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Robust reinforcement learning (Robust RL) seeks to handle epistemic uncertainty in environment dynamics, but existing approaches often rely on nested min--max optimization, which is computationally expensive and yields overly conservative…

机器学习 · 计算机科学 2025-10-15 Chenliang Li , Junyu Leng , Jiaxiang Li , Youbang Sun , Shixiang Chen , Shahin Shahrampour , Alfredo Garcia

This paper presents a hierarchical federated learning (FL) framework that extends the alternating direction method of multipliers (ADMM) with smoothing techniques, tailored for non-convex and non-smooth objectives. Unlike traditional…

机器学习 · 计算机科学 2025-03-13 Reza Mirzaeifard , Stefan Werner

We develop a novel framework to study smooth and strongly convex optimization algorithms, both deterministic and stochastic. Focusing on quadratic functions we are able to examine optimization algorithms as a recursive application of linear…

最优化与控制 · 数学 2015-03-25 Yossi Arjevani , Shai Shalev-Shwartz , Ohad Shamir

In systems in which control authority is shared by an autonomous controller and a human operator, it is important to find solutions that achieve a desirable system performance with a reasonable workload for the human operator. We formulate…

机器人学 · 计算机科学 2014-12-19 Jie Fu , Ufuk Topcu

This paper proposes a novel technique called "successive stochastic smoothing" that optimizes nonsmooth and discontinuous functions while considering various constraints. Our methodology enables local and global optimization, making it a…

最优化与控制 · 数学 2023-08-17 Vladimir Norkin , Alois Pichler , Anton Kozyriev

Nonconvex-nonconcave minimax optimization has gained widespread interest over the last decade. However, most existing works focus on variants of gradient descent-ascent (GDA) algorithms, which are only applicable to smooth nonconvex-concave…

最优化与控制 · 数学 2025-01-17 Jiajin Li , Linglingzhi Zhu , Anthony Man-Cho So

It is known that adaptive optimization algorithms represent the key pillar behind the rise of the Machine Learning field. In the Optimization literature numerous studies have been devoted to accelerated gradient methods but only recently…

最优化与控制 · 数学 2024-02-02 Cristian Daniel Alecsa

Nonlinear control systems with partial information to the decision maker are prevalent in a variety of applications. As a step toward studying such nonlinear systems, this work explores reinforcement learning methods for finding the optimal…

机器学习 · 计算机科学 2025-04-11 Yinbin Han , Meisam Razaviyayn , Renyuan Xu

When a robot autonomously performs a complex task, it frequently must balance competing objectives while maintaining safety. This becomes more difficult in uncertain environments with stochastic outcomes. Enhancing transparency in the…

机器人学 · 计算机科学 2024-06-19 Peter Amorese , Shohei Wakayama , Nisar Ahmed , Morteza Lahijanian

In many multi-objective reinforcement learning (MORL) applications, being able to systematically explore the Pareto-stationary solutions under multiple non-convex reward objectives with theoretical finite-time sample complexity guarantee is…

机器学习 · 计算机科学 2025-07-30 Fnu Hairi , Jiao Yang , Tianchen Zhou , Haibo Yang , Chaosheng Dong , Fan Yang , Michinari Momma , Yan Gao , Jia Liu

Despite remarkable achievements in artificial intelligence, the deployability of learning-enabled systems in high-stakes real-world environments still faces persistent challenges. For example, in safety-critical domains like autonomous…

人工智能 · 计算机科学 2023-12-19 Minjae Cho , Chuangchuang Sun

Modern engineering systems, such as autonomous vehicles, flexible robotics, and intelligent aerospace platforms, require controllers that are robust to uncertainties, adaptive to environmental changes, and safety-aware under real-time…

机器人学 · 计算机科学 2025-12-16 Patrick Kostelac , Xuerui Wang , Anahita Jamshidnejad

We develop new adaptive algorithms for variational inequalities with monotone operators, which capture many problems of interest, notably convex optimization and convex-concave saddle point problems. Our algorithms automatically adapt to…

机器学习 · 计算机科学 2021-08-30 Alina Ene , Huy L. Nguyen

This paper targets control problems that exhibit specific safety and performance requirements. In particular, the aim is to ensure that an agent, operating under uncertainty, will at runtime strictly adhere to such requirements. Previous…

计算机科学中的逻辑 · 计算机科学 2020-10-09 Stefan Pranger , Bettina Könighofer , Martin Tappler , Martin Deixelberger , Nils Jansen , Roderick Bloem

Optimization algorithms for solving nonconvex inverse problem have attracted significant interests recently. However, existing methods require the nonconvex regularization to be smooth or simple to ensure convergence. In this paper, we…

计算机视觉与模式识别 · 计算机科学 2020-03-26 Qingchao Zhang , Xiaojing Ye , Hongcheng Liu , Yunmei Chen

Training deep reinforcement learning (RL) agents necessitates overcoming the highly unstable nonconvex stochastic optimization inherent in the trial-and-error mechanism. To tackle this challenge, we propose a physics-inspired optimization…

机器学习 · 计算机科学 2024-12-10 Yao Lyu , Xiangteng Zhang , Shengbo Eben Li , Jingliang Duan , Letian Tao , Qing Xu , Lei He , Keqiang Li

The problem of searching for an unknown object occurs in important applications ranging from security, medicine and defense. Sensors with the capability to process information rapidly require adaptive algorithms to control their search in…

信息论 · 计算机科学 2015-08-18 Huanyu Ding , David A. Castañón

Adaptive optimizers can reduce to normalized steepest descent (NSD) when only adapting to the current gradient, suggesting a close connection between the two algorithmic families. A key distinction between their analyses, however, lies in…

机器学习 · 计算机科学 2025-11-26 Shuo Xie , Tianhao Wang , Beining Wu , Zhiyuan Li

The problem of uncertainty is a feature of real world robotics problems and any control framework must contend with it in order to succeed in real applications tasks. Reinforcement Learning is no different, and epistemic uncertainty arising…

机器人学 · 计算机科学 2024-10-08 Wendyam Eric Lionel Ilboudo , Taisuke Kobayashi , Takamitsu Matsubara

This article introduces a decentralized robust optimization framework for safe multi-agent control under uncertainty. Although stochastic noise has been the primary form of modeling uncertainty in such systems, these formulations might fall…

最优化与控制 · 数学 2025-08-19 Arshiya Taj Abdul , Augustinos D. Saravanos , Evangelos A. Theodorou