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Diffusion models have emerged as a dominant framework for generative modeling, but their mathematical foundations are often presented separately through diffusion probabilistic models, score-based modeling, stochastic differential…

Machine Learning · Computer Science 2026-05-29 Jiayi Fu , Yuxia Wang

This study investigates the use of score-based generative models for reservoir simulation, with a focus on reconstructing spatially varying permeability and saturation fields in saline aquifers, inferred from sparse observations at two well…

Machine Learning · Computer Science 2025-04-10 Shiqin Zeng , Haoyun Li , Abhinav Prakash Gahlot , Felix J. Herrmann

Understanding galaxy morphology evolution across cosmic time requires models that can generate realistic galaxy populations conditioned on redshift. In this work, we study efficient redshift-conditioned generative modeling for astrophysical…

Instrumentation and Methods for Astrophysics · Physics 2026-05-19 Tianyue Yang , Sandro Tacchella , Xiao Xue

Modern spectroscopic surveys can only target a small fraction of the vast amount of photometrically cataloged sources in wide-field surveys. Here, we report the development of a generative AI method capable of predicting optical galaxy…

Long scan time significantly hinders the widespread applications of three-dimensional multi-contrast cardiac magnetic resonance (3D-MC-CMR) imaging. This study aims to accelerate 3D-MC-CMR acquisition by a novel method based on score-based…

Signal Processing · Electrical Eng. & Systems 2024-10-29 Yuanyuan Liu , Zhuo-Xu Cui , Shucong Qin , Congcong Liu , Hairong Zheng , Haifeng Wang , Yihang Zhou , Dong Liang , Yanjie Zhu

We present high-resolution mass reconstructions for five massive cluster-lenses spanning a redshift range from z = 0.18 - 0.57 utilizing archival Hubble Space Telescope data and applying galaxy-galaxy lensing techniques. These detailed mass…

Astrophysics · Physics 2007-05-23 Priyamvada Natarajan , Jean-Paul Kneib , Ian Smail , Richard Ellis

I review the status of large-scale structure studies based on redshift surveys of galaxies and clusters of galaxies. In particular, I compare recent results on the power spectrum and two-point correlation correlation function from the 2dF…

Astrophysics · Physics 2007-05-23 L. Guzzo

One way of recovering information about the initial conditions of the Universe is by measuring features of the cosmological density field which are preserved during gravitational evolution and galaxy formation. In this paper we study the…

Astrophysics · Physics 2016-08-30 Rupert A. C. Croft , Enrique Gaztanaga

Surveys of galaxy clusters provide a promising method of testing models of structure formation in the universe. Within the context of our standard structure formation scenario, surveys provide measurements of the geometry of the universe…

Astrophysics · Physics 2007-05-23 Joseph J. Mohr

Score-based diffusion models demonstrate superior performance in generative tasks but encounter fundamental bottlenecks in inverse problems due to the analytical intractability of the time-dependent likelihood score. To bridge this gap, we…

Optimization and Control · Mathematics 2026-05-28 Boyang Zhang , Zhiguo Wang , Ya-Feng Liu

Inferring accurate posteriors for high-dimensional representations of the brightness of gravitationally-lensed sources is a major challenge, in part due to the difficulties of accurately quantifying the priors. Here, we report the use of a…

Instrumentation and Methods for Astrophysics · Physics 2022-11-30 Alexandre Adam , Adam Coogan , Nikolay Malkin , Ronan Legin , Laurence Perreault-Levasseur , Yashar Hezaveh , Yoshua Bengio

The dark sirens method combines gravitational waves and catalogs of galaxies to constrain the cosmological expansion history, merger rates and mass distributions of compact objects, and the laws of gravity. However, the incompleteness of…

Cosmology and Nongalactic Astrophysics · Physics 2024-12-09 Konstantin Leyde , Tessa Baker , Wolfgang Enzi

Strong gravitational lensing offers a powerful probe of the detailed distribution of matter in lenses, while magnifying and bringing faint background sources into view. Observed strong lensing by massive galaxy clusters, which are often in…

Cosmology and Nongalactic Astrophysics · Physics 2024-05-29 Yarone M. Tokayer , Isaque Dutra , Priyamvada Natarajan , Guillaume Mahler , Mathilde Jauzac , Massimo Meneghetti

Rich and massive clusters of galaxies at intermediate redshift are capable of magnifying and distorting the images of background galaxies. A comparison of different mass estimators among these clusters can provide useful information about…

Astrophysics · Physics 2009-10-30 Xiang-Ping Wu , Tzihong Chiueh , Li-Zhi Fang , Yan-Jie Xue

We propose a novel technique to refine the modelling of galaxy clusters mass distribution using gravitational lensing. The idea is to combine the strengths of both "parametric" and "non-parametric" methods to improve the quality of the fit.…

Cosmology and Nongalactic Astrophysics · Physics 2009-11-13 Eric Jullo , Jean-Paul Kneib

How do score-based generative models (SBMs) learn the data distribution supported on a low-dimensional manifold? We investigate the score model of a trained SBM through its linear approximations and subspaces spanned by local feature…

Machine Learning · Statistics 2023-11-17 Li Kevin Wenliang , Ben Moran

Galaxy clusters can be used as powerful cosmological probes, provided one can obtain accurate mass estimates, which requires a precise knowledge of the underlying astrophysics of galaxy clusters. For these purposes, spatially resolved…

Cosmology and Nongalactic Astrophysics · Physics 2025-11-12 R. Wicker , M. De Petris , A. Ferragamo , I. Bartalucci , G. Yepes , E. Rasia , R. Adam , W. Cui , F. Mayet , L. Perotto , M. Muñoz-Echeverría

Recent advances in generative models have made exploring design spaces easier for de novo molecule generation. However, popular generative models like GANs and normalizing flows face challenges such as training instabilities due to…

While learned image compression (LIC) focuses on efficient data transmission, generative image compression (GIC) extends this framework by integrating generative modeling to produce photo-realistic reconstructed images. In this paper, we…

Image and Video Processing · Electrical Eng. & Systems 2025-05-28 Minghao Han , Weiyi You , Jinhua Zhang , Leheng Zhang , Ce Zhu , Shuhang Gu

Numerous stellar surveys have been or will provide photometric, astrometric, and spectroscopic data for a large number of stars in the Milky Way and neighbouring galaxies. Modern data processing tools and analysis methods are needed to deal…

Solar and Stellar Astrophysics · Physics 2025-03-05 Sergen Özdemir , John Eduard Martínez-Fernández , Rodolfo Smiljanic