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Clustering methods seek to partition data such that elements are more similar to elements in the same cluster than to elements in different clusters. The main challenge in this task is the lack of a unified definition of a cluster,…

Statistics Theory · Mathematics 2022-07-06 Franz Besold , Vladimir Spokoiny

We propose two spectral algorithms for partitioning nodes in directed graphs respectively with a cyclic and an acyclic pattern of connection between groups of nodes. Our methods are based on the computation of extremal eigenvalues of the…

Data Structures and Algorithms · Computer Science 2018-05-09 H. Van Lierde , T. W. S. Chow , J. -C. Delvenne

We survey the application of a relatively new branch of statistical physics--"community detection"-- to data mining. In particular, we focus on the diagnosis of materials and automated image segmentation. Community detection describes the…

Materials Science · Physics 2017-11-22 Z. Nussinov , P. Ronhovde , Dandan Hu , S. Chakrabarty , M. Sahu , Bo Sun , N. A. Mauro , K. K. Sahu

Subspace clustering aims to find groups of similar objects (clusters) that exist in lower dimensional subspaces from a high dimensional dataset. It has a wide range of applications, such as analysing high dimensional sensor data or DNA…

Machine Learning · Computer Science 2018-11-08 Minh Tuan Doan , Jianzhong Qi , Sutharshan Rajasegarar , Christopher Leckie

Bayesian model-based clustering is a widely applied procedure for discovering groups of related observations in a dataset. These approaches use Bayesian mixture models, estimated with MCMC, which provide posterior samples of the model…

Methodology · Statistics 2018-09-24 Ketong Wang , Michael D. Porter

We describe an Artificial Neural Network (ANN) approach to classification of galaxy images and spectra. ANNs can replicate the classification of galaxy images by a human expert to the same degree of agreement as that between two human…

Astrophysics · Physics 2007-05-23 Ofer Lahav

We have developed a method that maps large astronomical images onto a two-dimensional map and clusters them. A combination of various state-of-the-art machine learning (ML) algorithms is used to develop a fully unsupervised image quality…

Instrumentation and Methods for Astrophysics · Physics 2021-04-28 Hossen Teimoorinia , Sara Shishehchi , Ahnaf Tazwar , Ping Lin , Finn Archinuk , Stephen D. J. Gwyn , J. J. Kavelaars

Locating the center of convex objects is important in both image processing and unsupervised machine learning/data clustering fields. The automated analysis of biological images uses both of these fields for locating cell nuclei and for…

Computer Vision and Pattern Recognition · Computer Science 2018-04-12 James Kapaldo , Xu Han , Domingo Mery

In data mining, density-based clustering, which entails classifying datapoints according to their distributions in some space, is an essential method to extract information from large datasets. With the advent of software-based radio,…

We propose a simple and efficient clustering method for high-dimensional data with a large number of clusters. Our algorithm achieves high-performance by evaluating distances of datapoints with a subset of the cluster centres. Our…

Machine Learning · Computer Science 2022-03-30 Georgios Exarchakis , Omar Oubari , Gregor Lenz

The alignment of clusters of galaxies with their nearest neighbours and between clusters within a supercluster is investigated using simulations of 512^{3} dark matter particles for \LambdaCDM and \tauCDM cosmological models. Strongly…

Astrophysics · Physics 2009-10-31 L. I. Onuora , P. A. Thomas

We have developed a method for detecting clusters in large imaging surveys, based on the detection of structures in galaxy density maps made in slices of photometric redshifts. This method was first applied to the Canada France Hawaii…

Visual grouping is a key mechanism in human scene perception. There, it belongs to the subconscious, early processing and is key prerequisite for other high level tasks such as recognition. In this paper, we introduce an efficient, realtime…

Computer Vision and Pattern Recognition · Computer Science 2016-09-23 Dominik Alexander Klein , Dirk Schulz , Armin Bernd Cremers

Many clustering problems in computer vision and other contexts are also classification problems, where each cluster shares a meaningful label. Subspace clustering algorithms in particular are often applied to problems that fit this…

Machine Learning · Computer Science 2017-09-15 John Lipor , Laura Balzano

Clustering is a widely used unsupervised learning method for finding structure in the data. However, the resulting clusters are typically presented without any guarantees on their robustness; slightly changing the used data sample or…

Machine Learning · Statistics 2017-01-02 Andreas Henelius , Kai Puolamäki , Henrik Boström , Panagiotis Papapetrou

Nowadays, face recognition and more generally image recognition have many applications in the modern world and are widely used in our daily tasks. This paper aims to propose a distributed approximate nearest neighbor (ANN) method for…

Computer Vision and Pattern Recognition · Computer Science 2020-08-31 Aysan Aghazadeh , Maryam Amirmazlaghani

Probabilistic cross-identification has been successfully applied to a number of problems in astronomy from matching simple point sources to associating stars with unknown proper motions and even radio observations with realistic morphology.…

Astrophysics of Galaxies · Physics 2017-06-30 Neil Mallinar , Tamas Budavari , Gerard Lemson

In this paper we solve on GPUs massive problems with large amount of data, which are not appropriate for solution with the SIMD technology. For the given problem we consider a three-level parallelization. The multithreading of CPU is used…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-02-18 Natalya Litvinenko

Subspace clustering is the problem of clustering data that lie close to a union of linear subspaces. In the abstract form of the problem, where no noise or other corruptions are present, the data are assumed to lie in general position…

Computer Vision and Pattern Recognition · Computer Science 2020-02-13 Manolis C. Tsakiris , Rene Vidal

An agglomerative clustering of random variables is proposed, where clusters of random variables sharing the maximum amount of multivariate mutual information are merged successively to form larger clusters. Compared to the previous…

Information Theory · Computer Science 2017-02-27 Chung Chan , Ali Al-Bashabsheh , Qiaoqiao Zhou
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