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We study the classic online learning problem of predicting with expert advice, and propose a truly parameter-free and adaptive algorithm that achieves several objectives simultaneously without using any prior information. The main component…

Machine Learning · Computer Science 2015-02-23 Haipeng Luo , Robert E. Schapire

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…

Machine Learning · Computer Science 2022-09-16 Matteo Castiglioni , Andrea Celli , Alberto Marchesi , Giulia Romano , Nicola Gatti

We consider online learning problems in the realizable setting, where there is a zero-loss solution, and propose new Differentially Private (DP) algorithms that obtain near-optimal regret bounds. For the problem of online prediction from…

Machine Learning · Computer Science 2023-03-01 Hilal Asi , Vitaly Feldman , Tomer Koren , Kunal Talwar

A crucial problem in reinforcement learning is learning the optimal policy. We study this in tabular infinite-horizon discounted Markov decision processes under the online setting. The existing algorithms either fail to achieve regret…

Machine Learning · Computer Science 2023-12-13 Xiang Ji , Gen Li

Learning to control an unknown dynamical system with respect to high-level temporal specifications is an important problem in control theory. We present the first regret-free online algorithm for learning a controller for linear temporal…

Artificial Intelligence · Computer Science 2025-06-09 Rupak Majumdar , Mahmoud Salamati , Sadegh Soudjani

We show how to take any two parameter-free online learning algorithms with different regret guarantees and obtain a single algorithm whose regret is the minimum of the two base algorithms. Our method is embarrassingly simple: just add the…

Machine Learning · Statistics 2019-02-26 Ashok Cutkosky

In Apprenticeship Learning (AL), we are given a Markov Decision Process (MDP) without access to the cost function. Instead, we observe trajectories sampled by an expert that acts according to some policy. The goal is to find a policy that…

Machine Learning · Computer Science 2021-12-30 Lior Shani , Tom Zahavy , Shie Mannor

We consider the problem of online learning where the sequence of actions played by the learner must adhere to an unknown safety constraint at every round. The goal is to minimize regret with respect to the best safe action in hindsight…

Machine Learning · Computer Science 2024-03-08 Karthik Sridharan , Seung Won Wilson Yoo

Inspired by the demands of real-time climate and weather forecasting, we develop optimistic online learning algorithms that require no parameter tuning and have optimal regret guarantees under delayed feedback. Our algorithms -- DORM,…

We improve the theoretical and empirical performance of neural-network(NN)-based active learning algorithms for the non-parametric streaming setting. In particular, we introduce two regret metrics by minimizing the population loss that are…

Machine Learning · Computer Science 2023-01-18 Yikun Ban , Yuheng Zhang , Hanghang Tong , Arindam Banerjee , Jingrui He

We establish the first uncoupled learning algorithm that attains $O(n \log^2 d \log T)$ per-player regret in multi-player general-sum games, where $n$ is the number of players, $d$ is the number of actions available to each player, and $T$…

Computer Science and Game Theory · Computer Science 2025-04-01 Ashkan Soleymani , Georgios Piliouras , Gabriele Farina

We provide an online convex optimization algorithm with regret that interpolates between the regret of an algorithm using an optimal preconditioning matrix and one using a diagonal preconditioning matrix. Our regret bound is never worse…

Machine Learning · Computer Science 2019-05-31 Ashok Cutkosky , Tamas Sarlos

We present a reduction from reinforcement learning (RL) to no-regret online learning based on the saddle-point formulation of RL, by which "any" online algorithm with sublinear regret can generate policies with provable performance…

Machine Learning · Computer Science 2020-01-03 Ching-An Cheng , Remi Tachet des Combes , Byron Boots , Geoff Gordon

This paper investigates the problem of regret minimization in linear time-varying (LTV) dynamical systems. Due to the simultaneous presence of uncertainty and non-stationarity, designing online control algorithms for unknown LTV systems…

Machine Learning · Computer Science 2022-06-07 Yuzhen Han , Ruben Solozabal , Jing Dong , Xingyu Zhou , Martin Takac , Bin Gu

In this paper, we consider the problem of finding a meta-learning online control algorithm that can learn across the tasks when faced with a sequence of $N$ (similar) control tasks. Each task involves controlling a linear dynamical system…

Machine Learning · Computer Science 2022-08-23 Deepan Muthirayan , Dileep Kalathil , Pramod P. Khargonekar

Consider a sequence of bits where we are trying to predict the next bit from the previous bits. Assume we are allowed to say 'predict 0' or 'predict 1', and our payoff is +1 if the prediction is correct and -1 otherwise. We will say that at…

Data Structures and Algorithms · Computer Science 2012-10-11 Michael Kapralov , Rina Panigrahy

We consider the problem of online combinatorial optimization under semi-bandit feedback. The goal of the learner is to sequentially select its actions from a combinatorial decision set so as to minimize its cumulative loss. We propose a…

Machine Learning · Computer Science 2013-05-14 Gergely Neu , Gábor Bartók

Online linear programming plays an important role in both revenue management and resource allocation, and recent research has focused on developing efficient first-order online learning algorithms. Despite the empirical success of…

Machine Learning · Statistics 2025-01-07 Wenzhi Gao , Dongdong Ge , Chenyu Xue , Chunlin Sun , Yinyu Ye

We study online learning settings in which experts act strategically to maximize their influence on the learning algorithm's predictions by potentially misreporting their beliefs about a sequence of binary events. Our goal is twofold.…

Machine Learning · Computer Science 2020-07-02 Rupert Freeman , David M. Pennock , Chara Podimata , Jennifer Wortman Vaughan

We develop a modified online mirror descent framework that is suitable for building adaptive and parameter-free algorithms in unbounded domains. We leverage this technique to develop the first unconstrained online linear optimization…

Machine Learning · Computer Science 2024-02-12 Andrew Jacobsen , Ashok Cutkosky