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相关论文: Non-exponentially weighted aggregation: regret bou…

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In federated learning (FL), weighted aggregation of local models is conducted to generate a global model, and the aggregation weights are normalized (the sum of weights is 1) and proportional to the local data sizes. In this paper, we…

机器学习 · 计算机科学 2023-06-13 Zexi Li , Tao Lin , Xinyi Shang , Chao Wu

We study dynamic regret minimization in non-stationary online learning, with a primary focus on follow-the-regularized-leader (FTRL) methods. FTRL is important for curved losses and for understanding adaptive optimizers such as Adam, yet…

机器学习 · 计算机科学 2026-02-10 Yan-Feng Xie , Yu-Jie Zhang , Peng Zhao , Zhi-Hua Zhou

We revisit the Follow the Regularized Leader (FTRL) framework for Online Convex Optimization (OCO) over compact sets, focusing on achieving dynamic regret guarantees. Prior work has highlighted the framework's limitations in dynamic…

机器学习 · 计算机科学 2026-03-19 Naram Mhaisen , George Iosifidis

A standard introduction to online learning might place Online Gradient Descent at its center and then proceed to develop generalizations and extensions like Online Mirror Descent and second-order methods. Here we explore the alternative…

机器学习 · 统计学 2021-08-31 Dirk van der Hoeven , Tim van Erven , Wojciech Kotłowski

We tackle the problem of Non-stochastic Control (NSC) with the aim of obtaining algorithms whose policy regret is proportional to the difficulty of the controlled environment. Namely, we tailor the Follow The Regularized Leader (FTRL)…

最优化与控制 · 数学 2024-04-24 Naram Mhaisen , George Iosifidis

Motivated by practical federated learning settings where clients may not be always available, we investigate a variant of distributed online optimization where agents are active with a known probability $p$ at each time step, and…

机器学习 · 计算机科学 2024-11-26 Juliette Achddou , Nicolò Cesa-Bianchi , Hao Qiu

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…

机器学习 · 计算机科学 2026-01-09 Antoine Moulin , Emmanuel Esposito , Dirk van der Hoeven

Follow-the-Regularized-Leader (FTRL) is a powerful framework for various online learning problems. By designing its regularizer and learning rate to be adaptive to past observations, FTRL is known to work adaptively to various properties of…

机器学习 · 计算机科学 2025-02-18 Taira Tsuchiya , Shinji Ito

We investigate the strategic surplus obtainable against a Follow-the-Regularized-Leader (FTRL) learner with constant step size $\eta$ in $n\times m$ two-player zero-sum games played over $T$ rounds against a clairvoyant optimizer. In…

计算机科学与博弈论 · 计算机科学 2026-05-25 Yiheng Su , Emmanouil-Vasileios Vlatakis-Gkaragkounis

We present a new online learning algorithm for cumulative discounted gain. This learning algorithm does not use exponential weights on the experts. Instead, it uses a weighting scheme that depends on the regret of the master algorithm…

计算机科学与博弈论 · 计算机科学 2008-07-01 Yoav Freund , Daniel Hsu

We develop the setting of sequential prediction based on shifting experts and on a "smooth" version of the method of specialized experts. To aggregate experts predictions, we use the AdaHedge algorithm, which is a version of the Hedge…

机器学习 · 计算机科学 2020-01-24 Vladimir V'yugin , Vladimir Trunov

In this work, we aim to create a completely online algorithmic framework for prediction with expert advice that is translation-free and scale-free of the expert losses. Our goal is to create a generalized algorithm that is suitable for use…

机器学习 · 计算机科学 2020-09-10 Kaan Gokcesu , Hakan Gokcesu

We study online aggregation of the predictions of experts, and first show new second-order regret bounds in the standard setting, which are obtained via a version of the Prod algorithm (and also a version of the polynomially weighted…

机器学习 · 统计学 2014-02-11 Pierre Gaillard , Gilles Stoltz , Tim Van Erven

We study how we can adapt a predictor to a non-stationary environment with advises from multiple experts. We study the problem under complete feedback when the best expert changes over time from a decision theoretic point of view. Proposed…

机器学习 · 计算机科学 2017-08-08 Vishnu Raj , Sheetal Kalyani

We consider a robust aggregation problem in the presence of both truthful and adversarial experts. The truthful experts will report their private signals truthfully, while the adversarial experts can report arbitrarily. We assume experts…

机器学习 · 计算机科学 2025-02-07 Yongkang Guo , Yuqing Kong

Non-stationary online learning has drawn much attention in recent years. Despite considerable progress, dynamic regret minimization has primarily focused on convex functions, leaving the functions with stronger curvature (e.g., squared or…

机器学习 · 计算机科学 2025-06-13 Yu-Jie Zhang , Peng Zhao , Masashi Sugiyama

The article is devoted to investigating the application of aggregating algorithms to the problem of the long-term forecasting. We examine the classic aggregating algorithms based on the exponential reweighing. For the general Vovk's…

机器学习 · 计算机科学 2019-02-27 Alexander Korotin , Vladimir V'yugin , Evgeny Burnaev

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…

机器学习 · 计算机科学 2024-06-05 Armando J. Cabrera Pacheco , Rabanus Derr , Robert C. Williamson

Recently, much work has been done on extending the scope of online learning and incremental stochastic optimization algorithms. In this paper we contribute to this effort in two ways: First, based on a new regret decomposition and a…

机器学习 · 计算机科学 2017-09-12 Pooria Joulani , András György , Csaba Szepesvári

We revisit the sequential variants of linear regression with the squared loss, classification problems with hinge loss, and logistic regression, all characterized by unbounded losses in the setup where no assumptions are made on the…

机器学习 · 统计学 2025-09-08 Jian Qian , Alexander Rakhlin , Nikita Zhivotovskiy