Indexing the approximate number system [PDF]
Acta Psychologica, 2014 Much recent research attention has focused on understanding individual differences in the approximate number system, a cognitive system believed to underlie human mathematical competence. To date researchers have used four main indices of ANS acuity, and have typically assumed that they measure similar properties. Here we report a study which questions
Matthew, Inglis, Camilla, Gilmore
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Numerosities and Other Magnitudes in the Brains: A Comparative View
Frontiers in Psychology, 2021 The ability to represent, discriminate, and perform arithmetic operations on discrete quantities (numerosities) has been documented in a variety of species of different taxonomic groups, both vertebrates and invertebrates.
Elena Lorenzi +2 more
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Stimulus frequency alone can account for the size effect in number comparison
Acta Psychologica, 2023 In a number comparison task, the size effect (i.e, smaller values are easier to compare than larger values) is usually attributed to a psychophysics-based representation.
Attila Krajcsi, Petia Kojouharova
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Visual nesting impacts approximate number system estimation [PDF]
Attention, Perception, & Psychophysics, 2012 The approximate number system (ANS) allows people to quickly but inaccurately enumerate large sets without counting. One popular account of the ANS is known as the accumulator model. This model posits that the ANS acts analogously to a graduated cylinder to which one "cup" is added for each item in the set, with set numerosity read from the "height" of
Dana L, Chesney, Rochel, Gelman
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A Domain-General Sense of Confidence in Children [PDF]
Open Mind, 2018 Our minds constantly evaluate the confidence in what we see, think, and remember. Previous work suggests that confidence is a domain-general currency in adulthood, unifying otherwise independent sensory and perceptual representations.
Carolyn Baer +2 more
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Learning fuzzy inference systems using an adaptive membership function scheme [PDF]
, 1996 An adaptive membership function scheme for general additive fuzzy systems is proposed in this paper. The proposed scheme can adapt a proper membership function for any nonlinear input-output mapping, based upon a minimum number of rules and an initial ...
Lotfi, A, Tsoi, AC
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The precision of mapping between number words and the approximate number system predicts children's formal math abilities. [PDF]
J Exp Child Psychol, 2016 Libertus ME +3 more
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Modeling the approximate number system to quantify the contribution of visual stimulus features. [PDF]
Cognition, 2015 DeWind NK +3 more
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Changing the precision of preschoolers' approximate number system representations changes their symbolic math performance. [PDF]
J Exp Child Psychol, 2016 Wang JJ +3 more
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Rigid continuation paths I. Quasilinear average complexity for solving polynomial systems [PDF]
, 2019 How many operations do we need on the average to compute an approximate root of a random Gaussian polynomial system? Beyond Smale's 17th problem that asked whether a polynomial bound is possible, we prove a quasi-optimal bound $\text{(input size)}^{1+o(1)
Lairez, Pierre
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