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In high-dimension, low-sample size (HDLSS) data, it is not always true that closeness of two objects reflects a hidden cluster structure. We point out the important fact that it is not the closeness, but the "values" of distance that…

Machine Learning · Statistics 2013-12-30 Yoshikazu Terada

We address the problem of un-supervised soft-clustering called micro-clustering. The aim of the problem is to enumerate all groups composed of records strongly related to each other, while standard clustering methods separate records at…

Data Structures and Algorithms · Computer Science 2016-06-07 Takeaki Uno , Hiroki Maegawa , Takanobu Nakahara , Yukinobu Hamuro , Ryo Yoshinaka , Makoto Tatsuta

Transcript enumeration methods such as SAGE, MPSS, and sequencing-by-synthesis EST ``digital northern'', are important high-throughput techniques for digital gene expression measurement. As other counting or voting processes, these…

Quantitative Methods · Quantitative Biology 2013-10-29 Ricardo ZN Vêncio , Leonardo Varuzza , Carlos AB Pereira , Helena Brentani , Ilya Shmulevich

Feature selection is an important problem in high-dimensional data analysis and classification. Conventional feature selection approaches focus on detecting the features based on a redundancy criterion using learning and feature searching…

Computer Vision and Pattern Recognition · Computer Science 2012-01-31 Alex Pappachen James , Sima Dimitrijev

In this paper we consider the problem of clustering collections of very short texts using subspace clustering. This problem arises in many applications such as product categorisation, fraud detection, and sentiment analysis. The main…

Machine Learning · Statistics 2019-01-29 Hankui Peng , Nicos Pavlidis , Idris Eckley , Ioannis Tsalamanis

Developing an understanding of high-dimensional data can be facilitated by visualizing that data using dimensionality reduction. However, the low-dimensional embeddings are often difficult to interpret. To facilitate the exploration and…

Machine Learning · Computer Science 2025-04-16 Fuyin Lai , Edith Heiter , Guillaume Bied , Jefrey Lijffijt

Due to the complexity of cancer, clustering algorithms have been used to disentangle the observed heterogeneity and identify cancer subtypes that can be treated specifically. While kernel based clustering approaches allow the use of more…

Machine Learning · Statistics 2018-11-21 Nora K. Speicher , Nico Pfeifer

We present a structural clustering algorithm for large-scale datasets of small labeled graphs, utilizing a frequent subgraph sampling strategy. A set of representatives provides an intuitive description of each cluster, supports the…

Databases · Computer Science 2016-10-03 Till Schäfer , Petra Mutzel

Spectral dimensionality reduction methods enable linear separations of complex data with high-dimensional features in a reduced space. However, these methods do not always give the desired results due to irregularities or uncertainties of…

Machine Learning · Statistics 2018-05-21 Momo Matsuda , Keiichi Morikuni , Tetsuya Sakurai

Finding meaningful groups, i.e., clusters, in high-dimensional data such as images or texts without labeled data at hand is an important challenge in data mining. In recent years, deep clustering methods have achieved remarkable results in…

Machine Learning · Computer Science 2024-10-15 Collin Leiber , Niklas Strauß , Matthias Schubert , Thomas Seidl

We present a novel deep neural network architecture for unsupervised subspace clustering. This architecture is built upon deep auto-encoders, which non-linearly map the input data into a latent space. Our key idea is to introduce a novel…

Computer Vision and Pattern Recognition · Computer Science 2017-09-11 Pan Ji , Tong Zhang , Hongdong Li , Mathieu Salzmann , Ian Reid

Model-based clustering integrated with variable selection is a powerful tool for uncovering latent structures within complex data. However, its effectiveness is often hindered by challenges such as identifying relevant variables that define…

Estimating the number of clusters (K) is a critical and often difficult task in cluster analysis. Many methods have been proposed to estimate K, including some top performers using resampling approach. When performing cluster analysis in…

Methodology · Statistics 2019-09-05 Yujia Li , Xiangrui Zeng , Chien-Wei Lin , George Tseng

Big Data processing systems handle huge unstructured and structured data to store, process, and analyze through cluster analysis which helps in identifying unseen patterns to find the relationships between them. Clustering analysis over the…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-11-11 Dipesh Gyawali

Subspace clustering is the problem of clustering data that lie close to a union of linear subspaces. In the abstract form of the problem, where no noise or other corruptions are present, the data are assumed to lie in general position…

Computer Vision and Pattern Recognition · Computer Science 2020-02-13 Manolis C. Tsakiris , Rene Vidal

We introduce a dimension reduction method for visualizing the clustering structure obtained from a finite mixture of Gaussian densities. Information on the dimension reduction subspace is obtained from the variation on group means and,…

Methodology · Statistics 2015-08-10 Luca Scrucca

Model-based clustering of moderate or large dimensional data is notoriously difficult. We propose a model for simultaneous dimensionality reduction and clustering by assuming a mixture model for a set of latent scores, which are then linked…

Methodology · Statistics 2024-06-04 Lorenzo Ghilotti , Mario Beraha , Alessandra Guglielmi

Matrix valued data has become increasingly prevalent in many applications. Most of the existing clustering methods for this type of data are tailored to the mean model and do not account for the dependence structure of the features, which…

Machine Learning · Statistics 2023-12-07 Inbeom Lee , Siyi Deng , Yang Ning

The problem of organizing data that evolves over time into clusters is encountered in a number of practical settings. We introduce evolutionary subspace clustering, a method whose objective is to cluster a collection of evolving data points…

Computer Vision and Pattern Recognition · Computer Science 2019-01-30 Abolfazl Hashemi , Haris Vikalo

In this paper, a statistical model for panel data with unobservable grouped factor structures which are correlated with the regressors and the group membership can be unknown. The factor loadings are assumed to be in different subspaces and…

Econometrics · Economics 2021-02-26 Jiangtao Duan , Wei Gao , Hao Qu , Hon Keung Tony