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We present a general probabilistic formalism for cross-identifying astronomical point sources in multiple observations. Our Bayesian approach, symmetric in all observations, is the foundation of a unified framework for object matching,…

Astrophysics · Physics 2009-11-13 Tamas Budavari , Alexander S. Szalay

A widely used method to create a continuous representation of a discrete data-set is regression analysis. When the regression model is not based on a mathematical description of the physics underlying the data, heuristic techniques play a…

Statistics Theory · Mathematics 2013-07-18 Giovanni Mana , Paolo Alberto Giuliano Albo , Simona Lago

We study a nonparametric Bayesian approach to linear inverse problems under discrete observations. We use the discrete Fourier transform to convert our model into a truncated Gaussian sequence model, that is closely related to the classical…

Statistics Theory · Mathematics 2018-10-31 Shota Gugushvili , Aad van der Vaart , Dong Yan

Existing detection methods commonly use a parameterized bounding box (BBox) to model and detect (horizontal) objects and an additional rotation angle parameter is used for rotated objects. We argue that such a mechanism has fundamental…

Computer Vision and Pattern Recognition · Computer Science 2022-09-23 Xue Yang , Gefan Zhang , Xiaojiang Yang , Yue Zhou , Wentao Wang , Jin Tang , Tao He , Junchi Yan

Space objects in Geostationary Earth Orbit (GEO) present significant detection challenges in optical imaging due to weak signals, complex stellar backgrounds, and environmental interference. In this paper, we enhance high-frequency features…

Computer Vision and Pattern Recognition · Computer Science 2026-01-01 Xiaoqing Lan , Biqiao Xin , Bingshu Wang , Han Zhang , Rui Zhu , Laixian Zhang

We consider the problem of estimating a variable number of parameters with a dynamic nature. A familiar example is finding the position of moving targets using sensor array observations. The problem is challenging in cases where either the…

Computation · Statistics 2015-04-03 Ashkan Panahi , Mats Viberg

"Background subtraction" is an old technique for finding moving objects in a video sequence for example, cars driving on a freeway. The idea is that subtracting the current image from a timeaveraged background image will leave only…

Computer Vision and Pattern Recognition · Computer Science 2013-02-08 Nir Friedman , Stuart Russell

Unsupervised object discovery aims to localize objects in images, while removing the dependence on annotations required by most deep learning-based methods. To address this problem, we propose a fully unsupervised, bottom-up approach, for…

Computer Vision and Pattern Recognition · Computer Science 2022-12-21 Sandra Kara , Hejer Ammar , Florian Chabot , Quoc-Cuong Pham

We present in this paper a Bayesian parameter estimation method for the analysis of interferometric gravitational wave observations of an inspiral of binary compact objects using data recorded simultaneously by a network of several…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Christian Röver , Renate Meyer , Gianluca M. Guidi , Andrea Viceré , Nelson Christensen

We provide a mathematical formulation and develop a computational framework for identifying multiple strains of microorganisms from mixed samples of DNA. Our method is applicable in public health domains where efficient identification of…

When looking for gravitational wave signals from known pulsars, targets have been treated using independent searches. Here we use a hierarchical Bayesian framework to combine observations from individual sources for two purposes: to produce…

Instrumentation and Methods for Astrophysics · Physics 2018-09-12 M. Pitkin , C. Messenger , X. Fan

We address the problem of localisation of objects as bounding boxes in images with weak labels. This weakly supervised object localisation problem has been tackled in the past using discriminative models where each object class is localised…

Computer Vision and Pattern Recognition · Computer Science 2017-05-10 Zhiyuan Shi , Timothy M. Hospedales , Tao Xiang

This paper addresses the problem of identifying a lower dimensional space where observed data can be sparsely represented. This under-complete dictionary learning task can be formulated as a blind separation problem of sparse sources…

Methodology · Statistics 2010-08-30 Nicolas Dobigeon , Jean-Yves Tourneret

We introduce a Bayesian defect detector to facilitate the defect detection on the motion blurred images on rough texture surfaces. To enhance the accuracy of Bayesian detection on removing non-defect pixels, we develop a class of reflected…

Computer Vision and Pattern Recognition · Computer Science 2018-09-05 Fei Jiang , Guosheng Yin

We propose a general method to carry out a valid Bayesian analysis of a finite-dimensional `targeted' parameter in the presence of a finite-dimensional nuisance parameter. We apply our methods to causal inference based on estimating…

Methodology · Statistics 2026-02-03 Magid Sabbagh , David A. Stephens

This paper reviews object detection methods for finding small objects from remote sensing imagery and provides an empirical evaluation of four state-of-the-art methods to gain insights into method performance and technical challenges. In…

Computer Vision and Pattern Recognition · Computer Science 2026-01-01 Xiaohui Yuan , Aniv Chakravarty , Lichuan Gu , Zhenchun Wei , Elinor Lichtenberg , Tian Chen

This work describes a full Bayesian analysis of the Nearby Universe as traced by galaxies of the 2M++ survey. The analysis is run in two sequential steps. The first step self-consistently derives the luminosity dependent galaxy biases, the…

Cosmology and Nongalactic Astrophysics · Physics 2015-12-09 Guilhem Lavaux , Jens Jasche

This paper addresses the problem of summarizing the posterior distributions that typically arise, in a Bayesian framework, when dealing with signal decomposition problems with unknown number of components. Such posterior distributions are…

Computation · Statistics 2011-11-29 Alireza Roodaki , Julien Bect , Gilles Fleury

We develop a framework for task-specific active next-best-view selection in 3D reconstruction from point clouds, by casting the problem in the language of Bayesian decision theory. Our framework works by (a) placing a prior distribution…

Graphics · Computer Science 2026-05-07 Jingsen Zhu , Silvia Sellán , Alexander Terenin

We propose and evaluate an iterative localization mechanism employing Bayesian inference to estimate the position of a target using received signal strength measurements. The probability density functions of the target's coordinates are…

Applications · Statistics 2020-03-05 Henrique Hilleshein , Carlos H. M. de Lima , Hirley Alves , Matti Latva-aho
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