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High-dimensional density estimation with tensorizing flow
We propose the tensorizing flow method for estimating high-dimensional probability density functions from observed data. Our method combines the...
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Spatial best linear unbiased prediction: a computational mathematics approach for high dimensional massive datasets
With the advent of massive data sets, much of the computational science and engineering community has moved toward data-intensive approaches in...
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An Adaptive ANOVA Stochastic Galerkin Method for Partial Differential Equations with High-dimensional Random Inputs
It is known that standard stochastic Galerkin methods encounter challenges when solving partial differential equations with high-dimensional random...
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High-Dimensional and Panel Data
We have considered in several instances, see e.g. Sects. 1.3 , 5.5...
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Pre-Training Physics-Informed Neural Network with Mixed Sampling and Its Application in High-Dimensional Systems
Recently, the physics-informed neural network shows remarkable ability in the context of solving the low-dimensional nonlinear partial differential...
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Limiting spectral distribution of high-dimensional noncentral Fisher matrices and its analysis
Fisher matrix is one of the most important statistics in multivariate statistical analysis. Its eigenvalues are of primary importance for many...
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A Modified A Posteriori Subcell Limiter for High Order Flux Reconstruction Scheme for One-Dimensional Detonation Simulation
In this paper, a modified a posteriori limiter is developed for high order flux reconstruction (FR) scheme for the numerical simulation of detonation...
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Variable transformations in combination with wavelets and ANOVA for high-dimensional approximation
We use hyperbolic wavelet regression for the fast reconstruction of high-dimensional functions having only low-dimensional variable interactions....
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Nearly optimal Bayesian shrinkage for high-dimensional regression
During the past decade, shrinkage priors have received much attention in Bayesian analysis of high-dimensional data. This paper establishes the...
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On eigenvalues of a high-dimensional Kendall’s rank correlation matrix with dependence
In this paper, we investigate the limiting spectral distribution of a high-dimensional Kendall’s rank correlation matrix. The underlying population...
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Three-Dimensional Simulation of a High-Velocity Body Motion in a Tube with Rarefied Gas
AbstractFlow around a body moving at a high subsonic velocity in a tube filled with rarefied gas is studied. This aerodynamic problem is considered...
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ASYMPTOTIC PROBLEMS OF RECONSTRUCTION OF HIGH-FREQUENCY DATA OF THE WAVE EQUATION
We consider the Cauchy problem for the one-dimensional hyperbolic equation with an unknown right-hand side, which rapidly oscillates in time. This...
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Numerical Study of High-Dimensional Optimization Problems Using a Modification of Polyak’s Method
AbstractA modification of Polyak’s special method of convex optimization is proposed. The properties of the corresponding algorithm are studied by...
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Variable-coefficient parabolic theory as a high-dimensional limit of elliptic theory
This paper continues the study initiated in Davey (Arch Ration Mech Anal 228:159–196, 2018), where a high-dimensional limiting technique was...
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Selection of Fixed Effects in High-dimensional Generalized Linear Mixed Models
The selection of fixed effects is studied in high-dimensional generalized linear mixed models (HDGLMMs) without parametric distributional assumptions...
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An Effective Multigrid Method for Solving Problems of High-Frequency Vibrational Convection
AbstractThe paper describes an implemented algorithm for solving the problem of vibrational convection in a rectangular domain filled with an...
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Projection-based High-dimensional Sign Test
This article is concerned with the high-dimensional location testing problem. For high-dimensional settings, traditional multivariate-sign-based...
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Multiple Change Points Detection in High-Dimensional Multivariate Regression
This paper considers the problem of detecting structural changes in a high-dimensional regression setting. The structural parameters are subject to...