{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:UDF3OJPCK52RUYQCKSBZPKC6J2","short_pith_number":"pith:UDF3OJPC","canonical_record":{"source":{"id":"1905.09561","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2019-05-23T09:55:09Z","cross_cats_sorted":["stat.ML"],"title_canon_sha256":"47579ef471f6e11b17ba05ad3aca9037f10af3eb7d899d85be4d8b2dd283725f","abstract_canon_sha256":"7b765f0f93654e05af90e175f97f4d85c915c5862899d9fbf4d95ace6d4bb7da"},"schema_version":"1.0"},"canonical_sha256":"a0cbb725e257751a6202548397a85e4ea8c9a9c1176dbf7ec4b2286d7da1ac8c","source":{"kind":"arxiv","id":"1905.09561","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1905.09561","created_at":"2026-05-17T23:45:16Z"},{"alias_kind":"arxiv_version","alias_value":"1905.09561v1","created_at":"2026-05-17T23:45:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.09561","created_at":"2026-05-17T23:45:16Z"},{"alias_kind":"pith_short_12","alias_value":"UDF3OJPCK52R","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_16","alias_value":"UDF3OJPCK52RUYQC","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_8","alias_value":"UDF3OJPC","created_at":"2026-05-18T12:33:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:UDF3OJPCK52RUYQCKSBZPKC6J2","target":"record","payload":{"canonical_record":{"source":{"id":"1905.09561","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2019-05-23T09:55:09Z","cross_cats_sorted":["stat.ML"],"title_canon_sha256":"47579ef471f6e11b17ba05ad3aca9037f10af3eb7d899d85be4d8b2dd283725f","abstract_canon_sha256":"7b765f0f93654e05af90e175f97f4d85c915c5862899d9fbf4d95ace6d4bb7da"},"schema_version":"1.0"},"canonical_sha256":"a0cbb725e257751a6202548397a85e4ea8c9a9c1176dbf7ec4b2286d7da1ac8c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:45:16.729298Z","signature_b64":"iaW/NFXWKy3jzRmhis5PpyPKn9aQ1FXgiGxOiRXdTosYHspLfUCA521qMsFjIzZyACRMEb54CR8rCDv6LBoUCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a0cbb725e257751a6202548397a85e4ea8c9a9c1176dbf7ec4b2286d7da1ac8c","last_reissued_at":"2026-05-17T23:45:16.728652Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:45:16.728652Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1905.09561","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":"2026-05-17T23:45:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WDEo5SEQGpHm+XyBLhsNKuqrUhW0Bksh5jHlLvlUN5/gyLGxbCUoIGdOvIt3IFqrQSXRLJex9WBhwX4SScjjBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T20:22:43.112306Z"},"content_sha256":"4761501321f28c31b06151f7377f70b3f0375279ffb135bd386053d6683841e6","schema_version":"1.0","event_id":"sha256:4761501321f28c31b06151f7377f70b3f0375279ffb135bd386053d6683841e6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:UDF3OJPCK52RUYQCKSBZPKC6J2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Binary Classification with Bounded Abstention Rate","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.ML"],"primary_cat":"cs.LG","authors_text":"Mohammad Ghavamzadeh, Shubhanshu Shekhar, Tara Javidi","submitted_at":"2019-05-23T09:55:09Z","abstract_excerpt":"We consider the problem of binary classification with abstention in the relatively less studied \\emph{bounded-rate} setting. We begin by obtaining a characterization of the Bayes optimal classifier for an arbitrary input-label distribution $P_{XY}$. Our result generalizes and provides an alternative proof for the result first obtained by \\cite{chow1957optimum}, and then re-derived by \\citet{denis2015consistency}, under a continuity assumption on $P_{XY}$. We then propose a plug-in classifier that employs unlabeled samples to decide the region of abstention and derive an upper-bound on the exce"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.09561","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":"2026-05-17T23:45:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XLdB0+GU+Hyre22p69XgLRptNBzeuRT6uVmhMAgOxj4EoNk0hMX6NnOuT+Oi/T68VAz9XO7wpIXyxAzs10RaDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T20:22:43.112667Z"},"content_sha256":"755d1d8f41866e818d5017f7318c06716360156dcf34d423346ef0ee35fcccb5","schema_version":"1.0","event_id":"sha256:755d1d8f41866e818d5017f7318c06716360156dcf34d423346ef0ee35fcccb5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UDF3OJPCK52RUYQCKSBZPKC6J2/bundle.json","state_url":"https://pith.science/pith