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We explore the use of expert-guided bandit learning, which we refer to as online mixture-of-experts (OMoE). In this setting, given a context, a candidate committee of experts must determine how to aggregate their outputs to achieve optimal…

机器学习 · 计算机科学 2025-11-18 Larkin Liu , Jalal Etesami

Unconstrained Online Linear Optimization (OLO) is a practical problem setting to study the training of machine learning models. Existing works proposed a number of potential-based algorithms, but in general the design of these potential…

机器学习 · 计算机科学 2022-06-16 Zhiyu Zhang , Ashok Cutkosky , Ioannis Paschalidis

Self-normalized martingale inequalities lie at the heart of confidence ellipsoids for online least squares and, more broadly, many bandit and reinforcement-learning results. Yet existing vector and scalar results typically rely on bounded…

机器学习 · 统计学 2026-05-05 Fan Chen , Jian Qian , Alexander Rakhlin , Nikita Zhivotovskiy

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.…

机器学习 · 计算机科学 2007-05-23 Marcus Hutter , Jan Poland

We study the repeated optimal stopping problem, in which the same optimal stopping instance with an unknown distribution is solved repeatedly over $T$ rounds. We aim to simultaneously achieve strong per-round performance guarantees relative…

数据结构与算法 · 计算机科学 2026-05-18 Tsubasa Harada , Yasushi Kawase , Hanna Sumita

We consider the setting of online logistic regression and consider the regret with respect to the 2-ball of radius B. It is known (see [Hazan et al., 2014]) that any proper algorithm which has logarithmic regret in the number of samples…

机器学习 · 计算机科学 2020-11-04 Rémi Jézéquel , Pierre Gaillard , Alessandro Rudi

We consider an adversarial variant of the classic $K$-armed linear contextual bandit problem where the sequence of loss functions associated with each arm are allowed to change without restriction over time. Under the assumption that the…

机器学习 · 计算机科学 2022-05-25 Gergely Neu , Julia Olkhovskaya

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…

机器学习 · 计算机科学 2020-01-03 Ching-An Cheng , Remi Tachet des Combes , Byron Boots , Geoff Gordon

This paper studies bandit convex optimization in non-stationary environments with two-point feedback, using dynamic regret as the performance measure. We propose an algorithm based on bandit mirror descent that extends naturally to…

最优化与控制 · 数学 2026-05-26 Chang He , Bo Jiang , Shuzhong Zhang

We develop a form Thompson sampling for online learning under full feedback - also known as prediction with expert advice - where the learner's prior is defined over the space of an adversary's future actions, rather than the space of…

机器学习 · 计算机科学 2025-09-23 Alexander Terenin , Jeffrey Negrea

Classical Mixtures of Experts (MoE) are Machine Learning models that involve partitioning the input space, with a separate "expert" model trained on each partition. Recently, MoE-based model architectures have become popular as a means to…

机器学习 · 计算机科学 2025-10-14 Quentin Fruytier , Aryan Mokhtari , Sujay Sanghavi

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…

机器学习 · 计算机科学 2025-11-03 Junfan Li , Shizhong Liao , Zenglin Xu , Liqiang Nie

We consider learning in an adversarial Markov Decision Process (MDP) where the loss functions can change arbitrarily over $K$ episodes and the state space can be arbitrarily large. We assume that the Q-function of any policy is linear in…

机器学习 · 计算机科学 2023-06-05 Yan Dai , Haipeng Luo , Chen-Yu Wei , Julian Zimmert

We study a novel variant of online finite-horizon Markov Decision Processes with adversarially changing loss functions and initially unknown dynamics. In each episode, the learner suffers the loss accumulated along the trajectory realized…

机器学习 · 计算机科学 2021-02-02 Alon Cohen , Haim Kaplan , Tomer Koren , Yishay Mansour

In this paper, we study a class of online optimization problems with long-term budget constraints where the objective functions are not necessarily concave (nor convex) but they instead satisfy the Diminishing Returns (DR) property.…

最优化与控制 · 数学 2019-07-02 Omid Sadeghi , Maryam Fazel

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…

机器学习 · 计算机科学 2020-01-07 Yang Liu , David P. Helmbold

We investigate multiarmed bandits with delayed feedback, where the delays need neither be identical nor bounded. We first prove that "delayed" Exp3 achieves the $O(\sqrt{(KT + D)\ln K} )$ regret bound conjectured by Cesa-Bianchi et al.…

机器学习 · 计算机科学 2019-11-20 Tobias Sommer Thune , Nicolò Cesa-Bianchi , Yevgeny Seldin

We consider the dynamic resource allocation problem where the decision space is finite-dimensional, yet the solution must satisfy a large or even infinite number of constraints revealed via streaming data or oracle feedback. We model this…

机器学习 · 计算机科学 2026-03-18 Yiming Zong , Jiashuo Jiang

In the setting of online learning, Implicit algorithms turn out to be highly successful from a practical standpoint. However, the tightest regret analyses only show marginal improvements over Online Mirror Descent. In this work, we shed…

机器学习 · 计算机科学 2020-11-10 Nicolò Campolongo , Francesco Orabona

Online optimisation studies the convergence of optimisation methods as the data embedded in the problem changes. Based on this idea, we propose a primal dual online method for nonlinear time-discrete inverse problems. We analyse the method…

最优化与控制 · 数学 2025-03-18 Neil Dizon , Jyrki Jauhiainen , Tuomo Valkonen