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Variable selection for high-dimensional, highly correlated data has long been a challenging problem, often yielding unstable and unreliable models. We propose a resample-aggregate framework that exploits diffusion models' ability to…

统计方法学 · 统计学 2025-08-20 Minjie Wang , Xiaotong Shen , Wei Pan

High-fidelity spectrum cartography is pivotal for spectrum management and wireless situational awareness, yet it remains a challenging ill-posed inverse problem due to the sparsity and irregularity of observations. Furthermore, existing…

信息论 · 计算机科学 2025-12-24 Yuntong Gu , Xiangming meng , Zhiyuan Lin , Sheng Wu , Linling Kuang

Diffusion models have been widely studied as effective generative tools for solving inverse problems. The main ideas focus on performing the reverse sampling process conditioned on noisy measurements, using well-established numerical…

数值分析 · 数学 2024-10-29 Xiang Cao , Xiaoqun Zhang

Diffusion models benefit from instillation of task-specific information into the score function to steer the sample generation towards desired properties. Such information is coined as guidance. For example, in text-to-image synthesis, text…

机器学习 · 计算机科学 2024-03-05 Yuchen Wu , Minshuo Chen , Zihao Li , Mengdi Wang , Yuting Wei

Discrete-time diffusion-based generative models and score matching methods have shown promising results in modeling high-dimensional image data. Recently, Song et al. (2021) show that diffusion processes that transform data into noise can…

机器学习 · 计算机科学 2021-10-01 Chin-Wei Huang , Jae Hyun Lim , Aaron Courville

Diffusion models have been demonstrated as strong priors for solving general inverse problems. Most existing Diffusion model-based Inverse Problem Solvers (DIS) employ a plug-and-play approach to guide the sampling trajectory with either…

计算机视觉与模式识别 · 计算机科学 2024-07-18 Jiankun Zhao , Bowen Song , Liyue Shen

Plug-and-play approaches to solving inverse problems such as restoration and super-resolution have recently benefited from Diffusion-based generative priors for natural as well as medical images. However, solutions often use the standard…

图像与视频处理 · 电气工程与系统科学 2025-04-29 Saikat Roy , Mahmoud Mostapha , Radu Miron , Matt Holbrook , Mariappan Nadar

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…

宇宙学与河外天体物理 · 物理学 2025-02-07 Supranta S. Boruah , Michael Jacob , Bhuvnesh Jain

Diffusion models have recently emerged as a powerful framework for generative modeling. They consist of a forward process that perturbs input data with Gaussian white noise and a reverse process that learns a score function to generate…

A recent line of research has exploited pre-trained generative diffusion models as priors for solving Bayesian inverse problems. We contribute to this research direction by designing a sequential Monte Carlo method for linear-Gaussian…

机器学习 · 计算机科学 2025-10-13 Filip Ekström Kelvinius , Zheng Zhao , Fredrik Lindsten

We present a likelihood-free probabilistic inversion method based on normalizing flows for high-dimensional inverse problems. The proposed method is composed of two complementary networks: a summary network for data compression and an…

机器学习 · 计算机科学 2024-12-30 Jice Zeng , Yuanzhe Wang , Alexandre M. Tartakovsky , David Barajas-Solano

We present Wideband Back-Projection Diffusion, an end-to-end probabilistic framework for approximating the posterior distribution induced by the inverse scattering map from wideband scattering data. This framework produces highly accurate…

机器学习 · 计算机科学 2025-05-20 Borong Zhang , Martín Guerra , Qin Li , Leonardo Zepeda-Núñez

Recent literature has effectively leveraged diffusion models trained on continuous variables as priors for solving inverse problems. Notably, discrete diffusion models with discrete latent codes have shown strong performance, particularly…

计算机视觉与模式识别 · 计算机科学 2025-09-22 Naoki Murata , Chieh-Hsin Lai , Yuhta Takida , Toshimitsu Uesaka , Bac Nguyen , Stefano Ermon , Yuki Mitsufuji

Data Augmentation (DA), i.e., synthesizing faithful and diverse samples to expand the original training set, is a prevalent and effective strategy to improve the performance of various data-scarce tasks. With the powerful image generation…

计算机视觉与模式识别 · 计算机科学 2024-11-22 Yanghao Wang , Long Chen

Diffusion models are widely used as priors in imaging inverse problems. However, their performance often degrades under distribution shifts between the training and test-time images. Existing methods for identifying and quantifying…

计算机视觉与模式识别 · 计算机科学 2025-05-27 Shirin Shoushtari , Edward P. Chandler , Yuanhao Wang , M. Salman Asif , Ulugbek S. Kamilov

Solving inverse problems in imaging requires models that support efficient inference, uncertainty quantification, and principled probabilistic reasoning. Energy-Based Models (EBMs), with their interpretable energy landscapes and…

图像与视频处理 · 电气工程与系统科学 2026-01-07 Jyothi Rikhab Chand , Mathews Jacob

We propose to solve inverse problems involving the temporal evolution of physics systems by leveraging recent advances from diffusion models. Our method moves the system's current state backward in time step by step by combining an…

机器学习 · 计算机科学 2023-12-06 Benjamin J. Holzschuh , Simona Vegetti , Nils Thuerey

We introduce Diffusion Active Learning, a novel approach that combines generative diffusion modeling with data-driven sequential experimental design to adaptively acquire data for inverse problems. Although broadly applicable, we focus on…

机器学习 · 计算机科学 2025-04-07 Luis Barba , Johannes Kirschner , Tomas Aidukas , Manuel Guizar-Sicairos , Benjamín Béjar

Score-based generative models (SGMs) have recently emerged as a promising class of generative models. However, a fundamental limitation is that their inference is very slow due to a need for many (e.g., 2000) iterations of sequential…

计算机视觉与模式识别 · 计算机科学 2022-12-06 Hengyuan Ma , Li Zhang , Xiatian Zhu , Jianfeng Feng

Diffusion models have been successfully adapted to text generation tasks by mapping the discrete text into the continuous space. However, there exist nonnegligible gaps between training and inference, owing to the absence of the forward…

计算与语言 · 计算机科学 2023-05-09 Zecheng Tang , Pinzheng Wang , Keyan Zhou , Juntao Li , Ziqiang Cao , Min Zhang