{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:7ISFPLWTNBRRP6LN3MSAAFSMMP","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":"6b441558d72de8b1c7b071130ea3d2f766995607254f45c9cff2da33a1ce7594","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2020-03-21T14:45:43Z","title_canon_sha256":"59812d02c732bbbdd2f4ff62d44a237b14478ab47deb867a10fc6079e9789fa5"},"schema_version":"1.0","source":{"id":"2003.09673","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2003.09673","created_at":"2026-07-05T00:49:46Z"},{"alias_kind":"arxiv_version","alias_value":"2003.09673v1","created_at":"2026-07-05T00:49:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2003.09673","created_at":"2026-07-05T00:49:46Z"},{"alias_kind":"pith_short_12","alias_value":"7ISFPLWTNBRR","created_at":"2026-07-05T00:49:46Z"},{"alias_kind":"pith_short_16","alias_value":"7ISFPLWTNBRRP6LN","created_at":"2026-07-05T00:49:46Z"},{"alias_kind":"pith_short_8","alias_value":"7ISFPLWT","created_at":"2026-07-05T00:49:46Z"}],"graph_snapshots":[{"event_id":"sha256:dd492a91879423c5d9ef80d462648c7c51599d631e2ef777f084687a67c3f7df","target":"graph","created_at":"2026-07-05T00:49:46Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2003.09673/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We investigate the unconstrained global optimization of functions with low effective dimensionality, that are constant along certain (unknown) linear subspaces. Extending the technique of random subspace embeddings in [Wang et al., Bayesian optimization in a billion dimensions via random embeddings. JAIR, 55(1): 361--387, 2016], we study a generic Random Embeddings for Global Optimization (REGO) framework that is compatible with any global minimization algorithm. Instead of the original, potentially large-scale optimization problem, within REGO, a Gaussian random, low-dimensional problem with ","authors_text":"Adilet Otemissov, Coralia Cartis","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2020-03-21T14:45:43Z","title":"A dimensionality reduction technique for unconstrained global optimization of functions with low effective dimensionality"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2003.09673","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:a630d00627386870dcd3310c454029ed34833ad34a51ce5bbf48fd310ae2274b","target":"record","created_at":"2026-07-05T00:49:46Z","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":"6b441558d72de8b1c7b071130ea3d2f766995607254f45c9cff2da33a1ce7594","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2020-03-21T14:45:43Z","title_canon_sha256":"59812d02c732bbbdd2f4ff62d44a237b14478ab47deb867a10fc6079e9789fa5"},"schema_version":"1.0","source":{"id":"2003.09673","kind":"arxiv","version":1}},"canonical_sha256":"fa2457aed3686317f96ddb2400164c63c8af691f0263ad9dfeecbbe82e57d32c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fa2457aed3686317f96ddb2400164c63c8af691f0263ad9dfeecbbe82e57d32c","first_computed_at":"2026-07-05T00:49:46.003137Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:49:46.003137Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yvLXHP9Wrx91I84t9p/ZFabkJiE02EFGchsIo+O8JO3c/+9NZwWVDrXq8AjAj1/ItuT7bY6p+sasr6kRitTPBw==","signature_status":"signed_v1","signed_at":"2026-07-05T00:49:46.003498Z","signed_message":"canonical_sha256_bytes"},"source_id":"2003.09673","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a630d00627386870dcd3310c454029ed34833ad34a51ce5bbf48fd310ae2274b","sha256:dd492a91879423c5d9ef80d462648c7c51599d631e2ef777f084687a67c3f7df"],"state_sha256":"0fea0c6306e7eaf1432eed92f7707e05dc8aec08ba8b442d955604169cc4f535"}