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Related papers: GenPhys: From Physical Processes to Generative Mod…

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The geometry of generative models serves as the basis for interpolation, model inspection, and more. Unfortunately, most generative models lack a principal notion of geometry without restrictive assumptions on either the model or the data…

Machine Learning · Computer Science 2026-01-30 Frederik Möbius Rygaard , Shen Zhu , Yinzhu Jin , Søren Hauberg , Tom Fletcher

Recent advances in generative modeling -- particularly diffusion models and flow matching -- have achieved remarkable success in synthesizing discrete data such as images and videos. However, adapting these models to physical applications…

Machine Learning · Computer Science 2025-11-26 Sifan Wang , Zehao Dou , Siming Shan , Tong-Rui Liu , Lu Lu

Deep generative models such as flow matching and diffusion models have shown great potential in learning complex distributions and dynamical systems, but often act as black-boxes, neglecting underlying physics. In contrast, physics-based…

Machine Learning · Computer Science 2026-04-28 Gurjeet Sangra Singh , Frantzeska Lavda , Giangiacomo Mercatali , Alexandros Kalousis

Many data-driven modules in smart grid rely on access to high-quality power flow data; however, real-world data are often limited due to privacy and operational constraints. This paper presents a physics-informed generative framework based…

Machine Learning · Computer Science 2025-04-25 Junfei Wang , Darshana Upadhyay , Marzia Zaman , Pirathayini Srikantha

We train a generative diffusion model (DM) to simulate ultra-relativistic heavy-ion collisions from end to end. The model takes initial entropy density profiles as input and produces two-dimensional final particle spectra, successfully…

Nuclear Theory · Physics 2025-10-14 Jing-An Sun , Li Yan , Charles Gale , Sangyong Jeon

Modeling physical systems in a generative manner offers several advantages, including the ability to handle partial observations, generate diverse solutions, and address both forward and inverse problems. Recently, diffusion models have…

Machine Learning · Computer Science 2025-05-29 Yi Zhang , Difan Zou

Deep generative models have recently been applied to physical systems governed by partial differential equations (PDEs), offering scalable simulation and uncertainty-aware inference. However, enforcing physical constraints, such as…

Machine Learning · Computer Science 2025-11-27 Utkarsh Utkarsh , Pengfei Cai , Alan Edelman , Rafael Gomez-Bombarelli , Christopher Vincent Rackauckas

Diffusion models have recently emerged as powerful stochastic frameworks for high-dimensional inference and generation. However, existing applications to partial differential equations (PDEs) predominantly rely on physics-informed training…

Numerical Analysis · Mathematics 2026-04-03 Yi Bing , Liu Jia , Fu Jinyang , Peng Xiang

We propose a methodology that combines generative latent diffusion models with physics-informed machine learning to generate solutions of parametric partial differential equations (PDEs) conditioned on partial observations, which includes,…

Machine Learning · Computer Science 2026-02-11 Davide Gallon , Philippe von Wurstemberger , Patrick Cheridito , Arnulf Jentzen

We provide a novel approach to construct generative models for graphs. Instead of using the traditional probabilistic models or deep generative models, we propose to instead find an algorithm that generates the data. We achieve this using…

Machine Learning · Computer Science 2023-04-26 Mihai Babiac , Karolis Martinkus , Roger Wattenhofer

Interactable objects are ubiquitous in our daily lives. Recent advances in 3D generative models make it possible to automate the modeling of these objects, benefiting a range of applications from 3D printing to the creation of robot…

Computer Vision and Pattern Recognition · Computer Science 2025-02-05 Rundong Luo , Haoran Geng , Congyue Deng , Puhao Li , Zan Wang , Baoxiong Jia , Leonidas Guibas , Siyuan Huang

Disordered metamaterials are promising for programming physical properties across diverse applications, yet their inverse design remains challenging due to the non-intuitive structure-property relationships and large design spaces. Recent…

Computational Engineering, Finance, and Science · Computer Science 2026-03-18 Ziyuan Xie , Weipeng Xu , Dazhi Zhao , Wenchang Zhang , Daoyang Dong , Bingbing Xu , Ning Liu , Sheng Mao , Tianju Xue

Recent advances in generative models for medical imaging have shown promise in representing multiple modalities. However, the variability in modality availability across datasets limits the general applicability of the synthetic data they…

Image and Video Processing · Electrical Eng. & Systems 2024-10-02 Sven Lüpke , Yousef Yeganeh , Ehsan Adeli , Nassir Navab , Azade Farshad

Generative models cover various application areas, including image, video and music synthesis, natural language processing, and molecular design, among many others. As digital generative models become larger, scalable inference in a fast…

Neural and Evolutionary Computing · Computer Science 2025-08-28 Shiqi Chen , Yuhang Li , Hanlong Chen , Aydogan Ozcan

Generative AI (GenAI) has revolutionized data-driven modeling by enabling the synthesis of high-dimensional data across various applications, including image generation, language modeling, biomedical signal processing, and anomaly…

Machine Learning · Computer Science 2025-09-09 Yao Xie , Xiuyuan Cheng

We consider the application of deep generative models in propagating uncertainty through complex physical systems. Specifically, we put forth an implicit variational inference formulation that constrains the generative model output to…

Machine Learning · Statistics 2018-12-11 Yibo Yang , Paris Perdikaris

Diffusion models have emerged as powerful generative tools with applications in computer vision and scientific machine learning (SciML), where they have been used to solve large-scale probabilistic inverse problems. Traditionally, these…

Given (small amounts of) time-series' data from a high-dimensional, fine-grained, multiscale dynamical system, we propose a generative framework for learning an effective, lower-dimensional, coarse-grained dynamical model that is predictive…

Machine Learning · Statistics 2021-01-18 Sebastian Kaltenbach , Phaedon-Stelios Koutsourelakis

Deep learning based generative models such as deepfake have been able to generate amazing images and videos. However, these models may need significant transformation when applied to generate crystal materials structures in which the…

Materials Science · Physics 2021-12-15 Yong Zhao , Edirisuriya MD Siriwardane , Jianjun Hu

Diffusion-based generative models are a design framework that allows generating new images from processes analogous to those found in non-equilibrium thermodynamics. These models model the reversal of a physical diffusion process in which…

Artificial Intelligence · Computer Science 2023-02-21 Jordi de la Torre