{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:RCX3KDF5K4VPZ332TBPYGVLZRE","short_pith_number":"pith:RCX3KDF5","schema_version":"1.0","canonical_sha256":"88afb50cbd572afcef7a985f835579890ff5ec9d1c9e8d712065dc4a180b8105","source":{"kind":"arxiv","id":"1608.01234","version":3},"attestation_state":"computed","paper":{"title":"Fast Algorithms for Demixing Sparse Signals from Nonlinear Observations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.ML","authors_text":"Chinmay Hegde, Mohammadreza Soltani","submitted_at":"2016-08-03T16:03:25Z","abstract_excerpt":"We study the problem of demixing a pair of sparse signals from noisy, nonlinear observations of their superposition. Mathematically, we consider a nonlinear signal observation model, $y_i = g(a_i^Tx) + e_i, \\ i=1,\\ldots,m$, where $x = \\Phi w+\\Psi z$ denotes the superposition signal, $\\Phi$ and $\\Psi$ are orthonormal bases in $\\mathbb{R}^n$, and $w, z\\in\\mathbb{R}^n$ are sparse coefficient vectors of the constituent signals, and $e_i$ represents the noise. Moreover, $g$ represents a nonlinear link function, and $a_i\\in\\mathbb{R}^n$ is the $i$-th row of the measurement matrix, $A\\in\\mathbb{R}^{m"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1608.01234","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2016-08-03T16:03:25Z","cross_cats_sorted":[],"title_canon_sha256":"15b0c66af2a74c1c3ef15e43ddc5a39a063ee410315a39ecfecfd8d809389609","abstract_canon_sha256":"4c8e5ce94efafca2ca494e600e8d258c424bd7b4623069b2c18458df1645a686"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:39:02.444071Z","signature_b64":"xfAoWdCUd5Z782j2duric6ykL3GWy6myc7afJ7ntk09BHiDJFLzb7ivtyTfmUa5Vtx35yXjIf+16JhahwKPSAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"88afb50cbd572afcef7a985f835579890ff5ec9d1c9e8d712065dc4a180b8105","last_reissued_at":"2026-05-18T00:39:02.443473Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:39:02.443473Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Fast Algorithms for Demixing Sparse Signals from Nonlinear Observations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.ML","authors_text":"Chinmay Hegde, Mohammadreza Soltani","submitted_at":"2016-08-03T16:03:25Z","abstract_excerpt":"We study the problem of demixing a pair of sparse signals from noisy, nonlinear observations of their superposition. Mathematically, we consider a nonlinear signal observation model, $y_i = g(a_i^Tx) + e_i, \\ i=1,\\ldots,m$, where $x = \\Phi w+\\Psi z$ denotes the superposition signal, $\\Phi$ and $\\Psi$ are orthonormal bases in $\\mathbb{R}^n$, and $w, z\\in\\mathbb{R}^n$ are sparse coefficient vectors of the constituent signals, and $e_i$ represents the noise. Moreover, $g$ represents a nonlinear link function, and $a_i\\in\\mathbb{R}^n$ is the $i$-th row of the measurement matrix, $A\\in\\mathbb{R}^{m"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.01234","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1608.01234","created_at":"2026-05-18T00:39:02.443554+00:00"},{"alias_kind":"arxiv_version","alias_value":"1608.01234v3","created_at":"2026-05-18T00:39:02.443554+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.01234","created_at":"2026-05-18T00:39:02.443554+00:00"},{"alias_kind":"pith_short_12","alias_value":"RCX3KDF5K4VP","created_at":"2026-05-18T12:30:41.710351+00:00"},{"alias_kind":"pith_short_16","alias_value":"RCX3KDF5K4VPZ332","created_at":"2026-05-18T12:30:41.710351+00:00"},{"alias_kind":"pith_short_8","alias_value":"RCX3KDF5","created_at":"2026-05-18T12:30:41.710351+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/RCX3KDF5K4VPZ332TBPYGVLZRE","json":"https://pith.science/pith/RCX3KDF5K4VPZ332TBPYGVLZRE.json","graph_json":"https://pith.science/api/pith-number/RCX3KDF5K4VPZ332TBPYGVLZRE/graph.json","events_json":"https://pith.science/api/pith-number/RCX3KDF5K4VPZ332TBPYGVLZRE/events.json","paper":"https://pith.science/paper/RCX3KDF5"},"agent_actions":{"view_html":"https://pith.science/pith/RCX3KDF5K4VPZ332TBPYGVLZRE","download_json":"https://pith.science/pith/RCX3KDF5K4VPZ332TBPYGVLZRE.json","view_paper":"https://pith.science/paper/RCX3KDF5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1608.01234&json=true","fetch_graph":"https://pith.science/api/pith-number/RCX3KDF5K4VPZ332TBPYGVLZRE/graph.json","fetch_events":"https://pith.science/api/pith-number/RCX3KDF5K4VPZ332TBPYGVLZRE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RCX3KDF5K4VPZ332TBPYGVLZRE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RCX3KDF5K4VPZ332TBPYGVLZRE/action/storage_attestation","attest_author":"https://pith.science/pith/RCX3KDF5K4VPZ332TBPYGVLZRE/action/author_attestation","sign_citation":"https://pith.science/pith/RCX3KDF5K4VPZ332TBPYGVLZRE/action/citation_signature","submit_replication":"https://pith.science/pith/RCX3KDF5K4VPZ332TBPYGVLZRE/action/replication_record"}},"created_at":"2026-05-18T00:39:02.443554+00:00","updated_at":"2026-05-18T00:39:02.443554+00:00"}