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This paper studies online nonstochastic control problems with adversarial and static constraints. We propose online nonstochastic control algorithms that achieve both sublinear regret and sublinear adversarial constraint violation while…

机器学习 · 计算机科学 2023-02-07 Xin Liu , Zixian Yang , Lei Ying

When deploying autonomous agents in unstructured environments over sustained periods of time, adaptability and robustness oftentimes outweigh optimality as a primary consideration. In other words, safety and survivability constraints play a…

系统与控制 · 电气工程与系统科学 2021-04-08 Motoya Ohnishi , Gennaro Notomista , Masashi Sugiyama , Magnus Egerstedt

We consider a family of learning strategies for online optimization problems that evolve in continuous time and we show that they lead to no regret. From a more traditional, discrete-time viewpoint, this continuous-time approach allows us…

最优化与控制 · 数学 2014-02-28 Joon Kwon , Panayotis Mertikopoulos

Solving non-convex, NP-hard optimization problems is crucial for training machine learning models, including neural networks. However, non-convexity often leads to black-box machine learning models with unclear inner workings. While convex…

机器学习 · 计算机科学 2025-03-18 Karthik Prakhya , Tolga Birdal , Alp Yurtsever

Safe reinforcement learning (RL) studies problems where an intelligent agent has to not only maximize reward but also avoid exploring unsafe areas. In this study, we propose CUP, a novel policy optimization method based on Constrained…

机器学习 · 计算机科学 2022-11-10 Long Yang , Jiaming Ji , Juntao Dai , Linrui Zhang , Binbin Zhou , Pengfei Li , Yaodong Yang , Gang Pan

We propose an algorithm for tabular episodic reinforcement learning with constraints. We provide a modular analysis with strong theoretical guarantees for settings with concave rewards and convex constraints, and for settings with hard…

In this paper, we propose to combine imitation and reinforcement learning via the idea of reward shaping using an oracle. We study the effectiveness of the near-optimal cost-to-go oracle on the planning horizon and demonstrate that the…

机器学习 · 计算机科学 2018-05-30 Wen Sun , J. Andrew Bagnell , Byron Boots

We study fine-grained gap-dependent regret bounds for model-free reinforcement learning in episodic tabular Markov Decision Processes. Existing model-free algorithms achieve minimax worst-case regret, but their gap-dependent bounds remain…

机器学习 · 统计学 2025-10-09 Haochen Zhang , Zhong Zheng , Lingzhou Xue

Some of the most compelling applications of online convex optimization, including online prediction and classification, are unconstrained: the natural feasible set is R^n. Existing algorithms fail to achieve sub-linear regret in this…

机器学习 · 计算机科学 2012-11-13 Matthew Streeter , H. Brendan McMahan

We revisit the challenge of designing online algorithms for the bandit convex optimization problem (BCO) which are also scalable to high dimensional problems. Hence, we consider algorithms that are \textit{projection-free}, i.e., based on…

机器学习 · 计算机科学 2019-10-09 Dan Garber , Ben Kretzu

Recently, model-free reinforcement learning has attracted research attention due to its simplicity, memory and computation efficiency, and the flexibility to combine with function approximation. In this paper, we propose Exploration…

机器学习 · 计算机科学 2020-12-10 Mehdi Jafarnia-Jahromi , Chen-Yu Wei , Rahul Jain , Haipeng Luo

In this paper, we develop a novel virtual-queue-based online algorithm for online convex optimization (OCO) problems with long-term and time-varying constraints and conduct a performance analysis with respect to the dynamic regret and…

最优化与控制 · 数学 2021-11-16 Qingsong Liu , Wenfei Wu , Longbo Huang , Zhixuan Fang

We propose an automata-theoretic approach for reinforcement learning (RL) under complex spatio-temporal constraints with time windows. The problem is formulated using a Markov decision process under a bounded temporal logic constraint.…

人工智能 · 计算机科学 2023-08-01 Xiaoshan Lin , Abbasali Koochakzadeh , Yasin Yazicioglu , Derya Aksaray

In this work we provide provable regret guarantees for an online meta-learning control algorithm in an iterative control setting, where in each iteration the system to be controlled is a linear deterministic system that is different and…

机器学习 · 计算机科学 2022-02-07 Deepan Muthirayan , Pramod Khargonekar

We study online learning problems in which a decision maker has to take a sequence of decisions subject to $m$ long-term constraints. The goal of the decision maker is to maximize their total reward, while at the same time achieving small…

机器学习 · 计算机科学 2022-09-16 Matteo Castiglioni , Andrea Celli , Alberto Marchesi , Giulia Romano , Nicola Gatti

We initiate the study of dynamic regret minimization for goal-oriented reinforcement learning modeled by a non-stationary stochastic shortest path problem with changing cost and transition functions. We start by establishing a lower bound…

机器学习 · 计算机科学 2022-05-27 Liyu Chen , Haipeng Luo

The classical theory of reinforcement learning (RL) has focused on tabular and linear representations of value functions. Further progress hinges on combining RL with modern function approximators such as kernel functions and deep neural…

机器学习 · 计算机科学 2021-01-01 Zhuoran Yang , Chi Jin , Zhaoran Wang , Mengdi Wang , Michael I. Jordan

Reward shaping has been applied widely to accelerate Reinforcement Learning (RL) agents' training. However, a principled way of designing effective reward shaping functions, especially for complex continuous control problems, remains…

机器学习 · 计算机科学 2026-02-12 Mateo Juliani , Mingxuan Li , Elias Bareinboim

We propose a model-free reinforcement learning algorithm inspired by the popular randomized least squares value iteration (RLSVI) algorithm as well as the optimism principle. Unlike existing upper-confidence-bound (UCB) based approaches,…

机器学习 · 计算机科学 2021-10-27 Haque Ishfaq , Qiwen Cui , Viet Nguyen , Alex Ayoub , Zhuoran Yang , Zhaoran Wang , Doina Precup , Lin F. Yang

Motivated by multi-task and meta-learning approaches, we consider the problem of learning structure shared by tasks or users, such as shared low-rank representations or clustered structures. While all previous works focus on well-specified…

机器学习 · 计算机科学 2025-02-14 Mathieu Even , Laurent Massoulié