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Clustering samples according to an effective metric and/or vector space representation is a challenging unsupervised learning task with a wide spectrum of applications. Among several clustering algorithms, k-means and its kernelized version…

分布式、并行与集群计算 · 计算机科学 2017-10-10 Marco Jacopo Ferrarotti , Sergio Decherchi , Walter Rocchia

In this work, we consider the problem of mode clustering in Markov jump models. This model class consists of multiple dynamical modes with a switching sequence that determines how the system switches between them over time. Under different…

系统与控制 · 电气工程与系统科学 2019-10-08 Zhe Du , Necmiye Ozay , Laura Balzano

Markov chain Monte Carlo (MCMC) has transformed Bayesian model inference over the past three decades: mainly because of this, Bayesian inference is now a workhorse of applied scientists. Under general conditions, MCMC sampling converges…

统计方法学 · 统计学 2020-11-20 Ben Lambert , Aki Vehtari

It is often of interest to perform clustering on longitudinal data, yet it is difficult to formulate an intuitive model for which estimation is computationally feasible. We propose a model-based clustering method for clustering objects that…

统计方法学 · 统计学 2020-05-19 Daniel K. Sewell , Yuguo Chen , William Bernhard , Tracy Sulkin

We propose a Model-Based Clustering (MBC) method combined with loci selection using multi-allelic loci genetic data. The loci selection problem is regarded as a model selection problem and models in competition are compared with the…

应用统计 · 统计学 2008-12-31 Wilson Toussile , Elisabeth Gassiat

In microbiome studies, it is often of great interest to identify clusters or partitions of microbiome profiles within a study population and to characterize the distinctive attributes of each resulting microbial community. While raw counts…

统计方法学 · 统计学 2025-08-18 Zhongmao Liu , Xiaohui Yin , Yanjiao Zhou , Gen Li , Kun Chen

The Markov Chain Monte Carlo (MCMC) algorithm is a widely recognised as an efficient method for sampling a specified posterior distribution. However, when the posterior is multi-modal, conventional MCMC algorithms either tend to become…

天体物理仪器与方法 · 物理学 2014-08-19 Yi-Ming Hu , Martin Hendry , Ik Siong Heng

Bayesian analysis often concerns an evaluation of models with different dimensionality as is necessary in, for example, model selection or mixture models. To facilitate this evaluation, transdimensional Markov chain Monte Carlo (MCMC)…

统计方法学 · 统计学 2018-08-13 Daniel W. Heck , Antony M. Overstall , Quentin F. Gronau , Eric-Jan Wagenmakers

Finite Gaussian mixture models are widely used for model-based clustering of continuous data. Nevertheless, since the number of model parameters scales quadratically with the number of variables, these models can be easily…

统计方法学 · 统计学 2018-09-25 Michael Fop , Thomas Brendan Murphy , Luca Scrucca

Technological advances facilitate the ability to acquire multimodal data, posing a challenge for recognition systems while also providing an opportunity to use the heterogeneous nature of the information to increase the generalization…

机器学习 · 计算机科学 2024-08-06 Paweł Zyblewski , Leandro L. Minku

Existing multimodal methods typically assume that different modalities share the same category set. However, in real-world applications, the category distributions in multimodal data exhibit inconsistencies, which can hinder the model's…

计算机视觉与模式识别 · 计算机科学 2025-06-12 Yangrui Zhu , Junhua Bao , Yipan Wei , Yapeng Li , Bo Du

The posterior probability distribution for a set of model parameters encodes all that the data have to tell us in the context of a given model; it is the fundamental quantity for Bayesian parameter estimation. In order to infer the…

天体物理仪器与方法 · 物理学 2015-06-16 Rupert Allison , Joanna Dunkley

With the advent of ubiquitous monitoring and measurement protocols, studies have started to focus more and more on complex, multivariate and heterogeneous datasets. In such studies, multivariate response variables are drawn from a…

统计方法学 · 统计学 2023-03-03 Saverio Ranciati , Veronica Vinciotti , Ernst C. Wit , Giuliano Galimberti

Recent advances in stochastic gradient techniques have made it possible to estimate posterior distributions from large datasets via Markov Chain Monte Carlo (MCMC). However, when the target posterior is multimodal, mixing performance is…

机器学习 · 统计学 2018-01-12 Yizhe Zhang , Changyou Chen , Zhe Gan , Ricardo Henao , Lawrence Carin

Motivated by the problem of accurately predicting gap times between successive blood donations, we present here a general class of Bayesian nonparametric models for clustering. These models allow for prediction of new recurrences,…

统计方法学 · 统计学 2022-10-18 Raffaele Argiento , Riccardo Corradin , Alessandra Guglielmi , Ettore Lanzarone

We develop a computational framework to quantify uncertainty in shear elastography imaging of anomalies in tissues. We adopt a Bayesian inference formulation. Given the observed data, a forward model and their uncertainties, we find the…

数值分析 · 数学 2023-06-07 Ana Carpio , Elena Cebrian , Andrea Gutierrez

Covariance matrices provide a valuable source of information about complex interactions and dependencies within the data. However, from a clustering perspective, this information has often been underutilized and overlooked. Indeed, commonly…

统计方法学 · 统计学 2024-09-02 Andrea Cappozzo , Alessandro Casa

Cluster analysis of biological samples using gene expression measurements is a common task which aids the discovery of heterogeneous biological sub-populations having distinct mRNA profiles. Several model-based clustering algorithms have…

统计方法学 · 统计学 2012-01-30 Alberto Cozzini , Ajay Jasra , Giovanni Montana

Unsupervised anomaly segmentation aims to detect patterns that are distinct from any patterns processed during training, commonly called abnormal or out-of-distribution patterns, without providing any associated manual segmentations. Since…

图像与视频处理 · 电气工程与系统科学 2023-11-06 Ziyun Liang , Harry Anthony , Felix Wagner , Konstantinos Kamnitsas

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