# [link] Bayesian inference with probabilistic population codes

post by Gunnar_Zarncke · 2015-05-13T21:11:05.519Z · score: 10 (10 votes) · LW · GW · Legacy · 2 comments*Bayesian inference with probabilistic population codes* by Wei Ji Ma et al 2006

Recent psychophysical experiments indicate that humans perform near-optimal Bayesian inference in a wide variety of tasks, ranging from cue integration to decision making to motor control. This implies that neurons both represent probability distributions and combine those distributions according to a close approximation to Bayes’ rule. At first sight, it would seem that the high variability in the responses of cortical neurons would make it difficult to implement such optimal statistical inference in cortical circuits. We argue that, in fact, this variability implies that populations of neurons automatically represent probability distributions over the stimulus, a type of code we call probabilistic population codes. Moreover, we demonstrate that the Poissonlike variability observed in cortex reduces a broad class of Bayesian inference to simple linear combinations of populations of neural activity. These results hold for arbitrary probability distributions over the stimulus, for tuning curves of arbitrary shape and for realistic neuronal variability.

Note that "humans perform near-optimal Bayesian inference" refers to the integration of information - not conscious symbolic reasoning. Nonetheless I think this is of interest here.

## 2 comments

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System 1 does good Bayesian inference, System 2 not so much.