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In the drug discovery process, where experiments can be costly and time-consuming, computational models that predict drug-target interactions are valuable tools to accelerate the development of new therapeutic agents. Estimating the…

Machine Learning · Computer Science 2024-07-22 Hannah Rosa Friesacher , Ola Engkvist , Lewis Mervin , Yves Moreau , Adam Arany

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

We introduce Bayesian optimization, a technique developed for optimizing time-consuming engineering simulations and for fitting machine learning models on large datasets. Bayesian optimization guides the choice of experiments during…

Machine Learning · Statistics 2017-11-22 Peter I. Frazier , Jialei Wang

The design of an experiment can be always be considered at least implicitly Bayesian, with prior knowledge used informally to aid decisions such as the variables to be studied and the choice of a plausible relationship between the…

Methodology · Statistics 2017-01-03 David C. Woods , Antony M. Overstall , Maria Adamou , Timothy W. Waite

Discovering optimal designs through sequential data collection is essential in many real-world applications. While Bayesian Optimization (BO) has achieved remarkable success in this setting, growing attention has recently turned to…

Machine Learning · Computer Science 2026-04-22 Chih-Yu Chang , Qiyuan Chen , Tianhan Gao , David Fenning , Chinedum Okwudire , Neil Dasgupta , Wei Lu , Raed Al Kontar

In this study, a stochastic constitutive modeling approach for elastomeric materials is developed to consider uncertainty in material behavior and its prediction. This effort leads to a demonstration of the deterministic approaches error…

Soft Condensed Matter · Physics 2020-10-27 Aref Ghaderi , Vahid Morovati , Roozbeh Dargazany

While the performance of machine learning systems has experienced significant improvement in recent years, relatively little attention has been paid to the fundamental question: to what extent can we improve our models? This paper provides…

Machine Learning · Computer Science 2026-05-13 Ryota Ushio , Takashi Ishida , Masashi Sugiyama

There are many practical difficulties in the calibration of computer models to experimental data. One such complication is the fact that certain combinations of the calibration inputs can cause the code to output data lacking fundamental…

Methodology · Statistics 2020-06-16 Peter W. Marcy , Curtis B. Storlie

Physics simulations like computational fluid dynamics (CFD) are a computational bottleneck in computer-aided design (CAD) optimization processes. To overcome this bottleneck, one requires either an optimization framework that is highly…

Machine Learning · Computer Science 2024-08-29 Harsh Vardhan , David Hyde , Umesh Timalsina , Peter Volgyesi , Janos Sztipanovits

Experimental calibration of dynamic thermal models is required for model predictive control and characterization of building energy performance. In these applications, the uncertainty assessment of the parameter estimates is decisive; this…

Applications · Statistics 2019-04-25 L. Raillon , Christian Ghiaus

Control algorithms such as model predictive control (MPC) and state estimators rely on a number of different parameters. The performance of the closed loop usually depends on the correct setting of these parameters. Tuning is often done…

Systems and Control · Electrical Eng. & Systems 2020-10-15 David Stenger , Muzaffer Ay , Dirk Abel

We propose a novel approach for sequential optimal experimental design (sOED) for Bayesian inverse problems involving expensive models with high-dimensional unknown parameters. This work focuses on designs that maximize the expected…

Optimization and Control · Mathematics 2026-05-05 Tiangang Cui , Karina Koval , Roland Herzog , Robert Scheichl

Sequential Bayesian optimal experimental design (SBOED) for PDE-governed inverse problems is computationally challenging, especially for infinite-dimensional random field parameters. High-fidelity approaches require repeated forward and…

Optimization and Control · Mathematics 2026-01-12 Kaichen Shen , Peng Chen

Bayesian experimental design (BED) is a framework that uses statistical models and decision making under uncertainty to optimise the cost and performance of a scientific experiment. Sequential BED, as opposed to static BED, considers the…

Machine Learning · Statistics 2020-03-23 Steven Kleinegesse , Christopher Drovandi , Michael U. Gutmann

Parameters in climate models are usually calibrated manually, exploiting only small subsets of the available data. This precludes both optimal calibration and quantification of uncertainties. Traditional Bayesian calibration methods that…

Statistics Theory · Mathematics 2021-10-04 Oliver R. A. Dunbar , Alfredo Garbuno-Inigo , Tapio Schneider , Andrew M. Stuart

Automated chemical synthesis, materials fabrication, and spectroscopic physical measurements often bring forth the challenge of process trajectory optimization, i.e., discovering the time dependence of temperature, electric field, or…

Disordered Systems and Neural Networks · Physics 2022-06-28 Mani Valleti , Rama K. Vasudevan , Maxim A. Ziatdinov , Sergei V. Kalinin

We present a framework for calibration of parameters in elastoplastic constitutive models that is based on the use of automatic differentiation (AD). The model calibration problem is posed as a partial differential equation-constrained…

Computational Engineering, Finance, and Science · Computer Science 2021-10-26 Daniel Thomas Seidl , Brian Neal Granzow

Verifying the correctness of Bayesian computation is challenging. This is especially true for complex models that are common in practice, as these require sophisticated model implementations and algorithms. In this paper we introduce…

Methodology · Statistics 2020-10-22 Sean Talts , Michael Betancourt , Daniel Simpson , Aki Vehtari , Andrew Gelman

Accurate robot kinematics is essential for precise tool placement in articulated robots, but non-geometric factors can introduce configuration-dependent model discrepancies. This paper presents a configuration-dependent kinematic…

Robotics · Computer Science 2025-10-24 Chen-Lung Lu , Honglu He , Agung Julius , John T. Wen

We introduce a computational efficient data-driven framework suitable for quantifying the uncertainty in physical parameters and model formulation of computer models, represented by differential equations. We construct physics-informed…

Machine Learning · Statistics 2023-02-01 Michail Spitieris , Ingelin Steinsland
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