{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:LUN4XPLNZHG46GUHB77VL2S3SB","short_pith_number":"pith:LUN4XPLN","canonical_record":{"source":{"id":"1912.10200","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2019-12-21T05:11:12Z","cross_cats_sorted":["stat.ML"],"title_canon_sha256":"ab5f022ba47a94640ab12a951948919e563a768d62136a2507da5f2c5ce5e90d","abstract_canon_sha256":"2175f0c76c8bda9473d59318ea3bc0c60bb96656304f751629ce18f3c7b450e8"},"schema_version":"1.0"},"canonical_sha256":"5d1bcbbd6dc9cdcf1a870fff55ea5b90555fc1082429b4cbab59ba2b847d3018","source":{"kind":"arxiv","id":"1912.10200","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1912.10200","created_at":"2026-07-05T01:49:14Z"},{"alias_kind":"arxiv_version","alias_value":"1912.10200v3","created_at":"2026-07-05T01:49:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1912.10200","created_at":"2026-07-05T01:49:14Z"},{"alias_kind":"pith_short_12","alias_value":"LUN4XPLNZHG4","created_at":"2026-07-05T01:49:14Z"},{"alias_kind":"pith_short_16","alias_value":"LUN4XPLNZHG46GUH","created_at":"2026-07-05T01:49:14Z"},{"alias_kind":"pith_short_8","alias_value":"LUN4XPLN","created_at":"2026-07-05T01:49:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:LUN4XPLNZHG46GUHB77VL2S3SB","target":"record","payload":{"canonical_record":{"source":{"id":"1912.10200","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2019-12-21T05:11:12Z","cross_cats_sorted":["stat.ML"],"title_canon_sha256":"ab5f022ba47a94640ab12a951948919e563a768d62136a2507da5f2c5ce5e90d","abstract_canon_sha256":"2175f0c76c8bda9473d59318ea3bc0c60bb96656304f751629ce18f3c7b450e8"},"schema_version":"1.0"},"canonical_sha256":"5d1bcbbd6dc9cdcf1a870fff55ea5b90555fc1082429b4cbab59ba2b847d3018","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:49:14.727173Z","signature_b64":"SEtCc7gOitEzjyZn2ji72b8xG8HYDkJiaXJ8PvLwEH6T3lLptdcbt0Q3F/TGetrht73ZsPECkmrExIr2s6I9Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5d1bcbbd6dc9cdcf1a870fff55ea5b90555fc1082429b4cbab59ba2b847d3018","last_reissued_at":"2026-07-05T01:49:14.726705Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:49:14.726705Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1912.10200","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T01:49:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oHDEsHHZ3CzfeLSCj0KrH924zFinvjLhgUbwcqsWb8HdcgutvHaeolbZAcOB3B+Zl6mGCKRkb09lcSBA8dSRDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T19:50:34.854315Z"},"content_sha256":"84cdf3e94f9a530bc8dd93d04c96bc5f1b7f2e2d9110edc95490b876ba4ffb5a","schema_version":"1.0","event_id":"sha256:84cdf3e94f9a530bc8dd93d04c96bc5f1b7f2e2d9110edc95490b876ba4ffb5a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:LUN4XPLNZHG46GUHB77VL2S3SB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantile Propagation for Wasserstein-Approximate Gaussian Processes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.ML"],"primary_cat":"cs.LG","authors_text":"Christian J. Walder, Edwin V. Bonilla, Lexing Xie, Marian-Andrei Rizoiu, Rui Zhang","submitted_at":"2019-12-21T05:11:12Z","abstract_excerpt":"Approximate inference techniques are the cornerstone of probabilistic methods based on Gaussian process priors. Despite this, most work approximately optimizes standard divergence measures such as the Kullback-Leibler (KL) divergence, which lack the basic desiderata for the task at hand, while chiefly offering merely technical convenience. We develop a new approximate inference method for Gaussian process models which overcomes the technical challenges arising from abandoning these convenient divergences. Our method---dubbed Quantile Propagation (QP)---is similar to expectation propagation (EP"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1912.10200","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1912.10200/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T01:49:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rx0rEoeTXO/E+sO/U+LPhw8Pzryo4roZBP5tPUGs6wr+7uU+drDb6WyH/1AdBiYTviqDzg0saICkGCBZ94wYBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T19:50:34.855723Z"},"content_sha256":"7409570ab7af6b6c70918de6fb2113872f10747cea3d8d26a90b4e39f7f606c5","schema_version":"1.0","event_id":"sha256:7409570ab7af6b6c70918de6fb2113872f10747cea3d8d26a90b4e39f7f606c5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LUN4XPLNZHG46GUHB77VL2S3SB/bundle.json","state_url":"https://pith.science/pith/LUN4XPLNZHG46GUHB