{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,18]],"date-time":"2026-02-18T23:23:04Z","timestamp":1771456984760,"version":"3.50.1"},"update-to":[{"DOI":"10.1371\/journal.pcbi.1005792","type":"new_version","label":"New version","source":"publisher","updated":{"date-parts":[[2017,10,23]],"date-time":"2017-10-23T00:00:00Z","timestamp":1508716800000}}],"reference-count":71,"publisher":"Public Library of Science (PLoS)","issue":"10","license":[{"start":{"date-parts":[[2017,10,11]],"date-time":"2017-10-11T00:00:00Z","timestamp":1507680000000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":["www.ploscompbiol.org"],"crossmark-restriction":false},"short-container-title":["PLoS Comput Biol"],"DOI":"10.1371\/journal.pcbi.1005792","type":"journal-article","created":{"date-parts":[[2017,10,11]],"date-time":"2017-10-11T13:35:30Z","timestamp":1507728930000},"page":"e1005792","update-policy":"https:\/\/doi.org\/10.1371\/journal.pcbi.corrections_policy","source":"Crossref","is-referenced-by-count":10,"title":["The structured \u2018low temperature\u2019 phase of the retinal population code"],"prefix":"10.1371","volume":"13","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-8229-3235","authenticated-orcid":true,"given":"Mark L.","family":"Ioffe","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4133-7999","authenticated-orcid":true,"given":"Michael J.","family":"Berry","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"340","published-online":{"date-parts":[[2017,10,11]]},"reference":[{"issue":"43","key":"ref1","first-page":"14859","article-title":"Mapping a complete neural population in the retina","volume":"32","author":"O. Marre","year":"2012"},{"issue":"15","key":"ref2","first-page":"5022","article-title":"The structure of large-scale synchronized firing in primate retina","volume":"29","author":"J. Shlens","year":"2009"},{"issue":"5","key":"ref3","first-page":"413","article-title":"Whole-brain functional imaging at cellular resolution using light-sheet microscopy","volume":"10","author":"M. B. Ahrens","year":"2013"},{"key":"ref4","first-page":"151","article-title":"Three-dimensional mapping of microcircuit correlation structure","volume":"7","author":"R. J. Cotton","year":"2013"},{"key":"ref5","article-title":"<italic>Statistical Physics: V. 5: Course of Theoretical Physics<\/italic>","author":"L. D. Landau","year":"1969"},{"issue":"8","key":"ref6","first-page":"1951","article-title":"Implications of neuronal diversity on population coding","volume":"18","author":"M. Shamir","year":"2006"},{"issue":"10","key":"ref7","first-page":"1410","article-title":"Information-limiting correlations","volume":"17","author":"R. Moreno-Bote","year":"2014"},{"issue":"32","key":"ref8","first-page":"14419","article-title":"Optimal population coding by noisy spiking neurons","volume":"107","author":"G. Tka\u010dik","year":"2010"},{"issue":"2","key":"ref9","first-page":"409","article-title":"Structures of neural correlation and how they favor coding","volume":"89","author":"F. Franke","year":"2016"},{"issue":"11","key":"ref10","first-page":"e1003970","article-title":"High-fidelity coding with correlated neurons","volume":"10","author":"R. A. da Silveira","year":"2014"},{"issue":"1","key":"ref11","first-page":"155","article-title":"Representational accuracy of stochastic neural populations","volume":"14","author":"S. D. Wilke","year":"2002"},{"issue":"5","key":"ref12","first-page":"358","article-title":"Neural correlations, population coding and computation","volume":"7","author":"B. B. Averbeck","year":"2006"},{"issue":"4","key":"ref13","first-page":"1069","article-title":"Low error discrimination using a correlated population code","volume":"108","author":"G. Schwartz","year":"2012"},{"issue":"4","key":"ref14","first-page":"620","article-title":"Information theory and statistical mechanics","volume":"106","author":"E. T. Jaynes","year":"1957"},{"issue":"7087","key":"ref15","first-page":"1007","article-title":"Weak