Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Analyzing neural responses to natural signals: Maximally informative
  dimensions   We propose a method that allows for a rigorous statistical analysis of neural
responses to natural stimuli which are non-Gaussian and exhibit strong
correlations. We have in mind a model in which neurons are selective for a
small number of stimulus dimensions out of a high dimensional stimulus space,
but within this subspace the responses can be arbitrarily nonlinear. Existing
analysis methods are based on correlation functions between stimuli and
responses, but these methods are guaranteed to work only in the case of
Gaussian stimulus ensembles. As an alternative to correlation functions, we
maximize the mutual information between the neural responses and projections of
the stimulus onto low dimensional subspaces. The procedure can be done
iteratively by increasing the dimensionality of this subspace. Those dimensions
that allow the recovery of all of the information between spikes and the full
unprojected stimuli describe the relevant subspace. If the dimensionality of
the relevant subspace indeed is small, it becomes feasible to map the neuron's
input-output function even under fully natural stimulus conditions. These ideas
are illustrated in simulations on model visual and auditory neurons responding
to natural scenes and sounds, respectively.

8
The categories of this paper are: hep-ex
14
The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn