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math.NA2019
Fast Approximation of the Gauss-Newton Hessian Matrix for the Multilayer Perceptron
Chao Chen, Severin Reiz, Chenhan Yu +2
We introduce a fast algorithm for entry-wise evaluation of the Gauss-Newton Hessian (GNH) matrix for the fully-connected feed-forward neural network. The algorithm has a precomputa…
physics.comp-ph2019
Parallelization of the inverse fast multipole method with an application to boundary element method
Toru Takahashi, Chao Chen, Eric Darve
We present an algorithm to parallelize the inverse fast multipole method (IFMM), which is an approximate direct solver for dense linear systems. The parallel scheme is based on a g…
math.NA2019
An Algebraic Sparsified Nested Dissection Algorithm Using Low-Rank Approximations
Léopold Cambier, Chao Chen, Erik G Boman +3
We propose a new algorithm for the fast solution of large, sparse, symmetric positive-definite linear systems, spaND -- sparsified Nested Dissection. It is based on nested dissecti…