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Related papers: A physics-informed GAN Framework based on Model-fr…

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In this paper, we present a machine learning-based data generator framework tailored to aid researchers who utilize simulations to examine various physical systems or processes. High computational costs and the resulting limited data often…

Machine Learning · Computer Science 2023-05-17 Sabber Ahamed , Md Mesbah Uddin

We propose a new class of physics-informed neural networks, called Physics-Informed Generator-Encoder Adversarial Networks, to effectively address the challenges posed by forward, inverse, and mixed problems in stochastic differential…

Machine Learning · Computer Science 2023-11-06 Ruisong Gao , Min Yang , Jin Zhang

Physically-inspired latent force models offer an interpretable alternative to purely data driven tools for inference in dynamical systems. They carry the structure of differential equations and the flexibility of Gaussian processes,…

Machine Learning · Computer Science 2022-01-25 Jacob D. Moss , Felix L. Opolka , Bianca Dumitrascu , Pietro Lió

We present a mathematically well founded approach for the synthetic modeling of turbulent flows using generative adversarial networks (GAN). Based on the analysis of chaotic, deterministic systems in terms of ergodicity, we outline a…

Fluid Dynamics · Physics 2022-03-23 Claudia Drygala , Benjamin Winhart , Francesca di Mare , Hanno Gottschalk

We extend the model-free Data-Driven computing paradigm to solids and structures that are stochastic due to intrinsic randomness in the material behavior. The behavior of such materials is characterized by a likelihood measure instead of a…

Computational Engineering, Finance, and Science · Computer Science 2022-11-23 Erik Prume , Stefanie Reese , Michael Ortiz

Modern implicit generative models such as generative adversarial networks (GANs) are generally known to suffer from issues such as instability, uninterpretability, and difficulty in assessing their performance. If we see these implicit…

Machine Learning · Statistics 2019-11-05 Arash Mehrjou , Wittawat Jitkrittum , Krikamol Muandet , Bernhard Schölkopf

Modern implicit generative models such as generative adversarial networks (GANs) are generally known to suffer from issues such as instability, uninterpretability, and difficulty in assessing their performance. If we see these implicit…

Machine Learning · Computer Science 2019-11-07 Arash Mehrjou , Wittawat Jitkrittum , Krikamol Muandet , Bernhard Schölkopf

Generative adversarial networks (GANs) provide an algorithmic framework for constructing generative models with several appealing properties: they do not require a likelihood function to be specified, only a generating procedure; they…

Machine Learning · Statistics 2017-02-28 Shakir Mohamed , Balaji Lakshminarayanan

We developed a new class of physics-informed generative adversarial networks (PI-GANs) to solve in a unified manner forward, inverse and mixed stochastic problems based on a limited number of scattered measurements. Unlike standard GANs…

Machine Learning · Statistics 2018-11-07 Liu Yang , Dongkun Zhang , George Em Karniadakis

Data-driven methods have become increasingly more prominent for musculoskeletal modelling due to their conceptually intuitive simple and fast implementation. However, the performance of a pre-trained data-driven model using the data from…

Signal Processing · Electrical Eng. & Systems 2022-11-23 Jie Zhang , Yihui Zhao , Tianzhe Bao , Zhenhong Li , Kun Qian , Alejandro F. Frangi , Sheng Quan Xie , Zhi-Qiang Zhang

The analysis of parametric and non-parametric uncertainties of very large dynamical systems requires the construction of a stochastic model of said system. Linear approaches relying on random matrix theory and principal componant analysis…

Machine Learning · Statistics 2023-02-02 Hamza Boukraichi , Nissrine Akkari , Fabien Casenave , David Ryckelynck

We have developed a new data-driven paradigm for the rapid inference, modeling and simulation of the physics of transport phenomena by deep learning. Using conditional generative adversarial networks (cGAN), we train models for the direct…

Machine Learning · Computer Science 2017-09-11 Amir Barati Farimani , Joseph Gomes , Vijay S. Pande

Generative adversarial networks (GANs) have been shown to provide an effective way to model complex distributions and have obtained impressive results on various challenging tasks. However, typical GANs require fully-observed data during…

Machine Learning · Computer Science 2019-02-27 Steven Cheng-Xian Li , Bo Jiang , Benjamin Marlin

In this work, we present GAROM, a new approach for reduced order modelling (ROM) based on generative adversarial networks (GANs). GANs have the potential to learn data distribution and generate more realistic data. While widely applied in…

Machine Learning · Computer Science 2025-01-31 Dario Coscia , Nicola Demo , Gianluigi Rozza

A physics-driven generative adversarial network (GAN) was established here for single-pixel hyperspectral imaging (HSI) in the infrared spectrum, to eliminate the extensive data training work required by traditional data-driven model.…

Image and Video Processing · Electrical Eng. & Systems 2023-11-27 Dong-Yin Wang , Shu-Hang Bie , Xi-Hao Chen , Wen-Kai Yu

We present a new data-driven paradigm for variational brittle fracture mechanics. The fracture-related material modeling assumptions are removed and the governing equations stemming from variational principles are combined with a set of…

Computational Engineering, Finance, and Science · Computer Science 2020-09-11 Pietro Carrara , Laura De Lorenzis , Laurent Stainier , Michael Ortiz

This work presents a data-driven solution to accurately predict parameterized nonlinear fluid dynamical systems using a dynamics-generator conditional GAN (Dyn-cGAN) as a surrogate model. The Dyn-cGAN includes a dynamics block within a…

Machine Learning · Computer Science 2024-12-25 Abdolvahhab Rostamijavanani , Shanwu Li , Yongchao Yang

The GANs are generative models whose random samples realistically reflect natural images. It also can generate samples with specific attributes by concatenating a condition vector into the input, yet research on this field is not well…

Machine Learning · Computer Science 2016-11-07 Hanock Kwak , Byoung-Tak Zhang

Data-Driven Continuum Mechanics -- the continuous counterpart of Data-Driven Computational Mechanics -- is a modern paradigm that enhances classical continuum mechanics by incorporating finite sets of experimental material data directly,…

Analysis of PDEs · Mathematics 2026-05-21 Cristian G. Gebhardt , Kundan Kumar , Florin A. Radu

Generative adversarial networks are the state of the art approach towards learned synthetic image generation. Although early successes were mostly unsupervised, bit by bit, this trend has been superseded by approaches based on labelled…

Computer Vision and Pattern Recognition · Computer Science 2020-12-17 Ricard Durall , Kalun Ho , Franz-Josef Pfreundt , Janis Keuper