{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:VACNYS6N6UD7BKXABLG2V4H6IW","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":"3983ac25ae41abb5fd573fce085bd46e7c51a23b194c31f55c53b383553941f3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2015-01-31T03:40:17Z","title_canon_sha256":"db4554bd145426c6b88c47fd9a3a44a968f6130efad61312914f1683a1e0ac59"},"schema_version":"1.0","source":{"id":"1502.00064","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.00064","created_at":"2026-05-18T02:28:12Z"},{"alias_kind":"arxiv_version","alias_value":"1502.00064v1","created_at":"2026-05-18T02:28:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.00064","created_at":"2026-05-18T02:28:12Z"},{"alias_kind":"pith_short_12","alias_value":"VACNYS6N6UD7","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_16","alias_value":"VACNYS6N6UD7BKXA","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_8","alias_value":"VACNYS6N","created_at":"2026-05-18T12:29:44Z"}],"graph_snapshots":[{"event_id":"sha256:62e19cd0959109fb73e54f2d781c37b7313b1888e8e6ca6db00c2f8f0633f7c6","target":"graph","created_at":"2026-05-18T02:28:12Z","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":"We propose a batchwise monotone algorithm for dictionary learning. Unlike the state-of-the-art dictionary learning algorithms which impose sparsity constraints on a sample-by-sample basis, we instead treat the samples as a batch, and impose the sparsity constraint on the whole. The benefit of batchwise optimization is that the non-zeros can be better allocated across the samples, leading to a better approximation of the whole. To accomplish this, we propose procedures to switch non-zeros in both rows and columns in the support of the coefficient matrix to reduce the reconstruction error. We pr","authors_text":"Daniel Spielman, Huan Wang, John Wright","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2015-01-31T03:40:17Z","title":"A Batchwise Monotone Algorithm for Dictionary Learning"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.00064","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":"sha256:665253dfa276d5a0e558d728d05273a5135f07850307d47fbd0bdaee16d58dc7","target":"record","created_at":"2026-05-18T02:28:12Z","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":"3983ac25ae41abb5fd573fce085bd46e7c51a23b194c31f55c53b383553941f3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2015-01-31T03:40:17Z","title_canon_sha256":"db4554bd145426c6b88c47fd9a3a44a968f6130efad61312914f1683a1e0ac59"},"schema_version":"1.0","source":{"id":"1502.00064","kind":"arxiv","version":1}},"canonical_sha256":"a804dc4bcdf507f0aae00acdaaf0fe458c8362196abaa1f43c32342aac8d4b3a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a804dc4bcdf507f0aae00acdaaf0fe458c8362196abaa1f43c32342aac8d4b3a","first_computed_at":"2026-05-18T02:28:12.891628Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:28:12.891628Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Io8SIj3k6VipKNG5g63m3uM6SI1Uv5qujZT+Ig+Mq/HxvbKvgv4O5E/T8+4oqN3qrIbjdOtccuuTAj0VLzUwAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:28:12.892213Z","signed_message":"canonical_sha256_bytes"},"source_id":"1502.00064","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:665253dfa276d5a0e558d728d05273a5135f07850307d47fbd0bdaee16d58dc7","sha256:62e19cd0959109fb73e54f2d781c37b7313b1888e8e6ca6db00c2f8f0633f7c6"],"state_sha256":"9ecddb9af1c72fcedf98ab545d8cfaa0ed5a30a3b6aebc409f09c5a79e356a37"}