{"id":"https://openalex.org/W2147008284","doi":"https://doi.org/10.1007/s10827-011-0327-y","title":"A Markovian event-based framework for stochastic spiking neural networks","display_name":"A Markovian event-based framework for stochastic spiking neural networks","publication_year":2011,"publication_date":"2011-04-15","ids":{"openalex":"https://openalex.org/W2147008284","doi":"https://doi.org/10.1007/s10827-011-0327-y","mag":"2147008284","pmid":"https://pubmed.ncbi.nlm.nih.gov/21499739"},"language":"en","primary_location":{"id":"doi:10.1007/s10827-011-0327-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10827-011-0327-y","pdf_url":null,"source":{"id":"https://openalex.org/S27455496","display_name":"Journal of Computational Neuroscience","issn_l":"0929-5313","issn":["0929-5313","1573-6873"],"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":"Journal of Computational Neuroscience","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","pubmed"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/0911.3462","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5008225248","display_name":"Jonathan Touboul","orcid":"https://orcid.org/0000-0003-1366-0414"},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en sciences et technologies du num\u00e9rique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Jonathan D. Touboul","raw_affiliation_strings":["NeuroMathComp Laboratory, INRIA, Sophia Antipolis, France. jonathan.touboul@sophia.inria.fr","NeuroMathComp Laboratory, INRIA Sophia-Antipolis, , France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"NeuroMathComp Laboratory, INRIA, Sophia Antipolis, France. jonathan.touboul@sophia.inria.fr","institution_ids":["https://openalex.org/I1326498283"]},{"raw_affiliation_string":"NeuroMathComp Laboratory, INRIA Sophia-Antipolis, , France","institution_ids":["https://openalex.org/I1326498283"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5006464572","display_name":"Olivier Faugeras","orcid":"https://orcid.org/0000-0001-8363-1550"},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en sciences et technologies du num\u00e9rique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Olivier D. Faugeras","raw_affiliation_strings":["NeuroMathComp Laboratory, INRIA, Sophia Antipolis, France","NeuroMathComp Laboratory, INRIA Sophia-Antipolis, , France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"NeuroMathComp Laboratory, INRIA, Sophia Antipolis, France","institution_ids":["https://openalex.org/I1326498283"]},{"raw_affiliation_string":"NeuroMathComp Laboratory, INRIA Sophia-Antipolis, , France","institution_ids":["https://openalex.org/I1326498283"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5008225248"],"corresponding_institution_ids":["https://openalex.org/I1326498283"],"apc_list":{"value":3390,"currency":"USD","value_usd":3390},"apc_paid":null,"fwci":0.9293,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.79329748,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"31","issue":"3","first_page":"485","last_page":"507"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10502","display_name":"Advanced Memory and Neural Computing","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10502","display_name":"Advanced Memory and Neural Computing","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10581","display_name":"Neural dynamics and brain function","score":1.0,"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/T11601","display_name":"Neuroscience and Neural Engineering","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/2804","display_name":"Cellular and Molecular Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/spike","display_name":"Spike (software development)","score":0.7571520805358887},{"id":"https://openalex.org/keywords/spiking-neural-network","display_name":"Spiking neural network","score":0.7140858769416809},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6576442718505859},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.5672793388366699},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.5305156111717224},{"id":"https://openalex.org/keywords/spike-train","display_name":"Spike train","score":0.5190213918685913},{"id":"https://openalex.org/keywords/random-neural-network","display_name":"Random neural network","score":0.4650474786758423},{"id":"https://openalex.org/keywords/stochastic-neural-network","display_name":"Stochastic neural network","score":0.4439351558685303},{"id":"https://openalex.org/keywords/biological-neuron-model","display_name":"Biological neuron model","score":0.44017642736434937},{"id":"https://openalex.org/keywords/event","display_name":"Event (particle physics)","score":0.4377744495868683},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.4356672763824463},{"id":"https://openalex.org/keywords/stochastic-process","display_name":"Stochastic process","score":0.4175998866558075},{"id":"https://openalex.org/keywords/recurrent-neural-network","display_name":"Recurrent