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Stochastic approximation methods play a central role in maximum likelihood estimation problems involving intractable likelihood functions, such as marginal likelihoods arising in problems with missing or incomplete data, and in parametric…

统计计算 · 统计学 2020-06-02 Valentin De Bortoli , Alain Durmus , Marcelo Pereyra , Ana F. Vidal

This paper deals with the optimization of industrial asset management strategies, whose profitability is characterized by the Net Present Value (NPV) indicator which is assessed by a Monte Carlo simulator. The developed method consists in…

统计方法学 · 统计学 2016-05-04 Thomas Browne , Bertrand Iooss , Loïc Le Gratiet , Jérôme Lonchampt , Emmanuel Remy

This paper investigates a multi-product stochastic inventory problem in which a cash-constrained online retailer can adopt order-based loan provided by some Chinese e-commerce platforms to speed up its cash recovery for deferred revenue. We…

最优化与控制 · 数学 2020-12-10 Zhen Chen , Ren-qian Zhang

We consider the problem of designing an expected-revenue maximizing mechanism for allocating multiple non-perishable goods of $k$ varieties to flexible consumers over $T$ time steps. In our model, a random number of goods of each variety…

计算机科学与博弈论 · 计算机科学 2020-07-08 Shiva Navabi , Ashutosh Nayyar

Traditional statistical estimation, or statistical inference in general, is static, in the sense that the estimate of the quantity of interest does not change the future evolution of the quantity. In some sequential estimation problems…

机器学习 · 计算机科学 2021-12-01 Aolin Xu

The increase in complexity of autonomous systems is accompanied by a need of data-driven development and validation strategies. Advances in computer graphics and cloud clusters have opened the way to massive parallel high fidelity…

机器学习 · 计算机科学 2023-01-05 Osama Maqbool , Jürgen Roßmann

We present novel mathematical models for inventory management within a reverse logistics system. Technological advancements, sustainability initiatives, and evolving customer behaviours have significantly increased the demand for repaired…

最优化与控制 · 数学 2024-06-21 I. B. Wadhawan , M. M. Rizvi

Since its inception in the mid-60s, the inventory staggering problem has been explored and exploited in a wide range of application domains, such as production planning, stock control systems, warehousing, and aerospace/defense logistics.…

数据结构与算法 · 计算机科学 2025-06-13 Noga Alon , Danny Segev

Much recent research has been conducted in the area of Bayesian learning, particularly with regard to the optimization of hyper-parameters via Gaussian process regression. The methodologies rely chiefly on the method of maximizing the…

机器学习 · 统计学 2014-05-13 James Brofos

Recent low-thrust space missions have highlighted the importance of designing trajectories that are robust against uncertainties. In its complete form, this process is formulated as a nonlinear constrained stochastic optimal control…

最优化与控制 · 数学 2022-02-25 Naoya Ozaki , Stefano Campagnola , Ryu Funase

In predictive modeling with simulation or machine learning, it is critical to accurately assess the quality of estimated values through output analysis. In recent decades output analysis has become enriched with methods that quantify the…

统计方法学 · 统计学 2023-10-27 Kimia Vahdat , Sara Shashaani

Bayesian model-based reinforcement learning is a formally elegant approach to learning optimal behaviour under model uncertainty, trading off exploration and exploitation in an ideal way. Unfortunately, finding the resulting Bayes-optimal…

机器学习 · 计算机科学 2015-03-20 Arthur Guez , David Silver , Peter Dayan

Efficient sampling from constraint manifolds, and thereby generating a diverse set of solutions for feasibility problems, is a fundamental challenge. We consider the case where a problem is factored, that is, the underlying nonlinear…

机器人学 · 计算机科学 2021-03-30 Joaquim Ortiz-Haro , Valentin N. Hartmann , Ozgur S. Oguz , Marc Toussaint

In this paper, we propose a mathematical formulation for the management of an oil production network as a multistage optimization problem. The reservoir is modeled as a controlled dynamical system by using material balance equations. We use…

Discovering novel materials with desired properties is essential for driving innovation. Industry 4.0 and smart manufacturing have promised transformative advances in this area through real-time data integration and automated production…

机器学习 · 计算机科学 2025-04-08 Avijit Saha Asru , Hamed Khosravi , Imtiaz Ahmed , Abdullahil Azeem

We consider selecting the top-$m$ alternatives from a finite number of alternatives via Monte Carlo simulation. Under a Bayesian framework, we formulate the sampling decision as a stochastic dynamic programming problem, and develop a…

最优化与控制 · 数学 2023-08-22 Gongbo Zhang , Yijie Peng , Jianghua Zhang , Enlu Zhou

In many situations, simulation models are developed to handle complex real-world business optimisation problems. For example, a discrete-event simulation model is used to simulate the trailer management process in a big Fast-Moving Consumer…

神经与进化计算 · 计算机科学 2019-07-18 Dylan Rijnen , Jason Rhuggenaath , Paulo R. de O. da Costa , Yingqian Zhang

Identifying and calibrating quantitative dynamical models for physical quantum systems is important for a variety of applications. Here we present a closed-loop Bayesian learning algorithm for estimating multiple unknown parameters in a…

Dynamic Bayesian predictive synthesis is a formal approach to coherently synthesizing multiple predictive distributions into a single distribution. In sequential analysis, the computation of the synthesized predictive distribution has…

统计方法学 · 统计学 2023-08-31 Riku Masuda , Kaoru Irie

We introduce a variational algorithm to estimate the likelihood of a rare event within a nonequilibrium molecular dynamics simulation through the evaluation of an optimal control force. Optimization of a control force within a chosen basis…

统计力学 · 物理学 2021-01-14 Avishek Das , David T. Limmer