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Autoregressive next-step prediction models have become the de-facto standard for building data-driven neural solvers to forecast time-dependent partial differential equations (PDEs). Denoise training that is closely related to diffusion…

Machine Learning · Computer Science 2025-03-31 Zijie Li , Anthony Zhou , Amir Barati Farimani

While deep learning has shown tremendous success in a wide range of domains, it remains a grand challenge to incorporate physical principles in a systematic manner to the design, training, and inference of such models. In this paper, we aim…

Computational Physics · Physics 2020-06-16 Rui Wang , Karthik Kashinath , Mustafa Mustafa , Adrian Albert , Rose Yu

Diffusion models have shown exceptional scaling properties in the image synthesis domain, and initial attempts have shown similar benefits for applying diffusion to unconditional text synthesis. Denoising diffusion models attempt to…

Audio and Speech Processing · Electrical Eng. & Systems 2022-10-17 Matthew Baas , Kevin Eloff , Herman Kamper

We present a method to downscale idealized geophysical fluid simulations using generative models based on diffusion maps. By analyzing the Fourier spectra of images drawn from different data distributions, we show how one can chain together…

Machine Learning · Computer Science 2023-05-04 Tobias Bischoff , Katherine Deck

Denoising Diffusion Probabilistic Model (DDPM) is able to make flexible conditional image generation from prior noise to real data, by introducing an independent noise-aware classifier to provide conditional gradient guidance at each time…

Computer Vision and Pattern Recognition · Computer Science 2022-09-21 Shengming Li , Guangcong Zheng , Hui Wang , Taiping Yao , Yang Chen , Shoudong Ding , Xi Li

In physics, density $\rho(\cdot)$ is a fundamentally important scalar function to model, since it describes a scalar field or a probability density function that governs a physical process. Modeling $\rho(\cdot)$ typically scales poorly…

Computational Physics · Physics 2023-12-14 Maxwell X. Cai , Kin Long Kelvin Lee

Constructing subsurface facies models that are geologically plausible and constrained by well facies is essential for analyzing sedimentary evolution, reservoir characterization, and flow simulation. Recent deep generative model-based…

Geophysics · Physics 2026-03-10 Minghui Xu , Suihong Song , Tapan Mukerji

Accurate prediction of mobile traffic, i.e., network traffic from cellular base stations, is crucial for optimizing network performance and supporting urban development. However, the non-stationary nature of mobile traffic, driven by human…

Machine Learning · Computer Science 2025-06-30 Zhi Sheng , Daisy Yuan , Jingtao Ding , Yong Li

Transformers are often the go-to architecture to build foundation models that ingest a large amount of training data. But these models do not estimate the probability density distribution when trained on regression problems, yet obtaining…

Machine Learning · Computer Science 2024-07-23 Henry W. Leung , Jo Bovy , Joshua S. Speagle

This paper presents a novel theoretical framework for understanding how diffusion models can learn disentangled representations. Within this framework, we establish identifiability conditions for general disentangled latent variable models,…

Molecular representation learning has shown great success in advancing AI-based drug discovery. The core of many recent works is based on the fact that the 3D geometric structure of molecules provides essential information about their…

Machine Learning · Computer Science 2024-10-23 Jiying Zhang , Zijing Liu , Yu Wang , Yu Li

Cloth manipulation is challenging due to its highly complex dynamics, near-infinite degrees of freedom, and frequent self-occlusions, which complicate both state estimation and dynamics modeling. Inspired by recent advances in generative…

Robotics · Computer Science 2025-09-03 Tongxuan Tian , Haoyang Li , Bo Ai , Xiaodi Yuan , Zhiao Huang , Hao Su

Denoising diffusion models are a popular class of generative models providing state-of-the-art results in many domains. One adds gradually noise to data using a diffusion to transform the data distribution into a Gaussian distribution.…

Machine Learning · Computer Science 2023-08-21 Francisco Vargas , Will Grathwohl , Arnaud Doucet

We introduce DiffRF, a novel approach for 3D radiance field synthesis based on denoising diffusion probabilistic models. While existing diffusion-based methods operate on images, latent codes, or point cloud data, we are the first to…

Computer Vision and Pattern Recognition · Computer Science 2023-03-28 Norman Müller , Yawar Siddiqui , Lorenzo Porzi , Samuel Rota Bulò , Peter Kontschieder , Matthias Nießner

Remote sensing change detection is crucial for understanding the dynamics of our planet's surface, facilitating the monitoring of environmental changes, evaluating human impact, predicting future trends, and supporting decision-making. In…

Computer Vision and Pattern Recognition · Computer Science 2024-01-15 Wele Gedara Chaminda Bandara , Nithin Gopalakrishnan Nair , Vishal M. Patel

Diffusion models (DMs) have achieved state-of-the-art results for image synthesis tasks as well as density estimation. Applied in the latent space of a powerful pretrained autoencoder (LDM), their immense computational requirements can be…

Computer Vision and Pattern Recognition · Computer Science 2022-10-21 Jeremias Traub

Diffusion-based Deep Generative Models (DDGMs) offer state-of-the-art performance in generative modeling. Their main strength comes from their unique setup in which a model (the backward diffusion process) is trained to reverse the forward…

Machine Learning · Computer Science 2022-06-02 Kamil Deja , Anna Kuzina , Tomasz Trzciński , Jakub M. Tomczak

Discrete diffusion models have emerged as a promising direction for vision-language tasks, offering bidirectional context modeling and theoretical parallelization. However, their practical application is severely hindered by a…

Computation and Language · Computer Science 2025-10-24 Yatai Ji , Teng Wang , Yuying Ge , Zhiheng Liu , Sidi Yang , Ying Shan , Ping Luo

Recently, the diffusion model has emerged as a powerful generative technique for robotic policy learning, capable of modeling multi-mode action distributions. Leveraging its capability for end-to-end autonomous driving is a promising…

Computer Vision and Pattern Recognition · Computer Science 2025-04-11 Bencheng Liao , Shaoyu Chen , Haoran Yin , Bo Jiang , Cheng Wang , Sixu Yan , Xinbang Zhang , Xiangyu Li , Ying Zhang , Qian Zhang , Xinggang Wang

Is a deep learning model capable of understanding systems governed by certain first principle laws by only observing the system's output? Can deep learning learn the underlying physics and honor the physics when making predictions? The…

Computational Physics · Physics 2020-06-11 Rohan Thavarajah , Xiang Zhai , Zheren Ma , David Castineira