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Related papers: PI-VEGAN: Physics Informed Variational Embedding G…

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Leveraging the power of deep learning to design nanophotonic devices has been an area of active research in recent times, with Generative Adversarial Networks (GANs) being a popular choice alongside autoencoder-based methods. However, both…

In this work, we train conditional Wasserstein generative adversarial networks to effectively sample from the posterior of physics-based Bayesian inference problems. The generator is constructed using a U-Net architecture, with the latent…

Machine Learning · Statistics 2022-11-21 Deep Ray , Harisankar Ramaswamy , Dhruv V. Patel , Assad A. Oberai

We propose a stochastic projection-based gradient free physics-informed neural network. The proposed approach, referred to as the stochastic projection based physics informed neural network (SP-PINN), blends upscaled stochastic projection…

Computational Engineering, Finance, and Science · Computer Science 2022-09-29 Navaneeth N , Souvik Chakraborty

The computation of dynamical correlators of quantum many-body systems represents an open critical challenge in condensed matter physics. While powerful methodologies have risen in recent years, covering the full parameter space remains…

Strongly Correlated Electrons · Physics 2022-11-15 Rouven Koch , Jose L. Lado

Generative Adversarial Networks (GANs) have shown immense potential in fields such as text and image generation. Only very recently attempts to exploit GANs to statistical-mechanics models have been reported. Here we quantitatively test…

Statistical Mechanics · Physics 2024-05-07 Daniele Lanzoni , Olivier Pierre-Louis , Francesco Montalenti

We provide a bridge between generative modeling in the Machine Learning community and simulated physical processes in High Energy Particle Physics by applying a novel Generative Adversarial Network (GAN) architecture to the production of…

Machine Learning · Statistics 2017-11-07 Luke de Oliveira , Michela Paganini , Benjamin Nachman

Generative adversarial networks (GANs) have been shown to produce realistic samples from high-dimensional distributions, but training them is considered hard. A possible explanation for training instabilities is the inherent imbalance…

Machine Learning · Statistics 2018-07-12 Mehdi S. M. Sajjadi , Giambattista Parascandolo , Arash Mehrjou , Bernhard Schölkopf

We develop a new Bayesian framework based on deep neural networks to be able to extrapolate in space-time using historical data and to quantify uncertainties arising from both noisy and gappy data in physical problems. Specifically, the…

Machine Learning · Computer Science 2022-03-14 Xuhui Meng , Liu Yang , Zhiping Mao , Jose del Aguila Ferrandis , George Em Karniadakis

Physics-Informed Neural Networks (PINN) are a machine learning tool that can be used to solve direct and inverse problems related to models described by Partial Differential Equations. This paper proposes an adaptive inverse PINN applied to…

Numerical Analysis · Mathematics 2024-11-28 Marco Berardi , Fabio Difonzo , Matteo Icardi

We propose a novel modular inference approach combining two different generative models -- generative adversarial networks (GAN) and normalizing flows -- to approximate the posterior distribution of physics-based Bayesian inverse problems…

Computational Engineering, Finance, and Science · Computer Science 2023-10-10 Agnimitra Dasgupta , Dhruv V Patel , Deep Ray , Erik A Johnson , Assad A Oberai

Electromagnetic (EM) body models designed to predict Radio-Frequency (RF) propagation are time-consuming methods which prevent their adoption in strict real-time computational imaging problems, such as human body localization and sensing.…

Signal Processing · Electrical Eng. & Systems 2024-05-16 Federica Fieramosca , Vittorio Rampa , Michele D'Amico , Stefano Savazzi

Vector quantization approaches (VQ-VAE, VQ-GAN) learn discrete neural representations of images, but these representations are inherently position-dependent: codes are spatially arranged and contextually entangled, requiring autoregressive…

Computer Vision and Pattern Recognition · Computer Science 2026-04-03 Jamie S. J. Stirling , Noura Al-Moubayed , Hubert P. H. Shum

Generative Adversarial Networks (GANs) have recently achieved impressive results for many real-world applications, and many GAN variants have emerged with improvements in sample quality and training stability. However, they have not been…

Computer Vision and Pattern Recognition · Computer Science 2018-12-11 David Bau , Jun-Yan Zhu , Hendrik Strobelt , Bolei Zhou , Joshua B. Tenenbaum , William T. Freeman , Antonio Torralba

Generative Adversarial Networks (GANs) are powerful generative models that achieved strong results, mainly in the image domain. However, the training of GANs is not trivial, presenting some challenges tackled by different strategies.…

Neural and Evolutionary Computing · Computer Science 2021-02-26 Victor Costa , Nuno Lourenço , João Correia , Penousal Machado

The unsupervised training of GANs and VAEs has enabled them to generate realistic images mimicking real-world distributions and perform image-based unsupervised clustering or semi-supervised classification. Combining the power of these two…

Machine Learning · Computer Science 2019-06-18 Abdullah-Al-Zubaer Imran , Demetri Terzopoulos

We propose a neural network-based meta-learning method to efficiently solve partial differential equation (PDE) problems. The proposed method is designed to meta-learn how to solve a wide variety of PDE problems, and uses the knowledge for…

Machine Learning · Statistics 2023-10-23 Tomoharu Iwata , Yusuke Tanaka , Naonori Ueda

Despite the great promise of the physics-informed neural networks (PINNs) in solving forward and inverse problems, several technical challenges are present as roadblocks for more complex and realistic applications. First, most existing…

Computational Engineering, Finance, and Science · Computer Science 2022-01-26 Han Gao , Matthew J. Zahr , Jian-Xun Wang

Recent advances in generative adversarial networks (GANs) have achieved great success in automated image composition that generates new images by embedding interested foreground objects into background images automatically. On the other…

Computer Vision and Pattern Recognition · Computer Science 2023-04-25 Changgong Zhang , Fangneng Zhan , Shijian Lu , Feiying Ma , Xuansong Xie

In the deep learning era, long video generation of high-quality still remains challenging due to the spatio-temporal complexity and continuity of videos. Existing prior works have attempted to model video distribution by representing videos…

Computer Vision and Pattern Recognition · Computer Science 2022-02-23 Sihyun Yu , Jihoon Tack , Sangwoo Mo , Hyunsu Kim , Junho Kim , Jung-Woo Ha , Jinwoo Shin

To quantify uncertainties in inverse problems of partial differential equations (PDEs), we formulate them into statistical inference problems using Bayes' formula. Recently, well-justified infinite-dimensional Bayesian analysis methods have…

Numerical Analysis · Mathematics 2026-02-09 Junxiong Jia , Yanni Wu , Peijun Li , Deyu Meng