{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:KKJHAEEW6LRGGPND2YIR2WA3US","short_pith_number":"pith:KKJHAEEW","canonical_record":{"source":{"id":"1903.11908","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2019-03-28T11:59:29Z","cross_cats_sorted":[],"title_canon_sha256":"38b717664aa2ea132ce29ff821d2ce4f8246e7bde3a8b07bcb38d7cfb9e0af3c","abstract_canon_sha256":"2b02dd720380c93dad88560c2d4f20f361d5bb59c84b2468cc733652af722911"},"schema_version":"1.0"},"canonical_sha256":"5292701096f2e2633da3d6111d581ba4ac5653dba31f1a0e47b99d1de51ea23c","source":{"kind":"arxiv","id":"1903.11908","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1903.11908","created_at":"2026-05-17T23:49:14Z"},{"alias_kind":"arxiv_version","alias_value":"1903.11908v3","created_at":"2026-05-17T23:49:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.11908","created_at":"2026-05-17T23:49:14Z"},{"alias_kind":"pith_short_12","alias_value":"KKJHAEEW6LRG","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_16","alias_value":"KKJHAEEW6LRGGPND","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_8","alias_value":"KKJHAEEW","created_at":"2026-05-18T12:33:21Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:KKJHAEEW6LRGGPND2YIR2WA3US","target":"record","payload":{"canonical_record":{"source":{"id":"1903.11908","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2019-03-28T11:59:29Z","cross_cats_sorted":[],"title_canon_sha256":"38b717664aa2ea132ce29ff821d2ce4f8246e7bde3a8b07bcb38d7cfb9e0af3c","abstract_canon_sha256":"2b02dd720380c93dad88560c2d4f20f361d5bb59c84b2468cc733652af722911"},"schema_version":"1.0"},"canonical_sha256":"5292701096f2e2633da3d6111d581ba4ac5653dba31f1a0e47b99d1de51ea23c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:49:14.355043Z","signature_b64":"nppt8fjCWIA2hRT7sM0J4GfbadUzsguQZXLsF1b+YcysgyuvXdOaXL0Ri1QBvtqK5PhY+jP6GxvqdxbvRK2GCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5292701096f2e2633da3d6111d581ba4ac5653dba31f1a0e47b99d1de51ea23c","last_reissued_at":"2026-05-17T23:49:14.354376Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:49:14.354376Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1903.11908","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":"2026-05-17T23:49:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uO7k+iw1sMW/qWvKOHvLzeREEKSQGJu0dFsYWjoB0hdPNAaDivNB8cOY/xKh3y1D3LbeGcwkMOlCmmCOehUfBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T11:16:38.320324Z"},"content_sha256":"8720657878e5b4568602f55ba969851a3b41e0a60511b004e2f0cd4c0d57cc91","schema_version":"1.0","event_id":"sha256:8720657878e5b4568602f55ba969851a3b41e0a60511b004e2f0cd4c0d57cc91"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:KKJHAEEW6LRGGPND2YIR2WA3US","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Generalizing the Balance Heuristic Estimator in Multiple Importance Sampling","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.CO","authors_text":"Mateu Sbert, V\\'ictor Elvira","submitted_at":"2019-03-28T11:59:29Z","abstract_excerpt":"In this paper, we propose a novel and generic family of multiple importance sampling estimators. We first revisit the celebrated balance heuristic estimator, a widely used Monte Carlo technique for the approximation of intractable integrals. Then, we establish a generalized framework for the combination of samples simulated from multiple proposals. We show that the novel framework contains the balance heuristic as a particular case. In addition, we study the optimal choice of the free parameters in such a way the variance of the resulting estimator is minimized. A theoretical variance study sh"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.11908","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":""},"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":"2026-05-17T23:49:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"k9InRhoxjQ7KO0QawWzcVRwFDOcBYWeManQw5V2qUMD9E9DYs4Q9B2PPxXUQClS3b34Kp2zDJPWZ/u8ME+nADQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T11:16:38.320848Z"},"content_sha256":"ad29c7029fa9a78cba28ecf91bbd7322067b2ebeacfffd5bfb740b5bcc54b25d","schema_version":"1.0","event_id":"sha256:ad29c7029fa9a78cba28ecf91bbd7322067b2ebeacfffd5bfb740b5bcc54b25d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KKJHAEEW6LRGGPND2YIR2WA3US/bundle.json","state_url