pairwise correlations imply strongly correlated network states in a neural population","volume":"440","author":"E. Schneidman","year":"2006"},{"issue":"1","key":"ref16","first-page":"e1003408","article-title":"Searching for collective behavior in a large network of sensory neurons","volume":"10","author":"G. Tka\u010dik","year":"2014"},{"issue":"32","key":"ref17","first-page":"8254","article-title":"The structure of multi-neuron firing patterns in primate retina","volume":"26","author":"J. Shlens","year":"2006"},{"issue":"7306","key":"ref18","first-page":"617","article-title":"Sparse coding and high-order correlations in fine-scale cortical networks","volume":"466","author":"I. E. Ohiorhenuan","year":"2010"},{"issue":"37","key":"ref19","first-page":"11508","article-title":"Thermodynamics and signatures of criticality in a network of neurons","volume":"112","author":"G. Tka\u010dik","year":"2015"},{"key":"ref20","article-title":"<italic>Network-scale electrophysiology: measuring and understanding the collective behavior of neural circuits<\/italic>","author":"D. Amodei","year":"2011"},{"issue":"7","key":"ref21","first-page":"078105","article-title":"Dynamical criticality in the collective activity of a population of retinal neurons","volume":"114","author":"T. Mora","year":"2015"},{"key":"ref22","article-title":"Universal organization of resting brain activity at the thermodynamic critical point","volume":"7","author":"S. Yu","year":"2013"},{"issue":"2","key":"ref23","first-page":"268","article-title":"Are biological systems poised at criticality?","volume":"144","author":"T. Mora","year":"2011"},{"issue":"6","key":"ref24","first-page":"068102","article-title":"Zipf\u2019s law and criticality in multivariate data without fine-tuning","volume":"113","author":"D. J. Schwab","year":"2014"},{"issue":"12","key":"ref25","doi-asserted-by":"crossref","first-page":"e1005110","DOI":"10.1371\/journal.pcbi.1005110","article-title":"Zipf\u2019s law arises naturally when there are underlying, unobserved variables","volume":"12","author":"L Aitchison","year":"2016","journal-title":"PLoS computational biology"},{"issue":"20","key":"ref26","first-page":"208102","article-title":"Common input explains higher-order correlations and entropy in a simple model of neural population activity","volume":"106","author":"J. H. Macke","year":"2011"},{"key":"ref27","unstructured":"Nonnenmacher, M., Behrens, C., Berens, P., Bethge, M., &amp; Macke, J. H. (2016). Signatures of criticality arise in simple neural population models with correlations. <italic>arXiv preprint arXiv:1603.00097<\/italic>."},{"key":"ref28","article-title":"<italic>The first steps in seeing<\/italic>","volume":"Vol. 1","author":"R. W. Rodieck","year":"1998"},{"issue":"5","key":"ref29","first-page":"617","article-title":"Intracellular recordings from gecko photoreceptors during light and dark adaptation","volume":"66","author":"J. Kleinschmidt","year":"1975"},{"issue":"1","key":"ref30","first-page":"117","article-title":"Adaptation in vertebrate photoreceptors","volume":"81","author":"G. L. Fain","year":"2001"},{"key":"ref31","article-title":"<italic>The retina: an approachable part of the brain<\/italic>","author":"J. E. Dowling","year":"1987"},{"issue":"2","key":"ref32","first-page":"460","article-title":"The synaptic and circuit mechanisms underlying a change in spatial encoding in the retina","volume":"82","author":"W. N. Grimes","year":"2014"},{"issue":"3","key":"ref33","first-page":"338","article-title":"Change of organization in the receptive fields of the cat\u2019s retina during dark adaptation","volume":"137","author":"H. B. Barlow","year":"1957"},{"key":"ref34","first-page":"247","article-title":"Functional roles of dopamine in the vertebrate retina","volume":"11","author":"P. Witkovsky","year":"1991"},{"issue":"1","key":"ref35","first-page":"17","article-title":"Dopamine