Title
Extracting Number-Selective Responses from Coherent Oscillations in a Computer Model
Abstract
Cortical neurons selective for numerosity may underlie an innate number sense in both animals and humans. We hypothesize that the number- selective responses of cortical neurons may in part be extracted from coherent, object-specific oscillations . Here, indirect evidence for this hypothesis is obtained by analyzing the numerosity information encoded by coherent oscillations in artificially generated spikes trains. Several experiments report that gamma-band oscillations evoked by the same object remain coherent, whereas oscillations evoked by separate objects are uncorrelated. Because the oscillations arising from separate objects would add in random phase to the total power summed across all stimulated neurons, we postulated that the total gamma activity, normalized by the number of spikes, should fall roughly as the square root of the number of objects in the scene, thereby implicitly encoding numerosity. To test the hypothesis, we examined the normalized gamma activity in multiunit spike trains, 50 to 1000 msec in duration, produced by a model feedback circuit previously shown to generate realistic coherent oscillations. In response to images containing different numbers of objects, regardless of their shape, size, or shading, the normalized gamma activity followed a square-root-of-n rule as long as the separation between objects was sufficiently large and their relative size and contrast differences were not too great. Arrays of winner-take-all numerosity detectors, each responding to normalized gamma activity within a particular band, exhibited tuning curves consistent with behavioral data. We conclude that coherent oscillations in principle could contribute to the number-selective responses of cortical neurons, although many critical issues await experimental resolution.
Year
DOI
Venue
2007
10.1162/neco.2007.19.7.1766
Neural Computation
Keywords
Field
DocType
normalized gamma activity,cortical neuron,coherent oscillation,separate object,realistic coherent oscillation,different number,encoding numerosity,innate number sense,numerosity information,total gamma activity,Coherent Oscillations,Computer Model,Extracting Number-Selective Responses
Numerosity adaptation effect,Oscillation,Normalization (statistics),Biological system,Models of neural computation,Artificial intelligence,Artificial neural network,Neuron,Statistical hypothesis testing,Algorithm,Square root,Machine learning,Mathematics
Journal
Volume
Issue
ISSN
19
7
0899-7667
Citations 
PageRank 
References 
2
0.85
3
Authors
2
Name
Order
Citations
PageRank
Jeremy A. Miller1242.71
Garrett T. Kenyon28119.92