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Functional data analysis involves data described by regular functions rather than by a finite number of real valued variables. While some robust data analysis methods can be applied directly to the very high dimensional vectors obtained…

Machine Learning · Statistics 2012-01-06 Fabrice Rossi , Yves Lechevallier

The software for clustering students according to their educational achievements using fuzzy logic was developed in Python using the Google Colab cloud service. In the process of analyzing educational data, the problems of Data Mining are…

Computers and Society · Computer Science 2023-12-19 Serhiy Balovsyak , Oleksandr Derevyanchuk , Hanna Kravchenko , Yuriy Ushenko , Zhengbing Hu

This paper presents SeqClusFD, a top-down sequential clustering method for functional data. The clustering algorithm extracts the splitting information either from trajectories, first or second derivatives. Initial partition is based on gap…

Methodology · Statistics 2023-12-29 Ana Justel , Marcela Svarc

Spectral clustering uses the global information embedded in eigenvectors of an inter-item similarity matrix to correctly identify clusters of irregular shape, an ability lacking in commonly used approaches such as k-means and agglomerative…

Data Analysis, Statistics and Probability · Physics 2010-01-18 Brian White , David Shalloway

We present a data segmentation method based on a first-order density-induced consensus protocol. We provide a mathematically rigorous analysis of the consensus model leading to the stopping criteria of the data segmentation algorithm. To…

Computer Vision and Pattern Recognition · Computer Science 2022-04-25 Piotr Minakowski , Jan Peszek

Under the framework of spectral clustering, the key of subspace clustering is building a similarity graph which describes the neighborhood relations among data points. Some recent works build the graph using sparse, low-rank, and…

Machine Learning · Computer Science 2017-05-17 Xi Peng , Huajin Tang , Lei Zhang , Zhang Yi , Shijie Xiao

Off-policy evaluation can leverage logged data to estimate the effectiveness of new policies in e-commerce, search engines, media streaming services, or automatic diagnostic tools in healthcare. However, the performance of baseline…

Machine Learning · Computer Science 2025-03-03 Daniel Guzman-Olivares , Philipp Schmidt , Jacek Golebiowski , Artur Bekasov

Many fields, such as neuroscience, are experiencing the vast proliferation of cellular data, underscoring the need for organizing and interpreting large datasets. A popular approach partitions data into manageable subsets via hierarchical…

Quantitative Methods · Quantitative Biology 2024-03-07 Diek W. Wheeler , Giorgio A. Ascoli

Although numerous algorithms have been proposed to solve the categorical data clustering problem, how to access the statistical significance of a set of categorical clusters remains unaddressed. To fulfill this void, we employ the…

Machine Learning · Computer Science 2022-11-09 Lianyu Hu , Mudi Jiang , Yan Liu , Zengyou He

Clustering, or grouping, dataset elements based on similarity can be used not only to classify a dataset into a few categories, but also to approximate it by a relatively large number of representative elements. In the latter scenario,…

Machine Learning · Computer Science 2019-09-13 Tim Jaschek , Marko Bucyk , Jaspreet S. Oberoi

One of the most vital activities to reduce energy consumption in wireless sensor networks is clustering. In clustering, one node from a group of nodes is selected to be a cluster head, which handles majority of the computation and…

Networking and Internet Architecture · Computer Science 2016-01-18 Payal Pahwa , Deepali Virmani , Akshay Kumar , Sahil , Vikas Rathi , Sunil Swami

Consensus clustering aggregates partitions in order to find a better fit by reconciling clustering results from different sources/executions. In practice, there exist noise and outliers in clustering task, which, however, may significantly…

Machine Learning · Computer Science 2023-01-03 Deguang Kong , Miao Lu , Konstantin Shmakov , Jian Yang

This paper addresses the ambitious goal of merging two different approaches to group detection in complex domains: one based on fuzzy clustering and the other on community detection theory. To achieve this, two clustering algorithms are…

Gathering training data is a key step of any supervised learning task, and it is both critical and expensive. Critical, because the quantity and quality of the training data has a high impact on the performance of the learned function.…

Data Structures and Algorithms · Computer Science 2021-10-28 Quentin Lutz , Élie de Panafieu , Alex Scott , Maya Stein

Clustering and outlier detection are two important tasks in data mining. Outliers frequently interfere with clustering algorithms to determine the similarity between objects, resulting in unreliable clustering results. Currently, only a few…

Machine Learning · Computer Science 2024-12-10 Qi Li , Shuliang Wang

We consider the problem of fuzzy community detection in networks, which complements and expands the concept of overlapping community structure. Our approach allows each vertex of the graph to belong to multiple communities at the same time,…

Physics and Society · Physics 2011-11-10 Tamás Nepusz , Andrea Petróczi , László Négyessy , Fülöp Bazsó

Clustering methods with dimension reduction have been receiving considerable wide interest in statistics lately and a lot of methods to simultaneously perform clustering and dimension reduction have been proposed. This work presents a novel…

Methodology · Statistics 2014-06-17 Michio Yamamoto , Kenichi Hayashi

World Wide Web is a huge repository of information and there is a tremendous increase in the volume of information daily. The number of users are also increasing day by day. To reduce users browsing time lot of research is taken place. Web…

Information Retrieval · Computer Science 2014-05-22 V. Chitraa , Antony Selvadoss Thanamani

The clustering methods have been used in a variety of fields such as image processing, data mining, pattern recognition, and statistical analysis. Generally, the clustering algorithms consider all variables equally relevant or not…

Machine Learning · Computer Science 2021-02-19 Sara Ines Rizo Rodriguez , Francisco de Assis Tenorio de Carvalho

A data filtering method for cluster analysis is proposed, based on minimizing a least squares function with a weighted $\ell_0$-norm penalty. To overcome the discontinuity of the objective function, smooth non-convex functions are employed…

Optimization and Control · Mathematics 2017-05-23 Andrea Cristofari