":"https://pith.science/pith/KKJHAEEW6LRGGPND2YIR2WA3US/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KKJHAEEW6LRGGPND2YIR2WA3US/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":"2026-08-16T11:16:38Z","links":{"resolver":"https://pith.science/pith/KKJHAEEW6LRGGPND2YIR2WA3US","bundle":"https://pith.science/pith/KKJHAEEW6LRGGPND2YIR2WA3US/bundle.json","state":"https://pith.science/pith/KKJHAEEW6LRGGPND2YIR2WA3US/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KKJHAEEW6LRGGPND2YIR2WA3US/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:KKJHAEEW6LRGGPND2YIR2WA3US","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":"2b02dd720380c93dad88560c2d4f20f361d5bb59c84b2468cc733652af722911","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2019-03-28T11:59:29Z","title_canon_sha256":"38b717664aa2ea132ce29ff821d2ce4f8246e7bde3a8b07bcb38d7cfb9e0af3c"},"schema_version":"1.0","source":{"id":"1903.11908","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1903.11908","created_at":"2026-05-17T23:49:14Z"},{"alias_kind":"arxiv_version","alias_value":"1903.11908v3","created_at":"2026-05-17T23:49:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.11908","created_at":"2026-05-17T23:49:14Z"},{"alias_kind":"pith_short_12","alias_value":"KKJHAEEW6LRG","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_16","alias_value":"KKJHAEEW6LRGGPND","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_8","alias_value":"KKJHAEEW","created_at":"2026-05-18T12:33:21Z"}],"graph_snapshots":[{"event_id":"sha256:ad29c7029fa9a78cba28ecf91bbd7322067b2ebeacfffd5bfb740b5bcc54b25d","target":"graph","created_at":"2026-05-17T23:49:14Z","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"},"paper":{"abstract_excerpt":"In this paper, we propose a novel and generic family of multiple importance sampling estimators. We first revisit the celebrated balance heuristic estimator, a widely used Monte Carlo technique for the approximation of intractable integrals. Then, we establish a generalized framework for the combination of samples simulated from multiple proposals. We show that the novel framework contains the balance heuristic as a particular case. In addition, we study the optimal choice of the free parameters in such a way the variance of the resulting estimator is minimized. A theoretical variance study sh","authors_text":"Mateu Sbert, V\\'ictor Elvira","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2019-03-28T11:59:29Z","title":"Generalizing the Balance Heuristic Estimator in Multiple Importance Sampling"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.11908","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":"sha256:8720657878e5b4568602f55ba969851a3b41e0a60511b004e2f0cd4c0d57cc91","target":"record","created_at":"2026-05-17T23:49:14Z","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":"2b02dd720380c93dad88560c2d4f20f361d5bb59c84b2468cc733652af722911","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2019-03-28T11:59:29Z","title_canon_sha256":"38b717664aa2ea132ce29ff821d2ce4f8246e7bde3a8b07bcb38d7cfb9e0af3c"},"schema_version":"1.0","source":{"id":"1903.11908","kind":"arxiv","version":3}},"canonical_sha256":"5292701096f2e2633da3d6111d581ba4ac5653dba31f1a0e47b99d1de51ea23c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5292701096f2e2633da3d6111d581ba4ac5653dba31f1a0e47b99d1de51ea23c","first_computed_at":"2026-05-17T23:49:14.354376Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:49:14.354376Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nppt8fjCWIA2hRT7sM0J4GfbadUzsguQZXLsF1b+YcysgyuvXdOaXL0Ri1QBvtqK5PhY+jP6GxvqdxbvRK2GCA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:49:14.355043Z","signed_message":"canonical_sha256_bytes"},"source_id":"1903.11908","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8720657878e5b4568602f55ba969851a3b41e0a60511b004e2f0cd4c0d57cc91","sha256:ad29c7029fa9a78cba28ecf91bbd7322067b2ebeacfffd5bfb740b5bcc54b25d"],"state_sha256":"0abc4952c477539d7e0ef2fd3cb2f38c1f2973be434ae1f709510e09f16e66f7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jLOmDnaBBFf/UAyeLHH9nLfI/ybOmTwnurqnrQucyuJsSZzTUN9Hk48XJcTUsZuY0PqKNhY6a0rvONS3fufXBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-16T11:16:38.324364Z","bundle_sha256":"29036dec4eb39a58363097d45074f9ae4512495a59287eb9f85701e3eb9f06d0"}}