A Neural Network Approach for High-Dimensional Optimal Control

PyTorch implementation for paper: Onken et al. A Neural Network Approach for High-Dimensional Optimal Control

Reinforcement Learning in Robotics Advanced Control Systems Optimization Autonomous Vehicle Technology and Safety Computer Science Mathematics

Paper

References (74)

01Generalized Risk-Sensitive Optimal Control and Hamilton–Jacobi–Bellman EquationJun Moon2021 · IEEE Transactions on Automatic Control · 38 citations

02FaSTrack:A Modular Framework for Real-Time Motion Planning and Guaranteed Safe TrackingMo Chen, Sylvia L. Herbert, Haimin Hu et al.2021 · IEEE Transactions on Automatic Control · 89 citations In Library

03A Neural Network Approach Applied to Multi-Agent Optimal ControlDerek Onken, L. Nurbekyan, Xingjian Li et al.2020 · European Control Conference · 46 citations In Library

04DeepReach: A Deep Learning Approach to High-Dimensional ReachabilitySomil Bansal, C. Tomlin2020 · IEEE International Conference on Robotics and Automation · 268 citations In Library

05A Real-Time Rerouting Method for Drone Flights Under Uncertain Flight TimeSeon Jin Kim, G. Lim2020 · Journal of Intelligent and Robotic Systems · 12 citations

06The Uncertainty of Autonomous Unmanned Aerial Vehicles’ Energy consumptionM. Elsayed, M. Mohamed2020 · IEEE Transportation Electrification Conference and Expo · 9 citations

07OT-Flow: Fast and Accurate Continuous Normalizing Flows via Optimal TransportDerek Onken, Samy Wu Fung, Xingjian Li et al.2020 · AAAI Conference on Artificial Intelligence · 220 citations In Library

08Discretize-Optimize vs. Optimize-Discretize for Time-Series Regression and Continuous Normalizing FlowsDerek Onken, Lars Ruthotto2020 · arXiv.org · 64 citations In Library

09Solving high-dimensional Hamilton–Jacobi–Bellman PDEs using neural networks: perspectives from the theory of controlled diffusions and measures on path spaceN. Nüsken, Lorenz Richter2020 · Partial Differential Equations and Applications · 161 citations In Library

10Solutions for Multiagent Pursuit-Evasion Games on Communication Graphs: Finite-Time Capture and Asymptotic BehaviorsV. Lopez, F. Lewis, Yan Wan et al.2020 · IEEE Transactions on Automatic Control · 155 citations

11Optimal Path Following for Small Fixed-Wing UAVs Under Wind DisturbancesJun Yang, Cunjia Liu, M. Coombes et al.2020 · IEEE Transactions on Control Systems Technology · 70 citations

12Neural-Swarm: Decentralized Close-Proximity Multirotor Control Using Learned InteractionsGuanya Shi, Wolfgang Hönig, Yisong Yue et al.2020 · IEEE International Conference on Robotics and Automation · 79 citations In Library

Scroll for more · 38 remaining

Similar papers

A Neural Network Approach for High-Dimensional Optimal Control Applied to Multiagent Path FindingDerek Onken, Levon Nurbekyan, Xingjian Li et al.2022 · IEEE Transactions on Control Systems Technology In Library

A Neural Network Approach Applied to Multi-Agent Optimal ControlDerek Onken, Levon Nurbekyan, Xingjian Li et al.2021 · 2021 European Control Conference (ECC) In Library

A Neural Network Approach Applied to Multi-Agent Optimal ControlDerek Onken, L. Nurbekyan, Xingjian Li et al.2020 · European Control Conference · 45 citations In Library

A Neural Network Approach for Stochastic Optimal ControlXingjian Li, Deepanshu Verma, Lars Ruthotto2022 · SIAM Journal on Scientific Computing · 31 citations In Library

Neural network approaches for parameterized optimal controlDeepanshu Verma, Nickolas Winovich, Lars Ruthotto et al.2024 · Foundations of Data Science · 13 citations In Library

Optimal control of partial differential equations in PyTorch using automatic differentiation and neural network surrogatesDenis Khimin, Julian Roth, Alexander Henkes et al.2024 · arXiv (Cornell University) · 3 citations In Library

Progressive Optimal Path Sampling for Closed-Loop Optimal Control Design with Deep Neural NetworksXuan Zhang, Jihao Long, Weihua Hu et al.2022 · Journal of Machine Learning · 6 citations In Library

An Initial Condition-Dependent Neural Network Approach for Optimal Control ProblemsMominul Rubel, Gabriel Nicolosi2025 · 1 citation In Library

Optimal Control Theoretic Neural Optimizer: From Backpropagation to Dynamic ProgrammingGuan-Horng Liu, Tianrong Chen, Evangelos Theodorou2025 · IEEE Transactions on Pattern Analysis and Machine Intelligence In Library

Optimal Control Theoretic Neural Optimizer: From Backpropagation to Dynamic ProgrammingGuan-Horng Liu, Tianrong Chen, Evangelos A. Theodorou2025 · IEEE Transactions on Pattern Analysis and Machine Intelligence · 0 citations In Library

Source of record

OpenAlex

44B

Welcome.

This panel sticks with you. Pick anything below and it opens right beside it, so you can dig through 60,000-plus records without ever losing your spot here.

Travel 44B

LibraryPapers, policy, standards, statute LabsEvery organization building AI ModelsIntelligence, price, and speed BenchmarksThe evaluation catalog IncidentsAI failures and harms SearchOne field across everything DashboardThe state of AI accountability in NY 44B RegistryThe Art. 44-B compliance portal