Bayesian Brain: Probabilistic Approaches to Neural Coding by Kenji Doya, Shin Ishii, Alexandre Pouget, Visit Amazon's

By Kenji Doya, Shin Ishii, Alexandre Pouget, Visit Amazon's Rajesh P.N. Rao Page, search results, Learn about Author Central, Rajesh P.N. Rao,

A Bayesian technique can give a contribution to an knowing of the mind on a number of degrees, via giving normative predictions approximately how an incredible sensory procedure may still mix past wisdom and commentary, by way of supplying mechanistic interpretation of the dynamic functioning of the mind circuit, and via suggesting optimum methods of decoding experimental info. Bayesian mind brings jointly contributions from either experimental and theoretical neuroscientists that learn the mind mechanisms of notion, selection making, and motor keep watch over based on the recommendations of Bayesian estimation.After an outline of the mathematical innovations, together with Bayes' theorem, which are easy to realizing the techniques mentioned, individuals talk about how Bayesian options can be utilized for interpretation of such neurobiological information as neural spikes and useful mind imaging. subsequent, participants study the modeling of sensory processing, together with the neural coding of knowledge in regards to the outdoors international. ultimately, members discover dynamic procedures for correct behaviors, together with the maths of the rate and accuracy of perceptual judgements and neural versions of trust propagation.

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7 The generalized integrate-and-fire model. The stimulus is filtered by f , then integrated to threshold. A Gaussian time-varying noise is added to the filtered stimulus, as is a post-spike current waveform h. Figure courtesy of Jonathan Pillow. Finding Multiple Features Let us backtrack and take a more formal and more geometric perspective on the ground we have covered so far. Let us consider a stimulus s- spatial, temporal, spatiotemporal, spectrotemporal, or otherwise- as a vector of discrete values, where the discretization scale may be set by the correlation length.

In practice this is not possible as the number of possibilities for w increases as 2 N , so that P(w)and P(w1 s) rapidly become impossible to sample. In general, the issue of finite sampling poses something of a problem for information-theoretic approaches and has accordingly been an active area of study. This topic deserves a chapter on its own and so we will simply point the reader in the direction of a few recent papers addressing finite size biases in information estimates, with particular application to neuroscience [75, 49, 77, 45, 44, 34, 801.

We still seek a more general approach to decoding that integrates stimulus ensemble, and encoding models that capture the essence of the wide variety of cellular and network mechanisms that underlie adaptive phenomena. 5 Recommended Reading We have taken a rather idiosyncratic path through a selection of topics on neural coding. We recommend the more extended treatment given to some aspects of this chapter in the excellent monographs Spikes, by Rieke et al. 1581 and Spiking Neuron Models, by Gerstner and Kistler 1281, and the textbook Theoretical Neuroscience, by Dayan and Abbott 1171.

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