A visual sense of number emerges from the dynamics of a recurrent on-center off-surround neural network

Brain Research

Volumn 1582, Issue , 2014, Pages 114-124

  Sengupta, Rakesh ^a   Surampudi, Bapi Raju ^a   Melcher, David ^b  

^a UNIVERSITY OF HYDERABAD   (India)

^b UNIVERSITY OF TRENTO   (Italy)

Author keywords

Computational model On center off surround; Enumeration; Neural network; Numerical cognition; Spatial attention Individuation; Visual sense of numbers

Indexed keywords

ARTICLE; ARTIFICIAL NEURAL NETWORK; COGNITION; FUNCTIONAL MAGNETIC RESONANCE IMAGING; MATHEMATICAL COMPUTING; REACTION TIME; RECURRENT INHIBITION; RECURRENT ON CENTER OFF SURROUND NEURAL NETWORK; STEADY STATE; TASK PERFORMANCE; ALGORITHM; BIOLOGICAL MODEL; BRAIN; COMPARATIVE STUDY; HUMAN; MATHEMATICAL PHENOMENA; NUCLEAR MAGNETIC RESONANCE IMAGING; PHYSIOLOGY;

ALGORITHMS; BRAIN; COGNITION; HUMANS; MAGNETIC RESONANCE IMAGING; MATHEMATICAL CONCEPTS; MODELS, NEUROLOGICAL; NEURAL NETWORKS (COMPUTER); REACTION TIME;

EID: 84904570381     PISSN: 00068993     EISSN: 18726240     Source Type: Journal    
DOI: 10.1016/j.brainres.2014.03.014     Document Type: Article

References (31)

1. R. Bogacz, M. Usher, J. Zhang, and J.L. McClelland Extending a biologically inspired model of choice: multi-alternatives, nonlinearity and value-based multidimensional choice Philos. Trans. R. Soc. Lond. B: Biol. Sci. 362 2007 1655 1670
2. D. Burr, and J. Ross Visual sense of numbers Curr. Biol. 18 2008 425 428
3. D. Burr, and J. Ross Response: visual number Curr. Biol. 18 2008 R855 R856
4. D. Burr, M. Turi, and G. Anobile Subitizing but not estimation of numerosity requires attentional resources J. Vis. 10 2010 1 10
5. S. Dehaene, and J.P. Changeux Development of elementary numerical abilities: a neuronal model J. Cogn. Neurosci. 5 1993 390 407
6. C.R. Gallistel, and R. Gelman Preverbal and verbal counting and computation Cognition 44 1 1992 43 74
7. P. Gordon Numerical cognition without words: evidence from Amazonia Science 306 2004 496 499
8. J. Gottlieb, and M.E. Goldberg Activity of neurons in the lateral intraparietal area of the monkey during an antisaccade task Nat. Neurosci. 2 1999 906 912
9. S. Grossberg Contour enhancement, short term memory, and constancies in reverberating neural networks Stud. Appl. Math. LII 1973 213 257
10. S. Grossberg, and D.V. Repin A neural model of how the brain represents and compares multi-digit numbers: spatial and categorical processes Neural Netw. 16 8 2003 1107 1140
11. M.D. Hauser, F. Tsao, P. Garcia, and E.S. Spelke Evolutionary foundations of number: spontaneous representation of numerical magnitudes by cotton-top tamarins Proc. R. Soc. B: Biol. Sci. 270 2003 1441 1446
12. E.L. Kaufman, M.W. Lord, T. Reese, and J. Volkmann The discrimination of visual number Am. J. Psychol. 62 1949 498 525
13. M. Kawasaki, M. Watanabe, J. Okuda, M. Sakagami, and K. Aihara Human posterior parietal cortex maintains color, shape and motion in visual short-term memory Brain Res. 1213 2008 91 97
14. D. Melcher, and M. Piazza The role of attentional priority and saliency in determining capacity limits in enumeration and visual working memory PLoS One 6 2011 1 11
15. M.A. Mohamed, D.M. Yousem, A. Tekes, N. Browner, and V.D. Calhoun Correlation between the amplitude of cortical activation and reaction time: a functional MRI study Am. J. Roentgenol. 183 3 2004 759 765
16. A. Nieder, D.J. Freedman, and E.K. Miller Representation of the quantity of visual items in the primate prefrontal cortex Science 297 2002 1708 1711
17. M. Piazza, A. Fumarola, A. Chinello, and D. Melcher Subitizing reflects visuo-spatial object individuation capacity Cognition 121 2011 147 153
18. M. Piazza, V. Izard, P. Pinel, D. Le Bihan, and S. Dehaene Tuning curves for approximate numerosity in the human intraparietal sulcus Neuron 44 3 2004 547 555
19. S.K. Revkin, M. Piazza, V. Izard, L. Cohen, and S. Dehaene Does subitizing reflect numerical estimation? Psychol. Sci. 19 2008 607 614
20. C. Roggeman, W. Fias, and T. Verguts Salience maps in parietal cortex: imaging and computational modeling NeuroImage 52 2010 1005 1014
21. J.D. Roitman, E.M. Brannon, and M.L. Platt Monotonic coding of numerosity in macaque lateral intraparietal area PLoS Biol. 5 2007 1673 1682
22. I. Stoianov, and M. Zorzi Emergence of a 'visual number sense' in hierarchical generative models Nat. Neurosci. 15 2012 194 196
23. J.J. Todd, and R. Marois Posterior parietal cortex activity predicts individual differences in visual short-term memory capacity Cogn. Affect. Behav. Neurosci. 5 2005 144 155
24. J.J. Todd, and R. Marois Capacity limit of visual short-term memory in human posterior parietal cortex Nature 428 2004 751 754
25. L.M. Trick, and Z.W. Pylyshyn Why are small and large numbers enumerated differently? A limited-capacity preattentive stage in vision Psychol. Rev. 101 1 1994 80 102
26. M. Usher, and J.D. Cohen Short term memory and selection processes in a frontal-lobe model, model D. Heinke, G.W. Humphreys, A. Olson, Connectionist Models in Cognitive Neuroscience 1999 Springer-Verlag London 78 91
27. C. von der Malsburg, and J. Buhmann Sensory segmentation with coupled neural oscillators Biol. Cybern. 67 1992 233 242
28. E.K. Vogel, and M.G. Machizawa Neural activity predicts individual differences in visual working memory capacity Nature 428 2004 748 751
29. J. Whalen, C.R. Gallistel, and R. Gelman Nonverbal counting in humans: the psychophysics of number representation Psychol. Sci. 10 1999 130 137
30. F. Xu, and E.S. Spelke Large number discrimination in 6-month-old infants Cognition 74 2000 B1 B11
31. T. Yarkoni, D.M. Barch, J.R. Gray, T.E. Conturo, and T.S. Braver BOLD correlates of trial-by-trial reaction time variability in gray and white matter: a multi-study fMRI analysis PLoS One 4 1 2009 e4257