{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:3QRGFO4OBQT4IBK4KVNN4FMRSY","short_pith_number":"pith:3QRGFO4O","schema_version":"1.0","canonical_sha256":"dc2262bb8e0c27c4055c555ade159196065ab3c3fd68051d1be4f341d39c4f2a","source":{"kind":"arxiv","id":"1209.0121","version":1},"attestation_state":"computed","paper":{"title":"Learning quadratic receptive fields from neural responses to natural stimuli","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"q-bio.NC","authors_text":"Ga\\v{s}per Tka\\v{c}ik, Kanaka Rajan, Olivier Marre","submitted_at":"2012-09-01T18:43:44Z","abstract_excerpt":"Models of neural responses to stimuli with complex spatiotemporal correlation structure often assume that neurons are only selective for a small number of linear projections of a potentially high-dimensional input. Here we explore recent modeling approaches where the neural response depends on the quadratic form of the input rather than on its linear projection, that is, the neuron is sensitive to the local covariance structure of the signal preceding the spike. To infer this quadratic dependence in the presence of arbitrary (e.g. naturalistic) stimulus distribution, we review several inferenc"},"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":"1209.0121","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.NC","submitted_at":"2012-09-01T18:43:44Z","cross_cats_sorted":[],"title_canon_sha256":"5b551b9045a799205ab777dfdaac7b59787d2acc66c882ec080ab649959d5575","abstract_canon_sha256":"3a451361e42e63c3fb2dc35cc739d8b1b6ddabf887734789baaf17fe282ac900"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:20:36.419334Z","signature_b64":"wYA/uQ5C3L0ryi3gli5toQpVW8UTCbhw0o1w3sA7aD1/qI3SRamMdn+lcnvKrUdueeViEnyS5YSY1d84Al1jBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dc2262bb8e0c27c4055c555ade159196065ab3c3fd68051d1be4f341d39c4f2a","last_reissued_at":"2026-05-18T03:20:36.418546Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:20:36.418546Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Learning quadratic receptive fields from neural responses to natural stimuli","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"q-bio.NC","authors_text":"Ga\\v{s}per Tka\\v{c}ik, Kanaka Rajan, Olivier Marre","submitted_at":"2012-09-01T18:43:44Z","abstract_excerpt":"Models of neural responses to stimuli with complex spatiotemporal correlation structure often assume that neurons are only selective for a small number of linear projections of a potentially high-dimensional input. Here we explore recent modeling approaches where the neural response depends on the quadratic form of the input rather than on its linear projection, that is, the neuron is sensitive to the local covariance structure of the signal preceding the spike. To infer this quadratic dependence in the presence of arbitrary (e.g. naturalistic) stimulus distribution, we review several inferenc"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.0121","kind":"arxiv","version":1},"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":"1209.0121","created_at":"2026-05-18T03:20:36.418665+00:00"},{"alias_kind":"arxiv_version","alias_value":"1209.0121v1","created_at":"2026-05-18T03:20:36.418665+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1209.0121","created_at":"2026-05-18T03:20:36.418665+00:00"},{"alias_kind":"pith_short_12","alias_value":"3QRGFO4OBQT4","created_at":"2026-05-18T12:26:53.410803+00:00"},{"alias_kind":"pith_short_16","alias_value":"3QRGFO4OBQT4IBK4","created_at":"2026-05-18T12:26:53.410803+00:00"},{"alias_kind":"pith_short_8","alias_value":"3QRGFO4O","created_at":"2026-05-18T12:26:53.410803+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/3QRGFO4OBQT4IBK4KVNN4FMRSY","json":"https://pith.science/pith/3QRGFO4OBQT4IBK4KVNN4FMRSY.json","graph_json":"https://pith.science/api/pith-number/3QRGFO4OBQT4IBK4KVNN4FMRSY/graph.json","events_json":"https://pith.science/api/pith-number/3QRGFO4OBQT4IBK4KVNN4FMRSY/events.json","paper":"https://pith.science/paper/3QRGFO4O"},"agent_actions":{"view_html":"https://pith.science/pith/3QRGFO4OBQT4IBK4KVNN4FMRSY","download_json":"https://pith.science/pith/3QRGFO4OBQT4IBK4KVNN4FMRSY.json","view_paper":"https://pith.science/paper/3QRGFO4O","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1209.0121&json=true","fetch_graph":"https://pith.science/api/pith-number/3QRGFO4OBQT4IBK4KVNN4FMRSY/graph.json","fetch_events":"https://pith.science/api/pith-number/3QRGFO4OBQT4IBK4KVNN4FMRSY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3QRGFO4OBQT4IBK4KVNN4FMRSY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3QRGFO4OBQT4IBK4KVNN4FMRSY/action/storage_attestation","attest_author":"https://pith.science/pith/3QRGFO4OBQT4IBK4KVNN4FMRSY/action/author_attestation","sign_citation":"https://pith.science/pith/3QRGFO4OBQT4IBK4KVNN4FMRSY/action/citation_signature","submit_replication":"https://pith.science/pith/3QRGFO4OBQT4IBK4KVNN4FMRSY/action/replication_record"}},"created_at":"2026-05-18T03:20:36.418665+00:00","updated_at":"2026-05-18T03:20:36.418665+00:00"}