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We propose a partial differential-integral equation (PDE) framework for deep neural networks (DNNs) and their associated learning problem by taking the continuum limits of both network width and depth. The proposed model captures the…

Optimization and Control · Mathematics 2024-11-12 Peter Markowich , Simone Portaro

We present a Reinforcement Learning (RL) based framework for optimizing long-term discounted reward problems with large combinatorial action space and state dependent constraints. These characteristics are common to many operations…

Machine Learning · Computer Science 2025-01-09 Pavithra Harsha , Ashish Jagmohan , Jayant Kalagnanam , Brian Quanz , Divya Singhvi

Robust and performant controllers are essential for industrial applications. However, deriving controller parameters for complex and nonlinear systems is challenging and time-consuming. To facilitate automatic controller parametrization,…

Machine Learning · Computer Science 2024-01-11 Thomas Rudolf , Daniel Flögel , Tobias Schürmann , Simon Süß , Stefan Schwab , Sören Hohmann

Deep Reinforcement Learning (DRL) offers a powerful approach to training neural network control policies for stochastic queuing networks (SQN). However, traditional DRL methods rely on offline simulations or static datasets, limiting their…

Artificial Intelligence · Computer Science 2024-04-08 Jerrod Wigmore , Brooke Shrader , Eytan Modiano

Deep Reinforcement Learning (DRL) methods often rely on the meticulous tuning of hyperparameters to successfully resolve problems. One of the most influential parameters in optimization procedures based on stochastic gradient descent (SGD)…

Machine Learning · Computer Science 2020-08-05 Ralf Gulde , Marc Tuscher , Akos Csiszar , Oliver Riedel , Alexander Verl

In modern robotics, effectively computing optimal control policies under dynamically varying environments poses substantial challenges to the off-the-shelf parametric policy gradient methods, such as the Deep Deterministic Policy Gradient…

Robotics · Computer Science 2022-03-29 Apan Dastider , Mingjie Lin

This research gauges the ability of deep reinforcement learning (DRL) techniques to assist the control of conjugate heat transfer systems governed by the coupled Navier--Stokes and heat equations. It uses a novel, "degenerate" version of…

Fluid Dynamics · Physics 2021-03-25 Elie Hachem , Hassan Ghraieb , Jonathan Viquerat , Aurélien Larcher , Philippe Meliga

Many problems in science and engineering can be represented by a set of partial differential equations (PDEs) through mathematical modeling. Mechanism-based computation following PDEs has long been an essential paradigm for studying topics…

Machine Learning · Computer Science 2022-11-21 Shudong Huang , Wentao Feng , Chenwei Tang , Jiancheng Lv

Connected and Automated Hybrid Electric Vehicles have the potential to reduce fuel consumption and travel time in real-world driving conditions. The eco-driving problem seeks to design optimal speed and power usage profiles based upon…

Machine Learning · Computer Science 2022-02-01 Zhaoxuan Zhu , Nicola Pivaro , Shobhit Gupta , Abhishek Gupta , Marcello Canova

Deep reinforcement learning (DRL) has shown significant promise for uncovering sophisticated control policies that interact in complex environments, such as stabilizing a tokamak fusion reactor or minimizing the drag force on an object in a…

Machine Learning · Computer Science 2025-08-26 Nicholas Zolman , Christian Lagemann , Urban Fasel , J. Nathan Kutz , Steven L. Brunton

Real-time path planning in constrained environments remains a fundamental challenge for autonomous systems. Traditional classical planners, while effective under perfect perception assumptions, are often sensitive to real-world perception…

Robotics · Computer Science 2026-02-02 Feng Tao , Luca Paparusso , Chenyi Gu , Robin Koehler , Chenxu Wu , Xinyu Huang , Christian Juette , David Paz , Ren Liu

We study the sparse entropy-regularized reinforcement learning (ERL) problem in which the entropy term is a special form of the Tsallis entropy. The optimal policy of this formulation is sparse, i.e.,~at each state, it has non-zero…

Artificial Intelligence · Computer Science 2018-02-13 Ofir Nachum , Yinlam Chow , Mohammad Ghavamzadeh

This paper proposes a deep learning-based optimal battery management scheme for frequency regulation (FR) by integrating model predictive control (MPC), supervised learning (SL), reinforcement learning (RL), and high-fidelity battery…

Systems and Control · Electrical Eng. & Systems 2022-01-05 Yun Li , Yixiu Wang , Yifu Chen , Kaixun Hua , Jiayang Ren , Ghazaleh Mozafari , Qiugang Lu , Yankai Cao

A variety of autonomous navigation algorithms exist that allow robots to move around in a safe and fast manner. However, many of these algorithms require parameter re-tuning when facing new environments. In this paper, we propose PTDRL, a…

Robotics · Computer Science 2023-06-21 Elias Goldsztejn , Tal Feiner , Ronen Brafman

Data-driven methods have recently made great progress in the discovery of partial differential equations (PDEs) from spatial-temporal data. However, several challenges remain to be solved, including sparse noisy data, incomplete candidate…

Computational Physics · Physics 2021-09-28 Hao Xu , Dongxiao Zhang , Junsheng Zeng

In recent years, Artificial Neural Networks (ANNs) and Deep Learning have become increasingly popular across a wide range of scientific and technical fields, including Fluid Mechanics. While it will take time to fully grasp the…

Fluid Dynamics · Physics 2020-01-09 Jean Rabault , Feng Ren , Wei Zhang , Hui Tang , Hui Xu

Lane-change maneuvers are commonly executed by drivers to follow a certain routing plan, overtake a slower vehicle, adapt to a merging lane ahead, etc. However, improper lane change behaviors can be a major cause of traffic flow disruptions…

Machine Learning · Computer Science 2020-05-22 Fei Ye , Xuxin Cheng , Pin Wang , Ching-Yao Chan , Jiucai Zhang

Many computer vision and image processing problems can be posed as solving partial differential equations (PDEs). However, designing PDE system usually requires high mathematical skills and good insight into the problems. In this paper, we…

Computer Vision and Pattern Recognition · Computer Science 2011-09-07 Risheng Liu , Zhouchen Lin , Wei Zhang , Kewei Tang , Zhixun Su

Autonomous racing without prebuilt maps is a grand challenge for embedded robotics that requires kinodynamic planning from instantaneous sensor data at the acceleration and tire friction limits. Out-Of-Distribution (OOD) generalization to…

In this paper, a deep reinforcement learning (DRL) method is proposed to address the problem of UAV navigation in an unknown environment. However, DRL algorithms are limited by the data efficiency problem as they typically require a huge…

Robotics · Computer Science 2020-08-07 Lei He , Nabil Aouf , James F. Whidborne , Bifeng Song