Valuations for Spike Train Prediction

Vladimir Itskov, Carina Curto, Kenneth D. Harris
2008 Neural Computation  
The ultimate product of an electrophysiology experiment is often a decision on which biological hypothesis or model best explains the observed data. We outline a paradigm designed for comparison of different models, which we refer to as spike train prediction. A key ingredient of this paradigm is a prediction quality valuation that estimates how close a predicted conditional intensity function is to an actual observed spike train. Although a valuation based on log likelihood (L) is most
more » ... it has various complications in this context. We propose that a quadratic valuation (Q) can be used as an alternative to L. Q shares some important theoretical properties with L, including consistency, and the two valuations perform similarly on simulated and experimental data. Moreover, Q is more robust than L, and optimization with Q can dramatically improve computational efficiency. We illustrate the utility of Q for comparing models of peer prediction, where it can be computed directly from crosscorrelograms. Although Q does not have a straightforward probabilistic interpretation, Q is essentially given by Euclidean distance.
doi:10.1162/neco.2007.3179 pmid:18045025 fatcat:l3c6jx3krrhcnabohbovtq5tqq