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We consider optimal experimental design (OED) problems in selecting the most informative observation sensors to estimate model parameters in a Bayesian framework. Such problems are computationally prohibitive when the…

Computational Engineering, Finance, and Science · Computer Science 2024-09-10 Jinwoo Go , Peng Chen

The challenge of optimal design of experiments (DOE) pervades materials science, physics, chemistry, and biology. Bayesian optimization has been used to address this challenge in vast sample spaces, although it requires framing experimental…

We develop a set of algorithms to solve a broad class of Design of Experiment (DoE) problems efficiently. Specifically, we consider problems in which one must choose a subset of polymers to test in experiments such that the learning of the…

Quantitative Methods · Quantitative Biology 2024-08-06 Swagatam Mukhopadhyay

Model-based design of experiments (MBDoE) is a powerful framework for selecting and calibrating science-based mathematical models from data. This work extends popular MBDoE workflows by proposing a convex mixed integer (non)linear…

Optimization and Control · Mathematics 2024-06-17 Jialu Wang , Zedong Peng , Ryan Hughes , Debangsu Bhattacharyya , David E. Bernal Neira , Alexander W. Dowling

The Design of Experiments (DOEs) is a fundamental scientific methodology that provides researchers with systematic principles and techniques to enhance the validity, reliability, and efficiency of experimental outcomes. In this study, we…

Machine Learning · Statistics 2025-07-22 Miao Huang , Hongqiao Wang , Kunyu Wu

Minimising cycle time without inducing quality defects is a major challenge in the injection moulding (IM). Design of Experiment methods (DoE) have been widely studied for optimisation of the IM, however existing methods have limitations,…

Systems and Control · Electrical Eng. & Systems 2024-12-05 Mandana Kariminejad , David Tormey , Caitríona Ryan , Christopher O'Hara , Albert Weinert , Marion McAfee

Optimal experimental design is a well studied field in applied science and engineering. Techniques for estimating such a design are commonly used within the framework of parameter estimation. Nonetheless, in recent years parameter…

Machine Learning · Statistics 2025-01-13 Md Shahriar Rahim Siddiqui , Arman Rahmim , Eldad Haber

This paper describes PyOED, a highly extensible scientific package that enables developing and testing model-constrained optimal experimental design (OED) for inverse problems. Specifically, PyOED aims to be a comprehensive Python toolkit…

Mathematical Software · Computer Science 2023-12-20 Abhijit Chowdhary , Shady E. Ahmed , Ahmed Attia

Design of experiments (DOE) is playing an essential role in learning and improving a variety of objects and processes. The article discusses the application of unsupervised machine learning to support the pragmatic designs of complex…

Machine Learning · Computer Science 2021-10-07 Alex Glushkovsky

The increasing prevalence of rich sources of data and the availability of electronic medical record databases and electronic registries opens tremendous opportunities for enhancing medical research. For example, controlled trials are…

Methodology · Statistics 2015-09-23 Liwen Ouyang , Daniel W. Apley , Sanjay Mehrotra

Model identification of battery dynamics is a central problem in energy research; many energy management systems and design processes rely on accurate battery models for efficiency optimization. The standard methodology for battery…

Machine Learning · Computer Science 2023-10-13 Gokhan Budan , Francesca Damiani , Can Kurtulus , N. Kemal Ure

Python has become the programming language of choice for research and industry projects related to data science, machine learning, and deep learning. Since optimization is an inherent part of these research fields, more optimization related…

Neural and Evolutionary Computing · Computer Science 2020-05-25 Julian Blank , Kalyanmoy Deb

The e-value is gaining traction as a robust alternative to p-values and Bayes factors for quantifying statistical evidence. e-values are a promising method for adaptive clinical trials due to their anytime-validity: e-values ensure type I…

Methodology · Statistics 2026-05-28 Stef Baas , Judith ter Schure , Joost van Rosmalen

This paper claims that a new field of empirical software engineering research and practice is emerging: data mining using/used-by optimizers for empirical studies or DUO. For example, data miners can generate models that are explored by…

Software Engineering · Computer Science 2020-08-31 Amritanshu Agrawal , Tim Menzies , Leandro L. Minku , Markus Wagner , Zhe Yu

Construction of kinetic models has become an indispensable step in the development and scale up of processes in the industry. Model-based design of experiments (MBDoE) has been widely used for the purpose of improving parameter precision in…

Systems and Control · Electrical Eng. & Systems 2021-04-15 Panagiotis Petsagkourakis , Federico Galvanin

In many science and engineering settings, system dynamics are characterized by governing PDEs, and a major challenge is to solve inverse problems (IPs) where unknown PDE parameters are inferred based on observational data gathered under…

Machine Learning · Computer Science 2025-03-11 Apivich Hemachandra , Gregory Kang Ruey Lau , See-Kiong Ng , Bryan Kian Hsiang Low

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

Defining an effective way to design stable emulsions with limited resources is a challenge that every laboratory is facing at least once. Two ways of experiments have been trending as a cost-and-time-efficient method to explore factor…

Chemical Physics · Physics 2021-10-29 Natacha Guyader , Magalie Michiel , Vincent Cobut , Stephane Serfaty

Model-based design of experiments (MBDOE) is essential for efficient parameter estimation in nonlinear dynamical systems. However, conventional adaptive MBDOE requires costly posterior inference and design optimization between each…

Machine Learning · Statistics 2026-03-25 Arno Strouwen , Sebastian Micluţa-Câmpeanu

Offline model-based optimization (MBO) aims to maximize a black-box objective function using only an offline dataset of designs and scores. These tasks span various domains, such as robotics, material design, and protein and molecular…

Machine Learning · Computer Science 2025-04-18 Ye Yuan , Youyuan Zhang , Can Chen , Haolun Wu , Zixuan Li , Jianmo Li , James J. Clark , Xue Liu
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