{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:TMPQUM3AGD6YEK6ET33QRZI5YE","short_pith_number":"pith:TMPQUM3A","schema_version":"1.0","canonical_sha256":"9b1f0a336030fd822bc49ef708e51dc12f39bd86098c19bb957f4f04a8480494","source":{"kind":"arxiv","id":"1607.02801","version":2},"attestation_state":"computed","paper":{"title":"Bounds on the Number of Measurements for Reliable Compressive Classification","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.CV","math.IT","stat.ML"],"primary_cat":"cs.IT","authors_text":"Francesco Renna, Hugo Reboredo, Miguel R. D. Rodrigues, Robert Calderbank","submitted_at":"2016-07-11T01:08:14Z","abstract_excerpt":"This paper studies the classification of high-dimensional Gaussian signals from low-dimensional noisy, linear measurements. In particular, it provides upper bounds (sufficient conditions) on the number of measurements required to drive the probability of misclassification to zero in the low-noise regime, both for random measurements and designed ones. Such bounds reveal two important operational regimes that are a function of the characteristics of the source: i) when the number of classes is less than or equal to the dimension of the space spanned by signals in each class, reliable classifica"},"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":"1607.02801","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-07-11T01:08:14Z","cross_cats_sorted":["cs.CV","math.IT","stat.ML"],"title_canon_sha256":"accef55c3d4d193c27ddfb2d7026a2d11f3a71387a274842790e396702b7ba85","abstract_canon_sha256":"d028a0f310e2b44f2cdef84a11764a5689fb39b4c2d576c63e2cddb633bf70f1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:00:34.304934Z","signature_b64":"SZWcYhNx6ilhbrTJeERmdLy8fgM4IeXYIkEN6otVufyjZOLXqeNv6dbyh5OCgrzfPFWLLag0hcz9j5+2TpkOBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9b1f0a336030fd822bc49ef708e51dc12f39bd86098c19bb957f4f04a8480494","last_reissued_at":"2026-05-18T01:00:34.304278Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:00:34.304278Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Bounds on the Number of Measurements for Reliable Compressive Classification","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.CV","math.IT","stat.ML"],"primary_cat":"cs.IT","authors_text":"Francesco Renna, Hugo Reboredo, Miguel R. D. Rodrigues, Robert Calderbank","submitted_at":"2016-07-11T01:08:14Z","abstract_excerpt":"This paper studies the classification of high-dimensional Gaussian signals from low-dimensional noisy, linear measurements. In particular, it provides upper bounds (sufficient conditions) on the number of measurements required to drive the probability of misclassification to zero in the low-noise regime, both for random measurements and designed ones. Such bounds reveal two important operational regimes that are a function of the characteristics of the source: i) when the number of classes is less than or equal to the dimension of the space spanned by signals in each class, reliable classifica"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.02801","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":"1607.02801","created_at":"2026-05-18T01:00:34.304400+00:00"},{"alias_kind":"arxiv_version","alias_value":"1607.02801v2","created_at":"2026-05-18T01:00:34.304400+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.02801","created_at":"2026-05-18T01:00:34.304400+00:00"},{"alias_kind":"pith_short_12","alias_value":"TMPQUM3AGD6Y","created_at":"2026-05-18T12:30:44.179134+00:00"},{"alias_kind":"pith_short_16","alias_value":"TMPQUM3AGD6YEK6E","created_at":"2026-05-18T12:30:44.179134+00:00"},{"alias_kind":"pith_short_8","alias_value":"TMPQUM3A","created_at":"2026-05-18T12:30:44.179134+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/TMPQUM3AGD6YEK6ET33QRZI5YE","json":"https://pith.science/pith/TMPQUM3AGD6YEK6ET33QRZI5YE.json","graph_json":"https://pith.science/api/pith-number/TMPQUM3AGD6YEK6ET33QRZI5YE/graph.json","events_json":"https://pith.science/api/pith-number/TMPQUM3AGD6YEK6ET33QRZI5YE/events.json","paper":"https://pith.science/paper/TMPQUM3A"},"agent_actions":{"view_html":"https://pith.science/pith/TMPQUM3AGD6YEK6ET33QRZI5YE","download_json":"https://pith.science/pith/TMPQUM3AGD6YEK6ET33QRZI5YE.json","view_paper":"https://pith.science/paper/TMPQUM3A","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1607.02801&json=true","fetch_graph":"https://pith.science/api/pith-number/TMPQUM3AGD6YEK6ET33QRZI5YE/graph.json","fetch_events":"https://pith.science/api/pith-number/TMPQUM3AGD6YEK6ET33QRZI5YE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TMPQUM3AGD6YEK6ET33QRZI5YE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TMPQUM3AGD6YEK6ET33QRZI5YE/action/storage_attestation","attest_author":"https://pith.science/pith/TMPQUM3AGD6YEK6ET33QRZI5YE/action/author_attestation","sign_citation":"https://pith.science/pith/TMPQUM3AGD6YEK6ET33QRZI5YE/action/citation_signature","submit_replication":"https://pith.science/pith/TMPQUM3AGD6YEK6ET33QRZI5YE/action/replication_record"}},"created_at":"2026-05-18T01:00:34.304400+00:00","updated_at":"2026-05-18T01:00:34.304400+00:00"}