A Fast $\mathcal{L}_p$ Spike Alignment Metric
نویسندگان
چکیده
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.
منابع مشابه
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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. The MIT Faculty has made this article openly available. Please share how this access benefits you. Your story matters. The metrization of the space of neural responses is an ongoing research program seeking to find natural ways to des...
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