{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:7ZTMY4THUHCJLRSTLZYEEIQS2L","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":"7bd18057d8f20d5b3f0a5adfdc4c9d3d31fb8d3b4da30c63affc652f8fbeeb4f","cross_cats_sorted":["cs.DS","stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2019-06-29T04:15:33Z","title_canon_sha256":"4754ccb3a9f34c4815ffddac90d3deb65522a5da195d50716652e3f5fca80ec8"},"schema_version":"1.0","source":{"id":"1907.00141","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1907.00141","created_at":"2026-05-17T23:41:21Z"},{"alias_kind":"arxiv_version","alias_value":"1907.00141v2","created_at":"2026-05-17T23:41:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.00141","created_at":"2026-05-17T23:41:21Z"},{"alias_kind":"pith_short_12","alias_value":"7ZTMY4THUHCJ","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_16","alias_value":"7ZTMY4THUHCJLRST","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_8","alias_value":"7ZTMY4TH","created_at":"2026-05-18T12:33:12Z"}],"graph_snapshots":[{"event_id":"sha256:ad9bedd29e63f0af69a894a5ecd1bda67d16d9ad13f142f7da3954c474ceea0e","target":"graph","created_at":"2026-05-17T23:41:21Z","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 study the problem of recovering the latent ground truth labeling of a structured instance with categorical random variables in the presence of noisy observations. We present a new approximate algorithm for graphs with categorical variables that achieves low Hamming error in the presence of noisy vertex and edge observations. Our main result shows a logarithmic dependency of the Hamming error to the number of categories of the random variables. Our approach draws connections to correlation clustering with a fixed number of clusters. Our results generalize the works of Globerson et al. (2015)","authors_text":"Alireza Heidari, Ihab F. Ilyas, Theodoros Rekatsinas","cross_cats":["cs.DS","stat.ML"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2019-06-29T04:15:33Z","title":"Approximate Inference in Structured Instances with Noisy Categorical Observations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.00141","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":"sha256:72497aaeac2babbdc8e7c29d9a73d55376dabe324f7a6c8fbf2556c1b87d0413","target":"record","created_at":"2026-05-17T23:41:21Z","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":"7bd18057d8f20d5b3f0a5adfdc4c9d3d31fb8d3b4da30c63affc652f8fbeeb4f","cross_cats_sorted":["cs.DS","stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2019-06-29T04:15:33Z","title_canon_sha256":"4754ccb3a9f34c4815ffddac90d3deb65522a5da195d50716652e3f5fca80ec8"},"schema_version":"1.0","source":{"id":"1907.00141","kind":"arxiv","version":2}},"canonical_sha256":"fe66cc7267a1c495c6535e70422212d2cb170d19e0e30b551407697706ba43e2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fe66cc7267a1c495c6535e70422212d2cb170d19e0e30b551407697706ba43e2","first_computed_at":"2026-05-17T23:41:21.550937Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:41:21.550937Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6ApEZEHaludO3ErJoKbyykjVkvQZgMggWidbToHEH4zZyiZ+bVjeq9fiRKVXOp2pnhsUNALLXYTDu/x5LhwRAA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:41:21.551648Z","signed_message":"canonical_sha256_bytes"},"source_id":"1907.00141","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:72497aaeac2babbdc8e7c29d9a73d55376dabe324f7a6c8fbf2556c1b87d0413","sha256:ad9bedd29e63f0af69a894a5ecd1bda67d16d9ad13f142f7da3954c474ceea0e"],"state_sha256":"3967e6fc895f6180948f5d0d33878bfc9c214f190836e8a2d446f785c49734a9"}