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We present a novel approach, in which we learn to cluster data directly from side information, in the form of a small set of pairwise examples. Unlike previous methods, with or without side information, we do not need to know the number of…

Machine Learning · Computer Science 2023-05-31 Michael A. Hobley , Victor A. Prisacariu

This paper deals with nonparametric estimation of conditional den-sities in mixture models in the case when additional covariates are available. The proposed approach consists of performing a prelim-inary clustering algorithm on the…

Statistics Theory · Mathematics 2015-02-09 Stéphane Auray , Nicolas Klutchnikoff , Laurent Rouvière

As a kind of basic machine learning method, clustering algorithms group data points into different categories based on their similarity or distribution. We present a clustering algorithm by finding hyper-planes to distinguish the data…

Computer Vision and Pattern Recognition · Computer Science 2020-04-28 Luhong Diao , Jinying Gao1 , Manman Deng

We propose Bayesian model averaging (BMA) as a method for postprocessing the results of model-based clustering. Given a number of competing models, appropriate model summaries are averaged, using the posterior model probabilities, instead…

Computation · Statistics 2015-07-01 Niamh Russell , Thomas Brendan Murphy , Adrian E Raftery

Clustering is one of the fundamental tasks in data analytics and machine learning. In many situations, different clusterings of the same data set become relevant. For example, different algorithms for the same clustering task may return…

Optimization and Control · Mathematics 2020-04-06 Steffen Borgwardt , Charles Viss

Clustering is a widely used technique in data mining applications for discovering patterns in underlying data. Most traditional clustering algorithms are limited to handling datasets that contain either numeric or categorical attributes.…

Artificial Intelligence · Computer Science 2007-05-23 Zengyou He , Xiaofei Xu , Shengchun Deng

Directional data consist of observations distributed on a (hyper)sphere, and appear in many applied fields, such as astronomy, ecology, and environmental science. This paper studies both statistical and computational problems of kernel…

Machine Learning · Statistics 2021-10-18 Yikun Zhang , Yen-Chi Chen

One basic requirement of many studies is the necessity of classifying data. Clustering is a proposed method for summarizing networks. Clustering methods can be divided into two categories named model-based approaches and algorithmic…

Machine Learning · Computer Science 2013-02-19 Raheleh Namayandeh , Farzad Didehvar , Zahra Shojaei

A new plug-in rule procedure for bandwidth selection in kernel circular density estimation is introduced. The performance of this proposal is checked throughout a simulation study considering a variety of circular distributions exhibiting…

Methodology · Statistics 2012-02-29 M. Oliveira , R. M. Crujeiras , A. Rodríguez-Casal

With the recent growth in data availability and complexity, and the associated outburst of elaborate modelling approaches, model selection tools have become a lifeline, providing objective criteria to deal with this increasingly challenging…

Methodology · Statistics 2020-10-08 Alessandro Casa , Luca Scrucca , Giovanna Menardi

A method for the detection of changes in the expectation in univariate sequences is provided. Moving sum processes are studied. These rely on the selection of a tuning bandwidth. Here, a framework to overcome bandwidth selection is…

Methodology · Statistics 2023-01-04 Tijana Levajkovic , Michael Messer

Clustering is one of the main tasks in exploratory data analysis and descriptive statistics where the main objective is partitioning observations in groups. Clustering has a broad range of application in varied domains like climate,…

Databases · Computer Science 2012-03-20 Saptarsi Goswami , Amlan Chakrabarti

Clustering algorithms are one of the main analytical methods to detect patterns in unlabeled data. Existing clustering methods typically treat samples in a dataset as points in a metric space and compute distances to group together similar…

Machine Learning · Computer Science 2021-10-12 Tarek Naous , Srinjay Sarkar , Abubakar Abid , James Zou

Clustering stands as one of the most prominent challenges in unsupervised machine learning. Among centroid-based methods, the classic $k$-means algorithm, based on Lloyd's heuristic, is widely used. Nonetheless, it is a well-known fact that…

Machine Learning · Statistics 2025-01-30 Supratik Basu , Jyotishka Ray Choudhury , Debolina Paul , Swagatam Das

We investigate a novel non-parametric regression-based clustering algorithm for longitudinal data analysis. Combining natural cubic splines with Gaussian mixture models (GMM), the algorithm can produce smooth cluster means that describe the…

Methodology · Statistics 2022-09-20 Peter Mlakar , Tapio Nummi , Polona Oblak , Jana Faganeli Pucer

Clustering is a crucial tool for analyzing data in virtually every scientific and engineering discipline. There are more scalable solutions framed to enable time and space clustering for the future large-scale data analyses. As a result,…

Databases · Computer Science 2023-08-23 D. D. D. Suribabu , T. Hitendra Sarma , B. Eswar Reddy

We present some new density estimation algorithms obtained by bootstrap aggregation like Bagging. Our algorithms are analyzed and empirically compared to other methods found in the statistical literature, like stacking and boosting for…

Methodology · Statistics 2012-07-23 Mathias Bourel , Badih Ghattas

We present an efficient method to estimate cross-validation bandwidth parameters for kernel density estimation in very large datasets where ordinary cross-validation is rendered highly inefficient, both statistically and computationally.…

Methodology · Statistics 2016-09-02 Anirban Bhattacharya , Jeffrey D. Hart

Clustering is a fundamental task in data mining and machine learning, particularly for analyzing large-scale data. In this paper, we introduce Clust-Splitter, an efficient algorithm based on nonsmooth optimization, designed to solve the…

Machine Learning · Computer Science 2026-03-19 Jenni Lampainen , Kaisa Joki , Napsu Karmitsa , Marko M. Mäkelä

The number of accidents and health diseases which are increasing at an alarming rate are resulting in a huge increase in the demand for blood. There is a necessity for the organized analysis of the blood donor database or blood banks…

Databases · Computer Science 2013-09-11 Bondu Venkateswarlu , Prof G. S. V. Prasad Raju
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