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An N log N Parallel Fast Direct Solver for Kernel Matrices

An N log N Parallel Fast Direct Solver for Kernel Matrices

Kernel matrices appear in machine learning and non-parametric statistics. Given N points in d dimensions and a kernel function that requires O(d) work to evaluate, we present an O(dN log N)-work algorithm for the approximate factorization of a regularized kernel matrix, a common computational bottleneck in the training phase of …