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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…

Artificial Intelligence · Computer Science 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…

Optimization and Control · Mathematics 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…

Machine Learning · Computer Science 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.…

Numerical Analysis · Mathematics 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…

Computation · Statistics 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…

Optimization and Control · Mathematics 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…

Optimization and Control · Mathematics 2025-09-01 Madhusudan Madhavan , Alen Alexanderian , Arvind K. Saibaba , Bart van Bloemen Waanders , Rebekah D. White

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…

Numerical Analysis · Mathematics 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…

Machine Learning · Statistics 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…

Methodology · Statistics 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…

Numerical Analysis · Mathematics 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…

Optimization and Control · Mathematics 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…

Computation · Statistics 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…

Methodology · Statistics 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…

Optimization and Control · Mathematics 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…

Data Analysis, Statistics and Probability · Physics 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…

Computational Engineering, Finance, and Science · Computer Science 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…

Numerical Analysis · Mathematics 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…

Data Analysis, Statistics and Probability · Physics 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…

Mathematical Software · Computer Science 2018-07-03 Ahmed Attia , Adrian Sandu
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