and retinal function","volume":"108","author":"P. Witkovsky","year":"2004"},{"issue":"5","key":"ref36","first-page":"671","article-title":"Circadian regulation of retinomotor movements. I. Interaction of melatonin and dopamine in the control of cone length","volume":"86","author":"M. E. Pierce","year":"1985"},{"issue":"9","key":"ref37","first-page":"3025","article-title":"Dopamine decreases conductance of the electrical junctions between cultured retinal horizontal cells","volume":"82","author":"E. M. Lasater","year":"1985"},{"issue":"3","key":"ref38","first-page":"181","article-title":"Dopamine receptor localization in the mammalian retina","volume":"19","author":"J. Nguyen-Legros","year":"1999"},{"key":"ref39","article-title":"<italic>Theoretical neuroscience<\/italic>","volume":"Vol. 806","author":"P. Dayan","year":"2001"},{"issue":"5","key":"ref40","first-page":"2724","article-title":"Selectivity for multiple stimulus features in retinal ganglion cells","volume":"96","author":"A. L. Fairhall","year":"2006"},{"issue":"06","key":"ref41","first-page":"1175","article-title":"Identification and distribution of photoreceptor subtypes in the neotenic tiger salamander retina","volume":"15","author":"D. M. Sherry","year":"1998"},{"key":"ref42","first-page":"561","article-title":"Response properties of cones from the retina of the tiger salamander","volume":"433","author":"R. J. Perry","year":"1991"},{"key":"ref43","first-page":"145","article-title":"Spectral sensitivity of cones of the monkey Macaca fascicularis","volume":"390","author":"D. A. Baylor","year":"1987"},{"issue":"11","key":"ref44","first-page":"1651","article-title":"Absorptance and spectral sensitivity measurements of rod photoreceptors of the tiger salamander, Ambystoma tigrinum","volume":"24","author":"M. C. Cornwall","year":"1984"},{"issue":"10","key":"ref45","first-page":"5411","article-title":"The structure and precision of retinal spike trains","volume":"94","author":"M. J. Berry","year":"1997"},{"issue":"1","key":"ref46","first-page":"66","article-title":"Retinal output changes qualitatively with every change in ambient illuminance","volume":"18","author":"A. Tikidji-Hamburyan","year":"2015"},{"key":"ref47","first-page":"472","article-title":"<italic>Learning Theory<\/italic>","author":"M. Dudik","year":"2004"},{"key":"ref48","unstructured":"Broderick T., Dudik M., Tkacik G., Schapire R. E., &amp; Bialek W. (2007). Faster solutions of the inverse pairwise Ising problem. <italic>arXiv preprint arXiv:0712.2437<\/italic>."},{"issue":"6620","key":"ref49","first-page":"69","article-title":"Adaptation of retinal processing to image contrast and spatial scale","volume":"386","author":"S. M. Smirnakis","year":"1997"},{"issue":"5","key":"ref50","first-page":"909","article-title":"Fast and slow contrast adaptation in retinal circuitry","volume":"36","author":"S. A. Baccus","year":"2002"},{"issue":"24","key":"ref51","first-page":"9904","article-title":"Adaptation to temporal contrast in primate and salamander retina","volume":"21","author":"D. Chander","year":"2001"},{"issue":"4","key":"ref52","first-page":"689","article-title":"Retinal adaptation to object motion","volume":"56","author":"B. P. \u00d6lveczky","year":"2007"},{"issue":"10","key":"ref53","first-page":"1155","article-title":"Recording spikes from a large fraction of the ganglion cells in a retinal patch","volume":"7","author":"R. Segev","year":"2004"},{"issue":"3","key":"ref54","first-page":"493","article-title":"Redundancy in the population code of the retina","volume":"46","author":"J. L. Puchalla","year":"2005"},{"issue":"4","key":"ref55","first-page":"2277","article-title":"Functional organization of ganglion cells in the salamander retina","volume":"95","author":"R. Segev","year":"2006"},{"key":"ref56","article-title":"<italic>Spin glasses<\/italic>","volume":"Vol. 