{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:566LITNVGM47SF762DPEV4G5PL","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":"33d8d4a48fce9136a57a4e7880c519765d2c8b9d69914cb3a4cf7adf3b156e66","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-01-25T17:38:29Z","title_canon_sha256":"d8b59c254107edf026c9a828e6936f0c66b87384180bd389ec46fc39a9a487a0"},"schema_version":"1.0","source":{"id":"1801.08499","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.08499","created_at":"2026-05-17T23:47:16Z"},{"alias_kind":"arxiv_version","alias_value":"1801.08499v3","created_at":"2026-05-17T23:47:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.08499","created_at":"2026-05-17T23:47:16Z"},{"alias_kind":"pith_short_12","alias_value":"566LITNVGM47","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_16","alias_value":"566LITNVGM47SF76","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_8","alias_value":"566LITNV","created_at":"2026-05-18T12:32:05Z"}],"graph_snapshots":[{"event_id":"sha256:71d944d7ccb0332faf7713e1ca1be67c9837335216b7cd3a17db1f98e02f746e","target":"graph","created_at":"2026-05-17T23:47:16Z","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 consider the problem of learning a $d$-variate function $f$ defined on the cube $[-1,1]^d\\subset {\\mathbb R}^d$, where the algorithm is assumed to have black box access to samples of $f$ within this domain. Denote ${\\mathcal S}_r \\subset {[d] \\choose r}; r=1,\\dots,r_0$ to be sets consisting of unknown $r$-wise interactions amongst the coordinate variables. We then focus on the setting where $f$ has an additive structure, i.e., it can be represented as $$f = \\sum_{{\\mathbf j} \\in {\\mathcal S}_1} \\phi_{{\\mathbf j}} + \\sum_{{\\mathbf j} \\in {\\mathcal S}_2} \\phi_{{\\mathbf j}} + \\dots + \\sum_{{\\m","authors_text":"Hemant Tyagi, Jan Vybiral","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-01-25T17:38:29Z","title":"Learning general sparse additive models from point queries in high dimensions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.08499","kind":"arxiv","version":3},"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:cce2919e0c4ec885642441a9c5284fa4b84cc144a82c9f961331dafef83fc5d5","target":"record","created_at":"2026-05-17T23:47:16Z","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":"33d8d4a48fce9136a57a4e7880c519765d2c8b9d69914cb3a4cf7adf3b156e66","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-01-25T17:38:29Z","title_canon_sha256":"d8b59c254107edf026c9a828e6936f0c66b87384180bd389ec46fc39a9a487a0"},"schema_version":"1.0","source":{"id":"1801.08499","kind":"arxiv","version":3}},"canonical_sha256":"efbcb44db53339f917fed0de4af0dd7ac6adf7fa4769ba4db3308624907d77cd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"efbcb44db53339f917fed0de4af0dd7ac6adf7fa4769ba4db3308624907d77cd","first_computed_at":"2026-05-17T23:47:16.104605Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:47:16.104605Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nbDFt1bKuIjMAtrnvzJM2bSff12vQXe0U9BXituH2DO3DHyccWLfu8SUkpAbtSar2hCCL6WfncU5s57HUdoMCg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:47:16.104987Z","signed_message":"canonical_sha256_bytes"},"source_id":"1801.08499","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cce2919e0c4ec885642441a9c5284fa4b84cc144a82c9f961331dafef83fc5d5","sha256:71d944d7ccb0332faf7713e1ca1be67c9837335216b7cd3a17db1f98e02f746e"],"state_sha256":"6c80107f5f3284320e3400e9f5fbb13cebd79c04865a1b67db56aeb9134e9d2a"}