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A new method for clustering functional data is proposed via information maximization. The proposed method learns a probabilistic classifier in an unsupervised manner so that mutual information (or squared loss mutual information) between…

应用统计 · 统计学 2023-06-08 Xinyu Li , Jianjun Xu , Haoyang Cheng

Subspace clustering, the task of clustering high dimensional data when the data points come from a union of subspaces is one of the fundamental tasks in unsupervised machine learning. Most of the existing algorithms for this task require…

机器学习 · 统计学 2020-10-28 Vishnu Menon , Gokularam M , Sheetal Kalyani

Variable selection in cluster analysis is important yet challenging. It can be achieved by regularization methods, which realize a trade-off between the clustering accuracy and the number of selected variables by using a lasso-type penalty.…

统计方法学 · 统计学 2016-12-23 Marbac Matthieu , Sedki Mohammed

In an age of increasingly large data sets, investigators in many different disciplines have turned to clustering as a tool for data analysis and exploration. Existing clustering methods, however, typically depend on several nontrivial…

定量方法 · 定量生物学 2009-11-11 Noam Slonim , Gurinder Singh Atwal , Gasper Tkacik , William Bialek

We are concerned in clustering continuous data sets subject to non-ignorable missingness. We perform clustering with a specific semi-parametric mixture, under the assumption of conditional independence given the component. The mixture model…

统计方法学 · 统计学 2021-07-20 Marie Du Roy de Chaumaray , Matthieu Marbac

We present a global optimization algorithm for clustering data given the ratio of likelihoods that each pair of data points is in the same cluster or in different clusters. To define a clustering solution in terms of pairwise relationships,…

机器学习 · 计算机科学 2015-06-11 Vijay Kumar , Dan Levy

Hierarchical clustering is a popular unsupervised data analysis method. For many real-world applications, we would like to exploit prior information about the data that imposes constraints on the clustering hierarchy, and is not captured by…

数据结构与算法 · 计算机科学 2018-07-17 Vaggos Chatziafratis , Rad Niazadeh , Moses Charikar

With rapidly increasing data, clustering algorithms are important tools for data analytics in modern research. They have been successfully applied to a wide range of domains; for instance, bioinformatics, speech recognition, and financial…

数据结构与算法 · 计算机科学 2015-12-01 Ka-Chun Wong

Clustering is an unsupervised machine learning methodology where unlabeled elements/objects are grouped together aiming to the construction of well-established clusters that their elements are classified according to their similarity. The…

机器学习 · 统计学 2023-10-20 Dimitrios Saligkaras , Vasileios E. Papageorgiou

We introduce a new clustering method for the classification of functional data sets by their probabilistic law, that is, a procedure that aims to assign data sets to the same cluster if and only if the data were generated with the same…

统计方法学 · 统计学 2023-12-29 Antonio Galves , Fernando Najman , Marcela Svarc , Claudia D. Vargas

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…

计算机视觉与模式识别 · 计算机科学 2020-04-28 Luhong Diao , Jinying Gao1 , Manman Deng

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…

机器学习 · 统计学 2017-01-02 Andreas Henelius , Kai Puolamäki , Henrik Boström , Panagiotis Papapetrou

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

We present a hierarchical maximum-margin clustering method for unsupervised data analysis. Our method extends beyond flat maximum-margin clustering, and performs clustering recursively in a top-down manner. We propose an effective greedy…

机器学习 · 计算机科学 2015-02-09 Guang-Tong Zhou , Sung Ju Hwang , Mark Schmidt , Leonid Sigal , Greg Mori

We present a new clustering method in the form of a single clustering equation that is able to directly discover groupings in the data. The main proposition is that the first neighbor of each sample is all one needs to discover large chains…

计算机视觉与模式识别 · 计算机科学 2019-03-01 M. Saquib Sarfraz , Vivek Sharma , Rainer Stiefelhagen

Several methods have been proposed to estimate the number of clusters in a dataset; the basic ideal behind all of them has been to study an index that measures inter-cluster separation and intra-cluster cohesion over a range of cluster…

计算机视觉与模式识别 · 计算机科学 2016-01-12 Bhaskar Mukhoty , Ruchir Gupta , Y. N. Singh

We consider stochastic settings for clustering, and develop provably-good approximation algorithms for a number of these notions. These algorithms yield better approximation ratios compared to the usual deterministic clustering setting.…

数据结构与算法 · 计算机科学 2023-10-13 David G. Harris , Shi Li , Thomas Pensyl , Aravind Srinivasan , Khoa Trinh

Partially recorded data are frequently encountered in many applications and usually clustered by first removing incomplete cases or features with missing values, or by imputing missing values, followed by application of a clustering…

统计方法学 · 统计学 2021-10-20 Emily M. Goren , Ranjan Maitra

Clustered data is ubiquitous in a variety of scientific fields. In this paper, we propose a flexible and interpretable modeling approach, called grouped heterogenous mixture modeling, for clustered data, which models cluster-wise…

统计方法学 · 统计学 2020-02-10 Shonosuke Sugasawa

The paper presents the algorithm for clustering a dataset by grouping the optimal, from the point of view of the BIC criterion, number of Gaussian clusters into the optimal, from the point of view of their statistical separability,…

机器学习 · 计算机科学 2023-10-31 Oleg I. Berngardt
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