{"id":"https://openalex.org/W2105732809","doi":"https://doi.org/10.1007/s10208-009-9049-1","title":"Mathematics of the Neural Response","display_name":"Mathematics of the Neural Response","publication_year":2009,"publication_date":"2009-06-29","ids":{"openalex":"https://openalex.org/W2105732809","doi":"https://doi.org/10.1007/s10208-009-9049-1","mag":"2105732809"},"language":"en","primary_location":{"id":"doi:10.1007/s10208-009-9049-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10208-009-9049-1","pdf_url":null,"source":{"id":"https://openalex.org/S151639445","display_name":"Foundations of Computational Mathematics","issn_l":"1615-3375","issn":["1615-3375","1615-3383"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Foundations of Computational Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/1721.1/43713","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5109562471","display_name":"S. Smale","orcid":null},"institutions":[{"id":"https://openalex.org/I160992636","display_name":"Toyota Technological Institute at Chicago","ror":"https://ror.org/02sn5gb64","country_code":"US","type":"education","lineage":["https://openalex.org/I160992636"]},{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"S. Smale","raw_affiliation_strings":["Toyota Technological Institute at Chicago and University of California, Berkeley, CA, USA","Toyota Technological Institute at Chicago and University of California, Berkeley, CA, USA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Toyota Technological Institute at Chicago and University of California, Berkeley, CA, USA","institution_ids":["https://openalex.org/I160992636","https://openalex.org/I95457486"]},{"raw_affiliation_string":"Toyota Technological Institute at Chicago and University of California, Berkeley, CA, USA#TAB#","institution_ids":["https://openalex.org/I160992636"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061220999","display_name":"Lorenzo Rosasco","orcid":"https://orcid.org/0000-0003-3098-383X"},"institutions":[{"id":"https://openalex.org/I144112489","display_name":"McGovern Institute for Brain Research","ror":"https://ror.org/05ymca674","country_code":"US","type":"facility","lineage":["https://openalex.org/I144112489","https://openalex.org/I63966007"]},{"id":"https://openalex.org/I83816512","display_name":"University of Genoa","ror":"https://ror.org/0107c5v14","country_code":"IT","type":"education","lineage":["https://openalex.org/I83816512"]}],"countries":["IT","US"],"is_corresponding":false,"raw_author_name":"L. Rosasco","raw_affiliation_strings":["CBCL, McGovern Institute, MIT & DISI, Universit\u00e0 di Genova, Cambridge, MA, USA","Universit\u00e0 di Genova, CBCL, McGovern Institute, MIT & DISI, Cambridge, MA, USA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CBCL, McGovern Institute, MIT & DISI, Universit\u00e0 di Genova, Cambridge, MA, USA","institution_ids":["https://openalex.org/I144112489"]},{"raw_affiliation_string":"Universit\u00e0 di Genova, CBCL, McGovern Institute, MIT & DISI, Cambridge, MA, USA#TAB#","institution_ids":["https://openalex.org/I83816512"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111986337","display_name":"Jacob Bouvrie","orcid":null},"institutions":[{"id":"https://openalex.org/I4210104429","display_name":"Institute of Cognitive and Brain Sciences","ror":"https://ror.org/01c3w3270","country_code":"US","type":"education","lineage":["https://openalex.org/I4210104429"]},{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"J. Bouvrie","raw_affiliation_strings":["CBCL, Brain and Cognitive Sciences, Massachusetts Institute of Technology, Cambridge, MA, USA","Massachusetts Institute of Technology, CBCL, Brain and Cognitive Sciences, Cambridge, MA, USA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CBCL, Brain and Cognitive Sciences, Massachusetts Institute of Technology, Cambridge, MA, USA","institution_ids":["https://openalex.org/I4210104429","https://openalex.org/I63966007"]},{"raw_affiliation_string":"Massachusetts Institute of Technology, CBCL, Brain and Cognitive Sciences, Cambridge, MA, USA#TAB#","institution_ids":["https://openalex.org/I63966007"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5009102415","display_name":"Andrea Caponnetto","orcid":"https://orcid.org/0000-0002-6311-0667"},"institutions":[{"id":"https://openalex.org/I168719708","display_name":"City University of Hong Kong","ror":"https://ror.org/03q8dnn23","country_code":"HK","type":"education","lineage":["https://openalex.org/I168719708"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"A. Caponnetto","raw_affiliation_strings":["Department of Mathematics, City University of Hong Kong, Hong Kong, China","City University of Hong Kong Department of Mathematics Hong Kong China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, City University of Hong Kong, Hong Kong, China","institution_ids":["https://openalex.org/I168719708"]},{"raw_affiliation_string":"City University of Hong Kong Department of Mathematics Hong Kong China","institution_ids":["https://openalex.org/I168719708"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5001833084","display_name":"Tomaso