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We present a two-scale topology optimization framework for the design of macroscopic bodies with an optimized elastic response, which is achieved by means of a spatially-variant cellular architecture on the microscale. The chosen spinodoid…

Computational Engineering, Finance, and Science · Computer Science 2021-05-21 Li Zheng , Siddhant Kumar , Dennis M. Kochmann

We consider chance constrained optimization where it is sought to optimize a function while complying with constraints, both of which are affected by uncertainties. The high computational cost of realistic simulations strongly limits the…

Optimization and Control · Mathematics 2022-04-18 Julien Pelamatti , Rodolphe Le Riche , Céline Helbert , Christophette Blanchet-Scalliet

Bayesian Optimization is a popular tool for tuning algorithms in automatic machine learning (AutoML) systems. Current state-of-the-art methods leverage Random Forests or Gaussian processes to build a surrogate model that predicts algorithm…

Machine Learning · Computer Science 2021-01-08 Jeroen van Hoof , Joaquin Vanschoren

Aerodynamic shape optimization in industry still faces challenges related to robustness and scalability. This aspect becomes crucial for advanced optimizations that rely on expensive high-fidelity flow solvers, where computational budget…

Fluid Dynamics · Physics 2025-05-26 Marc Schouler , Anca Belme , Paola Cinnella

This paper proposes novel noise-free Bayesian optimization strategies that rely on a random exploration step to enhance the accuracy of Gaussian process surrogate models. The new algorithms retain the ease of implementation of the classical…

Machine Learning · Computer Science 2024-07-18 Hwanwoo Kim , Daniel Sanz-Alonso

We introduce the concept of decision-focused surrogate modeling for solving computationally challenging nonlinear optimization problems in real-time settings. The proposed data-driven framework seeks to learn a simpler, e.g. convex,…

Optimization and Control · Mathematics 2023-12-27 Rishabh Gupta , Qi Zhang

In this study, we propose a novel microstructure-sensitive Bayesian optimization (BO) framework designed to enhance the efficiency of materials discovery by explicitly incorporating microstructural information. Traditional materials design…

Materials Science · Physics 2025-02-07 Danial Khatamsaz , Vahid Attari , Raymundo Arroyave

Trial level surrogates are useful tools for improving the speed and cost effectiveness of trials, but surrogates that have not been properly evaluated can cause misleading results. The evaluation procedure is often contextual and depends on…

Methodology · Statistics 2022-08-23 Michael C Sachs , Erin E Gabriel , Alessio Crippa , Michael J Daniels

We present an adaptive approach to the construction of Gaussian process surrogates for Bayesian inference with expensive-to-evaluate forward models. Our method relies on the fully Bayesian approach to training Gaussian process models and…

Machine Learning · Statistics 2018-10-01 Timur Takhtaganov , Juliane Müller

The ability to image materials at the microscale from long-wavelength wave data is a major challenge to the geophysical, engineering and medical fields. Here, we present a framework to constrain microstructure geometry and properties from…

Geophysics · Physics 2021-04-19 Wouter Klessens , Ivan Vasconcelos , Yang Jiao

A novel data-driven constitutive modeling approach is proposed, which combines the physics-informed nature of modeling based on continuum thermodynamics with the benefits of machine learning. This approach is demonstrated on…

Computational Engineering, Finance, and Science · Computer Science 2023-04-28 Kshitiz Upadhyay , Jan N. Fuhg , Nikolaos Bouklas , K. T. Ramesh

We are often interested in identifying the feasible subset of a decision space under multiple constraints to permit effective design exploration. If determining feasibility required computationally expensive simulations, the cost of…

Machine Learning · Computer Science 2020-06-25 Alma Rahat , Michael Wood

Computational simulation is increasingly relied upon for high-consequence engineering decisions, and a foundational element to solid mechanics simulations, such as finite element analysis (FEA), is a credible constitutive or material model.…

Computational Engineering, Finance, and Science · Computer Science 2023-10-30 Denielle Ricciardi , Tom Seidl , Brian Lester , Amanda Jones , Elizabeth Jones

The problem of learning the structure of a high dimensional graphical model from data has received considerable attention in recent years. In many applications such as sensor networks and proteomics it is often expensive to obtain samples…

Machine Learning · Statistics 2016-04-08 Gautam Dasarathy , Aarti Singh , Maria-Florina Balcan , Jong Hyuk Park

This paper is concerned with a lesser-studied problem in the context of model-based, uncertainty quantification (UQ), that of optimization/design/control under uncertainty. The solution of such problems is hindered not only by the usual…

Computation · Statistics 2016-02-17 Phaedon-Stelios Koutsourelakis

Active learning is of great interest for many practical applications, especially in industry and the physical sciences, where there is a strong need to minimize the number of costly experiments necessary to train predictive models. However,…

Machine Learning · Computer Science 2021-12-23 Maryam Pardakhti , Nila Mandal , Anson W. K. Ma , Qian Yang

In the recent past, psychological stress has been increasingly observed in humans, and early detection is crucial to prevent health risks. Stress detection using on-device deep learning algorithms has been on the rise owing to advancements…

Machine Learning · Computer Science 2020-12-07 Abhijith Ragav , Gautham Krishna Gudur

Performing optimal Bayesian design for discriminating between competing models is computationally intensive as it involves estimating posterior model probabilities for thousands of simulated datasets. This issue is compounded further when…

Methodology · Statistics 2022-04-07 Markus Hainy , David J. Price , Olivier Restif , Christopher Drovandi

Gaussian graphical models are widely utilized to infer and visualize networks of dependencies between continuous variables. However, inferring the graph is difficult when the sample size is small compared to the number of variables. To…

Statistics Theory · Mathematics 2016-09-30 Emilie Devijver , Mélina Gallopin

Many practical perception systems exist within larger processes that include interactions with users or additional components capable of evaluating the quality of predicted solutions. In these contexts, it is beneficial to provide these…

Computer Vision and Pattern Recognition · Computer Science 2016-10-06 Stefan Lee , Senthil Purushwalkam , Michael Cogswell , Viresh Ranjan , David Crandall , Dhruv Batra