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We analyze the minimax regret of the adversarial bandit convex optimization problem. Focusing on the one-dimensional case, we prove that the minimax regret is $\widetilde\Theta(\sqrt{T})$ and partially resolve a decade-old open problem. Our…

机器学习 · 计算机科学 2015-02-24 Sébastien Bubeck , Ofer Dekel , Tomer Koren , Yuval Peres

Thompson sampling provides a solution to bandit problems in which new observations are allocated to arms with the posterior probability that an arm is optimal. While sometimes easy to implement and asymptotically optimal, Thompson sampling…

机器学习 · 计算机科学 2014-10-16 Dean Eckles , Maurits Kaptein

The Latent Stochastic Differential Equation (SDE) is a powerful tool for time series and sequence modeling. However, training Latent SDEs typically relies on adjoint sensitivity methods, which depend on simulation and backpropagation…

机器学习 · 统计学 2025-06-27 Grigory Bartosh , Dmitry Vetrov , Christian A. Naesseth

Bolt defect detection is critical to ensure the safety of transmission lines. However, the scarcity of defect images and imbalanced data distributions significantly limit detection performance. To address this problem, we propose a…

计算机视觉与模式识别 · 计算机科学 2026-01-23 Yangjie Xiao , Ke Zhang , Jiacun Wang , Xin Sheng , Yurong Guo , Meijuan Chen , Zehua Ren , Zhaoye Zheng , Zhenbing Zhao

We study the problem of online learning in contextual bandit problems where the loss function is assumed to belong to a known parametric function class. We propose a new analytic framework for this setting that bridges the Bayesian theory…

机器学习 · 计算机科学 2024-06-28 Gergely Neu , Matteo Papini , Ludovic Schwartz

In settings where the application of reinforcement learning (RL) requires running real-world trials, including the optimization of adaptive health interventions, the number of episodes available for learning can be severely limited due to…

机器学习 · 计算机科学 2024-12-03 Karine Karine , Susan A. Murphy , Benjamin M. Marlin

Thompson Sampling is a well established approach to bandit and reinforcement learning problems. However its use in continuum armed bandit problems has received relatively little attention. We provide the first bounds on the regret of…

机器学习 · 计算机科学 2020-02-27 James A. Grant , David S. Leslie

Speculative decoding has emerged as a popular method to accelerate the inference of Large Language Models (LLMs) while retaining their superior text generation performance. Previous methods either adopt a fixed speculative decoding…

机器学习 · 计算机科学 2025-11-21 Yunlong Hou , Fengzhuo Zhang , Cunxiao Du , Xuan Zhang , Jiachun Pan , Tianyu Pang , Chao Du , Vincent Y. F. Tan , Zhuoran Yang

Detecting plagiarism involves finding similar items in two different sources. In this article, we propose a novel method for detecting plagiarism that is based on attention mechanism-based long short-term memory (LSTM) and bidirectional…

计算与语言 · 计算机科学 2023-05-05 Seyed Vahid Moravvej , Seyed Jalaleddin Mousavirad , Diego Oliva , Fardin Mohammadi

This work studies linear bandits under a new notion of gap-adjusted misspecification and is an extension of Liu et al. (2023). When the underlying reward function is not linear, existing linear bandits work usually relies on a uniform…

机器学习 · 计算机科学 2025-01-10 Chong Liu , Dan Qiao , Ming Yin , Ilija Bogunovic , Yu-Xiang Wang

We discuss a multiple-play multi-armed bandit (MAB) problem in which several arms are selected at each round. Recently, Thompson sampling (TS), a randomized algorithm with a Bayesian spirit, has attracted much attention for its empirically…

机器学习 · 统计学 2019-03-22 Junpei Komiyama , Junya Honda , Hiroshi Nakagawa

Sequential decision-making is central to sustainable agricultural management and precision agriculture, where resource inputs must be optimized under uncertainty and over time. However, such decisions must often be made with limited…

机器学习 · 统计学 2026-02-24 Sakshi Arya , Wentao Lin

Operator learning for time-dependent partial differential equations (PDEs) has seen rapid progress in recent years, enabling efficient approximation of complex spatiotemporal dynamics. However, most existing methods rely on fixed time step…

机器学习 · 计算机科学 2025-10-07 Zhikai Wu , Sifan Wang , Shiyang Zhang , Sizhuang He , Min Zhu , Anran Jiao , Lu Lu , David van Dijk

Thompson Sampling provides an efficient technique to introduce prior knowledge in the multi-armed bandit problem, along with providing remarkable empirical performance. In this paper, we revisit the Thompson Sampling algorithm under rewards…

机器学习 · 计算机科学 2019-12-09 Abhimanyu Dubey , Alex Pentland

We conduct a first fundamental analysis of the working principles of binary differential evolution (BDE), an optimization heuristic for binary decision variables that was derived by Gong and Tuson (2007) from the very successful classic…

神经与进化计算 · 计算机科学 2019-11-06 Benjamin Doerr , Weijie Zheng

We study high-dimensional multi-armed contextual bandits with batched feedback where the $T$ steps of online interactions are divided into $L$ batches. In specific, each batch collects data according to a policy that depends on previous…

机器学习 · 统计学 2023-11-27 Jianqing Fan , Zhaoran Wang , Zhuoran Yang , Chenlu Ye

We propose Deterministic Sequencing of Exploration and Exploitation (DSEE) algorithm with interleaving exploration and exploitation epochs for model-based RL problems that aim to simultaneously learn the system model, i.e., a Markov…

机器学习 · 计算机科学 2022-12-21 Piyush Gupta , Vaibhav Srivastava

In stochastic bandit problems, a Bayesian policy called Thompson sampling (TS) has recently attracted much attention for its excellent empirical performance. However, the theoretical analysis of this policy is difficult and its asymptotic…

统计理论 · 数学 2013-11-11 Junya Honda , Akimichi Takemura

Stochastic linear bandits are a fundamental model for sequential decision making, where an agent selects a vector-valued action and receives a noisy reward with expected value given by an unknown linear function. Although well studied in…

机器学习 · 计算机科学 2025-06-23 Bruce Huang , Ruida Zhou , Lin F. Yang , Suhas Diggavi

We study a decentralized cooperative multi-agent multi-armed bandit problem with $K$ arms and $N$ agents connected over a network. In our model, each arm's reward distribution is same for all agents, and rewards are drawn independently…

机器学习 · 统计学 2020-10-29 Anusha Lalitha , Andrea Goldsmith