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==Theory==
Extensive amounts of information are available to the [[visual system]]. Ensemble coding is a theory that suggests that people process the general gist of their complex visual surroundings by grouping objects together based on shared properties. The world is filled with redundant information of which the human [[visual system]] has become particularly sensitive.<ref name="Whitney_2014" /><ref>{{cite book | vauthors = Whitney D, Haberman J, Sweeny T | date = 2014 | chapter = From textures to crowds: multiple levels of summary statistical perception. | title = In The New Visual Neuroscience | veditors = Werner JS, Chalupa LM | pages = 695–710 | ___location = Cambridge, MA | publisher = MIT Press }}</ref> The brain exploits this redundancy and condenses the information. For example, the leaves of a tree or blades of grass give rise to the percept of 'tree-ness' and 'lawn-ness'.<ref name="Haberman_2012">{{cite book |last1=Haberman |first1=Jason |last2=Whitney |first2=David| name-list-style = vanc | chapter = Ensemble Perception |date = May 2012 | title = From Perception to Consciousness |pages=339–349 |editor-last=Wolfe |editor-first=Jeremy |editor2-last=Robertson |editor2-first=Lynn |publisher=Oxford University Press |doi=10.1093/acprof:osobl/9780199734337.003.0030 |isbn=978-0-19-973433-7}}</ref> It has been demonstrated that individuals have the ability to quickly and accurately encode ensembles of objects, like leaves on a tree, and gather summary statistical information (like the mean and variance) from groups of stimuli.<ref name=":5">{{cite journal| vauthors = Alt NP, Goodale B, Lick DJ, Johnson KL |date= March 2019 |title=Threat in the Company of Men: Ensemble Perception and Threat Evaluations of Groups Varying in Sex Ratio|journal=Social Psychological and Personality Science|volume=10 |issue=2 |pages=152–159 |doi=10.1177/1948550617731498 }}</ref><ref>{{cite journal | vauthors = Alvarez GA | title = Representing multiple objects as an ensemble enhances visual cognition | language = en-US | journal = Trends in Cognitive Sciences | volume = 15 | issue = 3 | pages = 122–31 | date = March 2011 | pmid = 21292539 | doi = 10.1016/j.tics.2011.01.003 | url = https://dash.harvard.edu/handle/1/41364280 }}</ref> Some research suggests that this process provides rough visual information from the entire [[visual field]], giving way to a complete and accurate picture of the visual world.<ref>{{cite journal | vauthors = Chong SC, Treisman A | title = Representation of statistical properties | journal = Vision Research | volume = 43 | issue = 4 | pages = 393–404 | date = February 2003 | pmid = 12535996 | doi = 10.1016/S0042-6989(02)00596-5 | doi-access = free }}</ref><ref name="Seeing the mean: ensemble coding fo">{{cite journal | vauthors = Haberman J, Whitney D | title = Seeing the mean: ensemble coding for sets of faces | journal = Journal of Experimental Psychology. Human Perception and Performance | volume = 35 | issue = 3 | pages = 718–34 | date = June 2009 | pmid = 19485687 | pmc = 2696629 | doi = 10.1037/a0013899 }}</ref> Although the individual details of this accurate picture might be inaccessible, the 'gist' of the scene remains accessible.<ref name="Haberman_2012" /> Ensemble coding is an adaptive process that lightens the [[cognitive load]] in the processing and storing of visual representations through the use of [[heuristic]]s.<ref name="Seeing the mean: ensemble coding fo"/><ref name="Wolfe_2011">{{cite book |url= https://books.google.com/books?id=Kw9pAgAAQBAJ&pg=PA339 |title=From Perception to Consciousness: Searching with Anne Treisman |last1=Wolfe |first1=Jeremy |last2=Robertson |first2=Lynn | name-list-style = vanc |date= December 2011 |publisher=Oxford University Press |isbn=978-0-19-990984-1|language=en}}</ref>
== Operational definition ==
