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We present a class of diffusion-based algorithms to draw samples from high-dimensional probability distributions given their unnormalized densities. Ideally, our methods can transport samples from a Gaussian distribution to a specified…

Machine Learning · Computer Science 2025-02-04 Anand Jerry George , Nicolas Macris

We introduce a new approach to prediction in graphical models with latent-shift adaptation, i.e., where source and target environments differ in the distribution of an unobserved confounding latent variable. Previous work has shown that as…

Machine Learning · Statistics 2023-06-26 William I. Walker , Arthur Gretton , Maneesh Sahani

While diffusion models can successfully generate data and make predictions, they are predominantly designed for static images. We propose an approach for efficiently training diffusion models for probabilistic spatiotemporal forecasting,…

Machine Learning · Computer Science 2023-10-12 Salva Rühling Cachay , Bo Zhao , Hailey Joren , Rose Yu

The rare-event sampling problem has long been the central limiting factor in molecular dynamics (MD), especially in biomolecular simulation. Recently, diffusion models such as BioEmu have emerged as powerful equilibrium samplers that…

Data assimilation is widely used in many disciplines such as meteorology, oceanography, and robotics to estimate the state of a dynamical system from noisy observations. In this work, we propose a lightweight and general method to perform…

Machine Learning · Computer Science 2025-10-02 Thomas Savary , François Rozet , Gilles Louppe

Diffusion models are a powerful framework for tackling ill-posed problems, with recent advancements extending their use to point cloud upsampling. Despite their potential, existing diffusion models struggle with inefficiencies as they map…

Computer Vision and Pattern Recognition · Computer Science 2025-01-28 Zhi-Song Liu , Chenhang He , Lei Li

Significant advancements in the development of machine learning (ML) models for weather forecasting have produced remarkable results. State-of-the-art ML-based weather forecast models, such as FuXi, have demonstrated superior statistical…

Machine Learning · Computer Science 2023-11-01 Xiaohui Zhong , Lei Chen , Jun Liu , Chensen Lin , Yuan Qi , Hao Li

We propose a new, efficient multi-scale method to decompose a map (or signal in general) into components maps that contain structures of different sizes. In the widely-used wave transform, artifacts containing negative values arise around…

Instrumentation and Methods for Astrophysics · Physics 2022-04-11 Guang-Xing Li

Image restoration under adverse weather conditions has been of significant interest for various computer vision applications. Recent successful methods rely on the current progress in deep neural network architectural designs (e.g., with…

Computer Vision and Pattern Recognition · Computer Science 2024-10-28 Ozan Özdenizci , Robert Legenstein

Dimension-reduction techniques can greatly improve statistical inference in astronomy. A standard approach is to use Principal Components Analysis (PCA). In this work we apply a recently-developed technique, diffusion maps, to astronomical…

Astrophysics · Physics 2011-02-11 Joseph W. Richards , Peter E. Freeman , Ann B. Lee , Chad M. Schafer

Atmospheric aerosols influence the Earth's climate, primarily by affecting cloud formation and scattering visible radiation. However, aerosol-related physical processes in climate simulations are highly uncertain. Constraining these…

Understanding the risks posed by extreme rainfall events requires analysis of precipitation fields with high resolution (to assess localized hazards) and extensive historical coverage (to capture sufficient examples of rare occurrences).…

Machine Learning · Computer Science 2025-11-07 Yuhao Liu , James Doss-Gollin , Qiushi Dai , Ashok Veeraraghavan , Guha Balakrishnan

Effective climate risk assessment is hindered by the resolution gap between coarse global climate models and the fine-scale information needed for regional decisions. We introduce GenFocal, an AI framework that generates statistically…

Machine Learning · Computer Science 2026-04-08 Zhong Yi Wan , Ignacio Lopez-Gomez , Robert Carver , Tapio Schneider , John Anderson , Fei Sha , Leonardo Zepeda-Núñez

To address the uncertainty in outputs of numerical weather prediction (NWP) models, ensembles of forecasts are used. To obtain such an ensemble of forecasts the NWP model is run multiple times, each time with different formulations and/or…

Applications · Statistics 2016-05-25 Annette Möller , Jürgen Groß

Remote sensing imagery is essential for environmental monitoring, agricultural management, and disaster response. However, data loss due to cloud cover, sensor failures, or incomplete acquisition-especially in high-resolution and…

Computer Vision and Pattern Recognition · Computer Science 2025-04-17 Zhenyu Yu , Mohd Yamani Inda Idris , Pei Wang

Denoising diffusion probabilistic models (DDPM) are a class of generative models which have recently been shown to produce excellent samples. We show that with a few simple modifications, DDPMs can also achieve competitive log-likelihoods…

Machine Learning · Computer Science 2021-02-22 Alex Nichol , Prafulla Dhariwal

Diffusion generative models have excelled at diverse image generation and reconstruction tasks across fields. A less explored avenue is their application to discriminative tasks involving regression or classification problems. The…

Cosmology and Nongalactic Astrophysics · Physics 2025-02-26 Nayantara Mudur , Carolina Cuesta-Lazaro , Douglas P. Finkbeiner

Accurate camera viewpoint estimation under sparse-view conditions remains challenging, particularly in two-view scenarios. Recent approaches leverage diffusion models such as Zero123 to synthesize novel views conditioned on relative…

Computer Vision and Pattern Recognition · Computer Science 2026-05-20 Yan-Ting Chen , Hao-Wei Chen , Tsu-Ching Hsiao , Chun-Yi Lee

Deep learning has emerged as a promising tool for precipitation downscaling. However, current models rely on likelihood-based loss functions to properly model the precipitation distribution, leading to spatially inconsistent projections…

Atmospheric and Oceanic Physics · Physics 2024-08-02 Jose González-Abad

Diffusion models are a class of probabilistic generative models that have been widely used as a prior for image processing tasks like text conditional generation and inpainting. We demonstrate that these models can be adapted to make…

Machine Learning · Computer Science 2023-06-14 Marc Finzi , Anudhyan Boral , Andrew Gordon Wilson , Fei Sha , Leonardo Zepeda-Núñez