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Grouped data are commonly encountered in applications. The Bernstein polynomial model is proposed as an approximate model in this paper for estimating a univariate density function based on grouped data. The coefficients of the Bernstein…

Methodology · Statistics 2015-07-21 Zhong Guan

Co-clustering is a data mining technique used to extract the underlying block structure between the rows and columns of a data matrix. Many approaches have been studied and have shown their capacity to extract such structures in continuous,…

Machine Learning · Computer Science 2022-12-23 Aichetou Bouchareb , Marc Boullé , Fabrice Clérot , Fabrice Rossi

Biclustering involves the simultaneous clustering of objects and their attributes, thus defining local two-way clustering models. Recently, efficient algorithms were conceived to enumerate all biclusters in real-valued datasets. In this…

Machine Learning · Computer Science 2015-06-04 Saullo Haniell Galvão de Oliveira , Rosana Veroneze , Fernando José Von Zuben

A natural way to characterize the cluster structure of a dataset is by finding regions containing a high density of data. This can be done in a nonparametric way with a kernel density estimate, whose modes and hence clusters can be found…

Machine Learning · Computer Science 2015-03-03 Miguel Á. Carreira-Perpiñán

Clustering attempts to partition data instances into several distinctive groups, while the similarities among data belonging to the common partition can be principally reserved. Furthermore, incomplete data frequently occurs in many…

Machine Learning · Computer Science 2022-08-30 Miao Cheng , Xinge You

Model-based clustering is widely-used in a variety of application areas. However, fundamental concerns remain about robustness. In particular, results can be sensitive to the choice of kernel representing the within-cluster data density.…

Machine Learning · Statistics 2019-06-27 Leo L Duan , David B Dunson

This paper introduces a novel mixture model-based approach for simultaneous clustering and optimal segmentation of functional data which are curves presenting regime changes. The proposed model consists in a finite mixture of piecewise…

Methodology · Statistics 2014-05-02 Faicel Chamroukhi

Understanding the global organization of complicated and high dimensional data is of primary interest for many branches of applied sciences. It is typically achieved by applying dimensionality reduction techniques mapping the considered…

Computational Geometry · Computer Science 2024-11-11 Paweł Dłotko , Davide Gurnari , Mathis Hallier , Anna Jurek-Loughrey

Finite mixture modelling is a popular method in the field of clustering and is beneficial largely due to its soft cluster membership probabilities. A common method for fitting finite mixture models is to employ spectral clustering, which…

Machine Learning · Statistics 2024-03-22 Liam Welsh , Phillip Shreeves

We study the problem of downlink channel estimation in multi-user massive multiple input multiple output (MIMO) systems. To this end, we consider a Bayesian compressive sensing approach in which the clustered sparse structure of the channel…

Information Theory · Computer Science 2021-06-08 Mohammed Rashid , Mort Naraghi-Pour

The current data tends to be more complex than conventional data and need dimension reduction. Dimension reduction is important in cluster analysis and creates a smaller data in volume and has the same analytical results as the original…

Databases · Computer Science 2011-10-18 Rahmat Widia Sembiring , Jasni Mohamad Zain , Abdullah Embong

Modern high-dimensional methods often adopt the "bet on sparsity" principle, while in supervised multivariate learning statisticians may face "dense" problems with a large number of nonzero coefficients. This paper proposes a novel…

Machine Learning · Statistics 2022-02-10 Yiyuan She , Jiahui Shen , Chao Zhang

Urban structure detection is a basic task in urban geography. Clustering is a core technology to detect the patterns of urban spatial structure, urban functional region, and so on. In big data era, diverse urban sensing datasets recording…

Social and Information Networks · Computer Science 2017-07-13 Xin Lin , Haifeng Li , Yan Zhang , Lei Gao , Ling Zhao , Min Deng

The sensor whose output is a function of the sum of contributions from targets present in the surveillance area is called superpositional sensor. In this letter, target clustering based multi-Bernoulli filter for superpositional sensors is…

Signal Processing · Electrical Eng. & Systems 2023-08-21 Wang Sen

The goal of data clustering is to partition data points into groups to minimize a given objective function. While most existing clustering algorithms treat each data point as vector, in many applications each datum is not a vector but a…

Machine Learning · Statistics 2017-03-16 Dinh Phung , Ba-Ngu Bo

Multi-level modeling is an important approach for analyzing complex survey data using multi-stage sampling. However, estimation of multi-level models can be challenging when we combine several datasets with distinct hierarchies with…

Methodology · Statistics 2023-09-26 Seho Park , A James OMalley

We study two practically important cases of model based clustering using Gaussian Mixture Models: (1) when there is misspecification and (2) on high dimensional data, in the light of recent advances in Gradient Descent (GD) based…

Machine Learning · Statistics 2020-07-28 Siva Rajesh Kasa , Vaibhav Rajan

The two most extended density-based approaches to clustering are surely mixture model clustering and modal clustering. In the mixture model approach, the density is represented as a mixture and clusters are associated to the different…

Machine Learning · Statistics 2016-09-16 José E. Chacón

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

Clustering is essential in data analysis and machine learning, but traditional algorithms like $k$-means and Gaussian Mixture Models (GMM) often fail with nonconvex clusters. To address the challenge, we introduce the Flexible Bivariate…

Machine Learning · Computer Science 2025-02-28 Yung-Peng Hsu , Hung-Hsuan Chen