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Deterministic computational modeling of laser powder bed fusion (LPBF) process fails to capture irregularities and roughness of the scan track, unless expensive powder-scale analysis is used. In this work we developed a stochastic…

计算工程、金融与科学 · 计算机科学 2022-08-08 Yangfan Li , Ye Lu , Abdullah Al Amin , Wing Kam Liu

The paper presents a distributed model predictive control (DMPC) scheme for continuous-time nonlinear systems based on the alternating direction method of multipliers (ADMM). A stopping criterion in the ADMM algorithm limits the iterations…

最优化与控制 · 数学 2017-06-30 Anja Bestler , Knut Graichen

The stochastic simulation algorithm (SSA) and the corresponding Monte Carlo (MC) method are among the most common approaches for studying stochastic processes. They rely on knowledge of interevent probability density functions (PDFs) and on…

统计计算 · 统计学 2024-02-12 S. Rusconi , E. Akhmatskaya , D. Sokolovski , N. Ballard , J. C. de la Cal

Two-stage stochastic optimization is a framework for modeling uncertainty, where we have a probability distribution over possible realizations of the data, called scenarios, and decisions are taken in two stages: we make first-stage…

数据结构与算法 · 计算机科学 2023-10-25 Andre Linhares , Chaitanya Swamy

Distributed model fitting refers to the process of fitting a mathematical or statistical model to the data using distributed computing resources, such that computing tasks are divided among multiple interconnected computers or nodes, often…

统计计算 · 统计学 2024-06-04 Xiaofei Wu , Rongmei Liang , Fabio Roli , Marcello Pelillo , Jing Yuan

We propose a generic multistage stochastic model for the Alternating Current Optimal Power Flow (AC OPF) problem for radial distribution networks, to account for the random electricity production of renewable energy sources and dynamic…

最优化与控制 · 数学 2021-11-19 Maxime Grangereau , Wim van Ackooij , Stéphane Gaubert

We systematically review the Variational Optimization, Variational Inference and Stochastic Search perspectives on sampling-based dynamic optimization and discuss their connections to state-of-the-art optimizers and Stochastic Optimal…

最优化与控制 · 数学 2022-11-23 Ziyi Wang , Augustinos D. Saravanos , Hassan Almubarak , Oswin So , Evangelos A. Theodorou

An inexact accelerated stochastic Alternating Direction Method of Multipliers (AS-ADMM) scheme is developed for solving structured separable convex optimization problems with linear constraints. The objective function is the sum of a…

最优化与控制 · 数学 2020-10-27 Jianchao Bai , William W. Hager , Hongchao Zhang

The uncertainty of multiple power loads and renewable energy generations (PLREG) in power systems increases the complexity of power flow analysis for decision-makers. The chance-constrained method can be applied to model the optimization…

最优化与控制 · 数学 2021-11-12 Ren Hu , Qifeng Li

Annealed Sequential Monte Carlo (ASMC) samplers are special cases of SMC samplers where the sequence of distributions can be embedded in a smooth path of distributions. Using this underlying path and a performance model based on the…

统计计算 · 统计学 2025-12-03 Saifuddin Syed , Alexandre Bouchard-Côté , Kevin Chern , Arnaud Doucet

In this work we focus on the problem of minimizing the sum of convex cost functions in a distributed fashion over a peer-to-peer network. In particular, we are interested in the case in which communications between nodes are prone to…

最优化与控制 · 数学 2020-07-24 Nicola Bastianello , Ruggero Carli , Luca Schenato , Marco Todescato

Federated Learning is a popular distributed learning paradigm in machine learning. Meanwhile, composition optimization is an effective hierarchical learning model, which appears in many machine learning applications such as meta learning…

机器学习 · 计算机科学 2023-03-31 Feihu Huang

We address distributed learning problems, both nonconvex and convex, over undirected networks. In particular, we design a novel algorithm based on the distributed Alternating Direction Method of Multipliers (ADMM) to address the challenges…

机器学习 · 计算机科学 2026-03-23 Xiaoxing Ren , Nicola Bastianello , Karl H. Johansson , Thomas Parisini

The optimal power flow (OPF) problem is fundamental in power system operations and planning. Large-scale renewable penetration in distribution networks calls for real-time feedback control, and hence the need for fast and distributed…

最优化与控制 · 数学 2016-05-19 Qiuyu Peng , Steven H. Low

Model comparison for the purposes of selection, averaging and validation is a problem found throughout statistics. Within the Bayesian paradigm, these problems all require the calculation of the posterior probabilities of models within a…

统计方法学 · 统计学 2015-06-08 Yan Zhou , Adam M Johansen , John A D Aston

Stochastic collocation methods for approximating the solution of partial differential equations with random input data (e.g., coefficients and forcing terms) suffer from the curse of dimensionality whereby increases in the stochastic…

数值分析 · 数学 2014-05-23 Aretha L. Teckentrup , Peter Jantsch , Clayton G. Webster , Max Gunzburger

We present an analysis of an adaptive time-stepping scheme for the Super-Droplet Method (SDM), a Monte Carlo algorithm for simulating particle coagulation. SDM represents cloud droplets as weighted superdroplets, enabling high-fidelity…

大气与海洋物理 · 物理学 2025-09-09 Emma Ware , Piotr Bartman-Szwarc , Adele L. Igel , Sylwester Arabas

This paper presents a distributed stochastic model predictive control (SMPC) approach for large-scale linear systems with private and common uncertainties in a plug-and-play framework. Using the so-called scenario approach, the centralized…

最优化与控制 · 数学 2019-01-09 V. Rostampour , T. Keviczky

Distributed optimization consists of multiple computation nodes working together to minimize a common objective function through local computation iterations and network-constrained communication steps. In the context of robotics,…

机器人学 · 计算机科学 2021-03-25 Trevor Halsted , Ola Shorinwa , Javier Yu , Mac Schwager

Designing robust algorithms for the optimal power flow (OPF) problem is critical for the control of large-scale power systems under uncertainty. The chance-constrained OPF (CCOPF) problem provides a natural formulation of the trade-off…

最优化与控制 · 数学 2025-01-23 Eli Brock , Haixiang Zhang , Javad Lavaei , Somayeh Sojoudi