Imagen de Portada

Convergence Guarantees for Neural Network-Based Hamilton-Jacobi Reachability

Fuente: arXiv

Guardado en:

Detalles Bibliográficos
Autor principal:	Hofgard, William
Formato:	Preprint
Publicado:	2024
Materias:	Optimization and Control Numerical Analysis Machine Learning 49L12, 49L25, 49N75, 68T07, 35A35
Acceso en línea:	Acceder al recurso
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

Ejemplares similares

Solving Hamilton-Jacobi equations by minimizing residuals of monotone discretizations
por: Bokanowski, Olivier, et al.
Publicado: (2026)

Hamilton-Jacobi Based Policy-Iteration via Deep Operator Learning
por: Lee, Jae Yong, et al.
Publicado: (2024)

Convergence of the Deep Galerkin Method for Mean Field Control Problems
por: Hofgard, William, et al.
Publicado: (2024)

Minimax solutions of path-dependent Hamilton--Jacobi equations under weakened assumptions with application to differential games
por: Gomoyunov, Mikhail
Publicado: (2026)

Finite-difference least square methods for solving Hamilton-Jacobi equations using neural networks
por: Esteve-Yagüe, Carlos, et al.
Publicado: (2024)

A zero-sum differential game for two opponent masses
por: Bagagiolo, Fabio, et al.
Publicado: (2024)

On the Convergence of the Policy Iteration for Infinite-Horizon Nonlinear Optimal Control Problems
por: Ehring, Tobias, et al.
Publicado: (2025)

Unbounded Hamilton-Jacobi-Bellman Equations with one co-dimensional discontinuities
por: Chasseigne, Emmanuel, et al.
Publicado: (2024)

Policy Iteration for Stationary Discounted Hamilton--Jacobi--Bellman Equations: A Viscosity Approach
por: Cho, Namkyeong, et al.
Publicado: (2026)

Solving nonconvex Hamilton--Jacobi--Isaacs equations with PINN-based policy iteration
por: Yang, Hee Jun, et al.
Publicado: (2025)

A Zero-Sum Differential Game with Exit Time
por: Kolpakova, Ekaterina
Publicado: (2024)

Smooth approximation of feedback laws for infinite horizon control problems with non-smooth value functions
por: Kunisch, Karl, et al.
Publicado: (2023)

Implicit Regularization of Large Neural Networks via Mean-Field Formulation
por: Acciaio, Beatrice, et al.
Publicado: (2026)

A Semi-Lagrangian scheme for Hamilton-Jacobi-Bellman equations with Dirichlet boundary conditions
por: Carlini, Elisabetta, et al.
Publicado: (2025)

Value functional and optimal feedback control in linear-quadratic optimal control problem for fractional-order system
por: Gomoyunov, Mikhail I.
Publicado: (2022)

Convergence of machine learning methods for feedback control laws: averaged feedback learning scheme and data driven methods
por: Kunisch, Karl, et al.
Publicado: (2024)

Sensitivity analysis of value functional of fractional optimal control problem with application to construction of optimal feedback control
por: Gomoyunov, Mikhail
Publicado: (2022)

A CWENO large time-step scheme for Hamilton--Jacobi equations
por: Carlini, E., et al.
Publicado: (2024)

Stochastic Optimal Control with Measurable Coefficients and Applications
por: de Feo, Filippo
Publicado: (2025)

Finite Dimensional Projections of HJB Equations in the Wasserstein Space
por: Święch, Andrzej, et al.
Publicado: (2024)

Convergence Rates of Time Discretization in Extended Mean Field Control
por: Reisinger, Christoph, et al.
Publicado: (2025)

Dynamic Programming Principle and Hamilton-Jacobi-Bellman Equation for Optimal Control Problems with Uncertainty
por: Aronna, M. Soledad, et al.
Publicado: (2024)

Linear-Quadratic Mean Field Control with Non-Convex Data
por: Li, Mengzhen, et al.
Publicado: (2023)

An Eikonal Approach for Globally Optimal Free Flight Trajectories
por: Borndörfer, Ralf, et al.
Publicado: (2026)

Optimal control of stochastic delay differential equations: Optimal feedback controls
por: de Feo, Filippo, et al.
Publicado: (2023)

Stabilized neural Hamilton--Jacobi--Bellman solvers: Error analysis and applications in model-based reinforcement learning
por: Kim, Minseok, et al.
Publicado: (2026)

Stochastic optimal control in Hilbert spaces: $C^{1,1}$ regularity of the value function and optimal synthesis via viscosity solutions
por: de Feo, Filippo, et al.
Publicado: (2023)

Convergent Operator-Splitting Scheme for Viscosity Solutions: A Foundation for Learning Domain-to-Solution Maps
por: Wu, Po-Yi
Publicado: (2025)

Path-dependent Hamilton-Jacobi equations with u-dependence and time-measurable Hamiltonians
por: Bandini, Elena, et al.
Publicado: (2024)

Recovery of the optimal control value function in reproducing kernel Hilbert spaces from verification conditions
por: Ehring, Tobias, et al.
Publicado: (2025)

Viscosity Solutions of the Eikonal Equation on the Wasserstein Space
por: Soner, H. Mete, et al.
Publicado: (2023)

Representation results and error estimates for differential games with applications using neural networks
por: Bokanowski, Olivier, et al.
Publicado: (2024)

Physics-Informed Neural Networks for Optimal Vaccination Plan in SIR Epidemic Models
por: Kim, Minseok, et al.
Publicado: (2025)

A Hamilton-Jacobi-Bellman Approach to Ellipsoidal Approximations of Reachable Sets for Linear Time-Varying Systems
por: Liu, Vincent, et al.
Publicado: (2024)

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

First-Order Convergence of Monotone Schemes for Hamilton--Jacobi Equations on the Wasserstein Space on Graphs
por: Cui, Jianbo, et al.
Publicado: (2026)

Zero-Sum Games for Volterra Integral Equations and Viscosity Solutions of Path-Dependent Hamilton-Jacobi Equations
por: Gomoyunov, Mikhail I.
Publicado: (2024)

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

Deterministic Mean Field Games on Networks and Related Optimal Control Problems
por: Achdou, Yves, et al.
Publicado: (2025)

A Policy Iteration Method for Inverse Mean Field Games
por: Ren, Kui, et al.
Publicado: (2024)