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Pattern comparison represents a fundamental and crucial aspect of scientific modeling, artificial intelligence, and pattern recognition. Three main approaches have typically been applied for pattern comparison: (i) distances; (ii)…

Physics and Society · Physics 2024-07-12 Alexandre Benatti , Luciano da F. Costa

Deep clustering as an important branch of unsupervised representation learning focuses on embedding semantically similar samples into the identical feature space. This core demand inspires the exploration of contrastive learning and…

Computer Vision and Pattern Recognition · Computer Science 2024-04-16 Haifeng Xia , Hai Huang , Zhengming Ding

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…

Databases · Computer Science 2024-12-02 Binbin Gu , Saeed Kargar , Faisal Nawab

We study the problem of applying spectral clustering to cluster multi-scale data, which is data whose clusters are of various sizes and densities. Traditional spectral clustering techniques discover clusters by processing a similarity…

Machine Learning · Computer Science 2020-06-09 Xiang Li , Ben Kao , Caihua Shan , Dawei Yin , Martin Ester

Invariant coordinate selection (ICS) and projection pursuit (PP) are two methods that can be used to detect clustering directions in multivariate data by optimizing criteria sensitive to non-normality. In particular, ICS finds clustering…

Methodology · Statistics 2015-03-27 Fatimah Alashwali , John Kent

In this paper we explore the use of spatial clustering algorithms as a new computational approach for modeling the cosmic web. We demonstrate that such algorithms are efficient in terms of computing time needed. We explore three distinct…

Instrumentation and Methods for Astrophysics · Physics 2022-09-14 Dimitrios Kelesis , Spyros Basilakos , Vicky Papadopoulou Lesta , Dimitris Fotakis , Andreas Efstathiou

This paper considers the problem of clustering a collection of unlabeled data points assumed to lie near a union of lower-dimensional planes. As is common in computer vision or unsupervised learning applications, we do not know in advance…

Information Theory · Computer Science 2013-01-31 Mahdi Soltanolkotabi , Emmanuel J. Candés

Spectral clustering is a fundamental technique in the field of data mining and information processing. Most existing spectral clustering algorithms integrate dimensionality reduction into the clustering process assisted by manifold learning…

Machine Learning · Computer Science 2014-11-25 Xiaojun Chang , Feiping Nie , Zhigang Ma , Yi Yang , Xiaofang Zhou

Clustering analysis has received considerable attention in spatial data mining for several years. With the rapid development of the geospatial information technologies, the size of spatial information data is growing exponentially which…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-08-25 Xia Yue , Wang Man , Jun Yue , Guangcao Liu

Spectral clustering is a popular method for effectively clustering nonlinearly separable data. However, computational limitations, memory requirements, and the inability to perform incremental learning challenge its widespread application.…

Machine Learning · Computer Science 2023-11-15 Jo-Chun Chen , Hung-Hsuan Chen

Well-spread samples are desirable in many disciplines because they improve estimation when target variables exhibit spatial structure. This paper introduces an integrated methodological framework for spreading samples over the population's…

Methodology · Statistics 2025-10-29 Bardia Panahbehagh , Mehdi Mohebbi , Amir Mohammad HosseiniNasab

Hierarchical clustering is a stronger extension of one of today's most influential unsupervised learning methods: clustering. The goal of this method is to create a hierarchy of clusters, thus constructing cluster evolutionary history and…

Data Structures and Algorithms · Computer Science 2021-01-14 MohammadTaghi Hajiaghayi , Marina Knittel

We consider four main goals when fitting spatial linear models: 1) estimating covariance parameters, 2) estimating fixed effects, 3) kriging (making point predictions), and 4) block-kriging (predicting the average value over a region). Each…

Methodology · Statistics 2023-05-16 Jay M. Ver Hoef , Michael Dumelle , Matt Higham , Erin E. Peterson , Daniel J. Isaak

The phenomenon that multi-path components (MPCs) arrive in clusters has been verified by channel measurements, and is widely adopted by cluster-based channel models. As a crucial intermediate processing step, MPC clustering bridges raw data…

Information Theory · Computer Science 2025-04-30 Yiqin Wang , Chong Han

Investigating relationships between response variables and covariates in areas such as environmental science, geoscience, and public health is an important endeavor. Based on a Bayesian mixture of finite mixtures model, we present a novel…

Methodology · Statistics 2023-06-06 Peng Zhao , Hou-Cheng Yang , Dipak K. Dey , Guanyu Hu

Bayesian model-based spatial clustering methods are widely used for their flexibility in estimating latent clusters with an unknown number of clusters while accounting for spatial proximity. Many existing methods are designed for clustering…

Methodology · Statistics 2025-08-13 Kun Huang , Huiyan Sang

This paper presents a novel clustering algorithm from the SPINEX (Similarity-based Predictions with Explainable Neighbors Exploration) algorithmic family. The newly proposed clustering variant leverages the concept of similarity and…

Machine Learning · Computer Science 2024-07-11 MZ Naser , Ahmed Naser

Given i.i.d. sample from a stratified mixture of immersed manifolds of different dimensions, we study the minimax estimation of the underlying stratified structure. We provide a constructive algorithm allowing to estimate each mixture…

Statistics Theory · Mathematics 2024-05-31 Eddie Aamari , Clément Berenfeld

Many real-life data are described by categorical attributes without a pre-classification. A common data mining method used to extract information from this type of data is clustering. This method group together the samples from the data…

Machine Learning · Computer Science 2014-07-30 Fabricio Olivetti de França

Spatial transcriptomics measures the expression of thousands of genes in a tissue sample while preserving its spatial structure. This class of technologies has enabled the investigation of the spatial variation of gene expressions and their…

Methodology · Statistics 2025-10-23 Andrea Sottosanti , Davide Risso , Francesco Denti