neural network","score":0.33150026202201843},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.27798837423324585},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.18085989356040955},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11262083053588867},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.10977903008460999}],"concepts":[{"id":"https://openalex.org/C2781390188","wikidata":"https://www.wikidata.org/wiki/Q25203449","display_name":"Spike (software development)","level":2,"score":0.7571520805358887},{"id":"https://openalex.org/C11731999","wikidata":"https://www.wikidata.org/wiki/Q9067355","display_name":"Spiking neural network","level":3,"score":0.7140858769416809},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6576442718505859},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.5672793388366699},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.5305156111717224},{"id":"https://openalex.org/C2909946758","wikidata":"https://www.wikidata.org/wiki/Q194277","display_name":"Spike train","level":3,"score":0.5190213918685913},{"id":"https://openalex.org/C33010914","wikidata":"https://www.wikidata.org/wiki/Q7291980","display_name":"Random neural network","level":4,"score":0.4650474786758423},{"id":"https://openalex.org/C86582703","wikidata":"https://www.wikidata.org/wiki/Q7617824","display_name":"Stochastic neural network","level":4,"score":0.4439351558685303},{"id":"https://openalex.org/C186565885","wikidata":"https://www.wikidata.org/wiki/Q1651163","display_name":"Biological neuron model","level":3,"score":0.44017642736434937},{"id":"https://openalex.org/C2779662365","wikidata":"https://www.wikidata.org/wiki/Q5416694","display_name":"Event (particle physics)","level":2,"score":0.4377744495868683},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.4356672763824463},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.4175998866558075},{"id":"https://openalex.org/C147168706","wikidata":"https://www.wikidata.org/wiki/Q1457734","display_name":"Recurrent neural network","level":3,"score":0.33150026202201843},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.27798837423324585},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.18085989356040955},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11262083053588867},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.10977903008460999},{"id":"https://openalex.org/C115903868","wikidata":"https://www.wikidata.org/wiki/Q80993","display_name":"Software engineering","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[{"descriptor_ui":"D000200","descriptor_name":"Action Potentials","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D000200","descriptor_name":"Action Potentials","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D000200","descriptor_name":"Action Potentials","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D000818","descriptor_name":"Animals","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000818","descriptor_name":"Animals","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000818","descriptor_name":"Animals","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D006801","descriptor_name":"Humans","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D006801","descriptor_name":"Humans","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D006801","descriptor_name":"Humans","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008390","descriptor_name":"Markov Chains","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008390","descriptor_name":"Markov Chains","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008390","descriptor_name":"Markov Chains","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D009415","descriptor_name":"Nerve Net","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D009415","descriptor_name":"Nerve Net","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D009415","descriptor_name":"Nerve Net","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D009433","descriptor_name":"Neural Inhibition","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D009433","descriptor_name":"Neural Inhibition","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D009433","descriptor_name":"Neural Inhibition","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D009435","descriptor_name":"Synaptic Transmission","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D009435","descriptor_name":"Synaptic Transmission","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D009435","descriptor_name":"Synaptic Transmission","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D009474","descriptor_name":"Neurons","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D009474","descriptor_name":"Neurons","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D009474","descriptor_name":"Neurons","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D013269","descriptor_name":"Stochastic