1","author":"K. H. Fischer","year":"1993"},{"issue":"7","key":"ref57","first-page":"811","article-title":"Measuring and interpreting neuronal correlations","volume":"14","author":"M. R. Cohen","year":"2011"},{"issue":"5551","key":"ref58","first-page":"2566","article-title":"Independent and redundant information in nearby cortical neurons","volume":"294","author":"D. S. Reich","year":"2001"},{"issue":"5439","key":"ref59","first-page":"509","article-title":"Emergence of scaling in random networks","volume":"286","author":"A. L. Barab\u00e1si","year":"1999"},{"issue":"11","key":"ref60","first-page":"4384","article-title":"Infinite-ranged models of spin-glasses","volume":"17","author":"S. Kirkpatrick","year":"1978"},{"key":"ref61","article-title":"<italic>Information theory<\/italic>, <italic>inference and learning algorithms<\/italic>","author":"D. J. MacKay","year":"2003"},{"key":"ref62","first-page":"e06134","article-title":"A thesaurus for a neural population code","volume":"4","author":"E. Ganmor","year":"2015"},{"issue":"11","key":"ref63","first-page":"e1005148","article-title":"Error-robust modes of the retinal population code","volume":"12","author":"J. S. Prentice","year":"2016"},{"issue":"6","key":"ref64","first-page":"669","article-title":"Broken ergodicity","volume":"31","author":"R. G. Palmer","year":"1982"},{"key":"ref65","article-title":"Noise-Robust Modes of the Retinal Population Code Have the Geometry of \u201cRidges\u201d and Correspond to Neuronal Communities","author":"A.R Loback","year":"2017","journal-title":"Neural Computation"},{"issue":"3","key":"ref66","first-page":"241","article-title":"Redundancy reduction revisited","volume":"12","author":"H. Barlow","year":"2001"},{"issue":"5","key":"ref67","first-page":"983","article-title":"Stability of the Sherrington-Kirkpatrick solution of a spin glass model","volume":"11","author":"J. R. L. De Almeida","year":"1978"},{"key":"ref68","unstructured":"Tkacik, G., Schneidman, E., Berry, M.J., &amp; Bialek, W. (2006). Ising models for networks of real neurons. <italic>arXiv preprint<\/italic> q-bio\/0611072."},{"issue":"6","key":"ref69","doi-asserted-by":"crossref","first-page":"062416","DOI":"10.1103\/PhysRevE.93.062416","article-title":"Clustering of neural codewords revealed by a first-order phase transition","volume":"93","author":"H Huang","year":"2016","journal-title":"Physical Review E"},{"issue":"6013","key":"ref70","first-page":"83","article-title":"Spontaneous cortical activity reveals hallmarks of an optimal internal model of the environment","volume":"331","author":"P. Berkes","year":"2011"},{"issue":"7553","key":"ref71","first-page":"511","article-title":"Diverse coupling of neurons to populations in sensory cortex","volume":"521","author":"M. Okun","year":"2015"}],"updated-by":[{"DOI":"10.1371\/journal.pcbi.1005792","type":"new_version","label":"New version","source":"publisher","updated":{"date-parts":[[2017,10,23]],"date-time":"2017-10-23T00:00:00Z","timestamp":1508716800000}}],"container-title":["PLOS Computational Biology"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/dx.plos.org\/10.1371\/journal.pcbi.1005792","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,5,8]],"date-time":"2020-05-08T20:19:34Z","timestamp":1588969174000},"score":1,"resource":{"primary":{"URL":"https:\/\/dx.plos.org\/10.1371\/journal.pcbi.1005792"}},"subtitle":[],"editor":[{"given":"Lyle J.","family":"Graham","sequence":"first","affiliation":[],"role":[{"role":"editor","vocabulary":"crossref"}]}],"short-title":[],"issued":{"date-parts":[[2017,10,11]]},"references-count":71,"journal-issue":{"issue":"10","published-online":{"date-parts":[[2017,10,11]]}},"URL":"https:\/\/doi.org\/10.1371\/journal.pcbi.1005792","relation":{"new_version":[{"id-type":"doi","id":"10.1371\/journal.pcbi.1005792","asserted-by":"object"}]},"ISSN":["1553-7358"],"issn-type":[{"value":"1553-7358","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017,10,11]]}}}