{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,11]],"date-time":"2026-04-11T17:00:51Z","timestamp":1775926851679,"version":"3.50.1"},"update-to":[{"DOI":"10.1371\/journal.pcbi.1009808","type":"new_version","label":"New version","source":"publisher","updated":{"date-parts":[[2022,2,10]],"date-time":"2022-02-10T00:00:00Z","timestamp":1644451200000}}],"reference-count":43,"publisher":"Public Library of Science (PLoS)","issue":"1","license":[{"start":{"date-parts":[[2022,1,31]],"date-time":"2022-01-31T00:00:00Z","timestamp":1643587200000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100000324","name":"gatsby charitable foundation","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100000324","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100004440","name":"wellcome trust","doi-asserted-by":"publisher","award":["110174\/Z\/15\/Z"],"award-info":[{"award-number":["110174\/Z\/15\/Z"]}],"id":[{"id":"10.13039\/100004440","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100010269","name":"wellcome trust","doi-asserted-by":"publisher","award":["110114\/Z\/15\/Z"],"award-info":[{"award-number":["110114\/Z\/15\/Z"]}],"id":[{"id":"10.13039\/100010269","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100010438","name":"Francis Crick Institute","doi-asserted-by":"publisher","award":["FC001153"],"award-info":[{"award-number":["FC001153"]}],"id":[{"id":"10.13039\/100010438","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["www.ploscompbiol.org"],"crossmark-restriction":false},"short-container-title":["PLoS Comput Biol"],"abstract":"<jats:p>\n                    Sensory processing is hard because the variables of interest are encoded in spike trains in a relatively complex way. A major goal in studies of sensory processing is to understand how the brain extracts those variables. Here we revisit a common encoding model in which variables are encoded linearly. Although there are typically more variables than neurons, this problem is still solvable because only a small number of variables appear at any one time (sparse prior). However, previous solutions require all-to-all connectivity, inconsistent with the sparse connectivity seen in the brain. Here we propose an algorithm that provably reaches the MAP (maximum\n                    <jats:italic>a posteriori<\/jats:italic>\n                    ) inference solution, but does so using sparse connectivity. Our algorithm is inspired by the circuit of the mouse olfactory bulb, but our approach is general enough to apply to other modalities. In addition, it should be possible to extend it to nonlinear encoding models.\n                  <\/jats:p>","DOI":"10.1371\/journal.pcbi.1009808","type":"journal-article","created":{"date-parts":[[2022,1,31]],"date-time":"2022-01-31T13:36:45Z","timestamp":1643636205000},"page":"e1009808","update-policy":"https:\/\/doi.org\/10.1371\/journal.pcbi.corrections_policy","source":"Crossref","is-referenced-by-count":8,"title":["Sparse connectivity for MAP inference in linear models using sister mitral cells"],"prefix":"10.1371","volume":"18","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-3990-8724","authenticated-orcid":true,"given":"Sina","family":"Tootoonian","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4677-8788","authenticated-orcid":true,"given":"Andreas T.","family":"Schaefer","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8713-9328","authenticated-orcid":true,"given":"Peter E.","family":"Latham","sequence":"additional","affiliation":[]}],"member":"340","published-online":{"date-parts":[[2022,1,31]]},"reference":[{"issue":"6583","key":"pcbi.1009808.ref001","doi-asserted-by":"crossref","first-page":"607","DOI":"10.1038\/381607a0","article-title":"Emergence of Simple-Cell Receptive Field Properties by Learning a Sparse Code for Natural Images","volume":"381","author":"BA Olshausen","year":"1996","journal-title":"Nature"},{"issue":"1","key":"pcbi.1009808.ref002","doi-asserted-by":"crossref","first-page":"98","DOI":"10.1038\/nn.4444","article-title":"A Probabilistic Approach to Demixing Odors","volume":"20","author":"A Grabska-Barwinska","year":"2017","journal-title":"Nature Neuroscience"},{"issue":"4","key":"pcbi.1009808.ref003","doi-asserted-by":"crossref","first-page":"356","DOI":"10.1038\/nn831","article-title":"Efficient Coding of Natural Sounds","volume":"5","author":"MS Lewicki","year":"2002","journal-title":"Nature Neuroscience"},{"key":"pcbi.1009808.ref004","volume-title":"Theoretical Neuroscience: Computational and Mathematical Modeling of Neural Systems","author":"P Dayan","year":"2005"},{"issue":"1","key":"pcbi.1009808.ref005","doi-asserted-by":"crossref","first-page":"175","DOI":"10.1016\/0092-8674(91)90418-X","article-title":"A Novel Multigene Family May Encode Odorant Receptors: A Molecular Basis for Odor Recognition","volume":"65","author":"L Buck","year":"1991","journal-title":"Cell"},{"issue":"4","key":"pcbi.1009808.ref006","doi-asserted-by":"crossref","first-page":"675","DOI":"10.1016\/S0092-8674(00)81387-2","article-title":"Visualizing an Olfactory Sensory Map","volume":"87","author":"P Mombaerts","year":"1996","journal-title":"Cell"},{"key":"pcbi.1009808.ref007","first-page":"102","volume-title":"The Olfactory Sensory Map in Drosophila. 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