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Clustering is one of the most universal approaches for understanding complex data. A pivotal aspect of clustering analysis is quantitatively comparing clusterings; clustering comparison is the basis for many tasks such as clustering…

Machine Learning · Statistics 2019-06-13 Alexander J. Gates , Ian B. Wood , William P. Hetrick , Yong-Yeol Ahn

In subspace clustering, a group of data points belonging to a union of subspaces are assigned membership to their respective subspaces. This paper presents a new approach dubbed Innovation Pursuit (iPursuit) to the problem of subspace…

Computer Vision and Pattern Recognition · Computer Science 2017-11-28 Mostafa Rahmani , George Atia

While clustering is ubiquitously used across science and industry, uncertainty in cluster assignments is rarely quantified with rigorous guarantees. We propose a novel conformal inference framework for clustering that returns confidence…

Methodology · Statistics 2026-04-13 YoonHaeng Hur , Anirban Nath , Genevera Allen

This work considers clustering nodes of a largely incomplete graph. Under the problem setting, only a small amount of queries about the edges can be made, but the entire graph is not observable. This problem finds applications in…

Machine Learning · Computer Science 2021-10-04 Shahana Ibrahim , Xiao Fu

Spectral clustering has found extensive use in many areas. Most traditional spectral clustering algorithms work in three separate steps: similarity graph construction; continuous labels learning; discretizing the learned labels by k-means…

Machine Learning · Computer Science 2017-11-15 Zhao Kang , Chong Peng , Qiang Cheng , Zenglin Xu

We focus on spectral clustering of unlabeled graphs and review some results on clustering methods which achieve weak or strong consistent identification in data generated by such models. We also present a new algorithm which appears to…

Statistics Theory · Mathematics 2015-08-11 Sharmodeep Bhattacharyya , Peter J. Bickel

Medical data often exhibit characteristics that make cluster analysis particularly challenging, such as missing values, outliers, and cluster features like skewness. Typically, such data would need to be preprocessed -- by cleaning outliers…

Methodology · Statistics 2025-12-16 Jason Pillay , Cristina Tortora , Antonio Punzo , Andriette Bekker

Spectral clustering is a celebrated algorithm that partitions objects based on pairwise similarity information. While this approach has been successfully applied to a variety of domains, it comes with limitations. The reason is that there…

Statistics Theory · Mathematics 2018-05-24 Kwangjun Ahn , Kangwook Lee , Changho Suh

Although much of the focus of statistical works on networks has been on static networks, multiple networks are currently becoming more common among network data sets. Usually, a number of network data sets, which share some form of…

Methodology · Statistics 2018-05-29 Sharmodeep Bhattacharyya , Shirshendu Chatterjee

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 a technique for the analysis of datasets obtained by empirical studies in several disciplines with a major application for biomedical research. Essentially, clustering algorithms are executed by machines aiming at finding…

Quantitative Methods · Quantitative Biology 2024-09-30 Diego Ulisse Pizzagalli , Santiago Fernandez Gonzalez , Rolf Krause

Given a large unlabeled set of images, how to efficiently and effectively group them into clusters based on extracted visual representations remains a challenging problem. To address this problem, we propose a convolutional neural network…

Computer Vision and Pattern Recognition · Computer Science 2017-08-14 Chih-Chung Hsu , Chia-Wen Lin

A learning classifier must outperform a trivial solution, in case of imbalanced data, this condition usually does not hold true. To overcome this problem, we propose a novel data level resampling method - Clustering Based Oversampling for…

Machine Learning · Computer Science 2018-11-13 Naman D. Singh , Abhinav Dhall

Clustering is one of the most fundamental and wide-spread techniques in exploratory data analysis. Yet, the basic approach to clustering has not really changed: a practitioner hand-picks a task-specific clustering loss to optimize and fit…

Machine Learning · Computer Science 2019-11-01 Yibo Jiang , Nakul Verma

Recent efforts have been made on acoustic scene classification in the audio signal processing community. In contrast, few studies have been conducted on acoustic scene clustering, which is a newly emerging problem. Acoustic scene clustering…

Audio and Speech Processing · Electrical Eng. & Systems 2023-06-12 Yanxiong Li , Mingle Liu , Wucheng Wang , Yuhan Zhang , Qianhua He

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

The problem of dimension reduction is of increasing importance in modern data analysis. In this paper, we consider modeling the collection of points in a high dimensional space as a union of low dimensional subspaces. In particular we…

Machine Learning · Statistics 2020-06-12 Weiwei Li , Jan Hannig , Sayan Mukherjee

In the past decades, spectral clustering (SC) has become one of the most effective clustering algorithms. However, most previous studies focus on spectral clustering tasks with a fixed task set, which cannot incorporate with a new spectral…

Machine Learning · Computer Science 2019-12-02 Gan Sun , Yang Cong , Qianqian Wang , Jun Li , Yun Fu

Unsupervised learning has gained prominence in the big data era, offering a means to extract valuable insights from unlabeled datasets. Deep clustering has emerged as an important unsupervised category, aiming to exploit the non-linear…

Machine Learning · Computer Science 2024-02-02 Georgios Vardakas , Ioannis Papakostas , Aristidis Likas

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
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