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The design of aerodynamic shapes, such as airfoils, has traditionally required significant computational resources and relied on predefined design parameters, which limit the potential for novel shape synthesis. In this work, we introduce a…

Machine Learning · Computer Science 2024-12-19 Reid Graves , Amir Barati Farimani

Variational Autoencoders (VAEs) provide a theoretically-backed and popular framework for deep generative models. However, learning a VAE from data poses still unanswered theoretical questions and considerable practical challenges. In this…

Machine Learning · Computer Science 2020-06-01 Partha Ghosh , Mehdi S. M. Sajjadi , Antonio Vergari , Michael Black , Bernhard Schölkopf

The aerodynamic optimization process of cars requires multiple iterations between aerodynamicists and stylists. Response Surface Modeling and Reduced-Order Modeling are commonly used to eliminate the overhead due to Computational Fluid…

Computational Engineering, Finance, and Science · Computer Science 2022-05-26 Sam Jacob Jacob , Markus Mrosek , Carsten Othmer , Harald Köstler

Generative modeling aims to generate new data samples that resemble a given dataset, with diffusion models recently becoming the most popular generative model. One of the main challenges of diffusion models is solving the problem in the…

Numerical Analysis · Mathematics 2025-10-08 Wonjun Lee , Riley C. W. O'Neill , Dongmian Zou , Jeff Calder , Gilad Lerman

Real-world applications of computational fluid dynamics often involve the evaluation of quantities of interest for several distinct geometries that define the computational domain or are embedded inside it. For example, design optimization…

Numerical Analysis · Mathematics 2023-08-08 Guglielmo Padula , Francesco Romor , Giovanni Stabile , Gianluigi Rozza

Multiple shapes must be obtained in the mechanical design process to satisfy the required design specifications. The inverse design problem has been analyzed in previous studies to obtain such shapes. However, finding multiple shapes in a…

Computational Engineering, Finance, and Science · Computer Science 2021-06-21 Kazuo Yonekura , Kazunari Wada , Katsuyuki Suzuki

This study presents a generative optimization framework that builds on a fine-tuned diffusion model and reward-directed sampling to generate high-performance engineering designs. The framework adopts a parametric representation of the…

Machine Learning · Computer Science 2025-08-05 Hadi Keramati , Patrick Kirchen , Mohammed Hannan , Rajeev K. Jaiman

Layout design with complex constraints is a challenging problem to solve due to the non-uniqueness of the solution and the difficulties in incorporating the constraints into the conventional optimization-based methods. In this paper, we…

Signal Processing · Electrical Eng. & Systems 2018-06-11 Yujie Zhang , Wenjing Ye

We investigate the construction of generative models capable of encoding physical constraints that can be hard to express explicitly. For the problem of inverse material design, where one seeks to design a material with a prescribed set of…

Materials Science · Physics 2024-01-17 Khalid El-Awady

To facilitate the antenna design with the aid of computer, one of the practices in consumer electronic industry is to model and optimize antenna performances with a simplified antenna geometric scheme. Traditional antenna modeling requires…

Machine Learning · Computer Science 2022-03-23 Yang Zhong , Peter Renner , Weiping Dou , Geng Ye , Jiang Zhu , Qing Huo Liu

Latent diffusion models have established a new state-of-the-art in high-resolution visual generation. Integrating Vision Foundation Model priors improves generative efficiency, yet existing latent designs remain largely heuristic. These…

Computer Vision and Pattern Recognition · Computer Science 2026-03-13 Hangyu Liu , Jianyong Wang , Yutao Sun

Aerosol-cloud--radiation interactions remain among the most uncertain components of the Earth's climate system, in partdue to the high dimensionality of aerosol state representations and the difficulty of obtaining complete \textit{in situ}…

Atmospheric and Oceanic Physics · Physics 2025-10-14 Ehsan Saleh , Saba Ghaffari , Jeffrey H. Curtis , Lekha Patel , Peter A. Bosler , Nicole Riemer , Matthew West

The estimation of patient-specific tissue properties in the form of model parameters is important for personalized physiological models. However, these tissue properties are spatially varying across the underlying anatomical model,…

Machine Learning · Statistics 2020-05-19 Jwala Dhamala , Sandesh Ghimire , John L. Sapp , B. Milan Horácek , Linwei Wang

Generative thermal design for complex geometries is fundamental in many areas of engineering, yet it faces two main challenges: the high computational cost of high-fidelity simulations and the limitations of conventional generative models.…

Machine Learning · Computer Science 2025-09-12 Alicia Tierz , Jad Mounayer , Beatriz Moya , Francisco Chinesta

The latest sheet stamping processes enable efficient manufacturing of complex shape structural components that have high stiffness to weight ratios, but these processes can introduce defects. To assist component design for stamping…

Machine Learning · Computer Science 2022-02-09 Hamid Reza Attar , Alistair Foster , Nan Li

One of the most promising developments in computer vision in recent years is the use of generative neural networks for functionality condition-based 3D design reconstruction and generation. Here, neural networks learn dependencies between…

Machine Learning · Computer Science 2023-11-08 Christoph Petroll , Sebastian Eilermann , Philipp Hoefer , Oliver Niggemann

Modern generative models are usually designed to match target distributions directly in the data space, where the intrinsic dimension of data can be much lower than the ambient dimension. We argue that this discrepancy may contribute to the…

Machine Learning · Computer Science 2020-07-02 Zijun Zhang , Ruixiang Zhang , Zongpeng Li , Yoshua Bengio , Liam Paull

Variational autoencoders (VAE) represent a popular, flexible form of deep generative model that can be stochastically fit to samples from a given random process using an information-theoretic variational bound on the true underlying…

Machine Learning · Computer Science 2019-10-08 Bin Dai , Yu Wang , John Aston , Gang Hua , David Wipf

This paper introduces an approach to endow generative diffusion processes the ability to satisfy and certify compliance with constraints and physical principles. The proposed method recast the traditional sampling process of generative…

Machine Learning · Computer Science 2024-11-05 Jacob K Christopher , Stephen Baek , Ferdinando Fioretto

We describe a set of novel methods for efficiently sampling high-dimensional parameter spaces of physical theories defined at high energies, but constrained by experimental measurements made at lower energies. Often, theoretical models such…

High Energy Physics - Phenomenology · Physics 2023-10-04 Jason Baretz , Nicholas Carrara , Jacob Hollingsworth , Daniel Whiteson