Cover Image

Computational Control of Nonlinear Partial Differential Equations Using Machine Learning

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Kurbanov, Maximilian, Phung, Minh-Nhat, Tran, Minh-Binh
Format:	Preprint
Published:	2026
Subjects:	Optimization and Control Numerical Analysis
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Control, Optimal Transport and Neural Differential Equations in Supervised Learning
by: Phung, Minh-Nhat, et al.
Published: (2025)

A globally convergent Carleman-Picard method for an inverse initial-value problem for a nonlinear diffusive coagulation-fragmentation equation coagulation-fragmentation equation
by: Le, Thuy T., et al.
Published: (2026)

Control and optimization for Neural Partial Differential Equations in Supervised Learning
by: Bensoussan, Alain, et al.
Published: (2025)

Internal Control of The Transition Kernel for Stochastic Lattice Dynamics
by: Hannani, Amirali, et al.
Published: (2024)

Controlling the Rates of a Chain of Harmonic Oscillators with a Point Langevin Thermostat
by: Hannani, Amirali, et al.
Published: (2024)

The State-Dependent Riccati Equation in Nonlinear Optimal Control: Analysis, Error Estimation and Numerical Approximation
by: Saluzzi, Luca
Published: (2025)

Understanding the PDHG Algorithm via High-Resolution Differential Equations
by: Li, Bowen, et al.
Published: (2024)

Understanding the ADMM Algorithm via High-Resolution Differential Equations
by: Li, Bowen, et al.
Published: (2024)

An Inexact General Descent Method with Applications in Differential Equation-Constrained Optimization
by: Macedo, Humberto Gimenes, et al.
Published: (2025)

Hierarchical Network Partitioning for Solution of Potential-Driven, Steady-State Nonlinear Network Flow Equations
by: Srinivasan, Shriram, et al.
Published: (2024)

Digital Twins: McKean-Pontryagin Control for Partially Observed Physical Twins
by: Opper, Manfred, et al.
Published: (2025)

A Natural Primal-Dual Hybrid Gradient Method for Adversarial Neural Network Training on Solving Partial Differential Equations
by: Liu, Shu, et al.
Published: (2024)

Mean Field Games for Controlling Coherent Structures in Nonlinear Fluid Systems
by: Gao, Yuan, et al.
Published: (2024)

Kernel-Based LMI Approaches to Solving the Hamilton-Jacobi-Bellman Equation and Nonlinear Optimal Control
by: Hamzi, Boumediene, et al.
Published: (2026)

Stochastic Langevin Differential Inclusions with Applications to Machine Learning
by: Difonzo, Fabio V., et al.
Published: (2022)

Operator Splitting, Policy Iteration, and Machine Learning for Stochastic Optimal Control
by: Bensoussan, Alain, et al.
Published: (2026)

Computation and Control of Unstable Steady States for Mean Field Multiagent Systems
by: Bicego, Sara, et al.
Published: (2024)

Primal-Dual algorithms for Abstract convex functions with respect to quadratic functions
by: Bednarczuk, Ewa, et al.
Published: (2026)

Numerical Schemes for 3-Wave Kinetic Equations: A Complete Treatment of the Collision Operator
by: Walton, Steven, et al.
Published: (2024)

Machine Learning and Control: Foundations, Advances, and Perspectives
by: Zuazua, Enrique
Published: (2025)

Modeling AdaGrad, RMSProp, and Adam with Integro-Differential Equations
by: Heredia, Carlos
Published: (2024)

Partial smoothness of the numerical radius at matrices whose fields of values are disks
by: Lewis, Adrian S., et al.
Published: (2018)

A Type II Hamiltonian Variational Principle and Adjoint Systems for Lie Groups
by: Tran, Brian K., et al.
Published: (2023)

Solutions for Underdetermined Generalized Absolute Value Equations
by: Chen, Cairong, et al.
Published: (2024)

Approximation of Algebraic Riccati Equations with Generators of Noncompact Semigroups
by: Cheung, James
Published: (2022)

On the Approximation of Operator-Valued Riccati Equations in Hilbert Spaces
by: Cheung, James
Published: (2023)

Primal-dual algorithm for weakly convex functions under sharpness conditions
by: Bednarczuk, Ewa, et al.
Published: (2024)

From Few-Shot Optimal Control to Few-Shot Learning
by: Chertovskih, Roman, et al.
Published: (2025)

Nonlinear Schwarz preconditioning for nonlinear optimization problems with bound constraints
by: Kothari, Hardik, et al.
Published: (2022)

Inexact Newton Methods for Solving Generalized Equations on Riemannian Manifolds
by: Louzeiro, Mauricio S., et al.
Published: (2023)

On Properties of Adjoint Systems for Evolutionary PDEs
by: Tran, Brian K., et al.
Published: (2024)

Nonlinear preconditioned primal-dual method for a class of structured minimax problems
by: Zhang, Lu, et al.
Published: (2024)

Newton's Method Applied to Nonlinear Boundary Value Problems: A Numerical Approach
by: Freire, Rusdrael Antony de Araújo, et al.
Published: (2024)

Differential estimates for fast first-order multilevel nonconvex optimisation
by: Dizon, Neil, et al.
Published: (2024)

Calculus rules for proximal ε-subdifferentials and inexact proximity operators for weakly convex functions
by: Bednarczuk, Ewa, et al.
Published: (2022)

H-DES: a Quantum-Classical Hybrid Differential Equation Solver
by: Jaffali, Hamza, et al.
Published: (2024)

Proximal Gradient-based Low Rank Tensor Decomposition for State Dependent Riccati Equation
by: Jiang, Jiahua, et al.
Published: (2026)

A Generalized Primal-Dual Correction Method for Saddle-Point Problems with a Nonlinear Coupling Operator
by: Wang, Sai, et al.
Published: (2023)

Preconditioning transformations of adjoint systems for evolution equations
by: Tran, Brian K., et al.
Published: (2025)

Computing cone-constrained singular values of matrices
by: Barbarino, Giovanni, et al.
Published: (2025)