77VL2S3SB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LUN4XPLNZHG46GUHB77VL2S3SB/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":"2026-08-05T19:50:34Z","links":{"resolver":"https://pith.science/pith/LUN4XPLNZHG46GUHB77VL2S3SB","bundle":"https://pith.science/pith/LUN4XPLNZHG46GUHB77VL2S3SB/bundle.json","state":"https://pith.science/pith/LUN4XPLNZHG46GUHB77VL2S3SB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LUN4XPLNZHG46GUHB77VL2S3SB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:LUN4XPLNZHG46GUHB77VL2S3SB","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":"2175f0c76c8bda9473d59318ea3bc0c60bb96656304f751629ce18f3c7b450e8","cross_cats_sorted":["stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2019-12-21T05:11:12Z","title_canon_sha256":"ab5f022ba47a94640ab12a951948919e563a768d62136a2507da5f2c5ce5e90d"},"schema_version":"1.0","source":{"id":"1912.10200","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1912.10200","created_at":"2026-07-05T01:49:14Z"},{"alias_kind":"arxiv_version","alias_value":"1912.10200v3","created_at":"2026-07-05T01:49:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1912.10200","created_at":"2026-07-05T01:49:14Z"},{"alias_kind":"pith_short_12","alias_value":"LUN4XPLNZHG4","created_at":"2026-07-05T01:49:14Z"},{"alias_kind":"pith_short_16","alias_value":"LUN4XPLNZHG46GUH","created_at":"2026-07-05T01:49:14Z"},{"alias_kind":"pith_short_8","alias_value":"LUN4XPLN","created_at":"2026-07-05T01:49:14Z"}],"graph_snapshots":[{"event_id":"sha256:7409570ab7af6b6c70918de6fb2113872f10747cea3d8d26a90b4e39f7f606c5","target":"graph","created_at":"2026-07-05T01:49:14Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1912.10200/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Approximate inference techniques are the cornerstone of probabilistic methods based on Gaussian process priors. Despite this, most work approximately optimizes standard divergence measures such as the Kullback-Leibler (KL) divergence, which lack the basic desiderata for the task at hand, while chiefly offering merely technical convenience. We develop a new approximate inference method for Gaussian process models which overcomes the technical challenges arising from abandoning these convenient divergences. Our method---dubbed Quantile Propagation (QP)---is similar to expectation propagation (EP","authors_text":"Christian J. Walder, Edwin V. Bonilla, Lexing Xie, Marian-Andrei Rizoiu, Rui Zhang","cross_cats":["stat.ML"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2019-12-21T05:11:12Z","title":"Quantile Propagation for Wasserstein-Approximate Gaussian Processes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1912.10200","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":"sha256:84cdf3e94f9a530bc8dd93d04c96bc5f1b7f2e2d9110edc95490b876ba4ffb5a","target":"record","created_at":"2026-07-05T01:49:14Z","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":"2175f0c76c8bda9473d59318ea3bc0c60bb96656304f751629ce18f3c7b450e8","cross_cats_sorted":["stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2019-12-21T05:11:12Z","title_canon_sha256":"ab5f022ba47a94640ab12a951948919e563a768d62136a2507da5f2c5ce5e90d"},"schema_version":"1.0","source":{"id":"1912.10200","kind":"arxiv","version":3}},"canonical_sha256":"5d1bcbbd6dc9cdcf1a870fff55ea5b90555fc1082429b4cbab59ba2b847d3018","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5d1bcbbd6dc9cdcf1a870fff55ea5b90555fc1082429b4cbab59ba2b847d3018","first_computed_at":"2026-07-05T01:49:14.726705Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:49:14.726705Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SEtCc7gOitEzjyZn2ji72b8xG8HYDkJiaXJ8PvLwEH6T3lLptdcbt0Q3F/TGetrht73ZsPECkmrExIr2s6I9Cw==","signature_status":"signed_v1","signed_at":"2026-07-05T01:49:14.727173Z","signed_message":"canonical_sha256_bytes"},"source_id":"1912.10200","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:84cdf3e94f9a530bc8dd93d04c96bc5f1b7f2e2d9110edc95490b876ba4ffb5a","sha256:7409570ab7af6b6c70918de6fb2113872f10747cea3d8d26a90b4e39f7f606c5"],"state_sha256":"ecee2cfa06d8080584b46220e42a16629043848e6d139cf84b1463295e7eb9ef"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"v2Ov6Eoo6b/UnurRYydwChPa2XILTxPmniTOgAuDlqLrJ3b0Y7jl9KWfAsZpaeVgztJVmROi1l5fezimC262Aw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T19:50:34.861036Z","bundle_sha256":"78b497baa421e1f95fa3ab4af44b24d387b6669d70fa97048e7e13cf4deb098d"}}