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Data imputation and data generation have important applications for many domains, like healthcare and finance, where incomplete or missing data can hinder accurate analysis and decision-making. Diffusion models have emerged as powerful…

Machine Learning · Computer Science 2025-06-10 Mario Villaizán-Vallelado , Matteo Salvatori , Carlos Segura , Ioannis Arapakis

The completion, extension, and generation of 3D semantic scenes are an interrelated set of capabilities that are useful for robotic navigation and exploration. Existing approaches seek to decouple these problems and solve them one-off.…

Computer Vision and Pattern Recognition · Computer Science 2026-04-02 Xujia Zhang , Brendan Crowe , Christoffer Heckman

Diffusion Probabilistic Models stand as a critical tool in generative modelling, enabling the generation of complex data distributions. This family of generative models yields record-breaking performance in tasks such as image synthesis,…

High-quality reconstruction of Aerosol Optical Depth (AOD) fields is critical for Atmosphere monitoring, yet current models remain constrained by the scarcity of complete training data and a lack of uncertainty quantification.To address…

Machine Learning · Computer Science 2026-01-01 Linhao Fan , Hongqiang Fang , Jingyang Dai , Yong Jiang , Qixing Zhang

Diffusion models have found widespread adoption in various areas. However, their sampling process is slow because it requires hundreds to thousands of network evaluations to emulate a continuous process defined by differential equations. In…

Machine Learning · Computer Science 2023-07-25 Hongkai Zheng , Weili Nie , Arash Vahdat , Kamyar Azizzadenesheli , Anima Anandkumar

We propose a novel diffusion model, termed the non-identical diffusion model, and investigate its application to wireless orthogonal frequency division multiplexing (OFDM) channel generation. Unlike the standard diffusion model that uses a…

Signal Processing · Electrical Eng. & Systems 2026-01-30 Yuzhi Yang , Omar Alhussein , Mérouane Debbah

Fine-grained air pollution forecasting is crucial for urban management and the development of healthy buildings. Deploying portable sensors on mobile platforms such as cars and buses offers a low-cost, easy-to-maintain, and wide-coverage…

Machine Learning · Computer Science 2025-12-05 Nan Zhou , Weijie Hong , Huandong Wang , Jianfeng Zheng , Qiuhua Wang , Yali Song , Xiao-Ping Zhang , Yong Li , Xinlei Chen

This work introduces NetDiff, an expressive graph denoising diffusion probabilistic architecture that generates wireless ad hoc network link topologies. Such networks, with directional antennas, can achieve unmatched performance when the…

Social and Information Networks · Computer Science 2024-10-14 Félix Marcoccia , Cédric Adjih , Paul Mühlethaler

Diffusion models have emerged as a powerful framework in generative modeling, typically relying on optimizing neural networks to estimate the score function via forward SDE simulations. In this work, we propose an alternative method that is…

Numerical Analysis · Mathematics 2025-06-17 Yuehaw Khoo , Mathias Oster , Yifan Peng

Finding frequently occurring subgraph patterns or network motifs in neural architectures is crucial for optimizing efficiency, accelerating design, and uncovering structural insights. However, as the subgraph size increases,…

Machine Learning · Computer Science 2026-02-04 Yikang Yang , Zhengxin Yang , Minghao Luo , Luzhou Peng , Hongxiao Li , Wanling Gao , Lei Wang , Jianfeng Zhan

Accurate long-term traffic forecasting remains a critical challenge in intelligent transportation systems, particularly when predicting high-frequency traffic phenomena such as shock waves and congestion boundaries over extended rollout…

Machine Learning · Computer Science 2025-08-28 Owais Ahmad , Milad Ramezankhani , Anirudh Deodhar

Ordinary differential equations (ODEs) are central to scientific modelling, but inferring their vector fields from noisy trajectories remains challenging. Current approaches such as symbolic regression, Gaussian process (GP) regression, and…

Machine Learning · Computer Science 2026-02-10 Maximilian Mauel , Johannes R. Hübers , David Berghaus , Patrick Seifner , Ramses J. Sanchez

Diffusion and flow matching models generate high-fidelity data by simulating paths defined by Ordinary or Stochastic Differential Equations (ODEs/SDEs), starting from a tractable prior distribution. The probability flow ODE formulation…

Computer Vision and Pattern Recognition · Computer Science 2026-03-19 Liangyu Yuan , Ruoyu Wang , Tong Zhao , Dingwen Fu , Mingkun Lei , Beier Zhu , Chi Zhang

Although generative AI has been successful in many areas, its ability to model geospatial data is still underexplored. Urban flow, a typical kind of geospatial data, is critical for a wide range of urban applications. Existing studies…

Artificial Intelligence · Computer Science 2023-09-20 Zhilun Zhou , Jingtao Ding , Yu Liu , Depeng Jin , Yong Li

Denoising diffusion models are a novel class of generative models that have recently become extremely popular in machine learning. In this paper, we describe how such ideas can also be used to sample from posterior distributions and, more…

Computation · Statistics 2023-08-29 Jeremy Heng , Valentin De Bortoli , Arnaud Doucet

Graph generative models have broad applications in biology, chemistry and social science. However, modelling and understanding the generative process of graphs is challenging due to the discrete and high-dimensional nature of graphs, as…

Machine Learning · Computer Science 2022-12-06 Han Huang , Leilei Sun , Bowen Du , Yanjie Fu , Weifeng Lv

Diffusion models offer stable training and state-of-the-art performance for deep generative modeling tasks. Here, we consider their use in the context of multivariate subsurface modeling and probabilistic inversion. We first demonstrate…

Computer Vision and Pattern Recognition · Computer Science 2026-01-28 Roberto Miele , Niklas Linde

Computational fluid dynamics (CFD) is a powerful tool for modeling turbulent flow and is commonly used for urban microclimate simulations. However, traditional CFD methods are computationally intensive, requiring substantial hardware…

In recent years we have witnessed a growth in mathematics for deep learning, which has been used to solve inverse problems of partial differential equations (PDEs). However, most deep learning-based inversion methods either require paired…

Numerical Analysis · Mathematics 2024-04-23 Enze Jiang , Jishen Peng , Zheng Ma , Xiong-Bin Yan

Denoising diffusion probabilistic models have been recently proposed to generate high-quality samples by estimating the gradient of the data density. The framework defines the prior noise as a standard Gaussian distribution, whereas the…

Machine Learning · Statistics 2022-02-22 Sang-gil Lee , Heeseung Kim , Chaehun Shin , Xu Tan , Chang Liu , Qi Meng , Tao Qin , Wei Chen , Sungroh Yoon , Tie-Yan Liu
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