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This document describes analytical and numerical techniques for the generation of Gaussian density fields, which represent cosmological density perturbations. The mathematical techniques involved in the generation of density harmonics in…

Astrophysics · Physics 2007-05-23 Hugo Martel

There is strong empirical evidence that the state-of-the-art diffusion modeling paradigm leads to models that memorize the training set, especially when the training set is small. Prior methods to mitigate the memorization problem often…

Machine Learning · Computer Science 2026-03-03 Kulin Shah , Alkis Kalavasis , Adam R. Klivans , Giannis Daras

Deep image denoising networks have achieved impressive success with the help of a considerably large number of synthetic train datasets. However, real-world denoising is a still challenging problem due to the dissimilarity between…

Computer Vision and Pattern Recognition · Computer Science 2023-02-01 Seunghwan Lee , Tae Hyun Kim

Large-scale text-to-image generative models have shown remarkable ability to synthesize diverse and high-quality images. However, it is still challenging to directly apply these models for editing real images for two reasons. First, it is…

Computer Vision and Pattern Recognition · Computer Science 2025-08-19 Syed Muhmmad Israr , Feng Zhao

Score-based generative models can produce high quality image samples comparable to GANs, without requiring adversarial optimization. However, existing training procedures are limited to images of low resolution (typically below 32x32), and…

Machine Learning · Computer Science 2020-10-27 Yang Song , Stefano Ermon

Generating iris images which look realistic is both an interesting and challenging problem. Most of the classical statistical models are not powerful enough to capture the complicated texture representation in iris images, and therefore…

Computer Vision and Pattern Recognition · Computer Science 2018-12-27 Shervin Minaee , Amirali Abdolrashidi

Diffusion models for image generation function by progressively adding noise to an image set and training a model to separate out the signal from the noise. The noise profile used by these models is white noise -- that is, noise based on…

Computer Vision and Pattern Recognition · Computer Science 2025-07-09 Andrew Randono

In this paper, we propose a unified framework of denoising score-based models in the context of graduated non-convex energy minimization. We show that for sufficiently large noise variance, the associated negative log density -- the energy…

Machine Learning · Computer Science 2023-02-22 Erich Kobler , Thomas Pock

The latest developments in Artificial Intelligence include diffusion generative models, quite popular tools which can produce original images both unconditionally and, in some cases, conditioned by some inputs provided by the user. Apart…

Computer Vision and Pattern Recognition · Computer Science 2023-02-13 Stefano Scotta , Alberto Messina

We present Intrinsic Image Diffusion, a generative model for appearance decomposition of indoor scenes. Given a single input view, we sample multiple possible material explanations represented as albedo, roughness, and metallic maps.…

Computer Vision and Pattern Recognition · Computer Science 2024-03-22 Peter Kocsis , Vincent Sitzmann , Matthias Nießner

Low-light photography produces images with low signal-to-noise ratios due to limited photons. In such conditions, common approximations like the Gaussian noise model fall short, and many denoising techniques fail to remove noise…

Computer Vision and Pattern Recognition · Computer Science 2025-07-08 Liying Lu , Raphaël Achddou , Sabine Süsstrunk

We demonstrate the use of deep network to learn the distribution of data from state-of-the-art hydrodynamic simulations of the CAMELS project. To this end, we train a generative adversarial network to generate images composed of three…

Cosmology and Nongalactic Astrophysics · Physics 2024-10-25 Sambatra Andrianomena , Sultan Hassan , Francisco Villaescusa-Navarro

The advancements in the state of the art of generative Artificial Intelligence (AI) brought by diffusion models can be highly beneficial in novel contexts involving Earth observation data. After introducing this new family of generative…

Computer Vision and Pattern Recognition · Computer Science 2024-02-20 Fulvio Sanguigni , Mikolaj Czerkawski , Lorenzo Papa , Irene Amerini , Bertrand Le Saux

Probability density estimation is a classical and well studied problem, but standard density estimation methods have historically lacked the power to model complex and high-dimensional image distributions. More recent generative models…

Machine Learning · Computer Science 2019-02-27 Ryen Krusinga , Sohil Shah , Matthias Zwicker , Tom Goldstein , David Jacobs

Score-based diffusion modeling is a generative machine learning algorithm that can be used to sample from complex distributions. They achieve this by learning a score function, i.e., the gradient of the log-probability density of the data,…

Machine Learning · Computer Science 2025-12-17 Dibyajyoti Chakraborty , Haiwen Guan , Jason Stock , Troy Arcomano , Guido Cervone , Romit Maulik

Most existing theoretical investigations of the accuracy of diffusion models, albeit significant, assume the score function has been approximated to a certain accuracy, and then use this a priori bound to control the error of generation.…

Machine Learning · Computer Science 2024-10-29 Yuqing Wang , Ye He , Molei Tao

Recently, Generative Adversarial Networks (GANs) have emerged as a popular alternative for modeling complex high dimensional distributions. Most of the existing works implicitly assume that the clean samples from the target distribution are…

Machine Learning · Statistics 2019-02-14 Mohammadreza Soltani , Swayambhoo Jain , Abhinav Sambasivan

Generative diffusion processes are an emerging and effective tool for image and speech generation. In the existing methods, the underlying noise distribution of the diffusion process is Gaussian noise. However, fitting distributions with…

Signal Processing · Electrical Eng. & Systems 2021-10-13 Eliya Nachmani , Robin San Roman , Lior Wolf

Diffusion models have been used in cosmological applications as a generative model for fast simulations and to reconstruct underlying cosmological fields or astrophysical images from noisy data. These two tasks are often treated as…

Cosmology and Nongalactic Astrophysics · Physics 2025-02-07 Supranta S. Boruah , Michael Jacob , Bhuvnesh Jain

We perform numerical evolutions of cosmological scenarios using a standard general relativistic code in spherical symmetry. We concentrate on two different situations: initial matter distributions that are homogeneous and isotropic, and…

General Relativity and Quantum Cosmology · Physics 2014-12-09 Jose M. Torres , Miguel Alcubierre , Alberto Diez-Tejedor , Dario Nunez
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