Poggio","orcid":"https://orcid.org/0000-0002-3944-0455"},"institutions":[{"id":"https://openalex.org/I144112489","display_name":"McGovern Institute for Brain Research","ror":"https://ror.org/05ymca674","country_code":"US","type":"facility","lineage":["https://openalex.org/I144112489","https://openalex.org/I63966007"]},{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"T. Poggio","raw_affiliation_strings":["CBCL, McGovern Institute, CSAIL, BCS, Massachusetts Institute of Technology, Cambridge, MA, USA","Massachusetts Institute of Technology, CBCL, McGovern Institute, CSAIL, BCS, Cambridge, MA, USA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CBCL, McGovern Institute, CSAIL, BCS, Massachusetts Institute of Technology, Cambridge, MA, USA","institution_ids":["https://openalex.org/I144112489","https://openalex.org/I63966007"]},{"raw_affiliation_string":"Massachusetts Institute of Technology, CBCL, McGovern Institute, CSAIL, BCS, Cambridge, MA, USA#TAB#","institution_ids":["https://openalex.org/I63966007"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":7,"corresponding_author_ids":["https://openalex.org/A5111986337"],"corresponding_institution_ids":["https://openalex.org/I4210104429","https://openalex.org/I63966007"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":8.8823,"has_fulltext":true,"cited_by_count":54,"citation_normalized_percentile":{"value":0.97831954,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"10","issue":"1","first_page":"67","last_page":"91"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9908000230789185,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10320","display_name":"Neural Networks and Applications","score":0.9908000230789185,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10581","display_name":"Neural dynamics and brain function","score":0.9873999953269958,"subfield":{"id":"https://openalex.org/subfields/2805","display_name":"Cognitive Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T13114","display_name":"Image Processing Techniques and Applications","score":0.986299991607666,"subfield":{"id":"https://openalex.org/subfields/2214","display_name":"Media Technology"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/kernel","display_name":"Kernel (algebra)","score":0.6422050595283508},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5800970196723938},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.5343377590179443},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.5237719416618347},{"id":"https://openalex.org/keywords/visual-cortex","display_name":"Visual cortex","score":0.491250216960907},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.47002077102661133},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.460832417011261},{"id":"https://openalex.org/keywords/similarity","display_name":"Similarity (geometry)","score":0.4382885694503784},{"id":"https://openalex.org/keywords/kernel-method","display_name":"Kernel method","score":0.4110695421695709},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3839291036128998},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3517732620239258},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.34937578439712524},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.3435630202293396},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.2381516396999359},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.17932260036468506},{"id":"https://openalex.org/keywords/neuroscience","display_name":"Neuroscience","score":0.11959731578826904},{"id":"https://openalex.org/keywords/support-vector-machine","display_name":"Support vector machine","score":0.10830464959144592}],"concepts":[{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.6422050595283508},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5800970196723938},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.5343377590179443},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5237719416618347},{"id":"https://openalex.org/C2779345533","wikidata":"https://www.wikidata.org/wiki/Q75785","display_name":"Visual cortex","level":2,"score":0.491250216960907},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.47002077102661133},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.460832417011261},{"id":"https://openalex.org/C103278499","wikidata":"https://www.wikidata.org/wiki/Q254465","display_name":"Similarity (geometry)","level":3,"score":0.4382885694503784},{"id":"https://openalex.org/C122280245","wikidata":"https://www.wikidata.org/wiki/Q620622","display_name":"Kernel method","level":3,"score":0.4110695421695709},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3839291036128998},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3517732620239258},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.34937578439712524},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.3435630202293396},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2381516396999359},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.17932260036468506},{"id":"https://openalex.org/C169760540","wikidata":"https://www.wikidata.org/wiki/Q207011","display_name":"Neuroscience","level":1,"score":0.11959731578826904},{"id":"https://openalex.org/C12267149","wikidata":"https://www.wikidata.org/wiki/Q282453","display_name":"Support