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A fast Lp spike alignment metric
| Citations: | 9 - 1 self |
BibTeX
@TECHREPORT{Dubbs_afast,
author = {Alexander J. Dubbs and Brad A. Seiler and Marcelo and O. Magnasco},
title = {A fast Lp spike alignment metric},
institution = {},
year = {}
}
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Abstract
Abstract. The metrization of the space of neural responses is an ongoing research program seeking to find natural ways to describe, in geometrical terms, the sets of possible activities in the brain. One component of this program are the spike metrics, notions of distance between two spike trains recorded from a neuron. Alignment spike metrics work by identifying “equivalent ” spikes in one train and the other. We present an alignment spike metric having Lp underlying geometrical structure; the L2 version is Euclidean and is suitable for further embedding in Euclidean spaces by Multidimensional Scaling methods or related procedures. We show how to implement a fast algorithm for the computation of this metric based on bipartite graph matching theory. 1.
Keyphrases
fast lp spike alignment equivalent spike fast algorithm lp underlying geometrical structure alignment spike neural response spike train geometrical term spike metric possible activity multidimensional scaling method euclidean space bipartite graph l2 version ongoing research program related procedure natural way alignment spike metric work
