From the entropy to the statistical structure of spike trains

Biology – Quantitative Biology – Neurons and Cognition

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

Scientific paper

We use statistical estimates of the entropy rate of spike train data in order to make inferences about the underlying structure of the spike train itself. We first examine a number of different parametric and nonparametric estimators (some known and some new), including the ``plug-in'' method, several versions of Lempel-Ziv-based compression algorithms, a maximum likelihood estimator tailored to renewal processes, and the natural estimator derived from the Context-Tree Weighting method (CTW). The theoretical properties of these estimators are examined, several new theoretical results are developed, and all estimators are systematically applied to various types of synthetic data and under different conditions. Our main focus is on the performance of these entropy estimators on the (binary) spike trains of 28 neurons recorded simultaneously for a one-hour period from the primary motor and dorsal premotor cortices of a monkey. We show how the entropy estimates can be used to test for the existence of long-term structure in the data, and we construct a hypothesis test for whether the renewal process model is appropriate for these spike trains. Further, by applying the CTW algorithm we derive the maximum a posterior (MAP) tree model of our empirical data, and comment on the underlying structure it reveals.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

From the entropy to the statistical structure of spike trains does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with From the entropy to the statistical structure of spike trains, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and From the entropy to the statistical structure of spike trains will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-358525

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.