vector machine","level":2,"score":0.10830464959144592},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":8,"locations":[{"id":"doi:10.1007/s10208-009-9049-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10208-009-9049-1","pdf_url":null,"source":{"id":"https://openalex.org/S151639445","display_name":"Foundations of Computational Mathematics","issn_l":"1615-3375","issn":["1615-3375","1615-3383"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Foundations of Computational Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.141.6966","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.141.6966","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://web.mit.edu/jvb/www/papers/mathematics_of_neural_response.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.151.9023","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.151.9023","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://web.mit.edu/jvb/www/papers/mathematics_of_neural_response_FOCM.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.208.7206","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.208.7206","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://dspace.mit.edu/bitstream/handle/1721.1/43713/MIT-CSAIL-TR-2008-070.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.374.1563","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.374.1563","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://cbcl.mit.edu/publications/ps/Smale-et-al_mathematics_of_neural_response_CBCLpaper2008.pdf","raw_type":"text"},{"id":"pmh:oai:dspace.mit.edu:1721.1/43713","is_oa":true,"landing_page_url":"http://hdl.handle.net/1721.1/43713","pdf_url":null,"source":{"id":"https://openalex.org/S4306400425","display_name":"DSpace@MIT (Massachusetts Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I63966007","host_organization_name":"Massachusetts Institute of Technology","host_organization_lineage":["https://openalex.org/I63966007"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null},{"id":"pmh:oai:dspace.mit.edu:1721.1/76632","is_oa":true,"landing_page_url":"http://hdl.handle.net/1721.1/76632","pdf_url":null,"source":{"id":"https://openalex.org/S4306400425","display_name":"DSpace@MIT (Massachusetts Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I63966007","host_organization_name":"Massachusetts Institute of Technology","host_organization_lineage":["https://openalex.org/I63966007"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Kathleen Sullivan","raw_type":"Article"},{"id":"pmh:oai:iris.unige.it:11567/543117","is_oa":false,"landing_page_url":"http://hdl.handle.net/11567/543117","pdf_url":null,"source":{"id":"https://openalex.org/S4377196291","display_name":"CINECA IRIS Institutial Research Information System (University of Genoa)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I83816512","host_organization_name":"University of Genoa","host_organization_lineage":["https://openalex.org/I83816512"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:dspace.mit.edu:1721.1/43713","is_oa":true,"landing_page_url":"http://hdl.handle.net/1721.1/43713","pdf_url":null,"source":{"id":"https://openalex.org/S4306400425","display_name":"DSpace@MIT (Massachusetts Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I63966007","host_organization_name":"Massachusetts Institute of Technology","host_organization_lineage":["https://openalex.org/I63966007"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null},"sustainable_development_goals":[{"display_name":"Quality Education","id":"https://metadata.un.org/sdg/4","score":0.6399999856948853}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W93885277","https://openalex.org/W597932189","https://openalex.org/W1508960934","https://openalex.org/W1510073064","https://openalex.org/W1543983856","https://openalex.org/W1593057674","https://openalex.org/W1601740268","https://openalex.org/W1986280275","https://openalex.org/W2037090920","https://openalex.org/W2099111195","https://openalex.org/W2101926813","https://openalex.org/W2112796928","https://openalex.org/W2132172482","https://openalex.org/W2144982973","https://openalex.org/W2148603752","https://openalex.org/W2149194912","https://openalex.org/W2166676140","https://openalex.org/W2535756153","https://openalex.org/W3119651796","https://openalex.org/W4245558064"],"related_works":["https://openalex.org/W2089892314","https://openalex.org/W4386075310","https://openalex.org/W2095626363","https://openalex.org/W2169565408","https://openalex.org/W1603091392","https://openalex.org/W2121506664","https://openalex.org/W2127229869","https://openalex.org/W3123056048","https://openalex.org/W2150638158","https://openalex.org/W2363184354"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":7},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":6},{"year":2012,"cited_by_count":5}],"updated_date":"2026-07-02T09:51:11.867554","created_date":"2025-10-10T00:00:00"}
