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Diffusion models provide expressive priors for forecasting trajectories of dynamical systems, but are typically unreliable in the sparse data regime. Physics-informed machine learning (PIML) improves reliability in such settings; however,…

Machine Learning · Computer Science 2026-01-30 Kaiyuan Tan , Kendra Givens , Peilun Li , Thomas Beckers

Seismic data processing involves techniques to deal with undesired effects that occur during acquisition and pre-processing. These effects mainly comprise coherent artefacts such as multiples, non-coherent signals such as electrical noise,…

Signal Processing · Electrical Eng. & Systems 2023-06-14 Ricard Durall , Ammar Ghanim , Mario Fernandez , Norman Ettrich , Janis Keuper

Diffusion Map is a spectral dimensionality reduction technique which is able to uncover nonlinear submanifolds in high-dimensional data. And, it is increasingly applied across a wide range of scientific disciplines, such as biology,…

Machine Learning · Computer Science 2026-01-29 Sönke Beier , Paula Pirker-Díaz , Friedrich Pagenkopf , Karoline Wiesner

This paper presents a novel methodology for generating realistic abundance maps from hyperspectral imagery using an unsupervised, deep-learning-driven approach. Our framework integrates blind linear hyperspectral unmixing with…

Computer Vision and Pattern Recognition · Computer Science 2025-06-17 Martina Pastorino , Michael Alibani , Nicola Acito , Gabriele Moser

A generative diffusion model is used to produce probabilistic ensembles of precipitation intensity maps at the 1-hour 5-km resolution. The generation is conditioned on infrared and microwave radiometric measurements from the GOES and DMSP…

Atmospheric and Oceanic Physics · Physics 2024-09-26 Clement Guilloteau , Gavin Kerrigan , Kai Nelson , Giosue Migliorini , Padhraic Smyth , Runze Li , Efi Foufoula-Georgiou

Spatial profiling technologies in biology, such as imaging mass cytometry (IMC) and spatial transcriptomics (ST), generate high-dimensional, multi-channel data with strong spatial alignment and complex inter-channel relationships.…

Machine Learning · Computer Science 2025-07-08 Haoran Zhang , Mingyuan Zhou , Wesley Tansey

Diffusion Probabilistic Models (DPMs) are powerful generative models that have achieved unparalleled success in a number of generative tasks. In this work, we aim to build inductive biases into the training and sampling of diffusion models…

Machine Learning · Computer Science 2025-03-14 Thomas Jiralerspong , Berton Earnshaw , Jason Hartford , Yoshua Bengio , Luca Scimeca

A fundamental building block for supporting better utilization of radio spectrum involves predicting the impact that an emitter will have at different geographic locations. To this end, fixed sensors can be deployed to spatially sample the…

Computational Engineering, Finance, and Science · Computer Science 2016-11-14 Shweta Sagari , Larry Greenstein , Wade Trappe

Diffusion Maps framework is a kernel based method for manifold learning and data analysis that defines diffusion similarities by imposing a Markovian process on the given dataset. Analysis by this process uncovers the intrinsic geometric…

Machine Learning · Statistics 2015-11-20 Moshe Salhov , Amit Bermanis , Guy Wolf , Amir Averbuch

This paper presents a novel physics-informed diffusion model for generating synthetic net load data, addressing the challenges of data scarcity and privacy concerns. The proposed framework embeds physical models within denoising networks,…

Machine Learning · Computer Science 2024-06-05 Shaorong Zhang , Yuanbin Cheng , Nanpeng Yu

Generating realistic 3D point clouds is a fundamental problem in computer vision with applications in remote sensing, robotics, and digital object modeling. Existing generative approaches primarily capture geometry, and when semantics are…

Computer Vision and Pattern Recognition · Computer Science 2025-09-23 Gunner Stone , Sushmita Sarker , Alireza Tavakkoli

We present a conditional diffusion model for electromagnetic inverse design that generates structured media geometries directly from target differential scattering cross-section profiles, bypassing expensive iterative optimization. Our 1D…

Machine Learning · Computer Science 2025-11-10 Mikhail Tsukerman , Konstantin Grotov , Pavel Ginzburg

This work introduces the Grassmannian Diffusion Maps, a novel nonlinear dimensionality reduction technique that defines the affinity between points through their representation as low-dimensional subspaces corresponding to points on the…

Machine Learning · Computer Science 2021-06-02 K. R. M. dos Santos , D. G. Giovanis , M. D. Shields

Image fusion integrates complementary information from multi-source images to generate more informative results. Recently, the diffusion model, which demonstrates unprecedented generative potential, has been explored in image fusion.…

Computer Vision and Pattern Recognition · Computer Science 2025-03-25 Bing Cao , Baoshuo Cai , Changqing Zhang , Qinghua Hu

One little-explored frontier of image generation and editing is the task of interpolating between two input images, a feature missing from all currently deployed image generation pipelines. We argue that such a feature can expand the…

Computer Vision and Pattern Recognition · Computer Science 2023-07-25 Clinton J. Wang , Polina Golland

Physics-informed neural networks (PINNs) offer a powerful framework for seismic wavefield modeling, yet they typically require time-consuming retraining when applied to different velocity models. Moreover, their training can suffer from…

Geophysics · Physics 2025-06-03 Shijun Cheng , Tariq Alkhalifah

This paper aims to address the challenge of data generation beyond the training data and proposes a framework for Structural Extrapolated Data GEneration (SEDGE) based on suitable assumptions on the underlying data-generating process. We…

Machine Learning · Computer Science 2026-05-15 Kun Zhang , Jiaqi Sun , Yiqing Li , Ignavier Ng , Namrata Deka , Shaoan Xie

Reaction-diffusion (Turing) systems are fundamental to the formation of spatial patterns in nature and engineering. These systems are governed by a set of non-linear partial differential equations containing parameters that determine the…

Machine Learning · Computer Science 2022-11-28 Jordon Kho , Winston Koh , Jian Cheng Wong , Pao-Hsiung Chiu , Chin Chun Ooi

Despite the recent advancements, conditional image generation still faces challenges of cost, generalizability, and the need for task-specific training. In this paper, we propose Manifold Preserving Guided Diffusion (MPGD), a training-free…

Diffusion models are among the most effective methods for image generation. This is in particular because, unlike GANs, they can be easily conditioned during training to produce elements with desired class or properties. However, guiding a…

Computer Vision and Pattern Recognition · Computer Science 2024-07-19 Mateusz Poleski , Jacek Tabor , Przemysław Spurek
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