{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:4BK4M345VSVISX7OX4QWI4Q6FV","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":"d3f2bddb856f5089d8e3a18ab188dd2187ae3fa7a0121ae03e8ce136a47017f9","cross_cats_sorted":["stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2018-11-27T13:43:37Z","title_canon_sha256":"9b0cc974c4bdeb4fcb156beb2ccc44e713ecef8bf53d2f6bd764f5c7103b389b"},"schema_version":"1.0","source":{"id":"1811.10978","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.10978","created_at":"2026-05-17T23:59:45Z"},{"alias_kind":"arxiv_version","alias_value":"1811.10978v1","created_at":"2026-05-17T23:59:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.10978","created_at":"2026-05-17T23:59:45Z"},{"alias_kind":"pith_short_12","alias_value":"4BK4M345VSVI","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_16","alias_value":"4BK4M345VSVISX7O","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_8","alias_value":"4BK4M345","created_at":"2026-05-18T12:32:05Z"}],"graph_snapshots":[{"event_id":"sha256:d122ede8b4b61dfcb69a00fb2d44dcc6b19d229de7792d1e5cc10ddefc78efe3","target":"graph","created_at":"2026-05-17T23:59:45Z","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":"Standard kernels such as Mat\\'ern or RBF kernels only encode simple monotonic dependencies within the input space. Spectral mixture kernels have been proposed as general-purpose, flexible kernels for learning and discovering more complicated patterns in the data. Spectral mixture kernels have recently been generalized into non-stationary kernels by replacing the mixture weights, frequency means and variances by input-dependent functions. These functions have also been modelled as Gaussian processes on their own. In this paper we propose modelling the hyperparameter functions with neural networ","authors_text":"Markus Heinonen, Sami Remes, Samuel Kaski","cross_cats":["stat.ML"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2018-11-27T13:43:37Z","title":"Neural Non-Stationary Spectral Kernel"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.10978","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":"sha256:943a41dc8b12d5b1d12f526ed0d9dce775992628db99f2c058a7f9fc736aee47","target":"record","created_at":"2026-05-17T23:59:45Z","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":"d3f2bddb856f5089d8e3a18ab188dd2187ae3fa7a0121ae03e8ce136a47017f9","cross_cats_sorted":["stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2018-11-27T13:43:37Z","title_canon_sha256":"9b0cc974c4bdeb4fcb156beb2ccc44e713ecef8bf53d2f6bd764f5c7103b389b"},"schema_version":"1.0","source":{"id":"1811.10978","kind":"arxiv","version":1}},"canonical_sha256":"e055c66f9dacaa895feebf2164721e2d7c1d1718af5b0afe255ff2ea74482f4f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e055c66f9dacaa895feebf2164721e2d7c1d1718af5b0afe255ff2ea74482f4f","first_computed_at":"2026-05-17T23:59:45.577515Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:59:45.577515Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nzJ7A209T47qOWrPVCu3N+MnU5peI8+DzC2yPU+4MmC6vcR5I64cfcot4NHf9wYoM95wKQxmJJI8BynHhWsCAg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:59:45.577990Z","signed_message":"canonical_sha256_bytes"},"source_id":"1811.10978","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:943a41dc8b12d5b1d12f526ed0d9dce775992628db99f2c058a7f9fc736aee47","sha256:d122ede8b4b61dfcb69a00fb2d44dcc6b19d229de7792d1e5cc10ddefc78efe3"],"state_sha256":"08703d3c2f8eeaa7bdba93bebc07f75d6f1c9bf6d19e19603731d63f6ccb4c45"}