Title
Spikernels: Predicting Arm Movements by Embedding Population Spike Rate Patterns in Inner-Product Spaces
Abstract
Inner-product operators, often referred to as kernels in statistical learning, define a mapping from some input space into a feature space. The focus of this letter is the construction of biologically motivated kernels for cortical activities. The kernels we derive, termed Spikernels, map spike count sequences into an abstract vector space in which we can perform various prediction tasks. We discuss in detail the derivation of Spikernels and describe an efficient algorithm for computing their value on any two sequences of neural population spike counts. We demonstrate the merits of our modeling approach by comparing the Spikernel to various standard kernels in the task of predicting hand movement velocities from cortical recordings. All of the kernels that we tested in our experiments outperform the standard scalar product used in linear regression, with the Spikernel consistently achieving the best performance.
Year
DOI
Venue
2005
10.1162/0899766053019944
Neural Computation
Keywords
Field
DocType
scalar product,vector space,inner product,feature space,linear regression,inner product space
Feature vector,Vector space,Embedding,Sequence space,Inner product space,Models of neural computation,Algorithm,Kernel method,Artificial neural network,Mathematics
Journal
Volume
Issue
ISSN
17
3
0899-7667
Citations 
PageRank 
References 
15
1.09
6
Authors
4
Name
Order
Citations
PageRank
Shpigelman, Lavi1687.09
Y Singer2134551559.02
Paz, Rony3444.59
Vaadia, Eilon414115.90