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When solving a PDE problem numerically, a certain mesh-refinement process is always implicit, and very classically, mesh adaptivity is a very effective means to accelerate grid convergence. Similarly, when optimizing a shape by means of an…

Numerical Analysis · Mathematics 2015-09-11 Badr Abou El Majd

This contribution describes the implementation of a data--driven shape optimization pipeline in a naval architecture application. We adopt reduced order models (ROMs) in order to improve the efficiency of the overall optimization, keeping a…

Numerical Analysis · Mathematics 2024-01-22 Nicola Demo , Giulio Ortali , Gianluca Gustin , Gianluigi Rozza , Gianpiero Lavini

The optimal design seeks the best possible solution(s) for a mechanical structure, device, or system, satisfying a series of requirements and leading to the best performance. In this work, optimized nozzle shapes have been designed for a…

Fluid Dynamics · Physics 2024-01-05 Tomas Schuller , Maziyar Jalaal , Paola Fanzio , Francisco J. Galindo-Rosales

Design flow parameters are of utmost importance to chip design quality and require a painfully long time to evaluate their effects. In reality, flow parameter tuning is usually performed manually based on designers' experience in an ad hoc…

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

With more efficient structures, last trends in aeronautics have witnessed an increased flexibility of wings, calling for adequate design and optimization approaches. To correctly model the coupled physics, aerostructural optimization has…

Computational Engineering, Finance, and Science · Computer Science 2021-06-04 Rocco Bombardieri , Rauno Cavallaro , Ruben Sanchez , Nicolas R. Gauger

A computationally efficient method is presented for approximate optimization of cutting pattern of frame-supported and pneumatic membrane structures. The plane cutting sheet is generated by minimizing the error from the shape obtained by…

Optimization and Control · Mathematics 2017-12-14 Makoto Ohsaki , Jun Fujiwara , Fumiyoshi Takeda

Probabilistic machine learning enabled by the Bayesian formulation has recently gained significant attention in the domain of automated reasoning and decision-making. While impressive strides have been made recently to scale up the…

Emerging Technologies · Computer Science 2020-04-22 Kezhou Yang , Akul Malhotra , Sen Lu , Abhronil Sengupta

This paper introduces a new methodology for designing and optimizing the performance of hydraulic Cross-Flow turbines for a wide range of operating conditions. The methodology is based on a one-step approach for the system-level design…

Fluid Dynamics · Physics 2021-02-22 Goodarz Mehr , Mohammad Durali , Mohammad Hadi Khakrand , Hadi Hoghooghi

Surface tension and contact angle measurements are fundamental characterization techniques relevant to thermal and fluidic applications. Drop shape analysis techniques for the measurement of interfacial tension are powerful, versatile and…

Fluid Dynamics · Physics 2019-09-16 Karan Jakhar , Ashesh Chattopadhyay , Atul Thakur , Rishi Raj

Most machine learning methods require careful selection of hyper-parameters in order to train a high performing model with good generalization abilities. Hence, several automatic selection algorithms have been introduced to overcome tedious…

Machine Learning · Computer Science 2020-01-17 Raju Ram , Sabine Müller , Franz-Josef Pfreundt , Nicolas R. Gauger , Janis Keuper

The numerical approximation of partial differential equations (PDEs) using neural networks has seen significant advancements through Physics-Informed Neural Networks (PINNs). Despite their straightforward optimization framework and…

Machine Learning · Computer Science 2025-03-19 Namgyu Kang , Jaemin Oh , Youngjoon Hong , Eunbyung Park

In this paper, we present the application of a recently developed algorithm for Bayesian multi-objective optimization to the design of a commercial aircraft environment control system (ECS). In our model, the ECS is composed of two…

Optimization and Control · Mathematics 2016-10-10 Paul Feliot , Yves Le Guennec , Julien Bect , Emmanuel Vazquez

In this paper, gradient-based optimization methods are combined with finite-element modeling for improving electric devices. Geometric design parameters are considered by affine decomposition of the geometry or by the design element…

In experimental design, we are given $n$ vectors in $d$ dimensions, and our goal is to select $k\ll n$ of them to perform expensive measurements, e.g., to obtain labels/responses, for a linear regression task. Many statistical criteria have…

Machine Learning · Computer Science 2019-06-11 Michał Dereziński , Feynman Liang , Michael W. Mahoney

Currently, an excessive amount of event data is being obtained in four-dimensional inelastic neutron-scattering experiments. A method for automatic bin-width optimization of multidimensional histograms has been developed and recently…

Data Analysis, Statistics and Probability · Physics 2026-03-19 Kensuke Muto , Hirotaka Sakamoto , Kenji Nagata , Taka-hisa Arima , Masato Okada

In this study, fluid flow and concentration distribution inside a 3D T-shaped micromixer with various fin shapes and configurations are investigated using a Flexible Physics-Informed Neural Network (FlexPINN), which includes modifications…

Fluid Dynamics · Physics 2026-02-24 Meraj Hassanzadeh , Ehsan Ghaderi , Mohamad Ali Bijarchi

Parameter estimation remains a challenging task across many areas of engineering. Because data acquisition can often be costly, limited, or prone to inaccuracies (noise, uncertainty) it is crucial to identify sensor configurations that…

Machine Learning · Statistics 2025-11-20 Georgios Venianakis , Constantinos Theodoropoulos , Michail Kavousanakis

Aircraft design relies heavily on solving challenging and computationally expensive Multidisciplinary Design Optimization problems. In this context, there has been growing interest in multi-fidelity models for Bayesian optimization to…

Optimization and Control · Mathematics 2026-04-01 Oihan Cordelier , Youssef Diouane , Nathalie Bartoli , Eric Laurendeau

Bayesian optimal experimental design is a sub-field of statistics focused on developing methods to make efficient use of experimental resources. Any potential design is evaluated in terms of a utility function, such as the (theoretically…

Machine Learning · Computer Science 2022-10-21 Noble Kennamer , Steven Walton , Alexander Ihler
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