/UDF3OJPCK52RUYQCKSBZPKC6J2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UDF3OJPCK52RUYQCKSBZPKC6J2/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":"2026-05-31T20:22:43Z","links":{"resolver":"https://pith.science/pith/UDF3OJPCK52RUYQCKSBZPKC6J2","bundle":"https://pith.science/pith/UDF3OJPCK52RUYQCKSBZPKC6J2/bundle.json","state":"https://pith.science/pith/UDF3OJPCK52RUYQCKSBZPKC6J2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UDF3OJPCK52RUYQCKSBZPKC6J2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:UDF3OJPCK52RUYQCKSBZPKC6J2","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":"7b765f0f93654e05af90e175f97f4d85c915c5862899d9fbf4d95ace6d4bb7da","cross_cats_sorted":["stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2019-05-23T09:55:09Z","title_canon_sha256":"47579ef471f6e11b17ba05ad3aca9037f10af3eb7d899d85be4d8b2dd283725f"},"schema_version":"1.0","source":{"id":"1905.09561","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1905.09561","created_at":"2026-05-17T23:45:16Z"},{"alias_kind":"arxiv_version","alias_value":"1905.09561v1","created_at":"2026-05-17T23:45:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.09561","created_at":"2026-05-17T23:45:16Z"},{"alias_kind":"pith_short_12","alias_value":"UDF3OJPCK52R","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_16","alias_value":"UDF3OJPCK52RUYQC","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_8","alias_value":"UDF3OJPC","created_at":"2026-05-18T12:33:30Z"}],"graph_snapshots":[{"event_id":"sha256:755d1d8f41866e818d5017f7318c06716360156dcf34d423346ef0ee35fcccb5","target":"graph","created_at":"2026-05-17T23:45:16Z","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 consider the problem of binary classification with abstention in the relatively less studied \\emph{bounded-rate} setting. We begin by obtaining a characterization of the Bayes optimal classifier for an arbitrary input-label distribution $P_{XY}$. Our result generalizes and provides an alternative proof for the result first obtained by \\cite{chow1957optimum}, and then re-derived by \\citet{denis2015consistency}, under a continuity assumption on $P_{XY}$. We then propose a plug-in classifier that employs unlabeled samples to decide the region of abstention and derive an upper-bound on the exce","authors_text":"Mohammad Ghavamzadeh, Shubhanshu Shekhar, Tara Javidi","cross_cats":["stat.ML"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2019-05-23T09:55:09Z","title":"Binary Classification with Bounded Abstention Rate"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.09561","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":"sha256:4761501321f28c31b06151f7377f70b3f0375279ffb135bd386053d6683841e6","target":"record","created_at":"2026-05-17T23:45:16Z","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":"7b765f0f93654e05af90e175f97f4d85c915c5862899d9fbf4d95ace6d4bb7da","cross_cats_sorted":["stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2019-05-23T09:55:09Z","title_canon_sha256":"47579ef471f6e11b17ba05ad3aca9037f10af3eb7d899d85be4d8b2dd283725f"},"schema_version":"1.0","source":{"id":"1905.09561","kind":"arxiv","version":1}},"canonical_sha256":"a0cbb725e257751a6202548397a85e4ea8c9a9c1176dbf7ec4b2286d7da1ac8c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a0cbb725e257751a6202548397a85e4ea8c9a9c1176dbf7ec4b2286d7da1ac8c","first_computed_at":"2026-05-17T23:45:16.728652Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:45:16.728652Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"iaW/NFXWKy3jzRmhis5PpyPKn9aQ1FXgiGxOiRXdTosYHspLfUCA521qMsFjIzZyACRMEb54CR8rCDv6LBoUCA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:45:16.729298Z","signed_message":"canonical_sha256_bytes"},"source_id":"1905.09561","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4761501321f28c31b06151f7377f70b3f0375279ffb135bd386053d6683841e6","sha256:755d1d8f41866e818d5017f7318c06716360156dcf34d423346ef0ee35fcccb5"],"state_sha256":"a5e9dd6cd6a76afa0598560ae7a90e57a52c06374cddd17a3cbd3bebb182624d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7TWGiDRCArdZCoVr7UyJPA5y+oJOS3ts83a1EYKR5Yt1BFQOz1kAsWEI7vTK655X2EjoRFYndFyRq2PgVKXODw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T20:22:43.114511Z","bundle_sha256":"2fcfb165c24325d3116b0272033724e1155abeb1132b2fec8014a07560a69c44"}}