Efficient mini-batch stochastic gradient descent with centroidal Voronoi tessellation for PDE-constrained optimization under uncertainty
type: Item
instance of: scholarly article
title: Efficient mini-batch stochastic gradient descent with centroidal Voronoi tessellation for PDE-constrained optimization under uncertainty
zbMATH Open document ID: 1545.65426
author: Liuhong Chen
author: Meixin Xiong
author: Ju Ming
author: Xiaoming He
published in: Physica D
publication date: 2024-08-06T00:00:00Z
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65N75
Mathematics Subject Classification ID: 65K10
Mathematics Subject Classification ID: 49M41
Mathematics Subject Classification ID: 65N50
Mathematics Subject Classification ID: 60H35
Mathematics Subject Classification ID: 52C20
Mathematics Subject Classification ID: 52C22
Mathematics Subject Classification ID: 35R60
zbMATH DE Number: 7893175
zbMATH Keywords: PDE-constrained optimization
zbMATH Keywords: optimization with uncertainty
zbMATH Keywords: mini-batch stochastic gradient descent
zbMATH Keywords: sampling methods
zbMATH Keywords: centroidal Voronoi tessellation
MaRDI profile type: Publication
cites work: Computational Optimization of Systems Governed by Partial Differential Equations
cites work: Numerical PDE-Constrained Optimization
cites work: Large-scale PDE-constrained optimization in applications
cites work: Optimization with PDE Constraints
cites work: Stochastic finite element methods for partial differential equations with random input data
cites work: A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data
cites work: A Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data
cites work: An efficient Monte Carlo method for optimal control problems with uncertainty
cites work: A Distributed Optimal Control Problem with Averaged Stochastic Gradient Descent
cites work: PDE-Constrained Optimal Control Problems with Uncertain Parameters using SAGA
cites work: Complexity Analysis of stochastic gradient methods for PDE-constrained optimal Control Problems with uncertain parameters
cites work: A stochastic gradient method for a class of nonlinear PDE-constrained optimal control problems under uncertainty
cites work: Large-Scale Machine Learning with Stochastic Gradient Descent
cites work: Nonparametric stochastic approximation with large step-sizes
cites work: Acceleration of Stochastic Approximation by Averaging
cites work: Centroidal Voronoi Tessellations: Applications and Algorithms
cites work: Q5439728
cites work: Stochastic proximal gradient methods for nonconvex problems in Hilbert spaces
cites work: A Stochastic Approximation Method
cites work: Statistical measures of two dimensional point set uniformity
cites work: Constrained Centroidal Voronoi Tessellations for Surfaces
cites work: Voronoi-based finite volume methods, optimal Voronoi meshes, and PDEs on the sphere.
cites work: A computational study of preconditioning techniques for the stochastic diffusion equation with lognormal coefficient
cites work: On solving elliptic stochastic partial differential equations
cites work: SOLVING STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS BASED ON THE EXPERIMENTAL DATA
cites work: Galerkin Finite Element Approximations of Stochastic Elliptic Partial Differential Equations
cites work: Strong and weak error estimates for elliptic partial differential equations with random coefficients
cites work: Preconditioning Steady-State Navier--Stokes Equations with Random Data
cites work: Optimal Control of the Stationary Navier–Stokes Equations with Mixed Control‐State Constraints
cites work: Analysis and Finite Element Approximation of Optimal Control Problems for the Stationary Navier-Stokes Equations with Distributed and Neumann Controls
cites work: Q3574185
cites work: Q5074969
cites work: Numerical Approximation of Some Linear Stochastic Partial Differential Equations Driven by Special Additive Noises
cites work: Finite element and difference approximation of some linear stochastic partial differential equations
cites work: Semidiscrete Galerkin approximation for a linear stochastic parabolic partial differential equation driven by an additive noise
cites work: Q5439705
DOI: 10.1016/J.PHYSD.2024.134216
description: scientific article; zbMATH DE number 7893175