Title
Time-varying perturbations can distinguish among integrate-to-threshold models for perceptual decision making in reaction time tasks.
Abstract
Several integrate-to-threshold models with differing temporal integration mechanisms have been proposed to describe the accumulation of sensory evidence to a prescribed level prior to motor response in perceptual decision-making tasks. An experiment and simulation studies have shown that the introduction of time-varying perturbations during integration may distinguish among some of these models. Here, we present computer simulations and mathematical proofs that provide more rigorous comparisons among one-dimensional stochastic differential equation models. Using two perturbation protocols and focusing on the resulting changes in the means and standard deviations of decision times, we show that for high signal-to-noise ratios, drift-diffusion models with constant and time-varying drift rates can be distinguished from Ornstein-Uhlenbeck processes, but not necessarily from each other. The protocols can also distinguish stable from unstable Ornstein-Uhlenbeck processes, and we show that a nonlinear integrator can be distinguished from these linear models by changes in standard deviations. The protocols can be implemented in behavioral experiments.
Year
DOI
Venue
2009
10.1162/neco.2009.07-08-817
Neural Computation
Keywords
Field
DocType
decision time,temporal integration mechanism,drift-diffusion model,decision making,high signal-to-noise ratio,perceptual decision,standard deviation,reaction time task,first passage time,integrate-to-threshold model,unstable ornstein-uhlenbeck,time-varying drift rate,pulse perturbation,computational modeling,neural integrator,behavioral experiment,time-varying perturbation,reaction time,signal to noise ratio,prescriptions,ornstein uhlenbeck process,computer simulation,threshold model,linear models,stochastic differential equation,linear model,perception,nonlinear dynamics,computer model
Mathematical optimization,Nonlinear system,Linear model,Integrator,Algorithm,Models of neural computation,Stochastic differential equation,Stochastic modelling,Artificial intelligence,Artificial neural network,Prior probability,Mathematics
Journal
Volume
Issue
ISSN
21
8
0899-7667
Citations 
PageRank 
References 
3
0.50
8
Authors
3
Name
Order
Citations
PageRank
Xiang Zhou1157.60
KongFatt Wong-Lin24611.52
Philip J. Holmes319482.66