Conversely, if an internal source of noise could have a large impact on behavioral variability, it should
be small. In the context of decision making, one source that could significantly affect the behavior of the animal is a noisy integrator. Interestingly, recent experiments appear to suggest that, indeed, this integrator has very small internal noise (B.W. Brunton VE-822 price and C.D. Brody, 2011, COSYNE, abstract; Stanford et al., 2010). Note that we are not claiming that the brain is noiseless. There is internal variability, but we argue that its impact on behavioral variability is small compared to the impact of suboptimal inference. Also, we would agree that there are situations in which stochastic behavior might be advantageous, such as during motor learning (Olveczky et al., 2005; Sussillo and Abbott, 2009), when exploring a new
environment, or when unpredictable behavior is used to confuse a predator. In these situations, the brain might produce internal variability that has a significant impact on behavior. Stochasticity in the brain could also be used to perform probabilistic inference via sampling, a well-known www.selleckchem.com/products/CP-690550.html technique in machine learning (Fiser et al., 2010; Moreno-Bote et al., 2011; Sundareswara and Schrater, 2008). We emphasize, however, that sampling in the brain may or may not lead to significant extra variability at the behavioral level. On the one hand, when behavior is based upon the average of a large numbers samples, added variability due to sampling is small. On the other hand, when probability distributions are relatively flat (or
multimodal), a small number of samples could lead to a large increase in variability (Bialek and DeWeese, 1995; Moreno-Bote et al., 2011). Finally, when the numbers of neurons is small, as is the case for instance in insects, it is quite possible that internal variability is no longer negligible and has an impact comparable to suboptimal inference. In summary, we propose that because of the vast redundancy of neural circuits, noise internal to the brain is a minor contributor to behavioral variability. Rather, in light of the computational shortcuts the brain must exploit, we suggest that suboptimal inference accounts for most of our behavioral variability, and thus uncertainty, on complex tasks. We would like to thank ADAMTS5 Tony Zador, Dave Knill, Flip Sabes, Steve Lisberger, Eero Simoncelli, Tony Bell, Rich Zemel, Peter Dayan, Zach Mainen, and Mike Shadlen, who have greatly influenced our views on this issue over the years. A.P. was supported by grants from the National Science Foundation (BCS0446730), a Multidisciplinary University Research Initiative (N00014-07-1-0937), and the James McDonnell Foundation. P.E.L. was supported by the Gatsby Charitable Foundation. W.J.M. was supported by grants from the National Eye Institute (R01EY020958) and the National Science Foundation (IIS-1132009).