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We study supervised learning problems using clustering constraints to impose structure on either features or samples, seeking to help both prediction and interpretation. The problem of clustering features arises naturally in text…

Machine Learning · Computer Science 2016-09-20 Vincent Roulet , Fajwel Fogel , Alexandre d'Aspremont , Francis Bach

Hierarchical clustering is a common algorithm in data analysis. It is unique among many clustering algorithms in that it draws dendrograms based on the distance of data under a certain metric, and group them. It is widely used in all areas…

Instrumentation and Methods for Astrophysics · Physics 2022-11-14 Heng Yu , Xiaolan Hou

Clustering is a core task in machine learning with wide-ranging applications in data mining and pattern recognition. However, its unsupervised nature makes it inherently challenging. Many existing clustering algorithms suffer from critical…

Machine Learning · Computer Science 2025-07-29 Ahmed Shokry , Ayman Khalafallah

Clustering is a fundamental machine learning task which has been widely studied in the literature. Classic clustering methods follow the assumption that data are represented as features in a vectorized form through various representation…

Machine Learning · Computer Science 2022-06-16 Sheng Zhou , Hongjia Xu , Zhuonan Zheng , Jiawei Chen , Zhao li , Jiajun Bu , Jia Wu , Xin Wang , Wenwu Zhu , Martin Ester

In this paper, we propose a simple algorithm to cluster nonnegative data lying in disjoint subspaces. We analyze its performance in relation to a certain measure of correlation between said subspaces. We use our clustering algorithm to…

Machine Learning · Statistics 2020-09-04 C. Strohmeier , D. Needell

This paper focuses on the problem of hierarchical non-overlapping clustering of a dataset. In such a clustering, each data item is associated with exactly one leaf node and each internal node is associated with all the data items stored in…

Machine Learning · Statistics 2021-05-26 Weipeng Huang , Nishma Laitonjam , Guangyuan Piao , Neil Hurley

This paper presents a new multitask learning framework that learns a shared representation among the tasks, incorporating both task and feature clusters. The jointly-induced clusters yield a shared latent subspace where task relationships…

Machine Learning · Statistics 2017-03-06 Keerthiram Murugesan , Jaime Carbonell , Yiming Yang

Clustering is a class of unsupervised learning methods that has been extensively applied and studied in computer vision. Little work has been done to adapt it to the end-to-end training of visual features on large scale datasets. In this…

Computer Vision and Pattern Recognition · Computer Science 2019-03-19 Mathilde Caron , Piotr Bojanowski , Armand Joulin , Matthijs Douze

Clustering of high-dimensional data sets is a growing need in artificial intelligence, machine learning and pattern recognition. In this paper, we propose a new clustering method based on a combinatorial-topological approach applied to…

Machine Learning · Computer Science 2025-03-12 Mauricio Toledo-Acosta , Luis Ángel Ramos-García , Jorge Hermosillo-Valadez

A combinatorial cost function for hierarchical clustering was introduced by Dasgupta \cite{dasgupta2016cost}. It has been generalized by Cohen-Addad et al. \cite{cohen2019hierarchical} to a general form named admissible function. In this…

Machine Learning · Computer Science 2021-08-16 Yicheng Pan , Feng Zheng , Bingchen Fan

The feature-selection problem is formulated from an information-theoretic perspective. We show that the problem can be efficiently solved by an extension of the recently proposed info-clustering paradigm. This reveals the fundamental…

Information Theory · Computer Science 2016-10-06 Chung Chan , Ali Al-Bashabsheh , Qiaoqiao Zhou , Tie Liu

The task of clustering a set of objects based on multiple sources of data arises in several modern applications. We propose an integrative statistical model that permits a separate clustering of the objects for each data source. These…

Machine Learning · Statistics 2015-12-01 Eric F. Lock , David B. Dunson

Many tasks in data mining and related fields can be formalized as matching between objects in two heterogeneous domains, including collaborative filtering, link prediction, image tagging, and web search. Machine learning techniques,…

Machine Learning · Computer Science 2014-10-24 Jingbo Shang , Tianqi Chen , Hang Li , Zhengdong Lu , Yong Yu

Clustering functional data is a challenging task due to intrinsic infinite-dimensionality and the need for stable, data-adaptive partitioning. In this work, we propose a clustering framework based on Random Projections, which simultaneously…

Methodology · Statistics 2025-12-18 Matteo Mori , Laura Anderlucci

Clustering is a crucial tool for analyzing data in virtually every scientific and engineering discipline. There are more scalable solutions framed to enable time and space clustering for the future large-scale data analyses. As a result,…

Databases · Computer Science 2023-08-23 D. D. D. Suribabu , T. Hitendra Sarma , B. Eswar Reddy

We propose a novel approach to the problem of multilevel clustering, which aims to simultaneously partition data in each group and discover grouping patterns among groups in a potentially large hierarchically structured corpus of data. Our…

Machine Learning · Statistics 2017-06-14 Nhat Ho , XuanLong Nguyen , Mikhail Yurochkin , Hung Hai Bui , Viet Huynh , Dinh Phung

We propose a MAP Bayesian approach to perform and evaluate a co-clustering of mixed-type data tables. The proposed model infers an optimal segmentation of all variables then performs a co-clustering by minimizing a Bayesian model selection…

Machine Learning · Statistics 2019-02-07 Aichetou Bouchareb , Marc Boullé , Fabrice Rossi , Fabrice Clérot

Large datasets with interactions between objects are common to numerous scientific fields (i.e. social science, internet, biology...). The interactions naturally define a graph and a common way to explore or summarize such dataset is graph…

Applications · Statistics 2009-10-13 Hugo Zanghi , Stevenn Volant , Christophe Ambroise

We propose an algorithm, HPREF (Hierarchical Partitioning by Repeated Features), that produces a hierarchical partition of a set of clusterings of a fixed dataset, such as sets of clusterings produced by running a clustering algorithm with…

Machine Learning · Statistics 2019-10-01 Alexander Rolle , Luis Scoccola

The description of complex configuration is a difficult issue. We present a powerful technique for cluster identification and characterization. The scheme is designed to treat with and analyze the experimental and/or simulation data from…

Statistical Mechanics · Physics 2013-08-29 Guangcai Zhang , Aiguo Xu , Guo Lu , Zeyao Mo
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