2 citations · 8 across the 10 of their papers we have counts for
4 papers · 1 filter
Contraction methods for continuous optimization
Xiaopeng Luo, Xin Xu
Motivated by the grid search method and Bayesian optimization, we introduce the concept of contractibility and its applications in model-based optimization. First, a basic framewor…
Numerical meshless solution of high-dimensional sine-Gordon equations via Fourier HDMR-HC approximation
Xin Xu, Xiaopeng Luo, Herschel Rabitz
In this paper, an implicit time stepping meshless scheme is proposed to find the numerical solution of high-dimensional sine-Gordon equations (SGEs) by combining the high dimension…
Meshless Hermite-HDMR finite difference method for high-dimensional Dirichlet problems
Xiaopeng Luo, Xin Xu, Herschel Rabitz
In this paper, a meshless Hermite-HDMR finite difference method is proposed to solve high-dimensional Dirichlet problems. The approach is based on the local Hermite-HDMR expansion…
Sparse residual tree and forest
Xin Xu, Xiaopeng Luo
Sparse residual tree (SRT) is an adaptive exploration method for multivariate scattered data approximation. It leads to sparse and stable approximations in areas where the data is…