{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:3ONNCYUW4OJUZOZ6UPRY5UAJAU","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":"2d22253e4007d9ff5d32da18379b6a3f69dfcdb73953ae5ab2ce08ef28741016","cross_cats_sorted":["cs.LG","stat.ME"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2013-02-20T14:53:13Z","title_canon_sha256":"8f33730e1994e2227fb357c72789e6656d4642159503f21f1abe3b8239827265"},"schema_version":"1.0","source":{"id":"1302.4922","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.4922","created_at":"2026-05-18T03:25:45Z"},{"alias_kind":"arxiv_version","alias_value":"1302.4922v4","created_at":"2026-05-18T03:25:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.4922","created_at":"2026-05-18T03:25:45Z"},{"alias_kind":"pith_short_12","alias_value":"3ONNCYUW4OJU","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_16","alias_value":"3ONNCYUW4OJUZOZ6","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_8","alias_value":"3ONNCYUW","created_at":"2026-05-18T12:27:32Z"}],"graph_snapshots":[{"event_id":"sha256:70b9401bab91bd92448ffa68c0ab77a0a9294dbad080ab1037d361820a2c2f8e","target":"graph","created_at":"2026-05-18T03:25:45Z","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":"Despite its importance, choosing the structural form of the kernel in nonparametric regression remains a black art. We define a space of kernel structures which are built compositionally by adding and multiplying a small number of base kernels. We present a method for searching over this space of structures which mirrors the scientific discovery process. The learned structures can often decompose functions into interpretable components and enable long-range extrapolation on time-series datasets. Our structure search method outperforms many widely used kernels and kernel combination methods on ","authors_text":"David Duvenaud, James Robert Lloyd, Joshua B. Tenenbaum, Roger Grosse, Zoubin Ghahramani","cross_cats":["cs.LG","stat.ME"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2013-02-20T14:53:13Z","title":"Structure Discovery in Nonparametric Regression through Compositional Kernel Search"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.4922","kind":"arxiv","version":4},"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:fc2f242db93200246f083f9bcf770b9eee68b66c191b33dddf2ff2c056e2b342","target":"record","created_at":"2026-05-18T03:25:45Z","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":"2d22253e4007d9ff5d32da18379b6a3f69dfcdb73953ae5ab2ce08ef28741016","cross_cats_sorted":["cs.LG","stat.ME"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2013-02-20T14:53:13Z","title_canon_sha256":"8f33730e1994e2227fb357c72789e6656d4642159503f21f1abe3b8239827265"},"schema_version":"1.0","source":{"id":"1302.4922","kind":"arxiv","version":4}},"canonical_sha256":"db9ad16296e3934cbb3ea3e38ed009051f702b21de46ca3087477dcce5ea7f72","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"db9ad16296e3934cbb3ea3e38ed009051f702b21de46ca3087477dcce5ea7f72","first_computed_at":"2026-05-18T03:25:45.853537Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:25:45.853537Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jNAhoVHsuHwOPFgG6F98MPW2YvdyRDpmWDvdNUGBYY6ndwTIM9Rc1iDaHfHBQMHpQFNUqTJGmvCU0/jzFy18Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:25:45.854361Z","signed_message":"canonical_sha256_bytes"},"source_id":"1302.4922","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fc2f242db93200246f083f9bcf770b9eee68b66c191b33dddf2ff2c056e2b342","sha256:70b9401bab91bd92448ffa68c0ab77a0a9294dbad080ab1037d361820a2c2f8e"],"state_sha256":"37a67ef8bce4654fb6c8cc1cf3345c5441b6c2d4818777afbb26ffd5ef6b7106"}