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Mapping near-field pollutant concentration is essential to track accidental toxic plume dispersion in urban areas. By solving a large part of the turbulence spectrum, large-eddy simulations (LES) have the potential to accurately represent…

机器学习 · 统计学 2022-08-03 Bastien X Nony , Mélanie Rochoux , Thomas Jaravel , Didier Lucor

A novel simulation strategy is proposed to search for semiconductor quantum devices which are optimized with respect to required performances. Based on evolutionary programming, a tecnique implementing the paradigm of genetic algorithms to…

材料科学 · 物理学 2009-10-31 Guido Goldoni , Fausto Rossi

We propose a new stochastic optimization framework for empirical risk minimization problems such as those that arise in machine learning. The traditional approaches, such as (mini-batch) stochastic gradient descent (SGD), utilize an…

机器学习 · 统计学 2020-02-04 Kenji Kawaguchi , Haihao Lu

Semidefinite programs are optimization methods with a wide array of applications, such as approximating difficult combinatorial problems. One such semidefinite program is the Goemans-Williamson algorithm, a popular integer relaxation…

量子物理 · 物理学 2023-07-19 Taylor L. Patti , Jean Kossaifi , Anima Anandkumar , Susanne F. Yelin

We develop a fast and scalable computational framework to solve large-scale and high-dimensional Bayesian optimal experimental design problems. In particular, we consider the problem of optimal observation sensor placement for Bayesian…

数值分析 · 数学 2020-11-09 Keyi Wu , Peng Chen , Omar Ghattas

Digital twins require high-quality data to achieve predictive capability, but time and resource limitations make efficient experiment design essential. Model-based design of experiments can address this challenge, especially when coupled…

Distributed optimization methods are often applied to solving huge-scale problems like training neural networks with millions and even billions of parameters. In such applications, communicating full vectors, e.g., (stochastic) gradients,…

最优化与控制 · 数学 2022-05-31 Marina Danilova , Eduard Gorbunov

Ordinary differential equations (ODEs) are widely used to describe the time evolution of natural phenomena across various scientific fields. Estimating the parameters of these systems from data is a challenging task, particularly when…

数值分析 · 数学 2025-01-23 S. Syafiie , Aries Subiantoro , Vivi Andasari , Fernando Tadeo

Convex optimization over the spectrahedron, i.e., the set of all real $n\times n$ positive semidefinite matrices with unit trace, has important applications in machine learning, signal processing and statistics, mainly as a convex…

最优化与控制 · 数学 2022-11-01 Dan Garber , Atara Kaplan

This paper deals with the asymptotic behavior and FEM error analysis of a class of strongly damped wave equations using a semidiscrete finite element method in spatial directions combined with a finite difference scheme in the time…

数值分析 · 数学 2025-11-03 Krishan Kumar , P. Danumjaya , Anil Kumar , Amiya K. Pani

Optimal modulation (OM) schemes for Gaussian channels with peak and average power constraints are known to require nonuniform probability distributions over signal points, which presents practical challenges. An established way to map…

信息论 · 计算机科学 2022-11-01 Basak Ozaydin , Muriel Médard , Ken Duffy

The Variation Evolving Method (VEM), which seeks the optimal solutions with the variation evolution principle, is further developed to be more flexible in solving the Optimal Control Problems (OCPs) with terminal constraint. With the…

系统与控制 · 计算机科学 2018-02-01 Sheng Zhang , Kai-Feng He , Fei Liao

Extended Dynamic Mode Decomposition (EDMD) is a widely-used data-driven approach to learn an approximation of the Koopman operator. Consequently, it provides a powerful tool for data-driven analysis, prediction, and control of nonlinear…

系统与控制 · 电气工程与系统科学 2024-08-23 Yang Guo , Manuel Schaller , Karl Worthmann , Stefan Streif

In this paper is proposed a new heuristic approach belonging to the field of evolutionary Estimation of Distribution Algorithms (EDAs). EDAs builds a probability model and a set of solutions is sampled from the model which characterizes the…

Accurate terminal-voltage prediction underpins model-based battery management, yet low-order equivalent-circuit models (\ecm{}) lack expressiveness under transient conditions, whereas purely data-driven predictors sacrifice interpretability…

系统与控制 · 电气工程与系统科学 2026-05-08 Alexandre Barbosa de Lima , Roberta Vieira Raggi

Bayesian optimal design is considered for experiments where the response distribution depends on the solution to a system of non-linear ordinary differential equations. The motivation is an experiment to estimate parameters in the equations…

统计方法学 · 统计学 2019-05-02 Antony Overstall , David Woods , Ben Parker

We present variational sequential optimal experimental design (vsOED), a novel method for optimally designing a finite sequence of experiments within a Bayesian framework with information-theoretic criteria. vsOED employs a one-point reward…

机器学习 · 统计学 2026-04-08 Wanggang Shen , Jiayuan Dong , Xun Huan

Under the Neyman causal model, it is well-known that OLS with treatment-by-covariate interactions cannot harm asymptotic precision of estimated treatment effects in completely randomized experiments. But do such guarantees extend to…

统计理论 · 数学 2018-03-19 Joel A. Middleton

The Gaussian Effective Potential (GEP) is shown to be a useful variational tool for the study of the magnetic properties of strongly correlated electronic systems. The GEP is derived for a single band Hubbard model on a two-dimensional…

强关联电子 · 物理学 2012-07-10 Luca Marotta , Fabio Siringo

Efficient parameter identification of electrochemical models is crucial for accurate monitoring and control of lithium-ion cells. This process becomes challenging when applied to complex models that rely on a considerable number of…

系统与控制 · 电气工程与系统科学 2024-05-20 Jianzong Pi , Samuel Filgueira da Silva , Mehmet Fatih Ozkan , Abhishek Gupta , Marcello Canova