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We present AutoOED, an Optimal Experiment Design platform powered with automated machine learning to accelerate the discovery of optimal solutions. The platform solves multi-objective optimization problems in time- and data-efficient manner…

人工智能 · 计算机科学 2021-04-14 Yunsheng Tian , Mina Konaković Luković , Timothy Erps , Michael Foshey , Wojciech Matusik

We present a review of methods for optimal experimental design (OED) for Bayesian inverse problems governed by partial differential equations with infinite-dimensional parameters. The focus is on problems where one seeks to optimize the…

最优化与控制 · 数学 2021-02-01 Alen Alexanderian

PyOD is an open-source Python toolbox for performing scalable outlier detection on multivariate data. Uniquely, it provides access to a wide range of outlier detection algorithms, including established outlier ensembles and more recent…

机器学习 · 计算机科学 2019-06-12 Yue Zhao , Zain Nasrullah , Zheng Li

In this paper, we address the challenging problem of optimal experimental design (OED) of constrained inverse problems. We consider two OED formulations that allow reducing the experimental costs by minimizing the number of measurements.…

数值分析 · 数学 2017-08-17 Lars Ruthotto , Julianne Chung , Matthias Chung

We consider the utilization of a computational model to guide the optimal acquisition of experimental data to inform the stochastic description of model input parameters. Our formulation is based on the recently developed consistent…

统计计算 · 统计学 2021-05-04 Scott N. Walsh , Tim M. Wildey , John D. Jakeman

Optimal experimental design (OED) is the general formalism of sensor placement and decisions about the data collection strategy for engineered or natural experiments. This approach is prevalent in many critical fields such as battery…

最优化与控制 · 数学 2022-06-28 Ahmed Attia , Emil Constantinescu

We propose a control-oriented optimal experimental design (cOED) approach for linear PDE-constrained Bayesian inverse problems. In particular, we consider optimal control problems with uncertain parameters that need to be estimated by…

We consider optimal experimental design (OED) for Bayesian nonlinear inverse problems governed by partial differential equations (PDEs) under model uncertainty. Specifically, we consider inverse problems in which, in addition to the…

数值分析 · 数学 2024-07-03 Alen Alexanderian , Ruanui Nicholson , Noemi Petra

Bayesian Optimal Experimental Design (BOED) is a powerful tool to reduce the cost of running a sequence of experiments. When based on the Expected Information Gain (EIG), design optimization corresponds to the maximization of some…

机器学习 · 统计学 2025-03-14 Jacopo Iollo , Christophe Heinkelé , Pierre Alliez , Florence Forbes

Questions of `how best to acquire data' are essential to modeling and prediction in the natural and social sciences, engineering applications, and beyond. Optimal experimental design (OED) formalizes these questions and creates…

统计方法学 · 统计学 2026-05-01 Xun Huan , Jayanth Jagalur , Youssef Marzouk

We consider optimal experimental design (OED) for nonlinear inverse problems within the Bayesian framework. Optimizing the data acquisition process for large-scale nonlinear Bayesian inverse problems is a computationally challenging task…

数值分析 · 数学 2024-05-14 Karina Koval , Ruanui Nicholson

Optimal experimental design (OED) plays an important role in the problem of identifying uncertainty with limited experimental data. In many applications, we seek to minimize the uncertainty of a predicted quantity of interest (QoI) based on…

最优化与控制 · 数学 2022-01-06 Keyi Wu , Peng Chen , Omar Ghattas

We present an efficient method for computing A-optimal experimental designs for infinite-dimensional Bayesian linear inverse problems governed by partial differential equations (PDEs). Specifically, we address the problem of optimizing the…

统计计算 · 统计学 2014-05-29 Alen Alexanderian , Noemi Petra , Georg Stadler , Omar Ghattas

The ability to design effective experiments is crucial for obtaining data that can substantially reduce the uncertainty in the predictions made using computational models. An optimal experimental design (OED) refers to the choice of a…

统计方法学 · 统计学 2025-06-17 Troy Butler , John Jakeman , Michael Pilosov , Scott Walsh , Timothy Wildey

We address the problem of optimal experimental design (OED) for Bayesian nonlinear inverse problems governed by PDEs. The goal is to find a placement of sensors, at which experimental data are collected, so as to minimize the uncertainty in…

最优化与控制 · 数学 2015-11-04 Alen Alexanderian , Noemi Petra , Georg Stadler , Omar Ghattas

PyUnfold is a Python package for incorporating imperfections of the measurement process into a data analysis pipeline. In an ideal world, we would have access to the perfect detector: an apparatus that makes no error in measuring a desired…

数据分析、统计与概率 · 物理学 2018-06-12 James Bourbeau , Zigfried Hampel-Arias

We develop a framework for goal-oriented optimal design of experiments (GOODE) for large-scale Bayesian linear inverse problems governed by PDEs. This framework differs from classical Bayesian optimal design of experiments (ODE) in the…

计算工程、金融与科学 · 计算机科学 2018-08-15 Ahmed Attia , Alen Alexanderian , Arvind K. Saibaba

We consider robust optimal experimental design (ROED) for nonlinear Bayesian inverse problems governed by partial differential equations (PDEs). An optimal design is one that maximizes some utility quantifying the quality of the solution of…

数值分析 · 数学 2026-05-01 Abhijit Chowdhary , Ahmed Attia , Alen Alexanderian

Reliable parameter extraction from experimental data is central to quantitative analysis in spectroscopy, diffraction, photoluminescence, chromatography, microscopy, and time-resolved measurements. We present FitED, a Python-based desktop…

数据分析、统计与概率 · 物理学 2026-05-04 Mustafa Mahmoud Aboulsaad

A flexible and highly-extensible data assimilation testing suite, named DATeS, is described in this paper. DATeS aims to offer a unified testing environment that allows researchers to compare different data assimilation methodologies and…

数学软件 · 计算机科学 2018-07-03 Ahmed Attia , Adrian Sandu
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