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A Fast L-p Spike Alignment Metric

Author(s)
Dubbs, Alexander Joseph; Seiler, Brad A.; Magnasco, Marcel O.
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.

Alternative title
A Fast ℒp Spike Alignment Metric
Terms of use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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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 is spike metrics—notions of distance between two spike trains recorded from a neuron. Alignment spike metrics work by identifying “equivalent” spikes in both trains. 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.
Date issued
2010-10
URI
http://hdl.handle.net/1721.1/60302
Department
Massachusetts Institute of Technology. Department of Mathematics
Journal
Neural Computation
Publisher
MIT Press
Citation
Dubbs, Alexander J., Brad A. Seiler, and Marcelo O. Magnasco. “A Fast ℒp Spike Alignment Metric.” Neural Computation 22.11 (2010): 2785-2808. © 2010 Massachusetts Institute of Technology
Version: Final published version
ISSN
0899-7667
1530-888X

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