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We consider the problem of learning an unknown subset $N_\text{target}$ of a domain in an online setting. In each round $t$, the learner predicts a set of items ${N}_t$ and receives one of two types of feedback, each with equal probability:…

Machine Learning · Computer Science 2026-05-12 Lee Cohen , Yishay Mansour , Shay Moran , Han Shao

We consider the problem of online learning in misspecified linear stochastic multi-armed bandit problems. Regret guarantees for state-of-the-art linear bandit algorithms such as Optimism in the Face of Uncertainty Linear bandit (OFUL) hold…

Machine Learning · Computer Science 2017-04-25 Avishek Ghosh , Sayak Ray Chowdhury , Aditya Gopalan

Regularized online learning is widely used in machine learning applications. In online learning, performing exact minimization ($i.e.,$ implicit update) is known to be beneficial to the numerical stability and structure of solution. In this…

Machine Learning · Computer Science 2019-02-08 Chaobing Song , Ji Liu , Han Liu , Yong Jiang , Tong Zhang

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

We propose an online learning algorithm that adaptively designs a decentralized linear quadratic regulator when the system model is unknown a priori and new data samples from a single system trajectory become progressively available. The…

Optimization and Control · Mathematics 2024-07-08 Lintao Ye , Ming Chi , Ruiquan Liao , Vijay Gupta

We study the problem of planning under model uncertainty in an online meta-reinforcement learning (RL) setting where an agent is presented with a sequence of related tasks with limited interactions per task. The agent can use its experience…

Artificial Intelligence · Computer Science 2023-01-02 Khimya Khetarpal , Claire Vernade , Brendan O'Donoghue , Satinder Singh , Tom Zahavy

In this book, I introduce the basic concepts of Online Learning through the modern view of Online Convex Optimization. Here, online learning refers to the framework of regret minimization under worst-case assumptions. I present first-order…

Machine Learning · Computer Science 2026-04-28 Francesco Orabona

We propose an efficient online approximate Bayesian inference algorithm for estimating the parameters of a nonlinear function from a potentially non-stationary data stream. The method is based on the extended Kalman filter (EKF), but uses a…

Machine Learning · Statistics 2023-06-29 Peter G. Chang , Gerardo Durán-Martín , Alexander Y Shestopaloff , Matt Jones , Kevin Murphy

Machine unlearning poses challenges in removing mislabeled, contaminated, or problematic data from a pretrained model. Current unlearning approaches and evaluation metrics are solely focused on model predictions, which limits insight into…

Machine Learning · Computer Science 2026-04-13 Khoa Tran , Simon S. Woo

We revisit the problem of \textit{online linear optimization} in case the set of feasible actions is accessible through an approximated linear optimization oracle with a factor $\alpha$ multiplicative approximation guarantee. This setting…

Machine Learning · Computer Science 2017-09-12 Dan Garber

Online learning algorithms have been successfully used to design caching policies with sublinear regret in the total number of requests, with no statistical assumption about the request sequence. Most existing algorithms involve…

Machine Learning · Computer Science 2025-03-05 Younes Ben Mazziane , Francescomaria Faticanti , Sara Alouf , Giovanni Neglia

We study an online forecasting setting in which, over $T$ rounds, $N$ strategic experts each report a forecast to a mechanism, the mechanism selects one forecast, and then the outcome is revealed. In any given round, each expert has a…

Machine Learning · Computer Science 2025-02-18 Junpei Komiyama , Nishant A. Mehta , Ali Mortazavi

We design and analyze algorithms for online linear optimization that have optimal regret and at the same time do not need to know any upper or lower bounds on the norm of the loss vectors. Our algorithms are instances of the Follow the…

Machine Learning · Computer Science 2016-12-15 Francesco Orabona , Dávid Pál

In this paper, we propose a new model reduction technique for linear stochastic systems that builds upon knowledge filtering and utilizes optimal Kalman filtering techniques. This new technique will reduce the dimension of the noise…

Systems and Control · Electrical Eng. & Systems 2023-09-18 Maico Hendrikus Wilhelmus Engelaar , Licio Romao , Yulong Gao , Mircea Lazar , Alessandro Abate , Sofie Haesaert

A major problem in motor control is understanding how the brain plans and executes proper movements in the face of delayed and noisy stimuli. A prominent framework for addressing such control problems is Optimal Feedback Control (OFC). OFC…

Neurons and Cognition · Quantitative Biology 2021-11-16 Johannes Friedrich , Siavash Golkar , Shiva Farashahi , Alexander Genkin , Anirvan M. Sengupta , Dmitri B. Chklovskii

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

This paper presents a quantized Kalman filter implemented using unreliable memories. We consider that both the quantization and the unreliable memories introduce errors in the computations, and develop an error propagation model that takes…

Information Theory · Computer Science 2021-09-06 Jonathan Kern , Elsa Dupraz , Abdeldjalil Aïssa-El-Bey , Lav R. Varshney , François Leduc-Primeau

We study the regret of reinforcement learning from offline data generated by a fixed behavior policy in an infinite-horizon discounted Markov decision process (MDP). While existing analyses of common approaches, such as fitted $Q$-iteration…

Machine Learning · Computer Science 2023-07-13 Yichun Hu , Nathan Kallus , Masatoshi Uehara

We propose a simple model selection approach for algorithms in stochastic bandit and reinforcement learning problems. As opposed to prior work that (implicitly) assumes knowledge of the optimal regret, we only require that each base…

Machine Learning · Computer Science 2020-12-25 Aldo Pacchiano , Christoph Dann , Claudio Gentile , Peter Bartlett

In this paper, we study the problem of online sparse linear regression (OSLR) where the algorithms are restricted to accessing only $k$ out of $d$ attributes per instance for prediction, which was proved to be NP-hard. Previous work gave…

Machine Learning · Computer Science 2025-11-03 Junfan Li , Shizhong Liao , Zenglin Xu , Liqiang Nie
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