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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…

机器学习 · 计算机科学 2022-04-15 Kaan Gokcesu , Hakan Gokcesu

Smoothness is known to be crucial for acceleration in offline optimization, and for gradient-variation regret minimization in online learning. Interestingly, these two problems are actually closely connected -- accelerated optimization can…

机器学习 · 计算机科学 2025-11-05 Yuheng Zhao , Yu-Hu Yan , Kfir Yehuda Levy , Peng Zhao

We consider a bandit optimization problem for nonconvex and non-smooth functions, where in each trial the loss function is the sum of a linear function and a small but arbitrary perturbation chosen after observing the player's choice. We…

机器学习 · 计算机科学 2026-01-07 Zhuoyu Cheng , Kohei Hatano , Eiji Takimoto

We consider a combinatorial multi-armed bandit problem for maximum value reward function under maximum value and index feedback. This is a new feedback structure that lies in between commonly studied semi-bandit and full-bandit feedback…

机器学习 · 计算机科学 2023-05-26 Yiliu Wang , Wei Chen , Milan Vojnović

We consider dynamic pricing with many products under an evolving but low-dimensional demand model. Assuming the temporal variation in cross-elasticities exhibits low-rank structure based on fixed (latent) features of the products, we show…

机器学习 · 计算机科学 2019-09-12 Jonas Mueller , Vasilis Syrgkanis , Matt Taddy

We study repeated multi-player vector-valued games in which a player observes a payoff vector each round and evaluates outcomes through linear scalarizations of those vectors. Different from most prior works, the choice of scalarization is…

计算机科学与博弈论 · 计算机科学 2026-05-12 Ehsan Asadollahi , Calvin Hawkins , Matthew Hale

We investigate online convex optimization in non-stationary environments and choose dynamic regret as the performance measure, defined as the difference between cumulative loss incurred by the online algorithm and that of any feasible…

机器学习 · 计算机科学 2024-04-09 Peng Zhao , Yu-Jie Zhang , Lijun Zhang , Zhi-Hua Zhou

We study Online Convex Optimization (OCO) with adversarial constraints, where an online algorithm must make sequential decisions to minimize both convex loss functions and cumulative constraint violations. We focus on a setting where the…

机器学习 · 统计学 2025-03-14 Jordan Lekeufack , Michael I. Jordan

In online learning problems, exploiting low variance plays an important role in obtaining tight performance guarantees yet is challenging because variances are often not known a priori. Recently, considerable progress has been made by Zhang…

机器学习 · 统计学 2023-02-07 Yeoneung Kim , Insoon Yang , Kwang-Sung Jun

Online gradient descent (OGD) is well known to be doubly optimal under strong convexity or monotonicity assumptions: (1) in the single-agent setting, it achieves an optimal regret of $\Theta(\log T)$ for strongly convex cost functions; and…

计算机科学与博弈论 · 计算机科学 2024-04-01 Michael I. Jordan , Tianyi Lin , Zhengyuan Zhou

We present an adaptive online gradient descent algorithm to solve online convex optimization problems with long-term constraints , which are constraints that need to be satisfied when accumulated over a finite number of rounds T , but can…

机器学习 · 统计学 2015-12-24 Rodolphe Jenatton , Jim Huang , Cédric Archambeau

We study Constrained Online Convex Optimization with Memory (COCO-M), where both the loss and the constraints depend on a finite window of past decisions made by the learner. This setting extends the previously studied unconstrained online…

机器学习 · 计算机科学 2026-03-24 Mohammed Abdullah , George Iosifidis , Salah Eddine Elayoubi , Tijani Chahed

This paper considers no-regret learning for repeated continuous-kernel games with lossy bandit feedback. Since it is difficult to give the explicit model of the utility functions in dynamic environments, the players' action can only be…

机器学习 · 计算机科学 2022-05-17 Wenting Liu , Jinlong Lei , Peng Yi , Yiguang Hong

No-regret self-play learning dynamics have become one of the premier ways to solve large-scale games in practice. Accelerating their convergence via improving the regret of the players over the naive $O(\sqrt{T})$ bound after $T$ rounds has…

机器学习 · 计算机科学 2025-02-26 Shinji Ito , Haipeng Luo , Taira Tsuchiya , Yue Wu

Motivated by applications to online learning in sparse estimation and Bayesian optimization, we consider the problem of online unconstrained nonsubmodular minimization with delayed costs in both full information and bandit feedback…

机器学习 · 计算机科学 2022-06-02 Tianyi Lin , Aldo Pacchiano , Yaodong Yu , Michael I. Jordan

We consider the problem of bandit optimization, inspired by stochastic optimization and online learning problems with bandit feedback. In this problem, the objective is to minimize a global loss function of all the actions, not necessarily…

机器学习 · 计算机科学 2017-09-07 Quentin Berthet , Vianney Perchet

In this paper, we investigate the stochastic contextual bandit with general function space and graph feedback. We propose an algorithm that addresses this problem by adapting to both the underlying graph structures and reward gaps. To the…

机器学习 · 计算机科学 2024-01-09 Xueping Gong , Jiheng Zhang

We study online learning with bandit feedback across multiple tasks, with the goal of improving average performance across tasks if they are similar according to some natural task-similarity measure. As the first to target the adversarial…

机器学习 · 计算机科学 2022-05-30 Maria-Florina Balcan , Keegan Harris , Mikhail Khodak , Zhiwei Steven Wu

We consider distributed online convex optimization problems, where the distributed system consists of various computing units connected through a time-varying communication graph. In each time step, each computing unit selects a constrained…

机器学习 · 计算机科学 2019-12-23 Deming Yuan , Alexandre Proutiere , Guodong Shi

We consider an online stochastic game with risk-averse agents whose goal is to learn optimal decisions that minimize the risk of incurring significantly high costs. Specifically, we use the Conditional Value at Risk (CVaR) as a risk measure…

机器学习 · 计算机科学 2022-06-17 Zifan Wang , Yi Shen , Michael M. Zavlanos