{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:SIL54PD4E6SH2TG4632Q3VY4NP","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":"292a2517396d356392a1c7083f20a338499cf33872ddf3e495035fe20b26f79d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2016-03-16T10:04:38Z","title_canon_sha256":"03e562831d2901e496bf90631b905ad38bc701662fc9501053cf90c7084ed80f"},"schema_version":"1.0","source":{"id":"1603.05015","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.05015","created_at":"2026-05-18T01:18:58Z"},{"alias_kind":"arxiv_version","alias_value":"1603.05015v1","created_at":"2026-05-18T01:18:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.05015","created_at":"2026-05-18T01:18:58Z"},{"alias_kind":"pith_short_12","alias_value":"SIL54PD4E6SH","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_16","alias_value":"SIL54PD4E6SH2TG4","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_8","alias_value":"SIL54PD4","created_at":"2026-05-18T12:30:44Z"}],"graph_snapshots":[{"event_id":"sha256:42d5822f3abd5449f32018a4eae040d0a991573bcbd7c30ea3cc3445dc60b253","target":"graph","created_at":"2026-05-18T01:18:58Z","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":"Consider an ill-posed inverse problem of estimating causal factors from observations, one of which is known to lie near some (un- known) low-dimensional, non-linear manifold expressed by a predefined Mercer-kernel. Solving this problem requires simultaneous estimation of these factors and learning the low-dimensional representation for them. In this work, we introduce a novel non-linear dimensionality regulariza- tion technique for solving such problems without pre-training. We re-formulate Kernel-PCA as an energy minimization problem in which low dimensionality constraints are introduced as r","authors_text":"Anders Eriksson, Ian Reid, Ravi Garg","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2016-03-16T10:04:38Z","title":"Non-linear Dimensionality Regularizer for Solving Inverse Problems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.05015","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:b199dd96334fe3f64ca12b9b0d7a54fcb684e242ed237a4a096a6ea028bd06c7","target":"record","created_at":"2026-05-18T01:18:58Z","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":"292a2517396d356392a1c7083f20a338499cf33872ddf3e495035fe20b26f79d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2016-03-16T10:04:38Z","title_canon_sha256":"03e562831d2901e496bf90631b905ad38bc701662fc9501053cf90c7084ed80f"},"schema_version":"1.0","source":{"id":"1603.05015","kind":"arxiv","version":1}},"canonical_sha256":"9217de3c7c27a47d4cdcf6f50dd71c6bd26bddc695f47c670eef9ecf63898de8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9217de3c7c27a47d4cdcf6f50dd71c6bd26bddc695f47c670eef9ecf63898de8","first_computed_at":"2026-05-18T01:18:58.187967Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:18:58.187967Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bwR58f7a2wCGI6XkeyBUN0qgIxfI1x0r40k4+xydk9Yh2KXW2AcLZdNhnAJmzdQepntgszb8Njbh1A6kI+FLDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:18:58.188311Z","signed_message":"canonical_sha256_bytes"},"source_id":"1603.05015","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b199dd96334fe3f64ca12b9b0d7a54fcb684e242ed237a4a096a6ea028bd06c7","sha256:42d5822f3abd5449f32018a4eae040d0a991573bcbd7c30ea3cc3445dc60b253"],"state_sha256":"e2ae4b8fee2242c30a8c80ae1a3d9d6b76415b9531ead80094313f35ec0839b4"}