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During initial iterations of training in most Reinforcement Learning (RL) algorithms, agents perform a significant number of random exploratory steps. In the real world, this can limit the practicality of these algorithms as it can lead to…

Machine Learning · Computer Science 2022-10-17 Ashish Kumar Jayant , Shalabh Bhatnagar

In this work, we consider strongly convex strongly concave (SCSC) saddle point (SP) problems $\min_{x\in\mathbb{R}^{d_x}}\max_{y\in\mathbb{R}^{d_y}}f(x,y)$ where $f$ is $L$-smooth, $f(.,y)$ is $\mu$-strongly convex for every $y$, and…

Optimization and Control · Mathematics 2022-02-22 Bugra Can , Mert Gurbuzbalaban , Necdet Serhat Aybat

Reinforcement learning (RL) has been successfully applied to a variety of robotics applications, where it outperforms classical methods. However, the safety aspect of RL and the transfer to the real world remain an open challenge. A…

Robotics · Computer Science 2025-04-21 Murad Dawood , Ahmed Shokry , Maren Bennewitz

With the increasing penetration of distributed energy resources, distributed optimization algorithms have attracted significant attention for power systems applications due to their potential for superior scalability, privacy, and…

Systems and Control · Electrical Eng. & Systems 2022-05-09 Sihan Zeng , Alyssa Kody , Youngdae Kim , Kibaek Kim , Daniel K. Molzahn

Autonomous agents must often deal with conflicting requirements, such as completing tasks using the least amount of time/energy, learning multiple tasks, or dealing with multiple opponents. In the context of reinforcement learning~(RL),…

Machine Learning · Computer Science 2019-10-30 Santiago Paternain , Luiz F. O. Chamon , Miguel Calvo-Fullana , Alejandro Ribeiro

Safe reinforcement learning (Safe RL) refers to a class of techniques that aim to prevent RL algorithms from violating constraints in the process of decision-making and exploration during trial and error. In this paper, a novel model-free…

Systems and Control · Electrical Eng. & Systems 2024-08-14 Homayoun Honari , Mehran Ghafarian Tamizi , Homayoun Najjaran

The Primal-Dual (PD) algorithm is widely used in convex optimization to determine saddle points. While the stability of the PD algorithm can be easily guaranteed, strict contraction is nontrivial to establish in most cases. This work…

Optimization and Control · Mathematics 2018-11-21 Hung D. Nguyen , Thanh Long Vu , Konstantin Turitsyn , Jean-Jacques Slotine

We consider strongly-convex-strongly-concave saddle point problems assuming we have access to unbiased stochastic estimates of the gradients. We propose a stochastic accelerated primal-dual (SAPD) algorithm and show that SAPD sequence,…

Optimization and Control · Mathematics 2024-09-04 Xuan Zhang , Necdet Serhat Aybat , Mert Gürbüzbalaban

Among the reasons hindering reinforcement learning (RL) applications to real-world problems, two factors are critical: limited data and the mismatch between the testing environment (real environment in which the policy is deployed) and the…

Machine Learning · Computer Science 2023-01-30 Xiaoteng Ma , Zhipeng Liang , Jose Blanchet , Mingwen Liu , Li Xia , Jiheng Zhang , Qianchuan Zhao , Zhengyuan Zhou

We study a Federated Reinforcement Learning (FedRL) problem with constraint heterogeneity. In our setting, we aim to solve a reinforcement learning problem with multiple constraints while $N$ training agents are located in $N$ different…

Machine Learning · Computer Science 2024-05-07 Hao Jin , Liangyu Zhang , Zhihua Zhang

Recent advances in reinforcement learning (RL) enable its use on increasingly complex tasks, but the lack of formal safety guarantees still limits its application in safety-critical settings. A common practical approach is to augment the RL…

Machine Learning · Computer Science 2026-02-12 Donggeon David Oh , Duy P. Nguyen , Haimin Hu , Jaime F. Fisac

Trajectory optimization is an efficient approach for solving optimal control problems for complex robotic systems. It relies on two key components: first the transcription into a sparse nonlinear program, and second the corresponding solver…

Robotics · Computer Science 2022-10-31 Wilson Jallet , Antoine Bambade , Nicolas Mansard , Justin Carpentier

Safe Reinforcement Learning (Safe RL) is one of the prevalently studied subcategories of trial-and-error-based methods with the intention to be deployed on real-world systems. In safe RL, the goal is to maximize reward performance while…

Machine Learning · Computer Science 2024-08-16 Homayoun Honari , Amir Mehdi Soufi Enayati , Mehran Ghafarian Tamizi , Homayoun Najjaran

The deployment of autonomous robots in safety-critical applications requires safety guarantees. Provably safe reinforcement learning is an active field of research that aims to provide such guarantees using safeguards. These safeguards…

Machine Learning · Computer Science 2026-05-08 Tim Walter , Hannah Markgraf , Jonathan Külz , Matthias Althoff

Primal-dual gradient dynamics that find saddle points of a Lagrangian have been widely employed for handling constrained optimization problems. Building on existing methods, we extend the augmented primal-dual gradient dynamics (Aug-PDGD)…

Optimization and Control · Mathematics 2020-11-19 Yujie Tang , Guannan Qu , Na Li

Although Long Reasoning Models (LRMs) have achieved superior performance on various reasoning scenarios, they often suffer from increased computational costs and inference latency caused by overthinking. To address these limitations, we…

Artificial Intelligence · Computer Science 2025-10-15 Yujian Zhang , Keyu Chen , Zhifeng Shen , Ruizhi Qiao , Xing Sun

Enforcing state and input constraints during reinforcement learning (RL) in continuous state spaces is an open but crucial problem which remains a roadblock to using RL in safety-critical applications. This paper leverages invariant sets to…

Systems and Control · Electrical Eng. & Systems 2019-06-28 Ankush Chakrabarty , Rien Quirynen , Claus Danielson , Weinan Gao

Reinforcement Learning (RL) has achieved remarkable success in sequential decision tasks. However, recent studies have revealed the vulnerability of RL policies to different perturbations, raising concerns about their effectiveness and…

Machine Learning · Computer Science 2025-07-08 Buqing Nie , Yangqing Fu , Jingtian Ji , Yue Gao

Adaptive stochastic gradient methods such as AdaGrad have gained popularity in particular for training deep neural networks. The most commonly used and studied variant maintains a diagonal matrix approximation to second order information by…

We consider the safe reinforcement learning (RL) problem of maximizing utility with extremely low constraint violation rates. Assuming no prior knowledge or pre-training of the environment safety model given a task, an agent has to learn,…

Machine Learning · Computer Science 2022-10-12 Haonan Yu , Wei Xu , Haichao Zhang
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