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This paper presents a framework of imitating the principal investor's behavior for optimal pricing and hedging options. We construct a non-deterministic Markov decision process for modeling stock price change driven by the principal…

证券定价 · 定量金融 2022-01-14 Xin Jin

Consider the problem of approximating the optimal policy of a Markov decision process (MDP) by sampling state transitions. In contrast to existing reinforcement learning methods that are based on successive approximations to the nonlinear…

机器学习 · 计算机科学 2017-10-18 Mengdi Wang

We study online weighted bipartite matching of reusable resources where an adversarial sequence of requests for resources arrive over time. A resource that is matched is 'used' for a random duration, drawn independently from a…

数据结构与算法 · 计算机科学 2023-04-10 Jackie Baek , Shixin Wang

In this paper, we consider the problem of real-time transmission scheduling over time-varying channels. We first formulate the transmission scheduling problem as a Markov decision process (MDP) and systematically unravel the structural…

机器学习 · 计算机科学 2010-03-15 Fangwen Fu , Mihaela van der Schaar

We consider the *adaptive influence maximization problem*: given a network and a budget $k$, iteratively select $k$ seeds in the network to maximize the expected number of adopters. In the *full-adoption feedback model*, after selecting…

社会与信息网络 · 计算机科学 2022-06-15 Wei Chen , Binghui Peng , Grant Schoenebeck , Biaoshuai Tao

Solving stochastic optimization problems under partial observability, where one needs to adaptively make decisions with uncertain outcomes, is a fundamental but notoriously difficult challenge. In this paper, we introduce the concept of…

机器学习 · 计算机科学 2017-12-07 Daniel Golovin , Andreas Krause

Optimal experimental design (OED) concerns itself with identifying ideal methods of data collection, e.g.~via sensor placement. The \emph{greedy algorithm}, that is, placing one sensor at a time, in an iteratively optimal manner, stands as…

最优化与控制 · 数学 2025-10-15 Christian Aarset

We consider optimal sensor placement for a family of linear Bayesian inverse problems characterized by a deterministic hyper-parameter. The hyper-parameter describes distinct configurations in which measurements can be taken of the observed…

数值分析 · 数学 2023-01-31 Nicole Aretz , Peng Chen , Denise Degen , Karen Veroy

Optimal control in non-stationary Markov decision processes (MDP) is a challenging problem. The aim in such a control problem is to maximize the long-term discounted reward when the transition dynamics or the reward function can change over…

应用统计 · 统计学 2017-03-03 Taposh Banerjee , Miao Liu , Jonathan P. How

We consider the task of learning a parametric Continuous Time Markov Chain (CTMC) sequence model without examples of sequences, where the training data consists entirely of aggregate steady-state statistics. Making the problem harder, we…

机器学习 · 计算机科学 2020-02-18 Jianfei Gao , Mohamed A. Zahran , Amit Sheoran , Sonia Fahmy , Bruno Ribeiro

We study the problem of online learning in a class of Markov decision processes known as linearly solvable MDPs. In the stationary version of this problem, a learner interacts with its environment by directly controlling the state…

机器学习 · 计算机科学 2017-06-07 Gergely Neu , Vicenç Gómez

Controllable Markov chains describe the dynamics of sequential decision making tasks and are the central component in optimal control and reinforcement learning. In this work, we give the general form of an optimal policy for learning…

机器学习 · 计算机科学 2025-12-24 Peter N. Loxley

Collective communications are ubiquitous in parallel applications. We present two new algorithms for performing a reduction. The operation associated with our reduction needs to be associative and commutative. The two algorithms are…

分布式、并行与集群计算 · 计算机科学 2013-10-18 Bradley R. Lowery , Julien Langou

Production systems deteriorate stochastically due to usage and may eventually break down, resulting in high maintenance costs at scheduled maintenance moments. This deterioration behavior is affected by the system's production rate. While…

最优化与控制 · 数学 2023-12-07 Collin Drent , Melvin Drent , Joachim Arts

Policy gradient methods are among the most effective methods in challenging reinforcement learning problems with large state and/or action spaces. However, little is known about even their most basic theoretical convergence properties,…

机器学习 · 计算机科学 2020-10-16 Alekh Agarwal , Sham M. Kakade , Jason D. Lee , Gaurav Mahajan

We study the problem of selecting a subset of vectors from a large set, to obtain the best signal representation over a family of functions. Although greedy methods have been widely used for tackling this problem and many of those have been…

信号处理 · 电气工程与系统科学 2023-05-16 Ehsan Tohidi , Mario Coutino , David Gesbert

This paper is devoted to studying constrained continuous-time Markov decision processes (MDPs) in the class of randomized policies depending on state histories. The transition rates may be unbounded, the reward and costs are admitted to be…

概率论 · 数学 2012-01-04 Xianping Guo , Xinyuan Song

We study a remote estimation setup with an autoregressive (AR) Markov process, a sensor, and a remote estimator. The sensor observes the process and sends encoded observations to the estimator as packets over an unreliable communication…

最优化与控制 · 数学 2025-12-29 Manali Dutta , Rahul Singh , Shalabh Bhatnagar

Motivated by the increasing importance of providing delay-guaranteed services in general computing and communication systems, and the recent wide adoption of learning and prediction in network control, in this work, we consider a general…

网络与互联网体系结构 · 计算机科学 2018-01-08 Kun Chen , Longbo Huang

We address the problem of policy evaluation in discounted Markov decision processes, and provide instance-dependent guarantees on the $\ell_\infty$-error under a generative model. We establish both asymptotic and non-asymptotic versions of…

机器学习 · 统计学 2020-03-17 Koulik Khamaru , Ashwin Pananjady , Feng Ruan , Martin J. Wainwright , Michael I. Jordan