(b) Consider two neurons, with Bell shaped tuning curves. If these two neurons are positively signal correlation, how does the presence or absence of noise correlations between them neurons influence stimulus-response mutual information? (10 points)
4 . (a) Given the response of a neurons R to stimuli S, how is the stimulus response mutual information defined? (5 points)
Suppose you present 3 stimuli to an animal each 100 times except for the last one which is presented 300 times. Assume that this presentation protocol reflects the prior about the stimuli p(s), and that the following response frequencies were collected
|5 spikes||10 spikes||20 spikes|
|stimulus 1||50 times||50 times||0 times|
|stimulus 2||50 times||25 times||25 times|
|stimulus 3||100 times||150 times||50 times|
5 . In the network below, neurons shown as squares are binary neurons (0 and 1 output ) with a firing threshold of 2 and are receiving inputs as shown. The neuron shown as circle is a threshold-linear neuron, with the threshold of 1 and gain of 2. The number on each arrow is the weight of the coupling.
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