{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:MZYXV3DZ5HQ7A3UPJGZLANBQJV","short_pith_number":"pith:MZYXV3DZ","schema_version":"1.0","canonical_sha256":"66717aec79e9e1f06e8f49b2b034304d7e7897ae6f8ece3c99a0276a6f7760eb","source":{"kind":"arxiv","id":"1902.03726","version":2},"attestation_state":"computed","paper":{"title":"New Algorithms and Improved Guarantees for One-Bit Compressed Sensing on Manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Aaron Nelson, Eric Lybrand, Mark Iwen, Rayan Saab","submitted_at":"2019-02-11T04:34:16Z","abstract_excerpt":"We study the problem of approximately recovering signals on a manifold from one-bit linear measurements drawn from either a Gaussian ensemble, partial circulant ensemble, or bounded orthonormal ensemble and quantized using Sigma-Delta or distributed noise shaping schemes. We assume we are given a Geometric Multi-Resolution Analysis, which approximates the manifold, and we propose a convex optimization algorithm for signal recovery. We prove an upper bound on the recovery error which outperforms prior works that use memoryless scalar quantization, requires a simpler analysis, and extends the cl"},"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":"1902.03726","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2019-02-11T04:34:16Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"76f8fa300eb39a8fa9ec85c3c826a02dffc5152f7376e9dee658e7d3208bc733","abstract_canon_sha256":"38ee29a7ed04093c1746e5085f24a9cb8bc5cc80d01fdf6912159590a74101e1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:47:50.666732Z","signature_b64":"HHP5h2eNoa1VeO59QhKD7MlT8hP/KULG2B9SHB8ErWPgbC2oswMqPdsH+mALf3eeKwjpq98JEI2pbAdJmTMjDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"66717aec79e9e1f06e8f49b2b034304d7e7897ae6f8ece3c99a0276a6f7760eb","last_reissued_at":"2026-05-17T23:47:50.666160Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:47:50.666160Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"New Algorithms and Improved Guarantees for One-Bit Compressed Sensing on Manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Aaron Nelson, Eric Lybrand, Mark Iwen, Rayan Saab","submitted_at":"2019-02-11T04:34:16Z","abstract_excerpt":"We study the problem of approximately recovering signals on a manifold from one-bit linear measurements drawn from either a Gaussian ensemble, partial circulant ensemble, or bounded orthonormal ensemble and quantized using Sigma-Delta or distributed noise shaping schemes. We assume we are given a Geometric Multi-Resolution Analysis, which approximates the manifold, and we propose a convex optimization algorithm for signal recovery. We prove an upper bound on the recovery error which outperforms prior works that use memoryless scalar quantization, requires a simpler analysis, and extends the cl"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.03726","kind":"arxiv","version":2},"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":"1902.03726","created_at":"2026-05-17T23:47:50.666241+00:00"},{"alias_kind":"arxiv_version","alias_value":"1902.03726v2","created_at":"2026-05-17T23:47:50.666241+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.03726","created_at":"2026-05-17T23:47:50.666241+00:00"},{"alias_kind":"pith_short_12","alias_value":"MZYXV3DZ5HQ7","created_at":"2026-05-18T12:33:24.271573+00:00"},{"alias_kind":"pith_short_16","alias_value":"MZYXV3DZ5HQ7A3UP","created_at":"2026-05-18T12:33:24.271573+00:00"},{"alias_kind":"pith_short_8","alias_value":"MZYXV3DZ","created_at":"2026-05-18T12:33:24.271573+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/MZYXV3DZ5HQ7A3UPJGZLANBQJV","json":"https://pith.science/pith/MZYXV3DZ5HQ7A3UPJGZLANBQJV.json","graph_json":"https://pith.science/api/pith-number/MZYXV3DZ5HQ7A3UPJGZLANBQJV/graph.json","events_json":"https://pith.science/api/pith-number/MZYXV3DZ5HQ7A3UPJGZLANBQJV/events.json","paper":"https://pith.science/paper/MZYXV3DZ"},"agent_actions":{"view_html":"https://pith.science/pith/MZYXV3DZ5HQ7A3UPJGZLANBQJV","download_json":"https://pith.science/pith/MZYXV3DZ5HQ7A3UPJGZLANBQJV.json","view_paper":"https://pith.science/paper/MZYXV3DZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1902.03726&json=true","fetch_graph":"https://pith.science/api/pith-number/MZYXV3DZ5HQ7A3UPJGZLANBQJV/graph.json","fetch_events":"https://pith.science/api/pith-number/MZYXV3DZ5HQ7A3UPJGZLANBQJV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MZYXV3DZ5HQ7A3UPJGZLANBQJV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MZYXV3DZ5HQ7A3UPJGZLANBQJV/action/storage_attestation","attest_author":"https://pith.science/pith/MZYXV3DZ5HQ7A3UPJGZLANBQJV/action/author_attestation","sign_citation":"https://pith.science/pith/MZYXV3DZ5HQ7A3UPJGZLANBQJV/action/citation_signature","submit_replication":"https://pith.science/pith/MZYXV3DZ5HQ7A3UPJGZLANBQJV/action/replication_record"}},"created_at":"2026-05-17T23:47:50.666241+00:00","updated_at":"2026-05-17T23:47:50.666241+00:00"}