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We study a new learning protocol, termed partial-feedback online learning, where each instance admits a set of acceptable labels, but the learner observes only one acceptable label per round. We highlight that, while classical version space…

机器学习 · 计算机科学 2026-04-03 Shihao Shao , Cong Fang , Zhouchen Lin , Dacheng Tao

While quantum reinforcement learning (RL) has attracted a surge of attention recently, its theoretical understanding is limited. In particular, it remains elusive how to design provably efficient quantum RL algorithms that can address the…

量子物理 · 物理学 2024-06-14 Han Zhong , Jiachen Hu , Yecheng Xue , Tongyang Li , Liwei Wang

Stochastically Extended Adversarial (SEA) model is introduced by Sachs et al. [2022] as an interpolation between stochastic and adversarial online convex optimization. Under the smoothness condition, they demonstrate that the expected…

机器学习 · 计算机科学 2024-03-19 Sijia Chen , Yu-Jie Zhang , Wei-Wei Tu , Peng Zhao , Lijun Zhang

Non-stationary online learning has drawn much attention in recent years. In particular, dynamic regret and adaptive regret are proposed as two principled performance measures for online convex optimization in non-stationary environments. To…

机器学习 · 计算机科学 2025-09-10 Peng Zhao , Yan-Feng Xie , Lijun Zhang , Zhi-Hua Zhou

Universal online learning aims to achieve optimal regret guarantees without requiring prior knowledge of the curvature of online functions. Existing methods have established minimax-optimal regret bounds for universal online learning, where…

机器学习 · 计算机科学 2025-11-26 Peng Zhao , Yu-Hu Yan , Hang Yu , Zhi-Hua Zhou

Optimization problems routinely depend on uncertain parameters that must be predicted before a decision is made. Classical robust and regret formulations are designed to handle erroneous predictions and can provide statistical error bounds…

最优化与控制 · 数学 2026-03-30 Jannis Kurtz , Bart P. G. van Parys

We consider the adversarial online multi-task reinforcement learning setting, where in each of $K$ episodes the learner is given an unknown task taken from a finite set of $M$ unknown finite-horizon MDP models. The learner's objective is to…

机器学习 · 计算机科学 2023-01-12 Quan Nguyen , Nishant A. Mehta

We address the problem of simultaneously learning and control in an online receding horizon control setting. We consider the control of an unknown linear dynamical system with general cost functions and affine constraints on the control…

最优化与控制 · 数学 2022-11-02 Deepan Muthirayan , Jianjun Yuan , Pramod P. Khargonekar

The classical algorithms for online learning and decision-making have the benefit of achieving the optimal performance guarantees, but suffer from computational complexity limitations when implemented at scale. More recent sophisticated…

机器学习 · 计算机科学 2022-10-19 Guanghui Wang , Zihao Hu , Vidya Muthukumar , Jacob Abernethy

We consider the general (stochastic) contextual bandit problem under the realizability assumption, i.e., the expected reward, as a function of contexts and actions, belongs to a general function class $\mathcal{F}$. We design a fast and…

机器学习 · 计算机科学 2021-07-13 David Simchi-Levi , Yunzong Xu

Maintaining predictive accuracy in non-stationary environments requires online model selection to adapt autonomously to unknown distribution shifts. However, existing tuning-free algorithms face a fundamental trade-off between robustness…

机器学习 · 计算机科学 2026-05-27 Kei Takemura , Ryuta Matsuno , Keita Sakuma

We resolve an open question from (Christiano, 2014b) posed in COLT'14 regarding the optimal dependency of the regret achievable for online local learning on the size of the label set. In this framework the algorithm is shown a pair of items…

机器学习 · 计算机科学 2015-08-25 Pranjal Awasthi , Moses Charikar , Kevin A. Lai , Andrej Risteski

We study optimal regret bounds for control in linear dynamical systems under adversarially changing strongly convex cost functions, given the knowledge of transition dynamics. This includes several well studied and fundamental frameworks…

机器学习 · 计算机科学 2019-09-12 Naman Agarwal , Elad Hazan , Karan Singh

We study the problem of online multi-group learning, a learning model in which an online learner must simultaneously achieve small prediction regret on a large collection of (possibly overlapping) subsequences corresponding to a family of…

机器学习 · 计算机科学 2025-07-16 Samuel Deng , Daniel Hsu , Jingwen Liu

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 a two-sided market, wherein, price-sensitive heterogeneous customers and servers arrive and join their respective queues. A compatible customer-server pair can then be matched by the platform, at which point, they leave the system.…

机器学习 · 计算机科学 2025-10-17 Zixian Yang , Sushil Mahavir Varma , Lei Ying

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

We consider online and PAC learning of Littlestone classes subject to the constraint of approximate differential privacy. Our main result is a private learner to online-learn a Littlestone class with a mistake bound of…

机器学习 · 统计学 2025-10-02 Xin Lyu

We study online active learning for classifying streaming instances within the framework of statistical learning theory. At each time, the learner either queries the label of the current instance or predicts the label based on past seen…

机器学习 · 计算机科学 2020-11-17 Boshuang Huang , Sudeep Salgia , Qing Zhao

We study online learning in the random-order model, where the multiset of loss functions is chosen adversarially but revealed in a uniformly random order. By extending the batch-to-online transformation of Dong and Yoshida (2023), we show…

机器学习 · 统计学 2026-05-11 Shinsaku Sakaue , Yuichi Yoshida