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Clustering in high-dimensional spaces is nowadays a recurrent problem in many scientific domains but remains a difficult task from both the clustering accuracy and the result understanding points of view. This paper presents a…

Methodology · Statistics 2011-04-20 Charles Bouveyron , Camille Brunet

Cancer is a number of related yet highly heterogeneous diseases. Correct identification of cancer subtypes is critical for clinical decisions. The advance in sequencing technologies has made it possible to study cancer based on abundant…

Applications · Statistics 2018-11-27 Xiaochun Chen , Honggang Wang , Donghui Yan

In this paper we propose a unified framework to simultaneously discover the number of clusters and group the data points into them using subspace clustering. Real data distributed in a high-dimensional space can be disentangled into a union…

Computer Vision and Pattern Recognition · Computer Science 2019-07-24 Jie Liang , Jufeng Yang , Ming-Ming Cheng , Paul L. Rosin , Liang Wang

Creating low dimensional representations of a high dimensional data set is an important component in many machine learning applications. How to cluster data using their low dimensional embedded space is still a challenging problem in…

Machine Learning · Computer Science 2023-03-27 Zahra Moslehi , Abdolreza Mirzaei , Mehran Safayani

When treatments are non-randomly assigned, continuous, and yield heterogeneous effects at the same intensity, causal identification becomes particularly challenging. In such contexts, existing approaches often fail to provide…

Econometrics · Economics 2026-03-05 Augusto Cerqua , Roberta Di Stefano , Raffaele Mattera

Semi-supervised clustering is an very important topic in machine learning and computer vision. The key challenge of this problem is how to learn a metric, such that the instances sharing the same label are more likely close to each other on…

Machine Learning · Computer Science 2015-01-27 Gang Chen

Modern high-dimensional methods often adopt the "bet on sparsity" principle, while in supervised multivariate learning statisticians may face "dense" problems with a large number of nonzero coefficients. This paper proposes a novel…

Machine Learning · Statistics 2022-02-10 Yiyuan She , Jiahui Shen , Chao Zhang

In developing data-driven modeling methodologies, there is an ongoing need to reconcile the strong predictive performance of opaque black-box models with the transparency required for critical applications. This work introduces an…

Machine Learning · Statistics 2026-05-21 Xin Huang , Jia Li , Jun Yu

Mixture models, such as Gaussian mixture models, are widely used in machine learning to represent complex data distributions. A key challenge, especially in high-dimensional settings, is to determine the mixture order and estimate the…

Optimization and Control · Mathematics 2025-09-30 Srećko Đurašinović , Jean-Bernard Lasserre , Victor Magron

Clustering aims to group unlabelled samples based on their similarities. It has become a significant tool for the analysis of high-dimensional data. However, most of the clustering methods merely generate pseudo labels and thus are unable…

Artificial Intelligence · Computer Science 2023-06-21 Tianyi Huang , Shenghui Cheng , Stan Z. Li , Zhengjun Zhang

We present a new technique for visualizing high-dimensional data called cluster MDS (cl-MDS), which addresses a common difficulty of dimensionality reduction methods: preserving both local and global structures of the original sample in a…

Graphics · Computer Science 2024-05-27 Patricia Hernández-León , Miguel A. Caro

Clustering is one of the most widely used procedures in the analysis of microarray data, for example with the goal of discovering cancer subtypes based on observed heterogeneity of genetic marks between different tissues. It is well-known…

Methodology · Statistics 2009-04-21 Heng Lian

There is a keen interest in characterizing variation in the microbiome across cancer patients, given increasing evidence of its important role in determining treatment outcomes. Here our goal is to discover subgroups of patients with…

Applications · Statistics 2022-12-06 Yushu Shi , Liangliang Zhang , Kim-Anh Do , Robert Jenq , Christine Peterson

Machine learning (ML) research has yielded powerful tools for training accurate prediction models despite complex multivariate associations (e.g. interactions and heterogeneity). In fields such as medicine, improved interpretability of ML…

Machine Learning · Computer Science 2021-04-28 Robert Zhang , Rachael Stolzenberg-Solomon , Shannon M. Lynch , Ryan J. Urbanowicz

In model-based clustering using finite mixture models, it is a significant challenge to determine the number of clusters (cluster size). It used to be equal to the number of mixture components (mixture size); however, this may not be valid…

Machine Learning · Computer Science 2020-07-16 Shunki Kyoya , Kenji Yamanishi

The clustering of data into physically meaningful subsets often requires assumptions regarding the number, size, or shape of the subgroups. Here, we present a new method, simultaneous coherent structure coloring (sCSC), which accomplishes…

Machine Learning · Statistics 2019-11-26 Brooke E. Husic , Kristy L. Schlueter-Kuck , John O. Dabiri

A mixture of joint generalized hyperbolic distributions (MJGHD) is introduced for asymmetric clustering for high-dimensional data. The MJGHD approach takes into account the cluster-specific subspace, thereby limiting the number of…

Methodology · Statistics 2018-11-02 Yang Tang , Ryan P. Browne , Paul D. McNicholas

Similarity-driven multi-view linear reconstruction (SiMLR) is an algorithm that exploits inter-modality relationships to transform large scientific datasets into smaller, more well-powered and interpretable low-dimensional spaces. SiMLR…

Machine Learning · Statistics 2021-01-22 Brian B. Avants , Nicholas J. Tustison , James R. Stone

The advent of the big data paradigm has transformed how industries manage and analyze information, ushering in an era of unprecedented data volume, velocity, and variety. Within this landscape, mixed-data clustering has become a critical…

Machine Learning · Computer Science 2025-12-04 Guillaume Guerard , Sonia Djebali

Analysis of three-way data is becoming ever more prevalent in the literature, especially in the area of clustering and classification. Real data, including real three-way data, are often contaminated by potential outlying observations.…