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Findings by [[Dan Ariely]] in 2001 were the first data to support the modern theories of ensemble coding. Ariely used novel experimental paradigms, which he labeled "mean discrimination" and "member identification", to examine how sets of objects are perceived. He conducted three studies involving shape ensembles that varied in size. Across all studies, participants were able to accurately encode the mean size of the ensemble of objects, but they were inaccurate when asked if a certain object was a part of the set. Ariely's findings were the first that found statistical summary information emerge in the visual perception of grouped objects.<ref name="Ariely_2001">{{cite journal | vauthors = Ariely D | s2cid = 6435925 | title = Seeing sets: representation by statistical properties | journal = Psychological Science | volume = 12 | issue = 2 | pages = 157–62 | date = March 2001 | pmid = 11340926 | doi = 10.1111/1467-9280.00327 | jstor = 40063604 }}</ref>
Consistent with Ariely's findings,<ref name="Ariely_2001" /> follow-up research conducted by Sang Chul Chong and Anne Treisman in 2003 provided evidence that participants are engaging in summary statistical processes. Their research revealed that participant's maintained high accuracy in encoding the mean size of the stimuli even with short stimuli presentations as low as 50 milliseconds, memory delays, and object distribution differences.<ref name="Chong_2003">{{cite journal | vauthors = Chong SC, Treisman A | title = Representation of statistical properties | journal = Vision Research | volume = 43 | issue = 4 | pages = 393–404 | date = February 2003 | pmid = 12535996 | doi = 10.1016/S0042-6989(02)00596-5 | doi-access = free }}</ref>
Additional research has demonstrated that ensemble coding is not limited to the mean size of objects in the ensemble,<ref name="Ariely_2001" /> but that additional content is extracted, such as average line orientation,<ref name="Dakin_1997">{{cite journal | vauthors = Dakin SC, Watt RJ | title = The computation of orientation statistics from visual texture | journal = Vision Research | volume = 37 | issue = 22 | pages = 3181–92 | date = November 1997 | pmid = 9463699 | doi = 10.1016/S0042-6989(97)00133-8 | doi-access = free }}</ref> average spatial ___location,<ref name="Alvarez_2008">{{cite journal | vauthors = Alvarez GA, Oliva A | title = The representation of simple ensemble visual features outside the focus of attention | journal = Psychological Science | volume = 19 | issue = 4 | pages = 392–8 | date = April 2008 | pmid = 18399893 | pmc = 2587223 | doi = 10.1111/j.1467-9280.2008.02098.x }}</ref> average number,<ref name="Halberda_2006">{{cite journal | vauthors = Halberda J, Sires SF, Feigenson L | title = Multiple spatially overlapping sets can be enumerated in parallel | journal = Psychological Science | volume = 17 | issue = 7 | pages = 572–6 | date = July 2006 | pmid = 16866741 | doi = 10.1111/j.1467-9280.2006.01746.x }}</ref> and statistical summaries such as the variances<ref>{{cite journal | vauthors = Solomon JA, Morgan M, Chubb C | title = Efficiencies for the statistics of size discrimination | journal = Journal of Vision | volume = 11 | issue = 12 | pages = 13 | date = October 2011 | pmid = 22011381 | pmc = 4135075 | doi = 10.1167/11.12.13 }}</ref> are detected. Observers are also able to extract accurate perceptual summaries of high-level features such as the average direction of eye gaze of grouped faces<ref>{{Cite journal|last1=Sweeny|first1=Timothy D.|last2=Whitney|first2=David|date=October 2014|title=Perceiving Crowd Attention: Ensemble Perception of a Crowd's Gaze|journal=Psychological Science|language=en|volume=25|issue=10|pages=1903–1913|doi=10.1177/0956797614544510|issn=0956-7976|pmc=4192023|pmid=25125428}}</ref> and the average walking direction of a crowd.<ref>{{Cite journal|last1=Sweeny|first1=Timothy D.|last2=Haroz|first2=Steve|last3=Whitney|first3=David|date=2013|title=Perceiving group behavior: Sensitive ensemble coding mechanisms for biological motion of human crowds.|journal=Journal of Experimental Psychology: Human Perception and Performance|language=en|volume=39|issue=2|pages=329–337|doi=10.1037/a0028712|pmid=22708744|issn=1939-1277}}</ref>
== Levels of ensemble coding ==
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