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Patchwork learning arises as a new and challenging data collection paradigm where both samples and features are observed in fragmented subsets. Due to technological limits, measurement expense, or multimodal data integration, such patchwork…

Methodology · Statistics 2024-06-21 Lili Zheng , Andersen Chang , Genevera I. Allen

In this paper, we study clustering with respect to the k-modes objective function, a natural formulation of clustering for categorical data. One of the main contributions of this paper is to establish the connection between k-modes and…

Artificial Intelligence · Computer Science 2007-05-23 Zengyou He

Clustering is a fundamental unsupervised learning approach. Many clustering algorithms -- such as $k$-means -- rely on the euclidean distance as a similarity measure, which is often not the most relevant metric for high dimensional data…

Machine Learning · Computer Science 2019-10-22 Aude Genevay , Gabriel Dulac-Arnold , Jean-Philippe Vert

Reduced k-means clustering is a method for clustering objects in a low-dimensional subspace. The advantage of this method is that both clustering of objects and low-dimensional subspace reflecting the cluster structure are simultaneously…

Statistics Theory · Mathematics 2014-02-14 Yoshikazu Terada

Traditionally, graph quality metrics focus on readability, but recent studies show the need for metrics which are more specific to the discovery of patterns in graphs. Cluster analysis is a popular task within graph analysis, yet there is…

Data Structures and Algorithms · Computer Science 2019-08-22 Amyra Meidiana , Seok-Hee Hong , Peter Eades , Daniel Keim

Spectral clustering is known as a powerful technique in unsupervised data analysis. The vast majority of approaches to spectral clustering are driven by a single modality, leaving the rich information in multi-modal representations…

Computer Vision and Pattern Recognition · Computer Science 2026-03-17 Bo Peng , Yuanwei Hu , Bo Liu , Ling Chen , Jie Lu , Zhen Fang

In many situations it is desirable to identify clusters that differ with respect to only a subset of features. Such clusters may represent homogeneous subgroups of patients with a disease, such as cancer or chronic pain. We define a…

Methodology · Statistics 2014-07-14 Qian Liu , Guanhua Chen , Michael R. Kosorok , Eric Bair

Bagging and boosting are proved to be the best methods of building multiple classifiers in classification combination problems. In the area of "flat clustering" problems, it is also recognized that multi-clustering methods based on boosting…

Machine Learning · Computer Science 2018-05-31 Elaheh Rashedi , Abdolreza Mirzaei

A new interpoint distance-based measure is proposed to identify the optimal number of clusters present in a data set. Designed in nonparametric approach, it is independent of the distribution of given data. Interpoint distances between the…

Machine Learning · Computer Science 2022-10-18 Soumita Modak

Co-clustering is a specific type of clustering that addresses the problem of finding groups of objects without necessarily considering all attributes. This technique has shown to have more consistent results in high-dimensional sparse data…

Machine Learning · Computer Science 2021-10-28 Yuri Santos , Jônata Tyska , Vania Bogorny

A novel and intuitive nearest neighbours based clustering algorithm is introduced, in which a cluster is defined in terms of an equilibrium condition which balances its size and cohesiveness. The formulation of the equilibrium condition…

Machine Learning · Computer Science 2025-03-31 David P. Hofmeyr

Graph clustering is an unsupervised machine learning method that partitions the nodes in a graph into different groups. Despite achieving significant progress in exploiting both attributed and structured data information, graph clustering…

Machine Learning · Computer Science 2025-01-03 Rui Zhang , Xiaoyang Hou , Zhihua Tian , Yan he , Enchao Gong , Jian Liu , Qingbiao Wu , Kui Ren

A major limitation of clustering approaches is their lack of explainability: methods rarely provide insight into which features drive the grouping of similar observations. To address this limitation, we propose an ensemble-based clustering…

Machine Learning · Statistics 2026-03-23 Federico Maria Quetti , Elena Ballante , Silvia Figini , Paolo Giudici

We introduce a novel criterion in clustering that seeks clusters with limited range of values associated with each cluster's elements. In clustering or classification the objective is to partition a set of objects into subsets, called…

Data Structures and Algorithms · Computer Science 2018-05-15 Dorit S. Hochbaum

Clustering is a powerful and extensively used data science tool. While clustering is generally thought of as an unsupervised learning technique, there are also supervised variations such as Spath's clusterwise regression that attempt to…

Machine Learning · Computer Science 2023-05-09 Aravinth Chembu , Scott Sanner

Density-based cluster mining is known to serve a broad range of applications ranging from stock trade analysis to moving object monitoring. Although methods for efficient extraction of density-based clusters have been studied in the…

Databases · Computer Science 2011-11-01 Di Yang , Elke A. Rundensteiner , Matthew O. Ward

In many applications of X-ray computed tomography, an unsupervised segmentation of the reconstructed 3D volumes forms an important step in the image processing chain for further investigation of the digitized object. Therefore, the goal is…

Computer Vision and Pattern Recognition · Computer Science 2023-03-09 Thomas Lang

We propose some axioms for hierarchical clustering of probability measures and investigate their ramifications. The basic idea is to let the user stipulate the clusters for some elementary measures. This is done without the need of any…

Machine Learning · Statistics 2016-05-24 Philipp Thomann , Ingo Steinwart , Nico Schmid

Many real-world systems can be studied in terms of pattern recognition tasks, so that proper use (and understanding) of machine learning methods in practical applications becomes essential. While a myriad of classification methods have been…

Clustering has received much attention in Statistics and Machine learning with the aim of developing statistical models and autonomous algorithms which are capable of acquiring information from raw data in order to perform exploratory…

Methodology · Statistics 2022-07-26 Victor Muthama Musau , Carlo Gaetan , Paolo Girardi