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The deep minimizing movement scheme (Q6087937)

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scientific article; zbMATH DE number 7766231

Language	Label	Description	Also known as
English	The deep minimizing movement scheme	scientific article; zbMATH DE number 7766231

Statements

scholarly article

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The deep minimizing movement scheme (English)

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Cheolhyeong Kim

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Journal of Computational Physics

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publication date

16 November 2023

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full work available at URL

https://arxiv.org/abs/2109.14851

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zbMATH Keywords

minimizing movement scheme

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JKO scheme

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neural networks

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MaRDI profile type

MaRDI publication profile

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The Variational Formulation of the Fokker--Planck Equation

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The scalar auxiliary variable (SAV) approach for gradient flows

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A generalized SAV approach with relaxation for dissipative systems

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Improving the accuracy and consistency of the scalar auxiliary variable (SAV) method with relaxation

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Neural‐network‐based approximations for solving partial differential equations

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Physics-informed neural networks: a deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations

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Deep neural network approach to forward-inverse problems

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Trend to equilibrium for the kinetic Fokker-Planck equation via the neural network approach

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DGM: a deep learning algorithm for solving partial differential equations

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The Deep Ritz Method: a deep learning-based numerical algorithm for solving variational problems

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Deep Nitsche Method: Deep Ritz Method with Essential Boundary Conditions

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DeepXDE: A Deep Learning Library for Solving Differential Equations

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THE GEOMETRY OF DISSIPATIVE EVOLUTION EQUATIONS: THE POROUS MEDIUM EQUATION

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Local minimization, variational evolution and \(\Gamma\)-convergence

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Optimal transport for applied mathematicians. Calculus of variations, PDEs, and modeling

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Convergence of the Allen--Cahn Equation with Neumann Boundary Conditions

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On the equality between Monge's infimum and Kantorovich's minimum in optimal mass transportation

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Existence and uniqueness of monotone measure-preserving maps

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Approximation by superpositions of a sigmoidal function

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Simultaneous approximations of multivariate functions and their derivatives by neural networks with one hidden layer

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Traveling wave solutions of partial differential equations via neural networks

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Asymptotic L^1-decay of solutions of the porous medium equation to self-similarity

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Identifiers

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1016/J.JCP.2023.112518

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Sitelinks

Mathematics(1 entry)

mardi Publication:6087937

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