{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:RS27CA2ED34FF3CNT376NINSLO","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":"caea35ce49e8a97348b38ef67cc9b529ac02e9f42dfce13e0054f4c7af73dec6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2017-05-15T14:59:26Z","title_canon_sha256":"0a8b7f5aceb1f64744550450e684e5a61987849ab83f63dcf9bbe99a9b18bf1a"},"schema_version":"1.0","source":{"id":"1705.05278","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.05278","created_at":"2026-05-18T00:41:52Z"},{"alias_kind":"arxiv_version","alias_value":"1705.05278v2","created_at":"2026-05-18T00:41:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.05278","created_at":"2026-05-18T00:41:52Z"},{"alias_kind":"pith_short_12","alias_value":"RS27CA2ED34F","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_16","alias_value":"RS27CA2ED34FF3CN","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_8","alias_value":"RS27CA2E","created_at":"2026-05-18T12:31:39Z"}],"graph_snapshots":[{"event_id":"sha256:a13c1fd0752e260297dd4853c71fa3ac1dd265db33ec509f195899cb221ecd89","target":"graph","created_at":"2026-05-18T00:41:52Z","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":"Probability distributions produced by the cross-entropy loss for ordinal classification problems can possess undesired properties. We propose a straightforward technique to constrain discrete ordinal probability distributions to be unimodal via the use of the Poisson and binomial probability distributions. We evaluate this approach in the context of deep learning on two large ordinal image datasets, obtaining promising results.","authors_text":"Christopher Beckham, Christopher Pal","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2017-05-15T14:59:26Z","title":"Unimodal probability distributions for deep ordinal classification"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.05278","kind":"arxiv","version":2},"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":"sha256:1f13755254f51f017475c8d155527be003b09eae988a951e66a8cfc8c2730161","target":"record","created_at":"2026-05-18T00:41:52Z","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":"caea35ce49e8a97348b38ef67cc9b529ac02e9f42dfce13e0054f4c7af73dec6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2017-05-15T14:59:26Z","title_canon_sha256":"0a8b7f5aceb1f64744550450e684e5a61987849ab83f63dcf9bbe99a9b18bf1a"},"schema_version":"1.0","source":{"id":"1705.05278","kind":"arxiv","version":2}},"canonical_sha256":"8cb5f103441ef852ec4d9effe6a1b25bbf477f7806f3f1ca1d227cb64bdeafeb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8cb5f103441ef852ec4d9effe6a1b25bbf477f7806f3f1ca1d227cb64bdeafeb","first_computed_at":"2026-05-18T00:41:52.898811Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:41:52.898811Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GXC/Ya6qL+6IYbd0F98+pcPWM31owZhhHS6Fdpa4rD8abGD2ScxTypsw2yD6NxNf0sP9d+AUzg5jLPIc3evOBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:41:52.899368Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.05278","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1f13755254f51f017475c8d155527be003b09eae988a951e66a8cfc8c2730161","sha256:a13c1fd0752e260297dd4853c71fa3ac1dd265db33ec509f195899cb221ecd89"],"state_sha256":"1e183b11782901fee7d18a1467f652c151e63664b023c50443871d1669e23e67"}