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Notwithstanding the popularity of conventional clustering algorithms such as K-means and probabilistic clustering, their clustering results are sensitive to the presence of outliers in the data. Even a few outliers can compromise the…

Machine Learning · Statistics 2015-05-27 Pedro A. Forero , Vassilis Kekatos , Georgios B. Giannakis

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,…

Machine Learning · Computer Science 2023-10-31 Oleg I. Berngardt

Clustering is a widely used technique with a long and rich history in a variety of areas. However, most existing algorithms do not scale well to large datasets, or are missing theoretical guarantees of convergence. This paper introduces a…

Machine Learning · Statistics 2024-10-16 Yijia Zhou , Kyle A. Gallivan , Adrian Barbu

In this work, we study diversity-aware clustering problems where the data points are associated with multiple attributes resulting in intersecting groups. A clustering solution needs to ensure that the number of chosen cluster centers from…

Data Structures and Algorithms · Computer Science 2025-05-21 Suhas Thejaswi , Ameet Gadekar , Bruno Ordozgoiti , Aristides Gionis

Many algorithms for approximate nearest neighbor search in high-dimensional spaces partition the data into clusters. At query time, in order to avoid exhaustive search, an index selects the few (or a single) clusters nearest to the query…

Computer Vision and Pattern Recognition · Computer Science 2010-09-27 Romain Tavenard , Laurent Amsaleg , Hervé Jégou

This paper presents a neural network-based end-to-end clustering framework. We design a novel strategy to utilize the contrastive criteria for pushing data-forming clusters directly from raw data, in addition to learning a feature embedding…

Machine Learning · Computer Science 2016-04-27 Yen-Chang Hsu , Zsolt Kira

Clustering is an important data mining technique where we will be interested in maximizing intracluster distance and also minimizing intercluster distance. We have utilized clustering techniques for detecting deviation in product sales and…

Databases · Computer Science 2013-12-11 S. Hanumanth Sastry , Prof. M. S. Prasada Babu

Identifying possible clusters in datasets and estimating their overall modularity are central tasks in pattern recognition. In the present work, concepts and methodologies are described for performing these tasks while considering only the…

Physics and Society · Physics 2026-05-27 Alexandre Benatti , Luciano da F. Costa

We present a novel framework exploiting the cascade of phase transitions occurring during a simulated annealing of the Expectation-Maximisation algorithm to cluster datasets with multi-scale structures. Using the weighted local covariance,…

Machine Learning · Statistics 2021-01-13 T. Bonnaire , A. Decelle , N. Aghanim

This paper investigates two fundamental descriptors of data, i.e., density distribution versus mass distribution, in the context of clustering. Density distribution has been the de facto descriptor of data distribution since the…

Machine Learning · Statistics 2026-01-26 Kai Ming Ting , Ye Zhu , Hang Zhang , Tianrun Liang

We introduce a tensor-based clustering method to extract sparse, low-dimensional structure from high-dimensional, multi-indexed datasets. This framework is designed to enable detection of clusters of data in the presence of structural…

Quantitative Methods · Quantitative Biology 2019-02-11 Anna Seigal , Mariano Beguerisse-Díaz , Birgit Schoeberl , Mario Niepel , Heather A. Harrington

A model involving Gaussian processes (GPs) is introduced to simultaneously handle multi-task learning, clustering, and prediction for multiple functional data. This procedure acts as a model-based clustering method for functional data as…

Machine Learning · Computer Science 2023-01-24 Arthur Leroy , Pierre Latouche , Benjamin Guedj , Servane Gey

This paper focuses on scalability and robustness of spectral clustering for extremely large-scale datasets with limited resources. Two novel algorithms are proposed, namely, ultra-scalable spectral clustering (U-SPEC) and ultra-scalable…

Machine Learning · Computer Science 2019-03-06 Dong Huang , Chang-Dong Wang , Jian-Sheng Wu , Jian-Huang Lai , Chee-Keong Kwoh

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…

Machine Learning · Statistics 2017-01-02 Andreas Henelius , Kai Puolamäki , Henrik Boström , Panagiotis Papapetrou

Measuring similarity between two objects is the core operation in existing clustering algorithms in grouping similar objects into clusters. This paper introduces a new similarity measure called point-set kernel which computes the similarity…

Machine Learning · Computer Science 2022-01-07 Kai Ming Ting , Jonathan R. Wells , Ye Zhu

Understanding treatment effect heterogeneity is vital for scientific and policy research. However, identifying and evaluating heterogeneous treatment effects pose significant challenges due to the typically unknown subgroup structure.…

Methodology · Statistics 2024-11-05 Kwangho Kim , Jisu Kim , Larry A. Wasserman , Edward H. Kennedy

A major challenge in cluster analysis is that the number of data clusters is mostly unknown and it must be estimated prior to clustering the observed data. In real-world applications, the observed data is often subject to heavy tailed noise…

Machine Learning · Statistics 2020-05-06 Freweyni K. Teklehaymanot , Michael Muma , Abdelhak M. Zoubir

Economic policy and research rely on the correct evaluation of the billions of high-frequency data points that we collect every day. Consistent clustering algorithms, like DBSCAN, allow us to make sense of the data in a useful way. However,…

Statistics Theory · Mathematics 2024-03-25 Nicholas Waltz

We present an approach to clustering time series data using a model-based generalization of the K-Means algorithm which we call K-Models. We prove the convergence of this general algorithm and relate it to the hard-EM algorithm for mixture…

Methodology · Statistics 2022-07-04 Derek O. Hoare , David S. Matteson , Martin T. Wells

CFSFDP (clustering by fast search and find of density peaks) is recently developed density-based clustering algorithm. Compared to DBSCAN, it needs less parameters and is computationally cheap for its non-iteration. Alex. at al have…

Data Structures and Algorithms · Computer Science 2015-05-22 Wenkai Zhang , Jing Li