":"1.0","event_id":"sha256:fecbc10f3961e793340b4f874d125b8ac45adc38a3d8336149ba1a303a394d5c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:7WR3KKHVY4QRWUES62EPS34PTW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Computing the quality of the Laplace approximation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.ST","stat.TH"],"primary_cat":"stat.ML","authors_text":"Guillaume P. Dehaene","submitted_at":"2017-11-24T10:10:15Z","abstract_excerpt":"Bayesian inference requires approximation methods to become computable, but for most of them it is impossible to quantify how close the approximation is to the true posterior. In this work, we present a theorem upper-bounding the KL divergence between a log-concave target density $f\\left(\\boldsymbol{\\theta}\\right)$ and its Laplace approximation $g\\left(\\boldsymbol{\\theta}\\right)$. The bound we present is computable: on the classical logistic regression model, we find our bound to be almost exact as long as the dimensionality of the parameter space is high.\n  The approach we followed in this wo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.08911","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:29:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"chaZXpJoyHN/+9+WJMWTzpdLe/tFfMwyZlIDBH5FJw/bka/3qxN2OpWa0N+9GAjIZ5XN/yfit+RbwQnzpMpTCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T01:02:18.484886Z"},"content_sha256":"84c35c76b0c4f938aa4c2ef5a68e2140828030cdf9050fe434a48e8af3eeb612","schema_version":"1.0","event_id":"sha256:84c35c76b0c4f938aa4c2ef5a68e2140828030cdf9050fe434a48e8af3eeb612"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7WR3KKHVY4QRWUES62EPS34PTW/bundle.json","state_url":"https://pith.science/pith/7WR3KKHVY4QRWUES62EPS34PTW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7WR3KKHVY4QRWUES62EPS34PTW/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-04T01:02:18Z","links":{"resolver":"https://pith.science/pith/7WR3KKHVY4QRWUES62EPS34PTW","bundle":"https://pith.science/pith/7WR3KKHVY4QRWUES62EPS34PTW/bundle.json","state":"https://pith.science/pith/7WR3KKHVY4QRWUES62EPS34PTW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7WR3KKHVY4QRWUES62EPS34PTW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:7WR3KKHVY4QRWUES62EPS34PTW","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":"14be2d7c2f92044f095bfb14e0292e47a17da478a9dc96a77446e71b2050d6c0","cross_cats_sorted":["math.ST","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2017-11-24T10:10:15Z","title_canon_sha256":"15d05aeb98197b55a27dd06479eabffd7dd861361d57e8cfd7efac57070bcc9a"},"schema_version":"1.0","source":{"id":"1711.08911","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.08911","created_at":"2026-05-18T00:29:41Z"},{"alias_kind":"arxiv_version","alias_value":"1711.08911v1","created_at":"2026-05-18T00:29:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.08911","created_at":"2026-05-18T00:29:41Z"},{"alias_kind":"pith_short_12","alias_value":"7WR3KKHVY4QR","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_16","alias_value":"7WR3KKHVY4QRWUES","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_8","alias_value":"7WR3KKHV","created_at":"2026-05-18T12:31:05Z"}],"graph_snapshots":[{"event_id":"sha256:84c35c76b0c4f938aa4c2ef5a68e2140828030cdf9050fe434a48e8af3eeb612","target":"graph","created_at":"2026-05-18T00:29:41Z","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":"Bayesian inference requires approximation methods to become computable, but for most of them it is impossible to quantify how close the approximation is to the true posterior. In this work, we present a theorem upper-bounding the KL divergence between a log-concave target density $f\\left(\\boldsymbol{\\theta}\\right)$ and its Laplace approximation $g\\left(\\boldsymbol{\\theta}\\right)$. The bound we present is computable: on the classical logistic regression model, we find our bound to be almost exact as long as the dimensionality of the parameter space is high.\n  The approach we followed in this wo","authors_text":"Guillaume P. Dehaene","cross_cats":["math.ST","stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2017-11-24T10:10:15Z","title":"Computing the quality of the Laplace approximation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.08911","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:fecbc10f3961e793340b4f874d125b8ac45adc38a3d8336149ba1a303a394d5c","target":"record","created_at":"2026-05-18T00:29:41Z","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":"14be2d7c2f92044f095bfb14e0292e47a17da478a9dc96a77446e71b2050d6c0","cross_cats_sorted":["math.ST","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2017-11-24T10:10:15Z","title_canon_sha256":"15d05aeb98197b55a27dd06479eabffd7dd861361d57e8cfd7efac57070bcc9a"},"schema_version":"1.0","source":{"id":"1711.08911","kind":"arxiv","version":1}},"canonical_sha256":"fda3b528f5c7211b5092f688f96f8f9db538fdffff7781d491c121bc9ca3b874","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fda3b528f5c7211b5092f688f96f8f9db538fdffff7781d491c121bc9ca3b874","first_computed_at":"2026-05-18T00:29:41.752928Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:29:41.752928Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AbpWAJ6+PrBXsR8lLkuPIrYkbDRTf9dSO9aSK16fPGM4t3FaOF3GYIIYF/QSnZM66w8T9Nt91psGvXV90UbJCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:29:41.753563Z","signed_message":"canonical_sha256_bytes"},"source_id":"1711.08911","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fecbc10f3961e793340b4f874d125b8ac45adc38a3d8336149ba1a303a394d5c","sha256:84c35c76b0c4f938aa4c2ef5a68e2140828030cdf9050fe434a48e8af3eeb612"],"state_sha256":"1ddf65e316abeced1e901299677e50ef2f96d609e782e82a3415f8688c6faedf"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qNqRbT9ga+/YWKO4Im6+eaXLzutpZE/M8WLOcsN8h1krzs4/gPZxkc092brPliOrOaVStGo15FymwNNia4l9AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T01:02:18.488534Z","bundle_sha256":"d51ab15aa1eff6f4ffec822766766c57675b7be2dc1936279eb5a2ca2c92a28e"}}