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The heuristic identification of peaks from noisy complex spectra often leads to misunderstanding of the physical and chemical properties of matter. In this paper, we propose a framework based on Bayesian inference, which enables us to…

数据分析、统计与概率 · 物理学 2016-12-28 Satoru Tokuda , Kenji Nagata , Masato Okada

Blind image denoising is an important yet very challenging problem in computer vision due to the complicated acquisition process of real images. In this work we propose a new variational inference method, which integrates both noise…

计算机视觉与模式识别 · 计算机科学 2023-09-04 Zongsheng Yue , Hongwei Yong , Qian Zhao , Lei Zhang , Deyu Meng

Uncertainty quantification is a crucial step of cosmological mass-mapping that is often ignored. Suggested methods are typically only approximate or make strong assumptions of Gaussianity of the shear field. Probabilistic sampling methods,…

宇宙学与河外天体物理 · 物理学 2023-06-22 Augustin Marignier , Thomas Kitching , Jason D. McEwen , Ana M. G. Ferreira

We present a new blind formulation of the Cosmic Microwave Background (CMB) inference problem. The approach relies on a phenomenological model of the multi-frequency microwave sky without the need for physical models of the individual…

宇宙学与河外天体物理 · 物理学 2016-03-30 Flavien Vansyngel , Benjamin D. Wandelt , Jean-François Cardoso , Karim Benabed

Many inference problems involve inferring the number $N$ of components in some region, along with their properties $\{\mathbf{x}_i\}_{i=1}^N$, from a dataset $\mathcal{D}$. A common statistical example is finite mixture modelling. In the…

统计计算 · 统计学 2015-01-15 Brendon J. Brewer

Image splicing detection is of fundamental importance in digital forensics and therefore has attracted increasing attention recently. In this paper, a color image splicing detection approach is proposed based on Markov transition…

计算机视觉与模式识别 · 计算机科学 2017-12-22 Ruxin Wang , Wei Lu , Shijun Xiang , Xianfeng Zhao , Jinwei Wang

Multi-wavelength astronomical studies brings a wealth of science within reach. One way to achieve a cross-wavelength analysis is via `stacking', i.e. combining precise positional information from an image at one wavelength with data from…

宇宙学与河外天体物理 · 物理学 2017-09-14 Song Chen , Jonathan T. L. Zwart , Mario G. Santos

Recently a blind source separation model was suggested for spatial data together with an estimator based on the simultaneous diagonalisation of two scatter matrices. The asymptotic properties of this estimator are derived here and a new…

统计理论 · 数学 2020-09-01 François Bachoc , Marc G. Genton , Klaus Nordhausen , Anne Ruiz-Gazen , Joni Virta

We introduce a new method of Bayesian wavelet shrinkage for reconstructing a signal when we observe a noisy version. Rather than making the common assumption that the wavelet coefficients of the signal are independent, we allow for the…

统计方法学 · 统计学 2009-03-17 Graeme K. Ambler , Bernard W. Silverman

Recently single image super resolution is very important research area to generate high resolution image from given low resolution image. Algorithms of single image resolution are mainly based on wavelet domain and spatial domain. Filters…

计算机视觉与模式识别 · 计算机科学 2013-09-10 Sapan Naik , Nikunj Patel

Due to the wide distribution and usage of digital media, an important issue is protection of the digital content. There is a number of algorithms and techniques developed for the digital watermarking.In this paper, the invisible image…

多媒体 · 计算机科学 2015-02-09 Jelena Music , Ivan Knezevic , Edis Franca

We present a new source separation method which maximizes the likelihood of a model of noisy mixtures of stationary, possibly Gaussian, independent components. The method has been devised to address the problem of imaging CMB anisotropies.…

天体物理学 · 物理学 2007-05-23 Jean-Francois Cardoso , Hichem Snoussi , Jacques Delabrouille , Guillaume Patanchon

We present a method for automated segmentation of the vasculature in retinal images. The method produces segmentations by classifying each image pixel as vessel or non-vessel, based on the pixel's feature vector. Feature vectors are…

计算机视觉与模式识别 · 计算机科学 2007-05-23 João V. B. Soares , Jorge J. G. Leandro , Roberto M. Cesar , Herbert F. Jelinek , Michael J. Cree

A prototypical blind signal separation problem is the so-called cocktail party problem, with n people talking simultaneously and n different microphones within a room. The goal is to recover each speech signal from the microphone inputs.…

机器学习 · 计算机科学 2013-06-11 Mikhail Belkin , Luis Rademacher , James Voss

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

Wavelets are scaleable, oscillatory functions that deviate from zero only within a limited spatial regime and have average value zero. In addition to their use as source characterizers, wavelet functions are rapidly gaining currency within…

天体物理学 · 物理学 2009-11-07 Peter E. Freeman , Vinay Kashyap , Robert Rosner , Donald Q. Lamb

Sparse representations have proven their efficiency in solving a wide class of inverse problems encountered in signal and image processing. Conversely, enforcing the information to be spread uniformly over representation coefficients…

机器学习 · 统计学 2017-12-29 Clément Elvira , Pierre Chainais , Nicolas Dobigeon

This paper presents a new Bayesian model and algorithm for nonlinear unmixing of hyperspectral images. The model proposed represents the pixel reflectances as linear combinations of the endmembers, corrupted by nonlinear (with respect to…

统计方法学 · 统计学 2015-10-06 Yoann Altmann , Marcelo Pereyra , Stephen McLaughlin

We suggest an adaptive sampling rule for obtaining information from noisy signals using wavelet methods. The technique involves increasing the sampling rate when relatively high-frequency terms are incorporated into the wavelet estimator,…

统计理论 · 数学 2007-06-13 Peter Hall , Spiridon Penev

The bottom-up saliency, an early stage of humans' visual attention, can be considered as a binary classification problem between centre and surround classes. Discriminant power of features for the classification is measured as mutual…

计算机视觉与模式识别 · 计算机科学 2013-06-07 Anh Cat Le Ngo , Kenneth Li-Minn Ang , Guoping Qiu , Jasmine Kah-Phooi Seng