{"id":"https://openalex.org/W4391998863","doi":"https://doi.org/10.1137/23m1555958","title":"The Cortical V1 Transform as a Heterogeneous Poisson Problem","display_name":"The Cortical V1 Transform as a Heterogeneous Poisson Problem","publication_year":2024,"publication_date":"2024-02-21","ids":{"openalex":"https://openalex.org/W4391998863","doi":"https://doi.org/10.1137/23m1555958"},"language":"en","primary_location":{"id":"doi:10.1137/23m1555958","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1137/23m1555958","pdf_url":null,"source":{"id":"https://openalex.org/S152600803","display_name":"SIAM Journal on Imaging Sciences","issn_l":"1936-4954","issn":["1936-4954"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Imaging Sciences","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://cris.unibo.it/bitstream/11585/964354/3/23m1555958.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5010613775","display_name":"Alessandro Sarti","orcid":"https://orcid.org/0000-0003-4073-6541"},"institutions":[{"id":"https://openalex.org/I4210100624","display_name":"Centre d'Analyse et de Math\u00e9matique Sociales","ror":"https://ror.org/00vb8fc53","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210100624","https://openalex.org/I4210150854","https://openalex.org/I90669466"]},{"id":"https://openalex.org/I90669466","display_name":"\u00c9cole des hautes \u00e9tudes en sciences sociales","ror":"https://ror.org/02d9dg697","country_code":"FR","type":"facility","lineage":["https://openalex.org/I90669466"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Alessandro Sarti","raw_affiliation_strings":["CAMS, EHESS, Paris, France","\\dagger CAMS, EHESS, Paris, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CAMS, EHESS, Paris, France","institution_ids":["https://openalex.org/I4210100624","https://openalex.org/I90669466"]},{"raw_affiliation_string":"\\dagger CAMS, EHESS, Paris, France","institution_ids":["https://openalex.org/I4210100624","https://openalex.org/I90669466"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063552836","display_name":"Mattia Galeotti","orcid":"https://orcid.org/0000-0001-8755-4740"},"institutions":[{"id":"https://openalex.org/I4210100624","display_name":"Centre d'Analyse et de Math\u00e9matique Sociales","ror":"https://ror.org/00vb8fc53","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210100624","https://openalex.org/I4210150854","https://openalex.org/I90669466"]},{"id":"https://openalex.org/I90669466","display_name":"\u00c9cole des hautes \u00e9tudes en sciences sociales","ror":"https://ror.org/02d9dg697","country_code":"FR","type":"facility","lineage":["https://openalex.org/I90669466"]},{"id":"https://openalex.org/I9360294","display_name":"University of Bologna","ror":"https://ror.org/01111rn36","country_code":"IT","type":"education","lineage":["https://openalex.org/I9360294"]}],"countries":["FR","IT"],"is_corresponding":false,"raw_author_name":"Mattia Galeotti","raw_affiliation_strings":["Dipartimento di Matematica, Universit\u00e0 di Bologna, Bologna 40126, Italy","\\dagger CAMS, EHESS, Paris, France"],"raw_orcid":"https://orcid.org/0000-0001-8755-4740","affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica, Universit\u00e0 di Bologna, Bologna 40126, Italy","institution_ids":["https://openalex.org/I9360294"]},{"raw_affiliation_string":"\\dagger CAMS, EHESS, Paris, France","institution_ids":["https://openalex.org/I4210100624","https://openalex.org/I90669466"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5059466634","display_name":"Giovanna Citti","orcid":"https://orcid.org/0000-0003-2316-3315"},"institutions":[{"id":"https://openalex.org/I4210100624","display_name":"Centre d'Analyse et de Math\u00e9matique Sociales","ror":"https://ror.org/00vb8fc53","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210100624","https://openalex.org/I4210150854","https://openalex.org/I90669466"]},{"id":"https://openalex.org/I90669466","display_name":"\u00c9cole des hautes \u00e9tudes en sciences sociales","ror":"https://ror.org/02d9dg697","country_code":"FR","type":"facility","lineage":["https://openalex.org/I90669466"]},{"id":"https://openalex.org/I9360294","display_name":"University of Bologna","ror":"https://ror.org/01111rn36","country_code":"IT","type":"education","lineage":["https://openalex.org/I9360294"]}],"countries":["FR","IT"],"is_corresponding":false,"raw_author_name":"Giovanna Citti","raw_affiliation_strings":["Dipartimento di Matematica, Universit\u00e0 di Bologna, Bologna 40126, Italy","\\dagger CAMS, EHESS, Paris, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica, Universit\u00e0 di Bologna, Bologna 40126, Italy","institution_ids":["https://openalex.org/I9360294"]},{"raw_affiliation_string":"\\dagger CAMS, EHESS, Paris, France","institution_ids":["https://openalex.org/I4210100624","https://openalex.org/I90669466"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.4579,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.5584859,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"17","issue":"1","first_page":"389","last_page":"414"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10427","display_name":"Visual perception and processing mechanisms","score":0.9973999857902527,"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"}},"topics":[{"id":"https://openalex.org/T10427","display_name":"Visual perception and processing mechanisms","score":0.9973999857902527,"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/T10581","display_name":"Neural dynamics and brain function","score":0.9797999858856201,"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/T11447","display_name":"Blind Source Separation Techniques","score":0.9646999835968018,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/poisson-distribution","display_name":"Poisson