{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:BH4BU2KFYZKOLJCS7UMFKZZAIM","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":"7921474a5e733dbee9ba6c0cdb8ecb7d19ddc51316392313169d9f7f7fce3f56","cross_cats_sorted":["stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2015-08-18T23:47:28Z","title_canon_sha256":"1d0c0840d0bfb3dd56d8f2f954add481810943844f92cb50d5ebf1e189a679ea"},"schema_version":"1.0","source":{"id":"1508.04486","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1508.04486","created_at":"2026-05-18T01:35:02Z"},{"alias_kind":"arxiv_version","alias_value":"1508.04486v1","created_at":"2026-05-18T01:35:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.04486","created_at":"2026-05-18T01:35:02Z"},{"alias_kind":"pith_short_12","alias_value":"BH4BU2KFYZKO","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_16","alias_value":"BH4BU2KFYZKOLJCS","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_8","alias_value":"BH4BU2KF","created_at":"2026-05-18T12:29:14Z"}],"graph_snapshots":[{"event_id":"sha256:5338ccbe42a90caf59d25dc08188ca57e2596da683a50666f5d7a339df44955d","target":"graph","created_at":"2026-05-18T01:35:02Z","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 develop a parameter estimation method for factorially parametrized models such as Factorial Gaussian Mixture Model and Factorial Hidden Markov Model. Our contributions are two-fold. First, we show that the emission matrix of the standard Factorial Model is unidentifiable even if the true assignment matrix is known. Secondly, we address the issue of identifiability by making a one component sharing assumption and derive a parameter learning algorithm for this case. Our approach is based on a dictionary learning problem of the form $X = O R$, where the goal is to learn the dict","authors_text":"Johannes Traa, Noah Stein, Paris Smaragdis, Y. Cem Subakan","cross_cats":["stat.ML"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2015-08-18T23:47:28Z","title":"A Dictionary Learning Approach for Factorial Gaussian Models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.04486","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:f0fda8dce7177a563f242846aea80d617e28d402dfff11ed1991ba913cd83443","target":"record","created_at":"2026-05-18T01:35:02Z","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":"7921474a5e733dbee9ba6c0cdb8ecb7d19ddc51316392313169d9f7f7fce3f56","cross_cats_sorted":["stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2015-08-18T23:47:28Z","title_canon_sha256":"1d0c0840d0bfb3dd56d8f2f954add481810943844f92cb50d5ebf1e189a679ea"},"schema_version":"1.0","source":{"id":"1508.04486","kind":"arxiv","version":1}},"canonical_sha256":"09f81a6945c654e5a452fd18556720433c70734bf21edbf987fed5ec7b65b869","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"09f81a6945c654e5a452fd18556720433c70734bf21edbf987fed5ec7b65b869","first_computed_at":"2026-05-18T01:35:02.681761Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:35:02.681761Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yLSsMhDF47C1zeCmA3GV4s3ZKF0lCEwbz7S+iyEF+eJXZx/pcIt/cqupDuXu24KvM0CXe/XTFBXWOnJ+Gw3XAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:35:02.682296Z","signed_message":"canonical_sha256_bytes"},"source_id":"1508.04486","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f0fda8dce7177a563f242846aea80d617e28d402dfff11ed1991ba913cd83443","sha256:5338ccbe42a90caf59d25dc08188ca57e2596da683a50666f5d7a339df44955d"],"state_sha256":"ca1d431428f807e0fc921cb20900c15274dab008d8af39b957e259a17aeaafcc"}