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Typically clustering algorithms provide clustering solutions with prespecified number of clusters. The lack of a priori knowledge on the true number of underlying clusters in the dataset makes it important to have a metric to compare the…

机器学习 · 计算机科学 2018-11-20 Amber Srivastava , Mayank Baranwal , Srinivasa Salapaka

Standard approaches to tackle high-dimensional supervised classification problem often include variable selection and dimension reduction procedures. The novel methodology proposed in this paper combines clustering of variables and feature…

统计理论 · 数学 2018-11-07 Marie Chavent , Robin Genuer , Jerome Saracco

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…

统计方法学 · 统计学 2020-10-08 Alessandro Casa , Luca Scrucca , Giovanna Menardi

An appropriate distance metric is crucial for categorical data clustering, as the distance between categorical data cannot be directly calculated. However, the distances between attribute values usually vary in different clusters induced by…

机器学习 · 计算机科学 2026-03-09 Taixi Chen , Yiu-ming Cheung , Yiqun Zhang

Clustering aims to group unlabeled objects based on similarity inherent among them into clusters. It is important for many tasks such as anomaly detection, database sharding, record linkage, and others. Some clustering methods are taken as…

数据库 · 计算机科学 2024-12-02 Binbin Gu , Saeed Kargar , Faisal Nawab

Micro-panel data are collected and analysed in many research and industry areas. Cluster analysis of micro-panel data is an unsupervised learning exploratory method identifying subgroup clusters in a data set which include homogeneous…

机器学习 · 统计学 2018-07-17 Lukas Sobisek , Maria Stachova , Jan Fojtik

Recently, there has been increasing interest to leverage the competence of neural networks to analyze data. In particular, new clustering methods that employ deep embeddings have been presented. In this paper, we depart from centroid-based…

计算机视觉与模式识别 · 计算机科学 2018-10-22 Sharon Fogel , Hadar Averbuch-Elor , Jacov Goldberger , Daniel Cohen-Or

We introduce a novel statistical significance-based approach for clustering hierarchical data using semi-parametric linear mixed-effects models designed for responses with laws in the exponential family (e.g., Poisson and Bernoulli). Within…

统计方法学 · 统计学 2025-02-04 Alessandra Ragni , Chiara Masci , Francesca Ieva , Anna Maria Paganoni

The increasing needs of clustering massive datasets and the high cost of running clustering algorithms poses difficult problems for users. In this context it is important to determine if a data set is clusterable, that is, it may be…

机器学习 · 计算机科学 2020-01-08 Dan Simovici , Kaixun Hua

Clustering is a fundamental learning task widely used as a first step in data analysis. For example, biologists use cluster assignments to analyze genome sequences, medical records, or images. Since downstream analysis is typically…

机器学习 · 计算机科学 2024-06-11 Jonathan Svirsky , Ofir Lindenbaum

Clinical time series data are critical for patient monitoring and predictive modeling. These time series are typically multivariate and often comprise hundreds of heterogeneous features from different data sources. The grouping of features…

机器学习 · 计算机科学 2025-11-12 Fedor Sergeev , Manuel Burger , Polina Leshetkina , Vincent Fortuin , Gunnar Rätsch , Rita Kuznetsova

This paper introduces a new clustering technique, called {\em dimensional clustering}, which clusters each data point by its latent {\em pointwise dimension}, which is a measure of the dimensionality of the data set local to that point.…

机器学习 · 统计学 2018-05-29 Shohei Hidaka , Neeraj Kashyap

Policy-makers are often faced with the task of distributing a limited supply of resources. To support decision-making in these settings, statisticians are confronted with two challenges: estimands are defined by allocation strategies that…

统计方法学 · 统计学 2024-04-01 Aaron L. Sarvet , Julien D. Laurendeau , Mats J. Stensrud

We introduce a new factor model for log volatilities that performs dimensionality reduction and considers contributions globally through the market, and locally through cluster structure and their interactions. We do not assume a-priori the…

统计金融 · 定量金融 2019-08-06 Anshul Verma , Riccardo Junior Buonocore , Tiziana di Matteo

Whether class labels in a given data set correspond to meaningful clusters is crucial for the evaluation of clustering algorithms using real-world data sets. This property can be quantified by separability measures. The central aspects of…

机器学习 · 统计学 2025-04-11 Jana Gauss , Fabian Scheipl , Moritz Herrmann

Clusters form the basis of a number of research study designs including survey and experimental studies. Cluster-based designs can be less costly but also less efficient than individual-based designs due to correlation between individuals…

统计方法学 · 统计学 2021-07-22 Samuel I. Watson

Clustering analysis is one of the most widely used statistical tools in many emerging areas such as microarray data analysis. For microarray and other high-dimensional data, the presence of many noise variables may mask underlying…

机器学习 · 统计学 2008-03-26 Benhuai Xie , Wei Pan , Xiaotong Shen

A method for dimension reduction with clustering, classification, or discriminant analysis is introduced. This mixture model-based approach is based on fitting generalized hyperbolic mixtures on a reduced subspace within the paradigm of…

统计方法学 · 统计学 2017-10-09 Katherine Morris , Paul D. McNicholas

In this paper, we study the application of sparse principal component analysis (PCA) to clustering and feature selection problems. Sparse PCA seeks sparse factors, or linear combinations of the data variables, explaining a maximum amount of…

人工智能 · 计算机科学 2008-10-08 Ronny Luss , Alexandre d'Aspremont

The area of constrained clustering has been extensively explored by researchers and used by practitioners. Constrained clustering formulations exist for popular algorithms such as k-means, mixture models, and spectral clustering but have…

机器学习 · 计算机科学 2021-01-11 Hongjing Zhang , Tianyang Zhan , Sugato Basu , Ian Davidson