Cover Image

A Single-Loop Bilevel Deep Learning Method for Optimal Control of Obstacle Problems

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Song, Yongcun, Zeng, Shangzhi, Zhang, Jin, Zhang, Lvgang
Format:	Preprint
Published:	2026
Subjects:	Optimization and Control Machine Learning 68T07, 49M41, 65K15, 93-08
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

An Operator Learning Approach to Nonsmooth Optimal Control of Nonlinear PDEs
by: Song, Yongcun, et al.
Published: (2024)

Learning to Control: The iUzawa-Net for Nonsmooth Optimal Control of Linear PDEs
by: Song, Yongcun, et al.
Published: (2026)

The Hard-Constraint PINNs for Interface Optimal Control Problems
by: Lai, Ming-Chih, et al.
Published: (2023)

Variational conditional normalizing flows for computing second-order mean field control problems
by: Zhao, Jiaxi, et al.
Published: (2025)

Separable Approximations of Optimal Value Functions and Their Representation by Neural Networks
by: Sperl, Mario, et al.
Published: (2025)

Prox-PINNs: A Deep Learning Algorithmic Framework for Elliptic Variational Inequalities
by: Gao, Yu, et al.
Published: (2025)

Efficient preconditioners for solving dynamical optimal transport via interior point methods
by: Facca, Enrico, et al.
Published: (2022)

Pontryagin's Principle Based Algorithms for Optimal Control Problems of Parabolic Equation
by: You, Weilong, et al.
Published: (2025)

A modularized algorithmic framework for interface related optimization problems using characteristic functions
by: Wang, Dong, et al.
Published: (2022)

Enforcing Mesh Quality Constraints in Shape Optimization with a Gradient Projection Method
by: Blauth, Sebastian, et al.
Published: (2024)

Finite Codimensionality Method in Infinite-dimensional Optimization Problems
by: Liu, Xu, et al.
Published: (2021)

Second-Order $Λ$-Sets and Extensions to Non-Smooth, Hybrid, and Stochastic Optimal Control
by: Rashid, Mohammad H. M
Published: (2025)

The Pontryagin Maximum Principle for Training Convolutional Neural Networks
by: Hofmann, Sebastian, et al.
Published: (2025)

Fixed-Point Neural Optimal Transport without Implicit Differentiation
by: Park, Yesom, et al.
Published: (2026)

Fractional-Boundary-Regularized Deep Galerkin Method for Variational Inequalities in Mixed Optimal Stopping and Control
by: Zhao, Yun, et al.
Published: (2025)

Markov decision processes with observation costs: framework and computation with a penalty scheme
by: Reisinger, Christoph, et al.
Published: (2022)

Space Mapping for PDE Constrained Shape Optimization
by: Blauth, Sebastian
Published: (2022)

SVD-Preconditioned Gradient Descent Method for Solving Nonlinear Least Squares Problems
by: Chang, Zhipeng, et al.
Published: (2026)

New Error Estimates for An Elliptic Distributed Optimal Control Problem with Pointwise Control Constraints
by: Brenner, Susanne C., et al.
Published: (2024)

Deep Hilbert--Galerkin Methods for Infinite-Dimensional PDEs and Optimal Control
by: Cohen, Samuel N., et al.
Published: (2026)

Adversarial Physics-Informed Machine Learning for Robust Optimal Safe Predefined-Time Stabilization: A Game-Theoretic Approach
by: Kokolakis, Nick-Marios T., et al.
Published: (2025)

OCTANE -- Optimal Control for Tensor-based Autoencoder Network Emergence: Explicit Case
by: Khatri, Ratna, et al.
Published: (2025)

A Primal-Dual Gradient Descent Approach to the Connectivity Constrained Sensor Coverage Problem
by: Agerman, Mathias Bock, et al.
Published: (2025)

A New Error Analysis for Finite Element Methods for Elliptic Neumann Boundary Control Problems with Pointwise Control Constraints
by: Brenner, Susanne C., et al.
Published: (2024)

Average Optimal Control of Uncertain Control-Affine Systems
by: Aronna, M. Soledad, et al.
Published: (2025)

Lyndon Word Transduction to Improve the Efficiency of Computing Chen-Fliess Series
by: Gray, W. Steven, et al.
Published: (2025)

Global Convergence of Adjoint-Optimized Neural PDEs
by: Riedl, Konstantin, et al.
Published: (2025)

Variable Projected Augmented Lagrangian Methods for Generalized Lasso Problems
by: Aleotti, Stefano, et al.
Published: (2025)

Deep Neural ODE Operator Networks for PDEs
by: Li, Ziqian, et al.
Published: (2025)

Optimal control of anisotropic Allen-Cahn equations
by: Blank, Luise, et al.
Published: (2021)

Cancer Detection via Electrical Impedance Tomography and Optimal Control of Elliptic PDEs
by: Abdulla, Ugur G., et al.
Published: (2025)

On the critical time of observability of the multi-dimensional Baouendi-Grushin equation
by: Dardé, Jérémi, et al.
Published: (2026)

Deep Predictor-Corrector Networks for Robust Parameter Estimation in Non-autonomous System with Discontinuous Inputs
by: Gu, Gyeongwan, et al.
Published: (2026)

Numerical Methods for Optimal Boundary Control of Advection-Diffusion-Reaction Systems
by: Schytt, Marcus Johan, et al.
Published: (2024)

Alternating Gradient-Type Algorithm for Bilevel Optimization with Inexact Lower-Level Solutions via Moreau Envelope-based Reformulation
by: Bai, Xiaoning, et al.
Published: (2024)

An optimal boundary control problem related to the time dependent Navier-Stokes equations
by: Guerra, Telma, et al.
Published: (2024)

An adaptive adjoint-oriented neural network for solving parametric optimal control problems with singularities
by: Yuan, Zikang, et al.
Published: (2025)

Probability Density Estimation via Optimal Control
by: Hegland, Markus, et al.
Published: (2025)

A gradient flow approach for combined layout-control design of wave energy parks
by: Gambarini, Marco, et al.
Published: (2024)

Neural Actor-Critic Methods for Hamilton-Jacobi-Bellman PDEs: Asymptotic Analysis and Numerical Studies
by: Cohen, Samuel N., et al.
Published: (2025)