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Related papers: Learning The Best Expert Efficiently

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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

Motivated by recent work on the experts problem in the streaming model, we consider the experts problem in the sliding window model. The sliding window model is a well-studied model that captures applications such as traffic monitoring,…

Machine Learning · Statistics 2026-01-08 Vladimir Braverman , Sumegha Garg , Chen Wang , David P. Woodruff , Samson Zhou

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 study the problem of expert advice under partial bandit feedback setting and create a sequential minimax optimal algorithm. Our algorithm works with a more general partial monitoring setting, where, in contrast to the classical bandit…

Machine Learning · Computer Science 2022-04-15 Kaan Gokcesu , Hakan Gokcesu

This paper considers two fundamental sequential decision-making problems: the problem of prediction with expert advice and the multi-armed bandit problem. We focus on stochastic regimes in which an adversary may corrupt losses, and we…

Machine Learning · Statistics 2021-09-24 Shinji Ito

In online learning, a decision maker repeatedly selects one of a set of actions, with the goal of minimizing the overall loss incurred. Following the recent line of research on algorithms endowed with additional predictive features, we…

We consider the problem of prediction with expert advice when the losses of the experts have low-dimensional structure: they are restricted to an unknown $d$-dimensional subspace. We devise algorithms with regret bounds that are independent…

Machine Learning · Computer Science 2016-05-24 Elad Hazan , Tomer Koren , Roi Livni , Yishay Mansour

We consider a variation on the problem of prediction with expert advice, where new forecasters that were unknown until then may appear at each round. As often in prediction with expert advice, designing an algorithm that achieves…

Machine Learning · Statistics 2017-09-01 Jaouad Mourtada , Odalric-Ambrym Maillard

We consider the problem of online combinatorial optimization under semi-bandit feedback, where a learner has to repeatedly pick actions from a combinatorial decision set in order to minimize the total losses associated with its decisions.…

Machine Learning · Computer Science 2015-06-11 Gergely Neu

We study the problem of nonstochastic bandits with expert advice, extending the setting from finitely many experts to any countably infinite set: A learner aims to maximize the total reward by taking actions sequentially based on bandit…

Machine Learning · Computer Science 2021-03-29 X. Flora Meng , Tuhin Sarkar , Munther A. Dahleh

We consider a variant of the classical online linear optimization problem in which at every step, the online player receives a "hint" vector before choosing the action for that round. Rather surprisingly, it was shown that if the hint…

Machine Learning · Computer Science 2020-10-05 Aditya Bhaskara , Ashok Cutkosky , Ravi Kumar , Manish Purohit

We consider online convex optimization with a zero-order oracle feedback. In particular, the decision maker does not know the explicit representation of the time-varying cost functions, or their gradients. At each time step, she observes…

Optimization and Control · Mathematics 2020-05-05 Tatiana Tatarenko , Maryam Kamgarpour

This paper considers the stability of online learning algorithms and its implications for learnability (bounded regret). We introduce a novel quantity called {\em forward regret} that intuitively measures how good an online learning…

Machine Learning · Computer Science 2012-11-28 Ankan Saha , Prateek Jain , Ambuj Tewari

We consider prediction with expert advice for strongly convex and bounded losses, and investigate trade-offs between regret and "variance" (i.e., squared difference of learner's predictions and best expert predictions). With $K$ experts,…

Machine Learning · Computer Science 2022-06-07 Dirk van der Hoeven , Nikita Zhivotovskiy , Nicolò Cesa-Bianchi

We investigate the problem of cumulative regret minimization for individual sequence prediction with respect to the best expert in a finite family of size K under limited access to information. We assume that in each round, the learner can…

Statistics Theory · Mathematics 2022-10-06 El Mehdi Saad , G. Blanchard

In this research note, we revisit the bandits with expert advice problem. Under a restricted feedback model, we prove a lower bound of order $\sqrt{K T \ln(N/K)}$ for the worst-case regret, where $K$ is the number of actions, $N>K$ the…

Machine Learning · Computer Science 2024-06-25 Nicolò Cesa-Bianchi , Khaled Eldowa , Emmanuel Esposito , Julia Olkhovskaya

We provide the first algorithm for online bandit linear optimization whose regret after T rounds is of order sqrt{Td ln N} on any finite class X of N actions in d dimensions, and of order d*sqrt{T} (up to log factors) when X is infinite.…

Machine Learning · Computer Science 2012-02-15 Nicolò Cesa-Bianchi , Sham Kakade

We prove the familiar Lazy Online Gradient Descent algorithm is universal on polytope domains. That means it gets $O(1)$ pseudo-regret against i.i.d opponents, while simultaneously achieving the well-known $O(\sqrt N)$ worst-case regret…

Machine Learning · Computer Science 2022-09-01 Daron Anderson , Douglas Leith

We introduce a transformation framework that can be utilized to develop online algorithms with low $\epsilon$-approximate regret in the random-order model from offline approximation algorithms. We first give a general reduction theorem that…

Machine Learning · Computer Science 2023-10-27 Jing Dong , Yuichi Yoshida

We consider online algorithms under both the competitive ratio criteria and the regret minimization one. Our main goal is to build a unified methodology that would be able to guarantee both criteria simultaneously. For a general class of…

Machine Learning · Computer Science 2019-04-09 Amit Daniely , Yishay Mansour