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(Neural Computation. 2005;17:1962-2005.)
© 2005 The MIT Press

Letter

Data-Robust Tight Lower Bounds to the Information Carried by Spike Times of a Neuronal Population

G. Pola

g_pola{at}yahoo.co.uk, Department of Pure and Applied Mathematics, University of L'Aquila, I-67010 L'Aquila, Italy

R. S. Petersen

r.petersen{at}manchester.ac.uk, University of Manchester, Faculty of Life Sciences, Manchester M60 1QD, U.K.

A. Thiele

alex.thiele{at}ncl.ac.uk, Psychology, Brain, and Behaviour, University of Newcastle upon Tyne Newcastle upon Tyne, NE2 4HH, U.K.

M. P. Young

m.p.young{at}ncl.ac.uk, Psychology, Brain, and Behaviour, University of Newcastle upon Tyne Newcastle upon Tyne, NE2 4HH, U.K.

S. Panzeri

s.panzeri{at}manchester.ac.uk, The University of Manchester, Faculty of Life Sciences, Moffat Building, PO Box 88, Manchester M60 1QD, U.K.

We develop new data-robust lower-bound methods to quantify the information carried by the timing of spikes emitted by neuronal populations. These methods have better sampling properties and are tighter than previous bounds based on neglecting correlation in the noise entropy. Our new lower bounds are precise also in the presence of strongly correlated firing. They are not precise only if correlations are strongly stimulus modulated over a long time range. Under conditions typical of many neurophysiological experiments, these techniques permit precise information estimates to be made even with data samples that are three orders of magnitude smaller than the size of the response space.




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