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We present a Bayesian nonparametric framework for multilevel clustering which utilizes group-level context information to simultaneously discover low-dimensional structures of the group contents and partitions groups into clusters. Using…

Machine Learning · Computer Science 2014-01-30 Vu Nguyen , Dinh Phung , XuanLong Nguyen , Svetha Venkatesh , Hung Hai Bui

Clusters of genes that have evolved by repeated segmental duplication present difficult challenges throughout genomic analysis, from sequence assembly to functional analysis. Improved understanding of these clusters is of utmost importance,…

Machine Learning · Computer Science 2010-01-25 Tomáš Vinař , Broňa Brejová , Giltae Song , Adam Siepel

Modeling multiple sampling densities within a hierarchical framework enables borrowing of information across samples. These density random effects can act as kernels in latent variable models to represent exchangeable subgroups or clusters.…

Methodology · Statistics 2026-05-19 Yuliang Xu , Kaixuan Luo , Li Ma

We present a simple spectral approach to the well-studied constrained clustering problem. It captures constrained clustering as a generalized eigenvalue problem with graph Laplacians. The algorithm works in nearly-linear time and provides…

Social and Information Networks · Computer Science 2016-01-20 Mihai Cucuringu , Ioannis Koutis , Sanjay Chawla , Gary Miller , Richard Peng

Quantitative medical image computing (radiomics) has been widely applied to build prediction models from medical images. However, overfitting is a significant issue in conventional radiomics, where a large number of radiomic features are…

Image and Video Processing · Electrical Eng. & Systems 2020-01-07 Jianan Chen , Laurent Milot , Helen M. C. Cheung , Anne L. Martel

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

This paper presents a novel non-rigid point set registration method that is inspired by unsupervised clustering analysis. Unlike previous approaches that treat the source and target point sets as separate entities, we develop a holistic…

Computer Vision and Pattern Recognition · Computer Science 2024-06-28 Mingyang Zhao , Jingen Jiang , Lei Ma , Shiqing Xin , Gaofeng Meng , Dong-Ming Yan

This study presents a novel approach utilizing cluster means to address the non-differentiability issue arising from multiple eigenvalues in eigenfrequency and bandgap optimization. By constructing symmetric functions of repeated…

Computational Engineering, Finance, and Science · Computer Science 2025-01-28 Shiyao Sun , Kapil Khandelwal

Important tasks in the study of genomic data include the identification of groups of similar cells (for example by clustering), and visualisation of data summaries (for example by dimensional reduction). In this paper, we develop a novel…

Methodology · Statistics 2024-10-15 Thomas E. Bartlett , Swati Chandna , Sandipan Roy

In many real life problems, objects are described by large number of binary features. For instance, documents are characterized by presence or absence of certain keywords; cancer patients are characterized by presence or absence of certain…

Applications · Statistics 2016-03-09 Tapesh Santra

Model-based clustering is widely used for identifying and distinguishing types of diseases. However, modern biomedical data coming with high dimensions make it challenging to perform the model estimation in traditional cluster analysis. The…

Methodology · Statistics 2025-07-22 Kazeem Kareem , Fan Dai

In this work, we address the problem of large-scale online face clustering: given a continuous stream of unknown faces, create a database grouping the incoming faces by their identity. The database must be updated every time a new face…

Computer Vision and Pattern Recognition · Computer Science 2022-07-21 David Montero , Naiara Aginako , Basilio Sierra , Marcos Nieto

Gaussian mixture block models are distributions over graphs that strive to model modern networks: to generate a graph from such a model, we associate each vertex $i$ with a latent feature vector $u_i \in \mathbb{R}^d$ sampled from a mixture…

Machine Learning · Statistics 2024-04-12 Shuangping Li , Tselil Schramm

We propose an algorithm for clustering high dimensional data. If $P$ features for $N$ objects are represented in an $N\times P$ matrix ${\bf X}$, where $N\ll P$, the method is based on exploiting the cluster-dependent structure of the…

Machine Learning · Statistics 2018-11-05 Shahina Rahman , Valen E. Johnson

In this article, we propose the use of partitioning and clustering methods as an alternative to Gaussian quadrature for stochastic collocation. The key idea is to use cluster centers as the nodes for collocation. In this way, we can extend…

Numerical Analysis · Mathematics 2019-04-16 A. W. Eggels , D. T. Crommelin , J. A. S. Witteveen

Motivation: De novo transcriptome assembly of non-model organisms is the first major step for many RNA-seq analysis tasks. Current methods for de novo assembly often report a large number of contiguous sequences (contigs), which may be…

Genomics · Quantitative Biology 2016-04-13 Avi Srivastava , Hirak Sarkar , Laraib Malik , Rob Patro

Advancements in tools like Shapely 2.0 and Triton can significantly improve the efficiency of spatial similarity computations by enabling faster and more scalable geometric operations. However, for extremely large datasets, these…

Machine Learning · Computer Science 2025-09-30 John N. Daras

Spectral clustering has become a popular technique due to its high performance in many contexts. It comprises three main steps: create a similarity graph between N objects to cluster, compute the first k eigenvectors of its Laplacian matrix…

Data Structures and Algorithms · Computer Science 2016-05-24 Nicolas Tremblay , Gilles Puy , Remi Gribonval , Pierre Vandergheynst

We propose a hierarchical graph neural network (GNN) model that learns how to cluster a set of images into an unknown number of identities using a training set of images annotated with labels belonging to a disjoint set of identities. Our…

Computer Vision and Pattern Recognition · Computer Science 2021-07-20 Yifan Xing , Tong He , Tianjun Xiao , Yongxin Wang , Yuanjun Xiong , Wei Xia , David Wipf , Zheng Zhang , Stefano Soatto

Network models provide a powerful framework for analysing single-cell count data, facilitating the characterisation of cellular identities, disease mechanisms, and developmental trajectories. However, uncertainty modeling in unsupervised…

Genomics · Quantitative Biology 2026-04-27 Shanshan Ren , Thomas E. Bartlett , Lina Gerontogianni , Swati Chandna
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