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Optimization problems with the objective function in the form of weighted sum and linear equality constraints are considered. Given that the number of local cost functions can be large as well as the number of constraints, a stochastic…

最优化与控制 · 数学 2026-05-26 Nataša Krejić , Nataša Krklec Jerinkić , Sanja Rapajić , Luka Rutešić

The cross-entropy (CE) method is a popular stochastic method for optimization due to its simplicity and effectiveness. Designed for rare-event simulations where the probability of a target event occurring is relatively small, the CE-method…

机器学习 · 计算机科学 2020-09-22 Robert J. Moss

In this paper, we study the problem of optimizing the size and mix of a mixed fleet of electric and conventional vehicles owned by firms providing urban freight logistics services. Uncertain customer requests are considered at the strategic…

最优化与控制 · 数学 2020-09-03 Satya S. Malladi , Jonas M. Christensen , David Ramrez , Allan Larsen , Dario Pacino

The ever-increasing integration of stochastic renewable energy sources into power systems operation is making the supply-demand balance more challenging. While joint chance-constrained methods are equipped to model these complexities and…

系统与控制 · 电气工程与系统科学 2025-01-23 Meiyi Li , Javad Mohammadi

The integration of storage and renewable resources fundamentally alters resource-adequacy analysis. Because storage couples decisions across time, it invalidates the traditional reliability models that are based on time-independent capacity…

最优化与控制 · 数学 2026-03-05 Baptiste Rabecq , Andy Sun , Feng Zhao , Tongxin Zheng , Xiaochu Wang , Yufan Zhang

We develop a principled approach to end-to-end learning in stochastic optimization. First, we show that the standard end-to-end learning algorithm admits a Bayesian interpretation and trains a posterior Bayes action map. Building on the…

最优化与控制 · 数学 2023-06-13 Yves Rychener , Daniel Kuhn , Tobias Sutter

This paper describes an expectation propagation (EP) method for multi-class classification with Gaussian processes that scales well to very large datasets. In such a method the estimate of the log-marginal-likelihood involves a sum across…

机器学习 · 统计学 2017-06-23 Carlos Villacampa-Calvo , Daniel Hernández-Lobato

Motivated by a wide variety of applications, this paper introduces a general class of networks of stochastic loss systems in which congestion renders lost revenue due to customers or jobs being permanently removed from the system. We seek…

网络与互联网体系结构 · 计算机科学 2022-05-12 Brendan Patch , Mark S. Squillante , Peter M. Van de Ven

This paper considers multiple binary hypothesis tests with adaptive allocation of sensing resources from a shared budget over a small number of stages. A Bayesian formulation is provided for the multistage allocation problem of minimizing…

统计方法学 · 统计学 2014-11-05 Dennis Wei

The transient behavior of Automatic Generation Control (AGC) systems is a critical aspect of power system operation. Therefore, fully extracting the potential of Battery Energy Storage Systems (BESSs) for AGC enhancement is of paramount…

系统与控制 · 电气工程与系统科学 2025-09-27 Yiqiao Xu , Alessandra Parisio , Zhongguo Li , Zhen Dong , Zhengtao Ding

We develop and analyze a method for stochastic simulation optimization based on Gaussian process models within a trust-region framework. We focus on settings where the variance of the objective function is large, making accurate estimation…

最优化与控制 · 数学 2026-03-10 Mickael Binois , Jeffrey Larson

This paper investigates a generation expansion planning (GEP) problem encompassing renewable, thermal, and storage technologies while simultaneously optimizing market participation, operational expenditures, and capital investment. To…

最优化与控制 · 数学 2026-05-28 Jakub Rybka , Luca Santosuosso , Thomas Klatzer , Sonja Wogrin

Many global optimization algorithms of the memetic variety rely on some form of stochastic search, and yet they often lack a sound probabilistic basis. Without a recourse to the powerful tools of stochastic calculus, treading the fine…

Carbon Capture and Storage (CCS) stands as a pivotal technology for fostering a sustainable future. The process, which involves injecting supercritical CO$_2$ into underground formations, a method already widely used for Enhanced Oil…

机器学习 · 计算机科学 2026-05-05 Sofianos Panagiotis Fotias , Vassilis Gaganis

Bayesian optimization is a sequential method for minimizing objective functions that are expensive to evaluate and about which few assumptions can be made. By using all gathered data to train a Gaussian process model for the function and…

机器学习 · 计算机科学 2026-05-07 Jesse Schneider , William J. Welch

This letter considers optimizing user association in a heterogeneous network via utility maximization, which is a combinatorial optimization problem due to integer constraints. Different from existing solutions based on convex optimization,…

信息论 · 计算机科学 2018-06-12 Xietian Huang , Wei Xu , Guo Xie , Shi Jin , Xiaohu You

We study contextual stochastic optimization problems, where we leverage rich auxiliary observations (e.g., product characteristics) to improve decision making with uncertain variables (e.g., demand). We show how to train forest decision…

最优化与控制 · 数学 2022-03-17 Nathan Kallus , Xiaojie Mao

High-dimensional Bayesian optimization (BO) tasks such as molecular design often require 10,000 function evaluations before obtaining meaningful results. While methods like sparse variational Gaussian processes (SVGPs) reduce computational…

机器学习 · 计算机科学 2025-06-11 Natalie Maus , Kyurae Kim , Geoff Pleiss , David Eriksson , John P. Cunningham , Jacob R. Gardner

We propose a novel method for sampling and optimization tasks based on a stochastic interacting particle system. We explain how this method can be used for the following two goals: (i) generating approximate samples from a given target…

动力系统 · 数学 2021-11-05 J. A. Carrillo , F. Hoffmann , A. M. Stuart , U. Vaes

This paper deals with the identification of linear stochastic dynamical systems, where the unknowns include system coefficients and noise variances. Conventional approaches that rely on the maximum likelihood estimation (MLE) require…

机器学习 · 统计学 2025-08-18 Jinwen Xu , Qin Lu , Yaakov Bar-Shalom