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In this paper, we develop a Bayesian multiscale approach based on a multiscale finite element method. Because of scale disparity in many multiscale applications, computational models can not resolve all scales. Various subgrid models are…

数值分析 · 数学 2017-02-13 Y. Efendiev , W. T. Leung , S. W. Cheung , N. Guha , V. H. Hoang , B. Mallick

Diffusion probabilistic models learn to remove noise added during training, generating novel data (e.g., images) from Gaussian noise through sequential denoising. However, conditioning the generative process on corrupted or masked images is…

计算机视觉与模式识别 · 计算机科学 2026-05-01 Sakshi Agarwal , Gabriel Hope , Jimin Heo , Erik B. Sudderth

Accurate tuning of hyperparameters is crucial to ensure that models can generalise effectively across different settings. In this paper, we present theoretical guarantees for hyperparameter selection using variational Bayes in the…

统计理论 · 数学 2025-04-07 Dennis Nieman , Botond Szabó

In this work, we delve into the nonparametric empirical Bayes theory and approximate the classical Bayes estimator by a truncation of the generalized Laguerre series and then estimate its coefficients by minimizing the prior risk of the…

统计理论 · 数学 2021-12-17 Rida Benhaddou , Matthew Connell

Spectral imaging enables spatially-resolved identification of materials in remote sensing, biomedicine, and astronomy. However, acquisition times require balancing spectral and spatial resolution with signal-to-noise. Hyperspectral imaging…

计算机视觉与模式识别 · 计算机科学 2020-03-17 Nguyen Tran , Rupali Mankar , David Mayerich , Zhu Han

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…

计算机视觉与模式识别 · 计算机科学 2023-11-21 Xiangyu Rui , Xiangyong Cao , Li Pang , Zeyu Zhu , Zongsheng Yue , Deyu Meng

We propose a method for the unsupervised clustering of hyperspectral images based on spatially regularized spectral clustering with ultrametric path distances. The proposed method efficiently combines data density and geometry to…

计算机视觉与模式识别 · 计算机科学 2020-04-13 Shukun Zhang , James M. Murphy

Fusing a hyperspectral image with a multispectral image acquired over the same scene, \textit{i.e.}, hyperspectral image super-resolution, has become a popular computational way to access the latent high-spatial-spectral-resolution image.…

计算机视觉与模式识别 · 计算机科学 2025-10-08 Yinjian Wang , Wei Li , Yuanyuan Gui , Gemine Vivone

In this paper, a Bayesian fusion technique for remotely sensed multi-band images is presented. The observed images are related to the high spectral and high spatial resolution image to be recovered through physical degradations, e.g.,…

计算机视觉与模式识别 · 计算机科学 2014-08-27 Qi Wei , Nicolas Dobigeon , Jean-Yves Tourneret

In this paper, we study weakly-supervised laparoscopic image segmentation with sparse annotations. We introduce a novel Bayesian deep learning approach designed to enhance both the accuracy and interpretability of the model's segmentation,…

计算机视觉与模式识别 · 计算机科学 2024-10-14 Zhou Zheng , Yuichiro Hayashi , Masahiro Oda , Takayuki Kitasaka , Kensaku Mori

This paper presents two novel hyperspectral mixture models and associated unmixing algorithms. The two models assume a linear mixing model corrupted by an additive term whose expression can be adapted to account for multiple scattering…

In this article, we study the binary classification problem with supervised data, in the case where the covariate-to-probability-of-success map is possibly spatially inhomogeneous. We devise nonparametric Bayesian procedures with…

统计理论 · 数学 2025-09-10 Matteo Giordano

Hyperspectral images are data cubes with two spatial dimensions and a third spectral dimension, providing a spectrum for each pixel, and thus allow the mapping of extended sources' physical properties. In this article, we present the…

天体物理仪器与方法 · 物理学 2024-06-19 Julia Lascar , Jérôme Bobin , Fabio Acero

Coupled tensor approximation has recently emerged as a promising approach for the fusion of hyperspectral and multispectral images, reconciling state of the art performance with strong theoretical guarantees. However, tensor-based…

Image classification is a challenging problem for computer in reality. Large numbers of methods can achieve satisfying performances with sufficient labeled images. However, labeled images are still highly limited for certain image…

计算机视觉与模式识别 · 计算机科学 2020-11-12 Hongfeng Li

A new methodology for model determination in decomposable graphical Gaussian models is developed. The Bayesian paradigm is used and, for each given graph, a hyper inverse Wishart prior distribution on the covariance matrix is considered.…

统计计算 · 统计学 2015-03-13 Sophie Donnet , Jean-Michel Marin

Modeling latent variables with priors and hyperpriors is an essential problem in variational image compression. Formally, trade-off between rate and distortion is handled well if priors and hyperpriors precisely describe latent variables.…

计算机视觉与模式识别 · 计算机科学 2022-03-23 Xiaosu Zhu , Jingkuan Song , Lianli Gao , Feng Zheng , Heng Tao Shen

This paper shows how the variational Bayes method provides a computational efficient technique in the context of hierarchical modelling using Dirichlet process priors, in particular without requiring conjugate prior assumption. It shows,…

统计计算 · 统计学 2013-09-23 Hui Zhao , Paul Marriott

Supervised learning with a convolutional neural network is recognized as a powerful means of image restoration. However, most such methods have been designed for application to grayscale and/or color images; therefore, they have limited…

图像与视频处理 · 电气工程与系统科学 2019-07-02 Ryuji Imamura , Tatsuki Itasaka , Masahiro Okuda

We consider the problem of sampling from a product-of-experts-type model that encompasses many standard prior and posterior distributions commonly found in Bayesian imaging. We show that this model can be easily lifted into a novel latent…

图像与视频处理 · 电气工程与系统科学 2026-04-16 Muhamed Kuric , Martin Zach , Andreas Habring , Michael Unser , Thomas Pock