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We study the problem of learning to predict the next state of a dynamical system when the underlying evolution function is unknown. Unlike previous work, we place no parametric assumptions on the dynamical system, and study the problem from…

机器学习 · 计算机科学 2025-06-04 Vinod Raman , Unique Subedi , Ambuj Tewari

Universal online learning aims to achieve optimal regret guarantees without requiring prior knowledge of the curvature of online functions. Existing methods have established minimax-optimal regret bounds for universal online learning, where…

机器学习 · 计算机科学 2025-11-26 Peng Zhao , Yu-Hu Yan , Hang Yu , Zhi-Hua Zhou

We consider an online two-stage stochastic optimization with long-term constraints over a finite horizon of $T$ periods. At each period, we take the first-stage action, observe a model parameter realization and then take the second-stage…

机器学习 · 计算机科学 2024-05-21 Jiashuo Jiang

This paper addresses an online convex optimization problem where the cost function at each step depends on a history of past decisions (i.e., memory), and the decision maker has access to limited predictions of future cost values within a…

最优化与控制 · 数学 2025-12-29 Zhengmiao Wang , Zhi-Wei Liu , Ming Chi , Xiaoling Wang , Housheng Su , Lintao Ye

In this paper, we revisit the problem of smoothed online learning, in which the online learner suffers both a hitting cost and a switching cost, and target two performance metrics: competitive ratio and dynamic regret with switching cost.…

机器学习 · 计算机科学 2021-05-19 Lijun Zhang , Wei Jiang , Shiyin Lu , Tianbao Yang

We study the classical Network Revenue Management (NRM) problem with accept/reject decisions and $T$ IID arrivals. We consider a distributional form where each arrival must fall under a finite number of possible categories, each with a…

机器学习 · 计算机科学 2025-01-03 Jiashuo Jiang , Will Ma , Jiawei Zhang

The Matrix Multiplicative Weight Update (MMWU) is a seminal online learning algorithm with numerous applications. Applied to the matrix version of the Learning from Expert Advice (LEA) problem on the $d$-dimensional spectraplex, it is well…

机器学习 · 计算机科学 2025-09-12 Weiyuan Gong , Tongyang Li , Xinzhao Wang , Zhiyu Zhang

We present a new algorithm based on posterior sampling for learning in Constrained Markov Decision Processes (CMDP) in the infinite-horizon undiscounted setting. The algorithm achieves near-optimal regret bounds while being advantageous…

机器学习 · 计算机科学 2024-05-30 Danil Provodin , Maurits Kaptein , Mykola Pechenizkiy

We consider model selection for sequential decision making in stochastic environments with bandit feedback, where a meta-learner has at its disposal a pool of base learners, and decides on the fly which action to take based on the policies…

机器学习 · 计算机科学 2024-01-24 Aldo Pacchiano , Christoph Dann , Claudio Gentile

We study the Stochastic Shortest Path (SSP) problem with a linear mixture transition kernel, where an agent repeatedly interacts with a stochastic environment and seeks to reach certain goal state while minimizing the cumulative cost.…

机器学习 · 计算机科学 2024-02-15 Qiwei Di , Jiafan He , Dongruo Zhou , Quanquan Gu

Context: Evolutionary algorithms typically require a large number of evaluations (of solutions) to converge - which can be very slow and expensive to evaluate.Objective: To solve search-based software engineering (SE) problems, using fewer…

软件工程 · 计算机科学 2017-09-19 Jianfeng Chen , Vivek Nair , Tim Menzies

In general, a multi-objective optimization problem does not have a single optimal solution but a set of Pareto optimal solutions, which forms the Pareto front in the objective space. Various evolutionary algorithms have been proposed to…

神经与进化计算 · 计算机科学 2020-06-16 Hisao Ishibuchi , Lie Meng Pang , Ke Shang

We address online combinatorial optimization when the player has a prior over the adversary's sequence of losses. In this framework, Russo and Van Roy proposed an information-theoretic analysis of Thompson Sampling based on the information…

机器学习 · 计算机科学 2022-04-05 Sébastien Bubeck , Mark Sellke

Recent works showed that simple success-based rules for self-adjusting parameters in evolutionary algorithms (EAs) can match or outperform the best fixed parameters on discrete problems. Non-elitism in a (1,$\lambda$) EA combined with a…

神经与进化计算 · 计算机科学 2022-04-13 Mario Alejandro Hevia Fajardo , Dirk Sudholt

The expected regret of any reinforcement learning algorithm is lower bounded by $\Omega\left(\sqrt{DXAT}\right)$ for undiscounted returns, where $D$ is the diameter of the Markov decision process, $X$ the size of the state space, $A$ the…

机器学习 · 计算机科学 2024-06-10 Lucas Weber , Ana Bušić , Jiamin Zhu

Stochastic linear bandits are a fundamental model for sequential decision making, where an agent selects a vector-valued action and receives a noisy reward with expected value given by an unknown linear function. Although well studied in…

机器学习 · 计算机科学 2025-06-23 Bruce Huang , Ruida Zhou , Lin F. Yang , Suhas Diggavi

Under constant selection, each trait has a fixed fitness, and small mutation rates allow populations to efficiently exploit the optimal trait. Therefore it is reasonable to expect mutation rates will evolve downwards. However, we find this…

种群与进化 · 定量生物学 2022-08-23 Brian Mintz , Feng Fu

We study a variant of decision-theoretic online learning in which the set of experts that are available to Learner can shrink over time. This is a restricted version of the well-studied sleeping experts problem, itself a generalization of…

机器学习 · 计算机科学 2019-10-31 Hamid Shayestehmanesh , Sajjad Azami , Nishant A. Mehta

The literature on bandit learning and regret analysis has focused on contexts where the goal is to converge on an optimal action in a manner that limits exploration costs. One shortcoming imposed by this orientation is that it does not…

机器学习 · 计算机科学 2017-05-01 Daniel Russo , David Tse , Benjamin Van Roy

We present an algorithm based on the \emph{Optimism in the Face of Uncertainty} (OFU) principle which is able to learn Reinforcement Learning (RL) modeled by Markov decision process (MDP) with finite state-action space efficiently. By…

机器学习 · 计算机科学 2020-01-01 Zihan Zhang , Xiangyang Ji