{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:7ZAHDP7D4FWKTYOPOGAW6UUYNJ","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":"26df090420a10d54450956c75890d3888c3c4b5ce6a56f48b51c20afaeacfd20","cross_cats_sorted":["cs.AI","cs.LG","stat.AP","stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2019-02-11T23:49:03Z","title_canon_sha256":"4d74ad252a11ce0a48737214169891356af81ecdac58f4e14e453b0c8ebb83a1"},"schema_version":"1.0","source":{"id":"1902.04186","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.04186","created_at":"2026-05-17T23:54:12Z"},{"alias_kind":"arxiv_version","alias_value":"1902.04186v1","created_at":"2026-05-17T23:54:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.04186","created_at":"2026-05-17T23:54:12Z"},{"alias_kind":"pith_short_12","alias_value":"7ZAHDP7D4FWK","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_16","alias_value":"7ZAHDP7D4FWKTYOP","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_8","alias_value":"7ZAHDP7D","created_at":"2026-05-18T12:33:12Z"}],"graph_snapshots":[{"event_id":"sha256:e075871b147eea31bd1be1f8354647403b50c2ab20430e38962981292c9ba8d8","target":"graph","created_at":"2026-05-17T23:54:12Z","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":"Dictionary leaning (DL) and dimensionality reduction (DR) are powerful tools to analyze high-dimensional noisy signals. This paper presents a proposal of a novel Riemannian joint dimensionality reduction and dictionary learning (R-JDRDL) on symmetric positive definite (SPD) manifolds for classification tasks. The joint learning considers the interaction between dimensionality reduction and dictionary learning procedures by connecting them into a unified framework. We exploit a Riemannian optimization framework for solving DL and DR problems jointly. Finally, we demonstrate that the proposed R-","authors_text":"Bamdev Mishra, Hiroyuki Kasai","cross_cats":["cs.AI","cs.LG","stat.AP","stat.ML"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2019-02-11T23:49:03Z","title":"Riemannian joint dimensionality reduction and dictionary learning on symmetric positive definite manifold"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.04186","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":"sha256:25340abed5f85eb1aabd2d2fea588722dc43151cdd0a4517139a24997a028bc7","target":"record","created_at":"2026-05-17T23:54:12Z","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":"26df090420a10d54450956c75890d3888c3c4b5ce6a56f48b51c20afaeacfd20","cross_cats_sorted":["cs.AI","cs.LG","stat.AP","stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2019-02-11T23:49:03Z","title_canon_sha256":"4d74ad252a11ce0a48737214169891356af81ecdac58f4e14e453b0c8ebb83a1"},"schema_version":"1.0","source":{"id":"1902.04186","kind":"arxiv","version":1}},"canonical_sha256":"fe4071bfe3e16ca9e1cf71816f52986a5b5b0b7d296eabce1fc57115b15d4822","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fe4071bfe3e16ca9e1cf71816f52986a5b5b0b7d296eabce1fc57115b15d4822","first_computed_at":"2026-05-17T23:54:12.860113Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:54:12.860113Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"R4rkqaxXlsV88aF0UslQaZvSY+UJuSYiqQp/Et6DBdxQilKn+v3dLHAsQOEvaGYly80As6XiBf7o9gOecqixAw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:54:12.860701Z","signed_message":"canonical_sha256_bytes"},"source_id":"1902.04186","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:25340abed5f85eb1aabd2d2fea588722dc43151cdd0a4517139a24997a028bc7","sha256:e075871b147eea31bd1be1f8354647403b50c2ab20430e38962981292c9ba8d8"],"state_sha256":"f3b041f88f7c04bf64df859b2acd2d809a30e64de45afbe1d9911edb725ff2cb"}