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We specify an experts algorithm with the following characteristics: (a) it uses only feedback from the actions actually chosen (bandit setup), (b) it can be applied with countably infinite expert classes, and (c) it copes with losses that…

Machine Learning · Computer Science 2007-05-23 Jan Poland , Marcus Hutter

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

This work addresses the classic machine learning problem of online prediction with expert advice. We consider the finite-horizon version of this zero-sum, two-person game. Using verification arguments from optimal control theory, we view…

Machine Learning · Computer Science 2020-06-30 Vladimir A. Kobzar , Robert V. Kohn , Zhilei Wang

Supervised learning has gone beyond the expected risk minimization framework. Central to most of these developments is the introduction of more general aggregation functions for losses incurred by the learner. In this paper, we turn towards…

Machine Learning · Computer Science 2024-06-05 Armando J. Cabrera Pacheco , Rabanus Derr , Robert C. Williamson

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.…

Machine Learning · Computer Science 2007-05-23 Marcus Hutter , Jan Poland

We consider a general framework of online learning with expert advice where regret is defined with respect to sequences of experts accepted by a weighted automaton. Our framework covers several problems previously studied, including…

Machine Learning · Computer Science 2017-10-24 Mehryar Mohri , Scott Yang

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

This paper considers a variant of the classical online learning problem with expert predictions. Our model's differences and challenges are due to lacking any direct feedback on the loss each expert incurs at each time step $t$. We propose…

Machine Learning · Computer Science 2020-01-07 Yang Liu , David P. Helmbold

We tackle the problem of online optimization with a general, possibly unbounded, loss function. It is well known that when the loss is bounded, the exponentially weighted aggregation strategy (EWA) leads to a regret in $\sqrt{T}$ after $T$…

Machine Learning · Statistics 2022-01-17 Pierre Alquier

The goal of online prediction with expert advice is to find a decision strategy which will perform almost as well as the best expert in a given pool of experts, on any sequence of outcomes. This problem has been widely studied and…

Machine Learning · Computer Science 2018-05-22 Parameswaran Kamalaruban , Robert C. Williamson , Xinhua Zhang

This paper studies online algorithms augmented with multiple machine-learned predictions. While online algorithms augmented with a single prediction have been extensively studied in recent years, the literature for the multiple predictions…

Machine Learning · Computer Science 2022-07-14 Keerti Anand , Rong Ge , Amit Kumar , Debmalya Panigrahi

The paper presents numerical experiments and some theoretical developments in prediction with expert advice (PEA). One experiment deals with predicting electricity consumption depending on temperature and uses real data. As the pattern of…

Artificial Intelligence · Computer Science 2021-09-30 Vladimir V'yugin , Vladimir Trunov

We consider the problem setting of prediction with expert advice with possibly heavy-tailed losses, i.e. the only assumption on the losses is an upper bound on their second moments, denoted by $\theta$. We develop adaptive algorithms that…

Machine Learning · Computer Science 2026-01-09 Antoine Moulin , Emmanuel Esposito , Dirk van der Hoeven

We study the problem of robust forecast aggregation: combining expert forecasts with provable accuracy guarantees compared to the best possible aggregation of the underlying information. Prior work shows strong impossibility results, e.g.…

Computer Science and Game Theory · Computer Science 2025-12-08 Rafael Frongillo , Mary Monroe , Eric Neyman , Bo Waggoner

We consider a prediction problem with two experts and a forecaster. We assume that one of the experts is honest and makes correct prediction with probability $\mu$ at each round. The other one is malicious, who knows true outcomes at each…

Optimization and Control · Mathematics 2020-03-20 Erhan Bayraktar , H. Vincent Poor , Xin Zhang

In order to improve forecasts, a decisionmaker often combines probabilities given by various sources, such as human experts and machine learning classifiers. When few training data are available, aggregation can be improved by incorporating…

Machine Learning · Computer Science 2012-07-19 Joseph Kahn

Online averaged stochastic gradient algorithms are more and more studied since (i) they can deal quickly with large sample taking values in high dimensional spaces, (ii) they enable to treat data sequentially, (iii) they are known to be…

Statistics Theory · Mathematics 2024-09-16 Antoine Godichon-Baggioni

Given a random variable $O \in \mathbb{R}$ and a set of experts $E$, we describe a method for finding a subset of experts $S \subseteq E$ whose aggregated opinion best predicts the outcome of $O$. Therefore, the problem can be regarded as a…

Data Structures and Algorithms · Computer Science 2015-04-28 MohammadAmin Fazli , Azin Ghazimatin , Jafar Habibi , Hamid Haghshenas

This paper shows how universal learning can be achieved with expert advice. To this aim, we specify an experts algorithm with the following characteristics: (a) it uses only feedback from the actions actually chosen (bandit setup), (b) it…

Machine Learning · Computer Science 2007-05-23 Jan Poland , Marcus Hutter

We study a generalization of the online binary prediction with expert advice framework where at each round, the learner is allowed to pick $m\geq 1$ experts from a pool of $K$ experts and the overall utility is a modular or submodular…

Machine Learning · Computer Science 2023-05-25 Omid Sadeghi , Maryam Fazel