Title
Inducing Metric Violations in Human Similarity Judgements
Abstract
Attempting to model human categorization and similarity judgements is both a very interesting but also an exceedingly difficult challenge. Some of the diffi- culty arises because of conflicting evidence whether human categorization and similarity judgements should or should not be modelled as to operate on a mental representation that is essentially metric. Intuitively, this has a strong appeal as it would allow (dis)similarity to be represented geometrically as distance in some internal space. Here we show how a single stimulus, carefully constructed in a psychophysical experiment, introduces l2 violations in what used to be an internal similarity space that could be adequately modelled as Euclidean. We term this one influential data point a conflictual judgement. We present an algorithm of how to analyse such data and how to identify the crucial point. Thus there may not be a strict dichotomy between either a metric or a non-metric internal space but rather degrees to which potentially large subsets of stimuli are represented metrically with a small subset causing a global violation of metricity.
Year
Venue
Keywords
2006
NIPS
mental representation
Field
DocType
Citations 
Categorization,Appeal,Computer science,Judgement,Artificial intelligence,Euclidean geometry,Machine learning,Mental representation
Conference
3
PageRank 
References 
Authors
0.43
8
7
Name
Order
Citations
PageRank
Julian Laub118214.21
jakob h macke2243.08
kr muller330.43
F A Wichmann423117.54
scholkopf521613.73
John Platt666111100.14
Thomas Hofmann7100641001.83