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There is a rich literature proposing methods and establishing asymptotic properties of Bayesian variable selection methods for parametric models, with a particular focus on the normal linear regression model and an increasing emphasis on…

Statistics Theory · Mathematics 2011-08-16 Suprateek Kundu , David B. Dunson

Despite the recent visually-pleasing results achieved, the massive computational cost has been a long-standing flaw for diffusion probabilistic models (DPMs), which, in turn, greatly limits their applications on resource-limited platforms.…

Computer Vision and Pattern Recognition · Computer Science 2022-12-01 Xingyi Yang , Daquan Zhou , Jiashi Feng , Xinchao Wang

In fluorescence microscopy, spectral unmixing aims to recover individual fluorophore concentrations from spectral images that capture mixed fluorophore emissions. Since classical methods operate pixel-wise and rely on least-squares fitting,…

Computer Vision and Pattern Recognition · Computer Science 2026-03-26 Federico Carrara , Talley Lambert , Mehdi Seifi , Florian Jug

We provide a framework for solving inverse problems with diffusion models learned from linearly corrupted data. Firstly, we extend the Ambient Diffusion framework to enable training directly from measurements corrupted in the Fourier…

Computer Vision and Pattern Recognition · Computer Science 2025-04-23 Asad Aali , Giannis Daras , Brett Levac , Sidharth Kumar , Alexandros G. Dimakis , Jonathan I. Tamir

Several approaches have been proposed to solve the spectral unmixing problem in hyperspectral image analysis. Among them the use of sparse regression techniques aims to characterize the abundances in pixels based on a large library of…

Image and Video Processing · Electrical Eng. & Systems 2021-02-12 L. C. Ayres , S. J. M. de Almeida , J. C. M. Bermudez , R. A. Borsoi

Diffusion models have recently shown considerable potential in solving Bayesian inverse problems when used as priors. However, sampling from the resulting denoising posterior distributions remains a challenge as it involves intractable…

Machine Learning · Statistics 2024-12-25 Badr Moufad , Yazid Janati , Lisa Bedin , Alain Durmus , Randal Douc , Eric Moulines , Jimmy Olsson

Despite significant progress in generative modelling, existing diffusion models often struggle to produce anatomically precise female pelvic images, limiting their application in gynaecological imaging, where data scarcity and patient…

Image and Video Processing · Electrical Eng. & Systems 2025-08-26 Johanna P. Müller , Anika Knupfer , Pedro Blöss , Edoardo Berardi Vittur , Bernhard Kainz , Jana Hutter

The problem of unsupervised learning and segmentation of hyperspectral images is a significant challenge in remote sensing. The high dimensionality of hyperspectral data, presence of substantial noise, and overlap of classes all contribute…

Computer Vision and Pattern Recognition · Computer Science 2018-10-17 James M. Murphy , Mauro Maggioni

This technical report presents a variational Bayes algorithm for semisupervised hyperspectral image unmixing. The presented Bayesian model employs a heavy tailed, nonnegatively truncated Laplace prior over the abundance coefficients. This…

Diffusion models have emerged as powerful generative tools with applications in computer vision and scientific machine learning (SciML), where they have been used to solve large-scale probabilistic inverse problems. Traditionally, these…

Diffusion models have recently driven significant breakthroughs in generative modeling. While state-of-the-art models produce high-quality samples on average, individual samples can still be low quality. Detecting such samples without human…

Machine Learning · Computer Science 2025-06-13 Metod Jazbec , Eliot Wong-Toi , Guoxuan Xia , Dan Zhang , Eric Nalisnick , Stephan Mandt

Diffusion models have excellent capacity to model complex distributions of natural data, which has made them a popular and effective choice for posterior sampling in imaging inverse problems. Existing methods can incorporate any measurement…

Machine Learning · Computer Science 2026-05-29 Benjamin A. Burns , Sara Fridovich-Keil

Hyperspectral anomaly detection (HAD) is widely used in Earth observation and deep space exploration. A major challenge for HAD is the complex background of the input hyperspectral images (HSIs), resulting in anomalies confused in the…

Computer Vision and Pattern Recognition · Computer Science 2026-02-27 Jitao Ma , Weiying Xie , Yunsong Li , Leyuan Fang

Many interesting tasks in image restoration can be cast as linear inverse problems. A recent family of approaches for solving these problems uses stochastic algorithms that sample from the posterior distribution of natural images given the…

Image and Video Processing · Electrical Eng. & Systems 2022-10-14 Bahjat Kawar , Michael Elad , Stefano Ermon , Jiaming Song

Diffusion probabilistic models (DPMs) have shown remarkable results on various image synthesis tasks such as text-to-image generation and image inpainting. However, compared to other generative methods like VAEs and GANs, DPMs lack a…

Computer Vision and Pattern Recognition · Computer Science 2023-07-13 Yipeng Leng , Qiangjuan Huang , Zhiyuan Wang , Yangyang Liu , Haoyu Zhang

Bayesian methods are appealing in their flexibility in modeling complex data and ability in capturing uncertainty in parameters. However, when Bayes' rule does not result in tractable closed-form, most approximate inference algorithms lack…

Machine Learning · Computer Science 2016-05-09 Bo Dai , Niao He , Hanjun Dai , Le Song

Hyperspectral pansharpening is a process of merging a high-resolution panchromatic (PAN) image and a low-resolution hyperspectral (LRHS) image to create a single high-resolution hyperspectral (HRHS) image. Existing Bayesian-based HS…

Computer Vision and Pattern Recognition · Computer Science 2023-11-21 Xiangyu Rui , Xiangyong Cao , Li Pang , Zeyu Zhu , Zongsheng Yue , Deyu Meng

We present a novel method for exemplar-based image translation, called matching interleaved diffusion models (MIDMs). Most existing methods for this task were formulated as GAN-based matching-then-generation framework. However, in this…

Computer Vision and Pattern Recognition · Computer Science 2023-03-30 Junyoung Seo , Gyuseong Lee , Seokju Cho , Jiyoung Lee , Seungryong Kim

While supervised stereo matching and monocular depth estimation have advanced significantly with learning-based algorithms, self-supervised methods using stereo images as supervision signals have received relatively less focus and require…

Computer Vision and Pattern Recognition · Computer Science 2025-08-19 Zihua Liu , Yizhou Li , Songyan Zhang , Masatoshi Okutomi

Pansharpening generates the high-resolution multi-spectral (MS) image by integrating spatial details from a texture-rich panchromatic (PAN) image and spectral attributes from a low-resolution MS image. Existing methods are predominantly…

Computer Vision and Pattern Recognition · Computer Science 2026-03-05 Hebaixu Wang , Jing Zhang , Haonan Guo , Di Wang , Jiayi Ma , Bo Du , Liangpei Zhang
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