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We present a new sampling-based approach for enabling efficient computation of low-rank Bayesian matrix completion and quantifying the associated uncertainty. Firstly, we design a new prior model based on the singular-value-decomposition…

机器学习 · 统计学 2024-10-29 Tiangang Cui , Alex Gorodetsky

A model-based approach is developed for clustering categorical data with no natural ordering. The proposed method exploits the Hamming distance to define a family of probability mass functions to model the data. The elements of this family…

统计方法学 · 统计学 2024-07-02 Raffaele Argiento , Edoardo Filippi-Mazzola , Lucia Paci

Quantum Clustering is a powerful method to detect clusters in data with mixed density. However, it is very sensitive to a length parameter that is inherent to the Schr\"odinger equation. In addition, linking data points into clusters…

We propose a new unsupervised learning method for clustering a large number of time series based on a latent factor structure. Each cluster is characterized by its own cluster-specific factors in addition to some common factors which impact…

统计理论 · 数学 2022-09-09 Bo Zhang , Guangming Pan , Qiwei Yao , Wang Zhou

The paper presents a novel approach for unsupervised techniques in the field of clustering. A new method is proposed to enhance existing literature models using the proper Bayesian bootstrap to improve results in terms of robustness and…

机器学习 · 统计学 2024-09-16 Federico Maria Quetti , Silvia Figini , Elena ballante

High dimensional data often contain multiple facets, and several clustering patterns can co-exist under different variable subspaces, also known as the views. While multi-view clustering algorithms were proposed, the uncertainty…

机器学习 · 统计学 2019-10-09 Leo L Duan

Bayesian clustering methods have the widely touted advantage of providing a probabilistic characterization of uncertainty in clustering through the posterior distribution. An amazing variety of priors and likelihoods have been proposed for…

统计方法学 · 统计学 2025-11-21 Garritt L. Page , Andrés F. Barrientos , David B. Dahl , David B. Dunson

This paper explores the problem of clustering ensemble, which aims to combine multiple base clusterings to produce better performance than that of the individual one. The existing clustering ensemble methods generally construct a…

机器学习 · 计算机科学 2020-12-17 Yuheng Jia , Hui Liu , Junhui Hou , Qingfu Zhang

Classically, Bayesian clustering interprets each component of a mixture model as a cluster. The inferred clustering posterior is highly sensitive to any inaccuracies in the kernel within each component. As this kernel is made more flexible,…

统计方法学 · 统计学 2025-12-12 David Buch , Miheer Dewaskar , David B. Dunson

Recent advances on overfitting Bayesian mixture models provide a solid and straightforward approach for inferring the underlying number of clusters and model parameters in heterogeneous datasets. The applicability of such a framework in…

统计方法学 · 统计学 2018-03-29 Panagiotis Papastamoulis

We consider the problem of inferring an unknown number of clusters in replicated multinomial data. Under a model based clustering point of view, this task can be treated by estimating finite mixtures of multinomial distributions with or…

统计方法学 · 统计学 2023-07-07 Panagiotis Papastamoulis

The task of clustering a set of objects based on multiple sources of data arises in several modern applications. We propose an integrative statistical model that permits a separate clustering of the objects for each data source. These…

机器学习 · 统计学 2015-12-01 Eric F. Lock , David B. Dunson

This report explores the application of machine learning techniques on short timeseries gene expression data. Although standard machine learning algorithms work well on longer time-series', they often fail to find meaningful insights from…

基因组学 · 定量生物学 2021-11-17 Akankshita Dash

Genes are often regulated in living cells by proteins called transcription factors (TFs) that bind directly to short segments of DNA in close proximity to specific genes. These binding sites have a conserved nucleotide appearance, which is…

统计理论 · 数学 2007-06-13 Shane T. Jensen , Jun S. Liu

Research on cluster analysis for categorical data continues to develop, with new clustering algorithms being proposed. However, in this context, the determination of the number of clusters is rarely addressed. In this paper, we propose a…

统计方法学 · 统计学 2014-09-29 Cláudia Silvestre , Margarida G. M. S. Cardoso , Mário A. T. Figueiredo

Algorithms for node clustering typically focus on finding homophilous structure in graphs. That is, they find sets of similar nodes with many edges within, rather than across, the clusters. However, graphs often also exhibit heterophilous…

机器学习 · 计算机科学 2023-08-15 Sudhanshu Chanpuriya , Cameron Musco

The interest in variable selection for clustering has increased recently due to the growing need in clustering high-dimensional data. Variable selection allows in particular to ease both the clustering and the interpretation of the results.…

统计方法学 · 统计学 2012-04-11 Charles Bouveyron , Camille Brunet

Convex clustering has recently garnered increasing interest due to its attractive theoretical and computational properties, but its merits become limited in the face of high-dimensional data. In such settings, pairwise affinity terms that…

统计方法学 · 统计学 2021-04-02 Saptarshi Chakraborty , Jason Xu

Clustering is a hard discrete optimization problem. Nonconvex approaches such as low-rank semidefinite programming (SDP) have recently demonstrated promising statistical and local algorithmic guarantees for cluster recovery. Due to the…

机器学习 · 计算机科学 2026-03-05 Peng Xu , Chun-Ying Hou , Xiaohui Chen , Richard Y. Zhang

Until recently obtaining data on populations of networks was typically rare. However, with the advancement of automatic monitoring devices and the growing social and scientific interest in networks, such data has become more widely…

统计方法学 · 统计学 2020-01-22 Mirko Signorelli , Ernst Wit