distribution","score":0.5512847304344177},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4552844762802124},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4105271100997925},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.14988744258880615}],"concepts":[{"id":"https://openalex.org/C100906024","wikidata":"https://www.wikidata.org/wiki/Q205692","display_name":"Poisson distribution","level":2,"score":0.5512847304344177},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4552844762802124},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4105271100997925},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.14988744258880615}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/23m1555958","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1137/23m1555958","pdf_url":null,"source":{"id":"https://openalex.org/S152600803","display_name":"SIAM Journal on Imaging Sciences","issn_l":"1936-4954","issn":["1936-4954"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Imaging Sciences","raw_type":"journal-article"},{"id":"pmh:oai:cris.unibo.it:11585/964354","is_oa":true,"landing_page_url":"https://epubs.siam.org/doi/10.1137/23M1555958","pdf_url":"https://cris.unibo.it/bitstream/11585/964354/3/23m1555958.pdf","source":{"id":"https://openalex.org/S4306402579","display_name":"Archivio istituzionale della ricerca (Alma Mater Studiorum Universit\u00e0 di Bologna)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210117483","host_organization_name":"Istituto di Ematologia di Bologna","host_organization_lineage":["https://openalex.org/I4210117483"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","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:cris.unibo.it:11585/964354","is_oa":true,"landing_page_url":"https://epubs.siam.org/doi/10.1137/23M1555958","pdf_url":"https://cris.unibo.it/bitstream/11585/964354/3/23m1555958.pdf","source":{"id":"https://openalex.org/S4306402579","display_name":"Archivio istituzionale della ricerca (Alma Mater Studiorum Universit\u00e0 di Bologna)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210117483","host_organization_name":"Istituto di Ematologia di Bologna","host_organization_lineage":["https://openalex.org/I4210117483"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3201664707","display_name":"Geometric and Harmonic Analysis with Interdisciplinary Applications","funder_award_id":"777822","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G3323308467","display_name":null,"funder_award_id":"PE0000006","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"}],"funders":[{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4391998863.pdf","grobid_xml":"https://content.openalex.org/works/W4391998863.grobid-xml"},"referenced_works_count":48,"referenced_works":["https://openalex.org/W1501344851","https://openalex.org/W1533350767","https://openalex.org/W1588088506","https://openalex.org/W1821468701","https://openalex.org/W1866311589","https://openalex.org/W1914401667","https://openalex.org/W1954638517","https://openalex.org/W1965673217","https://openalex.org/W1970554717","https://openalex.org/W1976284538","https://openalex.org/W1984337398","https://openalex.org/W1984757472","https://openalex.org/W1985532546","https://openalex.org/W1986327281","https://openalex.org/W1990675808","https://openalex.org/W2003334469","https://openalex.org/W2018819296","https://openalex.org/W2021120056","https://openalex.org/W2022735534","https://openalex.org/W2023539733","https://openalex.org/W2025520018","https://openalex.org/W2035159403","https://openalex.org/W2037554288","https://openalex.org/W2045349587","https://openalex.org/W2056459831","https://openalex.org/W2081720765","https://openalex.org/W2091544770","https://openalex.org/W2093193798","https://openalex.org/W2110121211","https://openalex.org/W2116360511","https://openalex.org/W2138100172","https://openalex.org/W2146924446","https://openalex.org/W2159871081","https://openalex.org/W2322757099","https://openalex.org/W2426742897","https://openalex.org/W2520718820","https://openalex.org/W2749197555","https://openalex.org/W2765407761","https://openalex.org/W2785458696","https://openalex.org/W2970981019","https://openalex.org/W2979781678","https://openalex.org/W3009582182","https://openalex.org/W3046149322","https://openalex.org/W3202573687","https://openalex.org/W3204313766","https://openalex.org/W4206598430","https://openalex.org/W4285611149","https://openalex.org/W4292676217"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2042127053","https://openalex.org/W2142036596"],"abstract_inverted_index":{"Abstract.":[0],"Receptive":[1],"profiles":[2],"of":[3,38,73,93,100,111,113,123],"the":[4,18,36,47,54,71,74,88,91,97,101,114],"primary":[5],"visual":[6],"cortex":[7],"(V1)":[8],"cortical":[9],"cells":[10,39],"are":[11],"very":[12],"heterogeneous":[13,84],"and":[14],"act":[15],"by":[16,106,121],"differentiating":[17],"stimulus":[19],"image":[20,56,66],"as":[21,70],"operators":[22],"changing":[23],"from":[24],"point":[25,105],"to":[26,33,45,52],"point.":[27,107],"In":[28],"this":[29],"paper":[30],"we":[31],"aim":[32],"show":[34,61],"that":[35,62],"distribution":[37],"in":[40],"V1,":[41],"although":[42],"not":[43],"complete":[44],"reconstruct":[46,53],"original":[48],"image,":[49],"is":[50,79,119],"sufficient":[51],"perceived":[55],"with":[57,83],"subjective":[58],"constancy.":[59],"We":[60],"a":[63,80],"color":[64],"constancy":[65],"can":[67],"be":[68],"reconstructed":[69],"solution":[72,99],"associated":[75],"inverse":[76],"problem,":[77],"which":[78],"Poisson":[81,102],"equation":[82],"differential":[85],"operators.":[86],"At":[87],"neural":[89],"level":[90],"weights":[92],"short-range":[94],"connectivity":[95],"constitute":[96],"fundamental":[98],"problem":[103],"adapted":[104],"A":[108],"first":[109],"demonstration":[110],"convergence":[112],"result":[115],"towards":[116],"homogeneous":[117],"reconstructions":[118],"proposed":[120],"means":[122],"homogenization":[124],"techniques.":[125]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2026-08-23T07:36:19.812096","created_date":"2025-10-10T00:00:00"}
