Fisher information for spike-based population decoding |
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Authors: | Toyoizumi Taro Aihara Kazuyuki Amari Shun-ichi |
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Institution: | Institute of Industrial Science, University of Tokyo, 4-6-1 Komaba, Meguro, Tokyo 113-8656, Japan. taro.toyoizumi@brain.riken.jp |
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Abstract: | We evaluate the Fisher information of a population of model neurons that receive dynamical input and interact via spikes. With spatially independent threshold noise, the spike-based Fisher information that summarizes the information carried by individual spike timings has a particularly simple analytical form. We calculate the loss of information caused by abandoning spike timing and study the effect of synaptic connections on the Fisher information. For a simple spatiotemporal input, we derive the optimal recurrent connectivity that has a local excitation and global inhibition structure. The optimal synaptic connections depend on the spatial or temporal feature of the input that the system is designed to code. |
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