Tuning curves for approximate numerosity in the human intraparietal sulcus.

By Manuela Piazza, Véronique Izard, Philippe Pinel, D. Le Bihan, Stanislas Dehaene. Neuron, 2004

1,077 citations recorded by the source corpus.

Subfields: Education, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/42f0d1e6d59e818d127e8352407799402756a615

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Citations in the corpus

Cultural recycling of cortical maps. (2007, neutral): “Second, monkey intraparietal neurons are each tuned to a particular numerosity and show Gaussian variability on a log scale (Nieder and Merten, 2007; Nieder and Miller, 2003, 2004), similar to inferences derived from behavioral and fMRI adaptation studies in humans (Piazza et al., 2004, 2007).”
Neural signatures of economic preferences for risk and ambiguity. (2006, background): “Whether the observed risk effects in pPAR reflect differential demands for spatial response selection (Brass and von Cramon, 2004), activation of response rules (Bunge et al., 2002), analog calculation (Piazza et al., 2004), or another factor remains an avenue for future study.”
Functional Imaging of Numerical Processing in Adults and 4-y-Old Children (2006, methodology): “current controversies in the adult literature [28,29].”
Neural Arithmetic Logic Units (2018, background): “However, across many species, continuous quantities appear to be represented using an approximate representation where acuity decreases with magnitude [22], quite different from our model’s constant precision.”
Interactions between number and space in parietal cortex (2005, methodology): “Recently, an adaptation method was used to investigate whether such numerosity tuning also exists in human”
Symbols and quantities in parietal cortex: elements of a mathematical theory of number representation and manipulation (2007, methodology): “First, Piazza et al. (2004) collected numerosity comparison judgments in adults.”
Cognitive Imprecision and Small-Stakes Risk Aversion (2018, neutral): “5) for the probability of acceptance of the risky bet, we see that the model predicts the effect observed by Frydman and Jin (2018), in which a lower value of σ results in a steeper choice curve.(63)”
Developmental trajectory of number acuity reveals a severe impairment in developmental dyscalculia. (2010, methodology): “…number system is thought to encode numerosities as analog magnitudes (Dehaene, Piazza, Pinel, & Cohen, 2003, for review), that can be modeled as overlapping Gaussian distributions of activations on a logarithmically compressed internal continuum (Izard et al., 2008; Piazza et al., 2004).”
Age-related Changes in the Activation of the Intraparietal Sulcus during Nonsymbolic Magnitude Processing: An Event-related Functional Magnetic Resonance Imaging Study (2006, background): “More recently, Piazza, Izard, Pinel, Le Bihan, and Dehaene (2004) studied numerosity habituation and change detection with nonsymbolic stimuli (arrays of dots).,Furthermore, functional neuroimaging studies have implicated the left IPS in calculation (Venkatraman et al., 2005; Gruber et al., 2001),”