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This paper considers simulation-based optimization of the performance of a regime-switching stochastic system over a finite set of feasible configurations. Inspired by the stochastic fictitious play learning rules in game theory, we propose…

最优化与控制 · 数学 2016-11-18 Omid Namvar Gharehshiran , Vikram Krishnamurthy , George Yin

Markov Chain Monte Carlo (MCMC) methods sample from unnormalized probability distributions and offer guarantees of exact sampling. However, in the continuous case, unfavorable geometry of the target distribution can greatly limit the…

机器学习 · 统计学 2020-10-09 Zengyi Li , Yubei Chen , Friedrich T. Sommer

The paper studies a distributed constrained optimization problem, where multiple agents connected in a network collectively minimize the sum of individual objective functions subject to a global constraint being an intersection of the local…

最优化与控制 · 数学 2016-03-08 Jinlong Lei , Han-Fu Chen , Hai-Tao Fang

In this article we consider computing expectations w.r.t.~probability laws associated to a certain class of stochastic systems. In order to achieve such a task, one must not only resort to numerical approximation of the expectation, but…

统计计算 · 统计学 2017-10-30 Ajay Jasra , Kengo Kamatani , Kody Law , Yan Zhou

To solve real-world expensive constrained multi-objective optimization problems (ECMOPs), surrogate/approximation models are commonly incorporated in evolutionary algorithms to pre-select promising candidate solutions for evaluation.…

神经与进化计算 · 计算机科学 2024-05-24 Kamrul Hasan Rahi

In this paper, a stochastic approximation (SA) based distributed algorithm is proposed to solve the resource allocation (RA) with uncertainties. In this problem, a group of agents cooperatively optimize a separable optimization problem with…

最优化与控制 · 数学 2016-11-01 Peng Yi , Jinlong Lei , Yiguang Hong

In this paper, we are interested in optimal decisions in a partially observable Markov universe. Our viewpoint departs from the dynamic programming viewpoint: we are directly approximating an optimal strategic tree depending on the…

综合数学 · 数学 2007-05-23 Frederic Dambreville

We formulate an optimal stopping problem for a geometric Brownian motion where the probability scale is distorted by a general nonlinear function. The problem is inherently time inconsistent due to the Choquet integration involved. We…

概率论 · 数学 2022-01-07 Zuo Quan Xu , Xun Yu Zhou

There is much interest in using partially observable Markov decision processes (POMDPs) as a formal model for planning in stochastic domains. This paper is concerned with finding optimal policies for POMDPs. We propose several improvements…

人工智能 · 计算机科学 2013-02-01 Nevin Lianwen Zhang , Stephen S. Lee

The vertical handover decision is considered an NP-Hard problem. For that reason, a large variety of vertical handoff algorithms (VHA) have been proposed to help the user to select dynamically the best access network in terms of quality of…

网络与互联网体系结构 · 计算机科学 2012-06-11 Mohamed Lahby , Leghris Cherkaoui , Abdellah Adib

A new notion of stochastic ordering is introduced to compare multivariate stochastic risk models with respect to extreme portfolio losses. In the framework of multivariate regular variation comparison criteria are derived in terms of…

风险管理 · 定量金融 2010-10-26 Georg Mainik , Ludger Rüschendorf

Random projection algorithm is an iterative gradient method with random projections. Such an algorithm is of interest for constrained optimization when the constraint set is not known in advance or the projection operation on the whole…

最优化与控制 · 数学 2013-05-02 Soomin Lee , Angelia Nedich

In real-world Bayesian inference applications, prior assumptions regarding the parameters of interest may be unrepresentative of their actual values for a given dataset. In particular, if the likelihood is concentrated far out in the wings…

统计计算 · 统计学 2018-11-01 Xi Chen , Mike Hobson , Saptarshi Das , Paul Gelderblom

This paper deals with the Stochastic Capacitated Arc Routing Problem (SCARP), obtained by randomizing quantities on the arcs in the CARP. Optimization problems for the SCARP are characterized by decisions that are made without knowing their…

神经与进化计算 · 计算机科学 2022-11-24 Fleury Gérard , Lacomme Philippe , Christian Prins

We are concerned with a novel Bayesian statistical framework for the characterization of natural subsurface formations, a very challenging task. Because of the large dimension of the stochastic space of the prior distribution in the…

数值分析 · 数学 2023-02-23 Alsadig Ali , Abdullah Al-Mamun , Felipe Pereira , Arunasalam Rahunanthan

Particle swarm optimization (PSO) is a search algorithm based on stochastic and population-based adaptive optimization. In this paper, a pathfinding strategy is proposed to improve the efficiency of path planning for a broad range of…

神经与进化计算 · 计算机科学 2022-06-24 David , Budi Adiperdana

Optimization under uncertainty deals with the problem of optimizing stochastic cost functions given some partial information on their inputs. These problems are extremely difficult to solve and yet pervade all areas of technological and…

The main feature of the Dynamic Multi-objective Optimization Problems (DMOPs) is that optimization objective functions will change with times or environments. One of the promising approaches for solving the DMOPs is reusing the obtained…

神经与进化计算 · 计算机科学 2019-10-22 Weizhen Hu , Min Jiang , Xing Gao , Kay Chen Tan , Yiu-ming Cheung

The problem we consider is a multi-objective optimization problem, in which the goal is to find an optimal value of a vector function representing various criteria. The aim of this work is to develop an algorithm which utilizes the trust…

最优化与控制 · 数学 2026-05-15 Nataša Krejić , Nataša Krklec Jerinkić , Luka Rutešić

We consider the problem of online planning in a Markov Decision Process when given only access to a generative model, restricted to open-loop policies - i.e. sequences of actions - and under budget constraint. In this setting, the Open-Loop…

机器学习 · 计算机科学 2019-04-10 Edouard Leurent , Odalric-Ambrym Maillard