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Spectral Clustering (SC) is one of the most widely used methods for data clustering. It first finds a low-dimensonal embedding $U$ of data by computing the eigenvectors of the normalized Laplacian matrix, and then performs k-means on…

Computer Vision and Pattern Recognition · Computer Science 2018-05-29 Canyi Lu , Shuicheng Yan , Zhouchen Lin

One of the fundamental problems in network analysis is detecting community structure in multi-layer networks, of which each layer represents one type of edge information among the nodes. We propose integrative spectral clustering approaches…

Machine Learning · Statistics 2022-10-07 Sihan Huang , Haolei Weng , Yang Feng

Clustering performs an essential role in many real world applications, such as market research, pattern recognition, data analysis, and image processing. However, due to the high dimensionality of the input feature values, the data being…

Machine Learning · Computer Science 2021-02-16 Si Lu , Ruisi Li

High-dimensional data clustering has become and remains a challenging task for modern statistics and machine learning, with a wide range of applications. We consider in this work the powerful discriminative latent mixture model, and we…

Methodology · Statistics 2020-12-09 Nicolas Jouvin , Charles Bouveyron , Pierre Latouche

Constrained clustering has gained significant attention in the field of machine learning as it can leverage prior information on a growing amount of only partially labeled data. Following recent advances in deep generative models, we…

Machine Learning · Computer Science 2022-02-02 Laura Manduchi , Kieran Chin-Cheong , Holger Michel , Sven Wellmann , Julia E. Vogt

Determining phenotypes of diseases can have considerable benefits for in-hospital patient care and to drug development. The structure of high dimensional data sets such as electronic health records are often represented through an embedding…

Identifying relationships between molecular variations and their clinical presentations has been challenged by the heterogeneous causes of a disease. It is imperative to unveil the relationship between the high dimensional molecular…

Methodology · Statistics 2021-09-02 Wennan Chang , Changlin Wan , Yong Zang , Chi Zhang , Sha Cao

Spectral clustering approaches have led to well-accepted algorithms for finding accurate clusters in a given dataset. However, their application to large-scale datasets has been hindered by computational complexity of eigenvalue…

Machine Learning · Computer Science 2016-03-17 Shahzad Bhatti , Carolyn Beck , Angelia Nedic

Deep clustering (DC) has become the state-of-the-art for unsupervised clustering. In principle, DC represents a variety of unsupervised methods that jointly learn the underlying clusters and the latent representation directly from…

Machine Learning · Computer Science 2020-05-22 Lele Cao , Sahar Asadi , Wenfei Zhu , Christian Schmidli , Michael Sjöberg

Dimension reduction is widely regarded as an effective way for decreasing the computation, storage and communication loads of data-driven intelligent systems, leading to a growing demand for statistical methods that allow analysis (e.g.,…

Computer Vision and Pattern Recognition · Computer Science 2019-08-23 Guangcan Liu , Zhao Zhang , Qingshan Liu , Kongkai Xiong

We propose Deep Closed-Form Subspace Clustering (DCFSC), a new embarrassingly simple model for subspace clustering with learning non-linear mapping. Compared with the previous deep subspace clustering (DSC) techniques, our DCFSC does not…

Computer Vision and Pattern Recognition · Computer Science 2019-08-27 Junghoon Seo , Jamyoung Koo , Taegyun Jeon

Recent developed deep unsupervised methods allow us to jointly learn representation and cluster unlabelled data. These deep clustering methods mainly focus on the correlation among samples, e.g., selecting high precision pairs to gradually…

Computer Vision and Pattern Recognition · Computer Science 2019-08-13 Jianlong Wu , Keyu Long , Fei Wang , Chen Qian , Cheng Li , Zhouchen Lin , Hongbin Zha

Trajectory clustering enables the discovery of common patterns in trajectory data. Current methods of trajectory clustering rely on a distance measure between two points in order to measure the dissimilarity between two trajectories. The…

Artificial Intelligence · Computer Science 2023-10-31 Zi Jing Wang , Ye Zhu , Kai Ming Ting

Clustering multi-view data has been a fundamental research topic in the computer vision community. It has been shown that a better accuracy can be achieved by integrating information of all the views than just using one view individually.…

Computer Vision and Pattern Recognition · Computer Science 2019-07-24 Ming Yin , Weitian Huang , Junbin Gao

Recent works on Hierarchical Clustering (HC), a well-studied problem in exploratory data analysis, have focused on optimizing various objective functions for this problem under arbitrary similarity measures. In this paper we take the first…

Data Structures and Algorithms · Computer Science 2018-12-31 Moses Charikar , Vaggos Chatziafratis , Rad Niazadeh , Grigory Yaroslavtsev

Nowadays, data are generated massively and rapidly from scientific fields as bioinformatics, neuroscience and astronomy to business and engineering fields. Cluster analysis, as one of the major data analysis tools, is therefore more…

Machine Learning · Computer Science 2015-01-07 Teng Qiu , Yongjie Li

Analyzing high dimensional data is a challenging task. For these data it is known that traditional clustering algorithms fail to detect meaningful patterns. As a solution, subspace clustering techniques have been introduced. They analyze…

Databases · Computer Science 2014-07-16 Stephan Günnemann , Hardy Kremer , Matthias Hannen , Thomas Seidl

A new submodule clustering method via sparse and low-rank representation for multi-way data is proposed in this paper. Instead of reshaping multi-way data into vectors, this method maintains their natural orders to preserve data intrinsic…

Computer Vision and Pattern Recognition · Computer Science 2016-09-29 Xinglin Piao , Yongli Hu , Junbin Gao , Yanfeng Sun , Zhouchen Lin , Baocai Yin

Gaussian Mixture models (GMMs) are a powerful tool for clustering, classification and density estimation when clustering structures are embedded in the data. The presence of missing values can largely impact the GMMs estimation process,…

Machine Learning · Statistics 2020-06-05 Alessio Serafini , Thomas Brendan Murphy , Luca Scrucca

A novel elastic time distance for sparse multivariate functional data is proposed and used to develop a robust distance-based two-layer partition clustering method. With this proposed distance, the new approach not only can detect correct…

Methodology · Statistics 2023-03-21 Zhuo Qu , Wenlin Dai , Marc G. Genton
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