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This work studies external regret in sequential prediction games with both positive and negative payoffs. External regret measures the difference between the payoff obtained by the forecasting strategy and the payoff of the best action. In…

Statistics Theory · Mathematics 2007-06-13 Nicolo Cesa-Bianchi , Yishay Mansour , Gilles Stoltz

This paper considers a variant of the online paging problem, where the online algorithm has access to multiple predictors, each producing a sequence of predictions for the page arrival times. The predictors may have occasional prediction…

Data Structures and Algorithms · Computer Science 2020-11-20 Yuval Emek , Shay Kutten , Yangguang Shi

We study the problem of learning Markov decision processes with finite state and action spaces when the transition probability distributions and loss functions are chosen adversarially and are allowed to change with time. We introduce an…

Machine Learning · Computer Science 2013-03-14 Yasin Abbasi-Yadkori , Peter L. Bartlett , Csaba Szepesvari

In many quantum tasks, there is an unknown quantum object that one wishes to learn. An online strategy for this task involves adaptively refining a hypothesis to reproduce such an object or its measurement statistics. A common evaluation…

Quantum Physics · Physics 2025-11-25 Akshay Bansal , Ian George , Soumik Ghosh , Jamie Sikora , Alice Zheng

A fundamental challenge in machine learning is the choice of a loss as it characterizes our learning task, is minimized in the training phase, and serves as an evaluation criterion for estimators. Proper losses are commonly chosen, ensuring…

Machine Learning · Statistics 2026-03-04 Han Bao , Asuka Takatsu

We study online decision making problems under resource constraints, where both reward and cost functions are drawn from distributions that may change adversarially over time. We focus on two canonical settings: $(i)$ online resource…

Machine Learning · Computer Science 2025-06-19 Francesco Emanuele Stradi , Matteo Castiglioni , Alberto Marchesi , Nicola Gatti , Christian Kroer

We study a new class of online learning problems where each of the online algorithm's actions is assigned an adversarial value, and the loss of the algorithm at each step is a known and deterministic function of the values assigned to its…

Machine Learning · Computer Science 2014-05-20 Ofer Dekel , Jian Ding , Tomer Koren , Yuval Peres

In the random-order model for online learning, the sequence of losses is chosen upfront by an adversary and presented to the learner after a random permutation. Any random-order input is \emph{asymptotically} equivalent to a stochastic…

Machine Learning · Computer Science 2025-10-06 Martino Bernasconi , Andrea Celli , Riccardo Colini-Baldeschi , Federico Fusco , Stefano Leonardi , Matteo Russo

Online kernel selection is a fundamental problem of online kernel methods.In this paper,we study online kernel selection with memory constraint in which the memory of kernel selection and online prediction procedures is limited to a fixed…

Machine Learning · Computer Science 2025-03-25 Junfan Li , Shizhong Liao

Online learning and model reference adaptive control have many interesting intersections. One area where they differ however is in how the algorithms are analyzed and what objective or metric is used to discriminate "good" algorithms from…

Systems and Control · Electrical Eng. & Systems 2025-01-24 Travis E. Gibson , Sawal Acharya

We study the problem of online learning with a notion of regret defined with respect to a set of strategies. We develop tools for analyzing the minimax rates and for deriving regret-minimization algorithms in this scenario. While the…

Machine Learning · Statistics 2013-02-13 Wei Han , Alexander Rakhlin , Karthik Sridharan

We define an online learning and optimization problem with discrete and irreversible decisions contributing toward a coverage target. In each period, a decision-maker selects facilities to open, receives information on the success of each…

Machine Learning · Computer Science 2026-03-06 Alexandre Jacquillat , Michael Lingzhi Li

In online learning, the data is provided in a sequential order, and the goal of the learner is to make online decisions to minimize overall regrets. This note is concerned with continuous-time models and algorithms for several online…

Machine Learning · Statistics 2024-05-20 Lexing Ying

Prediction with expert advice is a foundational problem in online learning. In instances with $T$ rounds and $n$ experts, the classical Multiplicative Weights Update method suffers at most $\sqrt{(T/2)\ln n}$ regret when $T$ is known…

Machine Learning · Computer Science 2022-03-16 Laura Greenstreet , Nicholas J. A. Harvey , Victor Sanches Portella

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 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…

Machine Learning · Computer Science 2024-01-03 Piao Hu , Jiashuo Jiang , Guodong Lyu , Hao Su

Efficient online learning with pairwise loss functions is a crucial component in building large-scale learning system that maximizes the area under the Receiver Operator Characteristic (ROC) curve. In this paper we investigate the…

Machine Learning · Statistics 2013-01-24 Yuyang Wang , Roni Khardon , Dmitry Pechyony , Rosie Jones

We study an online linear optimization (OLO) problem in which the learner is provided access to $K$ "hint" vectors in each round prior to making a decision. In this setting, we devise an algorithm that obtains logarithmic regret whenever…

Machine Learning · Computer Science 2020-10-08 Aditya Bhaskara , Ashok Cutkosky , Ravi Kumar , Manish Purohit

We study online boosting, the task of converting any weak online learner into a strong online learner. Based on a novel and natural definition of weak online learnability, we develop two online boosting algorithms. The first algorithm is an…

Machine Learning · Computer Science 2015-02-10 Alina Beygelzimer , Satyen Kale , Haipeng Luo

We study the problem of online learning with non-convex losses, where the learner has access to an offline optimization oracle. We show that the classical Follow the Perturbed Leader (FTPL) algorithm achieves optimal regret rate of…

Machine Learning · Computer Science 2019-09-24 Arun Sai Suggala , Praneeth Netrapalli