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We investigate the strategic surplus obtainable against a Follow-the-Regularized-Leader (FTRL) learner with constant step size $\eta$ in $n\times m$ two-player zero-sum games played over $T$ rounds against a clairvoyant optimizer. In…

计算机科学与博弈论 · 计算机科学 2026-05-25 Yiheng Su , Emmanouil-Vasileios Vlatakis-Gkaragkounis

In the convex optimization approach to online regret minimization, many methods have been developed to guarantee a $O(\sqrt{T})$ bound on regret for subdifferentiable convex loss functions with bounded subgradients, by using a reduction to…

机器学习 · 计算机科学 2016-09-20 Arthur Flajolet , Patrick Jaillet

The online meta-learning framework has arisen as a powerful tool for the continual lifelong learning setting. The goal for an agent is to quickly learn new tasks by drawing on prior experience, while it faces with tasks one after another.…

机器学习 · 计算机科学 2021-09-30 Parvin Nazari , Esmaile Khorram

This paper considers distributed online optimization with time-varying coupled inequality constraints. The global objective function is composed of local convex cost and regularization functions and the coupled constraint function is the…

最优化与控制 · 数学 2019-06-06 Xinlei Yi , Xiuxian Li , Lihua Xie , Karl H. Johansson

Online learning of deep neural networks suffers from challenges such as hysteretic non-incremental updating, increasing memory usage, past retrospective retraining, and catastrophic forgetting. To alleviate these drawbacks and achieve…

机器学习 · 计算机科学 2024-12-18 Junda Wang , Minghui Hu , Ning Li , Abdulaziz Al-Ali , Ponnuthurai Nagaratnam Suganthan

In online convex optimization it is well known that certain subclasses of objective functions are much easier than arbitrary convex functions. We are interested in designing adaptive methods that can automatically get fast rates in as many…

机器学习 · 计算机科学 2021-08-31 Tim van Erven , Wouter M. Koolen

We consider the problem of online learning in Linear Quadratic Control systems whose state transition and state-action transition matrices $A$ and $B$ may be initially unknown. We devise an online learning algorithm and provide guarantees…

机器学习 · 计算机科学 2021-09-30 Yassir Jedra , Alexandre Proutiere

The performance of online convex optimization algorithms in a dynamic environment is often expressed in terms of the dynamic regret, which measures the decision maker's performance against a sequence of time-varying comparators. In the…

机器学习 · 计算机科学 2022-02-28 Nima Eshraghi , Ben Liang

A novel Follow-the-Perturbed-Leader type algorithm is proposed and analyzed for solving general long-term constrained optimization problems in an online manner, where the target and constraint functions are oblivious adversarially generated…

最优化与控制 · 数学 2025-10-02 Shijie Pan , Jianyu Xu , Wenjie Huang

We consider a common case of the combinatorial semi-bandit problem, the $m$-set semi-bandit, where the learner exactly selects $m$ arms from the total $d$ arms. In the adversarial setting, the best regret bound, known to be…

机器学习 · 计算机科学 2025-07-08 Jingxin Zhan , Yuchen Xin , Chenjie Sun , Zhihua Zhang

When applying aggregating strategies to Prediction with Expert Advice, the learning rate must be adaptively tuned. The natural choice of sqrt(complexity/current loss) renders the analysis of Weighted Majority derivatives quite complicated.…

人工智能 · 计算机科学 2007-05-23 Marcus Hutter , Jan Poland

Online optimization has emerged as powerful tool in large scale optimization. In this pa- per, we introduce efficient online optimization algorithms based on the alternating direction method (ADM), which can solve online convex optimization…

机器学习 · 计算机科学 2013-07-11 Huahua Wang , Arindam Banerjee

We present the first theoretical guarantees for differentially private online reinforcement learning (RL) with general function approximation, extending beyond prior work restricted to tabular and linear settings. Our approach combines a…

机器学习 · 计算机科学 2026-05-11 Yi He , Xingyu Zhou

We study the problem of system identification and adaptive control in partially observable linear dynamical systems. Adaptive and closed-loop system identification is a challenging problem due to correlations introduced in data collection.…

机器学习 · 计算机科学 2020-06-25 Sahin Lale , Kamyar Azizzadenesheli , Babak Hassibi , Anima Anandkumar

We study an online linear programming (OLP) problem under a random input model in which the columns of the constraint matrix along with the corresponding coefficients in the objective function are generated i.i.d. from an unknown…

数据结构与算法 · 计算机科学 2021-04-20 Xiaocheng Li , Yinyu Ye

We consider online convex optimization with stochastic constraints where the objective functions are arbitrarily time-varying and the constraint functions are independent and identically distributed (i.i.d.) over time. Both the objective…

最优化与控制 · 数学 2019-08-02 Xiaohan Wei , Hao Yu , Michael J. Neely

We study the problem of full-information online learning in the "bounded recall" setting popular in the study of repeated games. An online learning algorithm $\mathcal{A}$ is $M$-$\textit{bounded-recall}$ if its output at time $t$ can be…

机器学习 · 计算机科学 2024-06-04 Jon Schneider , Kiran Vodrahalli

In various control task domains, existing controllers provide a baseline level of performance that -- though possibly suboptimal -- should be maintained. Reinforcement learning (RL) algorithms that rely on extensive exploration of the state…

机器学习 · 计算机科学 2022-09-21 Sheelabhadra Dey , Sumedh Pendurkar , Guni Sharon , Josiah P. Hanna

Deep reinforcement learning (DRL) is one promising approach to teaching robots to perform complex tasks. Because methods that directly reuse the stored experience data cannot follow the change of the environment in robotic problems with a…

机器人学 · 计算机科学 2022-01-26 Taisuke Kobayashi

We present a new optimization-theoretic approach to analyzing Follow-the-Leader style algorithms, particularly in the setting where perturbations are used as a tool for regularization. We show that adding a strongly convex penalty function…

机器学习 · 计算机科学 2014-05-26 Jacob Abernethy , Chansoo Lee , Abhinav Sinha , Ambuj Tewari