Processes","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D013269","descriptor_name":"Stochastic Processes","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D013269","descriptor_name":"Stochastic Processes","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D016014","descriptor_name":"Linear Models","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D016014","descriptor_name":"Linear Models","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D016014","descriptor_name":"Linear Models","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D016571","descriptor_name":"Neural Networks, Computer","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D016571","descriptor_name":"Neural Networks, Computer","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D016571","descriptor_name":"Neural Networks, Computer","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true}],"locations_count":4,"locations":[{"id":"doi:10.1007/s10827-011-0327-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10827-011-0327-y","pdf_url":null,"source":{"id":"https://openalex.org/S27455496","display_name":"Journal of Computational Neuroscience","issn_l":"0929-5313","issn":["0929-5313","1573-6873"],"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":"Journal of Computational Neuroscience","raw_type":"journal-article"},{"id":"pmid:21499739","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/21499739","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of computational neuroscience","raw_type":null},{"id":"pmh:oai:arXiv.org:0911.3462","is_oa":true,"landing_page_url":"http://arxiv.org/abs/0911.3462","pdf_url":"https://arxiv.org/pdf/0911.3462","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},{"id":"pmh:oai:HAL:hal-00845725v1","is_oa":false,"landing_page_url":"https://inria.hal.science/hal-00845725","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Computational Neuroscience, 2011, 31 (3), pp.485-507. ⟨10.1007/s10827-011-0327-y⟩","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:0911.3462","is_oa":true,"landing_page_url":"http://arxiv.org/abs/0911.3462","pdf_url":"https://arxiv.org/pdf/0911.3462","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":64,"referenced_works":["https://openalex.org/W25946478","https://openalex.org/W60166153","https://openalex.org/W91439453","https://openalex.org/W410804371","https://openalex.org/W1490778550","https://openalex.org/W1524980873","https://openalex.org/W1536929369","https://openalex.org/W1542782021","https://openalex.org/W1575104486","https://openalex.org/W1582739541","https://openalex.org/W1963808317","https://openalex.org/W1974879918","https://openalex.org/W1977150900","https://openalex.org/W1979744531","https://openalex.org/W1984909609","https://openalex.org/W1991820980","https://openalex.org/W1997505301","https://openalex.org/W1998977636","https://openalex.org/W2007760405","https://openalex.org/W2010228425","https://openalex.org/W2018027127","https://openalex.org/W2022575064","https://openalex.org/W2032774941","https://openalex.org/W2039755641","https://openalex.org/W2041741035","https://openalex.org/W2043679829","https://openalex.org/W2058005833","https://openalex.org/W2060561757","https://openalex.org/W2068910255","https://openalex.org/W2078246503","https://openalex.org/W2078594314","https://openalex.org/W2087121381","https://openalex.org/W2099569438","https://openalex.org/W2104803391","https://openalex.org/W2107284025","https://openalex.org/W2115205567","https://openalex.org/W2118388570","https://openalex.org/W2120584521","https://openalex.org/W2128949090","https://openalex.org/W2129109840","https://openalex.org/W2130211522","https://openalex.org/W2131060545","https://openalex.org/W2135736527","https://openalex.org/W2138682541","https://openalex.org/W2143108620","https://openalex.org/W2147227942","https://openalex.org/W2152502378","https://openalex.org/W2158424806","https://openalex.org/W2163891345","https://openalex.org/W2164167357","https://openalex.org/W2164653071","https://openalex.org/W2169707068","https://openalex.org/W2172294131","https://openalex.org/W2478728769","https://openalex.org/W2504254760","https://openalex.org/W2521020800","https://openalex.org/W2914695628","https://openalex.org/W2962692265","https://openalex.org/W3103530978","https://openalex.org/W3148499377","https://openalex.org/W4231021340","https://openalex.org/W4238614602","https://openalex.org/W6632078259","https://openalex.org/W7002488674"],"related_works":["https://openalex.org/W2023492997","https://openalex.org/W2013860114","https://openalex.org/W4226102537","https://openalex.org/W1504796302","https://openalex.org/W4386441857","https://openalex.org/W2756276189","https://openalex.org/W3198030868","https://openalex.org/W2906832317","https://openalex.org/W2542565870","https://openalex.org/W2996874253"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-08-05T07:39:15.569665","created_date":"2025-10-10T00:00:00"}