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Inspired by dynamic programming, we propose Stochastic Virtual Gradient Descent (SVGD) algorithm where the Virtual Gradient is defined by computational graph and automatic differentiation. The method is computationally efficient and has…

机器学习 · 计算机科学 2019-08-01 Zheng Li , Shi Shu

We study the generalized linear contextual bandit problem within the constraints of limited adaptivity. In this paper, we present two algorithms, $\texttt{B-GLinCB}$ and $\texttt{RS-GLinCB}$, that address, respectively, two prevalent…

机器学习 · 计算机科学 2025-10-29 Ayush Sawarni , Nirjhar Das , Siddharth Barman , Gaurav Sinha

Contextual dueling bandit is used to model the bandit problems, where a learner's goal is to find the best arm for a given context using observed noisy human preference feedback over the selected arms for the past contexts. However,…

机器学习 · 计算机科学 2025-04-17 Arun Verma , Zhongxiang Dai , Xiaoqiang Lin , Patrick Jaillet , Bryan Kian Hsiang Low

In this paper, we study sequential decision-making for maximizing the Sharpe ratio (SR) in a stochastic multi-armed bandit (MAB) setting. Unlike standard bandit formulations that maximize cumulative reward, SR optimization requires…

机器学习 · 计算机科学 2026-04-02 Mohammad Taha Shah , Sabrina Khurshid , Gourab Ghatak

We present a new algorithm based on an gradient ascent for a general Active Exploration bandit problem in the fixed confidence setting. This problem encompasses several well studied problems such that the Best Arm Identification or…

机器学习 · 统计学 2019-05-21 Pierre Ménard

Online decision-making can be formulated as the popular stochastic multi-armed bandit problem where a learner makes decisions (or takes actions) to maximize cumulative rewards collected from an unknown environment. This paper proposes to…

系统与控制 · 电气工程与系统科学 2025-11-26 Jonathan Gornet , Mehdi Hosseinzadeh , Bruno Sinopoli

Stochastic Gradient Descent (SGD) is an out-of-equilibrium algorithm used extensively to train artificial neural networks. However very little is known on to what extent SGD is crucial for to the success of this technology and, in…

机器学习 · 计算机科学 2023-12-19 Persia Jana Kamali , Pierfrancesco Urbani

Non-stationarity is ubiquitous in human behavior and addressing it in the contextual bandits is challenging. Several works have addressed the problem by investigating semi-parametric contextual bandits and warned that ignoring…

机器学习 · 统计学 2022-05-18 Young-Geun Choi , Gi-Soo Kim , Seunghoon Paik , Myunghee Cho Paik

Stochastic gradient descent (SGD) is commonly used for optimization in large-scale machine learning problems. Langford et al. (2009) introduce a sparse online learning method to induce sparsity via truncated gradient. With high-dimensional…

机器学习 · 统计学 2017-05-10 Yuting Ma , Tian Zheng

Information-directed sampling (IDS) is a powerful framework for solving bandit problems which has shown strong results in both Bayesian and frequentist settings. However, frequentist IDS, like many other bandit algorithms, requires that one…

机器学习 · 统计学 2025-03-10 Piotr M. Suder , Eric Laber

Machine learning models trained with \emph{stochastic} gradient descent (SGD) can generalize better than those trained with deterministic gradient descent (GD). In this work, we study SGD's impact on generalization through the lens of the…

机器学习 · 计算机科学 2025-12-09 Hongjian Lan , Yucong Liu , Florian Schäfer

In this paper, we propose a novel kernel stochastic gradient descent (SGD) algorithm for large-scale supervised learning with general losses. Compared to traditional kernel SGD, our algorithm improves efficiency and scalability through an…

机器学习 · 计算机科学 2026-04-28 Jinhui Bai , Andreas Christmann , Lei Shi

The stochastic multi-arm bandit problem has been extensively studied under standard assumptions on the arm's distribution (e.g bounded with known support, exponential family, etc). These assumptions are suitable for many real-world problems…

机器学习 · 统计学 2021-11-19 Dorian Baudry , Patrick Saux , Odalric-Ambrym Maillard

In many bandit problems, the maximal reward achievable by a policy is often unknown in advance. We consider the problem of estimating the optimal policy value in the sublinear data regime before the optimal policy is even learnable. We…

机器学习 · 计算机科学 2023-02-21 Jonathan N. Lee , Weihao Kong , Aldo Pacchiano , Vidya Muthukumar , Emma Brunskill

We introduce the problem of model selection for contextual bandits, where a learner must adapt to the complexity of the optimal policy while balancing exploration and exploitation. Our main result is a new model selection guarantee for…

机器学习 · 计算机科学 2019-11-15 Dylan J. Foster , Akshay Krishnamurthy , Haipeng Luo

Stochastic Gradient Descent (SGD) is one of the simplest and most popular stochastic optimization methods. While it has already been theoretically studied for decades, the classical analysis usually required non-trivial smoothness…

机器学习 · 计算机科学 2013-01-01 Ohad Shamir , Tong Zhang

Contemporary applications, such as recommendation systems and mobile health monitoring, require real-time processing and analysis of sequentially arriving high-dimensional tensor data. Traditional offline learning, involving the storage and…

机器学习 · 统计学 2026-02-16 Xin Wen , Will Wei Sun , Yichen Zhang

We study multi-armed bandit problems with graph feedback, in which the decision maker is allowed to observe the neighboring actions of the chosen action, in a setting where the graph may vary over time and is never fully revealed to the…

机器学习 · 统计学 2018-05-24 Fang Liu , Zizhan Zheng , Ness Shroff

Gradient descent algorithm is the most utilized method when optimizing machine learning issues. However, there exists many local minimums and saddle points in the loss function, especially for high dimensional non-convex optimization…

机器学习 · 计算机科学 2021-07-19 Zhicheng Cai

Online Learning to Rank (OLTR) methods optimize ranking models by directly interacting with users, which allows them to be very efficient and responsive. All OLTR methods introduced during the past decade have extended on the original OLTR…

信息检索 · 计算机科学 2019-01-30 Harrie Oosterhuis , Maarten de Rijke