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We propose a method for the unsupervised clustering of hyperspectral images based on spatially regularized spectral clustering with ultrametric path distances. The proposed method efficiently combines data density and geometry to…

Computer Vision and Pattern Recognition · Computer Science 2020-04-13 Shukun Zhang , James M. Murphy

This article presents a novel pretopology-based algorithm designed to address the challenges of clustering mixed data without the need for dimensionality reduction. Leveraging Disjunctive Normal Form, our approach formulates customizable…

Machine Learning · Computer Science 2025-12-04 Loup-Noe Levy , Guillaume Guerard , Sonia Djebali , Soufian Ben Amor

Clustering is an underspecified task: there are no universal criteria for what makes a good clustering. This is especially true for relational data, where similarity can be based on the features of individuals, the relationships between…

Machine Learning · Statistics 2017-09-29 Sebastijan Dumancic , Hendrik Blockeel

Currently, data-driven discovery in biological sciences resides in finding segmentation strategies in multivariate data that produce sensible descriptions of the data. Clustering is but one of several approaches and sometimes falls short…

Quantitative Methods · Quantitative Biology 2022-08-12 Richard Tjörnhammar

Partial orders and directed acyclic graphs are commonly recurring data structures that arise naturally in numerous domains and applications and are used to represent ordered relations between entities in the domains. Examples are task…

Machine Learning · Computer Science 2021-12-21 Daniel Bakkelund

In the present paper we discuss the clustering procedure in the case where instead of a single metric we have a family of metrics. In this case we can obtain a partially ordered graph of clusters which is not necessarily a tree. We discuss…

Data Structures and Algorithms · Computer Science 2012-08-01 S. Albeverio , S. V. Kozyrev

Object Cluster Hierarchies is a new variant of Hierarchical Cluster Analysis that gains interest in the field of Machine Learning. Being still at an early stage of development, the lack of tools for systematic analysis of Object Cluster…

Computer Vision and Pattern Recognition · Computer Science 2020-04-07 Łukasz P. Olech , Michał Spytkowski , Halina Kwaśnicka , Zbigniew Michalewicz

State-of-the-art subspace clustering methods are based on self-expressive model, which represents each data point as a linear combination of other data points. By enforcing such representation to be sparse, sparse subspace clustering is…

Machine Learning · Computer Science 2020-05-05 Ying Chen , Chun-Guang Li , Chong You

This work proposes a hierarchical clustering algorithm for high-dimensional datasets using the cyclic space of reversible finite cellular automata. In cellular automaton (CA) based clustering, if two objects belong to the same cycle, they…

Formal Languages and Automata Theory · Computer Science 2024-08-06 Baby C. J. , Kamalika Bhattacharjee

Most real-world IoT data analysis tasks, such as clustering and anomaly event detection, are unsupervised and highly susceptible to the presence of outliers. In addition to sporadic scattered outliers caused by factors such as faulty sensor…

Machine Learning · Computer Science 2026-03-16 Yiqun Zhang , Zexi Tan , Xiaopeng Luo , Yunlin Liu

Clustering high-dimensional datasets is hard because interpoint distances become less informative in high-dimensional spaces. We present a clustering algorithm that performs nonlinear dimensionality reduction and clustering jointly. The…

Machine Learning · Computer Science 2018-03-06 Sohil Atul Shah , Vladlen Koltun

This paper explores hierarchical clustering in the case where pairs of points have dissimilarity scores (e.g. distances) as a part of the input. The recently introduced objective for points with dissimilarity scores results in every tree…

Machine Learning · Computer Science 2020-09-01 Benjamin Moseley , Yuyan Wang

Brain networks, graphical models such as those constructed from MRI, have been widely used in pathological prediction and analysis of brain functions. Within the complex brain system, differences in neuronal connection strengths parcellate…

Machine Learning · Computer Science 2023-05-09 Wei Dai , Hejie Cui , Xuan Kan , Ying Guo , Sanne van Rooij , Carl Yang

Graph clustering aims at discovering a natural grouping of the nodes such that similar nodes are assigned to a common cluster. Many different algorithms have been proposed in the literature: for simple graphs, for graphs with attributes…

Machine Learning · Computer Science 2023-11-06 Ylli Sadikaj , Yllka Velaj , Sahar Behzadi , Claudia Plant

Our interest is in multiplex network data with multiple network samples observed across the same set of nodes. Examples originate from a variety of fields, including brain connectivity, international trade networks, and social networks,…

Methodology · Statistics 2026-04-21 Yuren Zhou , Yuqi Gu , David B. Dunson

A new method for hierarchical clustering is presented. It combines treelets, a particular multiscale decomposition of data, with a projection on a reproducing kernel Hilbert space. The proposed approach, called kernel treelets (KT),…

Machine Learning · Statistics 2019-07-24 Hedi Xia , Hector D. Ceniceros

Networks (or graphs) appear as dominant structures in diverse domains, including sociology, biology, neuroscience and computer science. In most of the aforementioned cases graphs are directed - in the sense that there is directionality on…

Social and Information Networks · Computer Science 2015-06-16 Fragkiskos D. Malliaros , Michalis Vazirgiannis

Scientists in many fields have the common and basic need of dimensionality reduction: visualizing the underlying structure of the massive multivariate data in a low-dimensional space. However, many dimensionality reduction methods confront…

Machine Learning · Statistics 2015-03-19 Teng Qiu , Yongjie Li

Many methods have been developed for data clustering, such as k-means, expectation maximization and algorithms based on graph theory. In this latter case, graphs are generally constructed by taking into account the Euclidian distance as a…

Data Analysis, Statistics and Probability · Physics 2011-01-27 Francisco A. Rodrigues , Guilherme Ferraz de Arruda , Luciano da Fontoura Costa

Clustering aims to form groups of similar data points in an unsupervised regime. Yet, clustering complex datasets containing critically intertwined shapes poses significant challenges. The prevailing clustering algorithms widely depend on…

Machine Learning · Computer Science 2025-05-08 Arghya Pratihar , Kushal Bose , Swagatam Das
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