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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

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

Conformal prediction (CP) is widely presented as distribution-free predictive inference with finite-sample marginal coverage under exchangeability. We argue that CP is best understood as a rank-calibrated descendant of the…

统计理论 · 数学 2025-12-30 Jyotishka Datta , Nicholas G. Polson , Vadim Sokolov , Daniel Zantedeschi

The domain of explainable AI is of interest in all Machine Learning fields, and it is all the more important in clustering, an unsupervised task whose result must be validated by a domain expert. We aim at finding a clustering that has high…

人工智能 · 计算机科学 2024-03-28 Mathieu Guilbert , Christel Vrain , Thi-Bich-Hanh Dao

Bayesian clustering accounts for uncertainty but is computationally demanding at scale. Furthermore, real-world datasets often contain missing values, and simple imputation ignores the associated uncertainty, resulting in suboptimal…

机器学习 · 计算机科学 2026-03-18 Prajit Bhaskaran , Tom Viering

The marginal Bayesian predictive classifiers (mBpc) as opposed to the simultaneous Bayesian predictive classifiers (sBpc), handle each data separately and hence tacitly assumes the independence of the observations. However, due to…

机器学习 · 统计学 2021-12-06 Ali Amiryousefi , Ville Kinnula , Jing Tang

A common divide-and-conquer approach for Bayesian computation with big data is to partition the data, perform local inference for each piece separately, and combine the results to obtain a global posterior approximation. While being…

In many modern applications, there is interest in analyzing enormous data sets that cannot be easily moved across computers or loaded into memory on a single computer. In such settings, it is very common to be interested in clustering.…

统计计算 · 统计学 2020-05-15 Hanyu Song , Yingjian Wang , David B. Dunson

Clustering attempts to partition data instances into several distinctive groups, while the similarities among data belonging to the common partition can be principally reserved. Furthermore, incomplete data frequently occurs in many…

机器学习 · 计算机科学 2022-08-30 Miao Cheng , Xinge You

Variation in the evolutionary process across the sites of nucleotide sequence alignments is well established, and is an increasingly pervasive feature of datasets composed of gene regions sampled from multiple loci and/or different genomes.…

种群与进化 · 定量生物学 2014-09-04 Brian R. Moore , Jim McGuire , Fredrik Ronquist , John P. Huelsenbeck

Change-point models deal with ordered data sequences. Their primary goal is to infer the locations where an aspect of the data sequence changes. In this paper, we propose and implement a nonparametric Bayesian model for clustering…

统计方法学 · 统计学 2025-02-12 Ana Carolina da Cruz , Camila P. E. de Souza

Traditional Bayesian random partition models assume that the size of each cluster grows linearly with the number of data points. While this is appealing for some applications, this assumption is not appropriate for other tasks such as…

统计方法学 · 统计学 2020-04-07 Brenda Betancourt , Giacomo Zanella , Rebecca C. Steorts

Consensus clustering fuses diverse basic partitions (i.e., clustering results obtained from conventional clustering methods) into an integrated one, which has attracted increasing attention in both academic and industrial areas due to its…

机器学习 · 计算机科学 2019-06-04 Hongfu Liu , Zhiqiang Tao , Zhengming Ding

Initialisation of the EM algorithm in model-based clustering is often crucial. Various starting points in the parameter space often lead to different local maxima of the likelihood function and, so to different clustering partitions. Among…

统计方法学 · 统计学 2015-07-28 Luca Scrucca , Adrian E. Raftery

Mixture models are commonly used in applications with heterogeneity and overdispersion in the population, as they allow the identification of subpopulations. In the Bayesian framework, this entails the specification of suitable prior…

统计方法学 · 统计学 2023-06-21 Andrea Cremaschi , Timothy M. Wertz , Maria De Iorio

Loss-based clustering methods, such as k-means and its variants, are standard tools for finding groups in data. However, the lack of quantification of uncertainty in the estimated clusters is a disadvantage. Model-based clustering based on…

统计方法学 · 统计学 2020-06-11 Tommaso Rigon , Amy H. Herring , David B. Dunson

To identify novel dynamic patterns of gene expression, we develop a statistical method to cluster noisy measurements of gene expression collected from multiple replicates at multiple time points, with an unknown number of clusters. We…

应用统计 · 统计学 2013-12-02 Audrey Qiuyan Fu , Steven Russell , Sarah J. Bray , Simon Tavaré

In many scientific domains, clustering aims to reveal interpretable latent structure that reflects relevant subpopulations or processes. Widely used Bayesian mixture models for model-based clustering often produce overlapping or redundant…

统计方法学 · 统计学 2025-10-13 Ziyi Song , Federico Camerlenghi , Weining Shen , Michele Guindani , Mario Beraha

This paper presents a novel clustering concept that is based on jointly learned nonlinear transforms (NTs) with priors on the information loss and the discrimination. We introduce a clustering principle that is based on evaluation of a…

机器学习 · 计算机科学 2019-01-31 Dimche Kostadinov , Behrooz Razeghi , Taras Holotyak , Slava Voloshynovskiy

To cluster data is to separate samples into distinctive groups that should ideally have some cohesive properties. Today, numerous clustering algorithms exist, and their differences lie essentially in what can be perceived as ``cohesive…

机器学习 · 统计学 2025-05-08 Louis Ohl , Pierre-Alexandre Mattei , Frédéric Precioso