Characterization
of Neural Responses with Stochastic Stimuli
Eero P Simoncelli, Liam Paninski, Jonathan Pillow, and Odelia Schwartz
The New Cognitive Neurosciences, 3rd edition
Editor: M. Gazzaniga, 2004
© MIT Press
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A fundamental goal of sensory systems neuroscience is the characterization
of the functional relationship between environmental stimuli and neural
response. The purpose of such a characterization is to elucidate the
computation being performed by the system - a precise description of
the mechanisms underlying the response is of secondary importance. Qualitatively,
this notion is exemplified by the concept of the ``receptive field'',
a quasi-linear description of a neuron's response properties that has
dominated sensory neuroscience for the past 50 years. Receptive field
properties are typically determined by measuring responses to a highly
restricted set of stimuli, parameterized by one or a few parameters.
These stimuli are typically chosen both because they are known to produce
strong responses, and because they are easy to generate using available
technology.
While such experiments are responsible for much of what we know about
the tuning properties of sensory neurons, they typically do not provide
a complete characterization of neural response. In particular, the fact
that a cell is tuned for a particular parameter, or selective for a
particular input feature, does not necessarily tell us how it will respond
to an arbitrary stimulus. Furthermore, we have no systematic method
of knowing which particular stimulus parameters are likely to govern
the response of a given cell, and thus it is difficult to design an
experiment to probe neurons whose response properties are not at least
partially known in advance.
This
chapter provides an overview of some recently developed characterization
methods. In general, the ingredients of the problem are: (a) the selection
of a set of experimental stimuli; (b) selection of a model of response;
(c) a procedure for fitting (estimation) of the model. We discuss solutions
of this problem that combine stochastic stimuli with models based on
an initial linear filtering stage that serves to reduce the dimensionality
of the stimulus space. We begin by describing classical reverse correlation
in this context, and then discuss several recent generalizations that
increase the power and flexibility of this basic method.
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