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In classification problems, especially those that categorize data into a large number of classes, the classes often naturally follow a hierarchical structure. That is, some classes are likely to share similar structures and features. Those…

Machine Learning · Computer Science 2018-07-25 Denali Molitor , Deanna Needell

A wide range of Bayesian models have been proposed for data that is divided hierarchically into groups. These models aim to cluster the data at different levels of grouping, by assigning a mixture component to each datapoint, and a mixture…

Machine Learning · Computer Science 2015-04-21 Adway Mitra

The use of mutual information as a similarity measure in agglomerative hierarchical clustering (AHC) raises an important issue: some correction needs to be applied for the dimensionality of variables. In this work, we formulate the decision…

Machine Learning · Statistics 2016-08-07 Guillaume Marrelec , Arnaud Messé , Pierre Bellec

Hierarchical clustering is a popular unsupervised data analysis method. For many real-world applications, we would like to exploit prior information about the data that imposes constraints on the clustering hierarchy, and is not captured by…

Data Structures and Algorithms · Computer Science 2018-07-17 Vaggos Chatziafratis , Rad Niazadeh , Moses Charikar

We describe a new method for evaluating Bayes factors. The key idea is to introduce a hypermodel in which the competing models are components of a mixture distribution. Inference for the mixing probabilities then yields estimates of the…

Methodology · Statistics 2016-02-16 Philip D. O'Neill , Theodore Kypraios

Ecological and conservation studies monitoring bird communities typically rely on species classification based on bird vocalizations. Historically, this has been based on expert volunteers going into the field and making lists of the bird…

Methodology · Statistics 2026-05-29 Haoxuan Wang , Patrik Lauha , David B. Dunson

Within a supervised classification framework, labeled data are used to learn classifier parameters. Prior to that, it is generally required to perform dimensionality reduction via feature extraction. These preprocessing steps have motivated…

Computer Vision and Pattern Recognition · Computer Science 2017-12-04 Adrien Lagrange , Mathieu Fauvel , Stéphane May , Nicolas Dobigeon

This paper uses Bayesian tree models for statistical benchmarking in data sets with awkward marginals and complicated dependence structures. The method is applied to a very large database on corporate performance over the last four decades.…

Methodology · Statistics 2010-10-26 James G. Scott

Many modern data analysis problems involve inferences from streaming data. However, streaming data is not easily amenable to the standard probabilistic modeling approaches, which assume that we condition on finite data. We develop…

Machine Learning · Statistics 2015-07-23 James McInerney , Rajesh Ranganath , David M. Blei

Probabilistic Graphical Models (PGM) are very useful in the fields of machine learning and data mining. The crucial limitation of those models,however, is the scalability. The Bayesian Network, which is one of the most common PGMs used in…

Bayesian estimation is increasingly popular for performing model based inference to support policymaking. These data are often collected from surveys under informative sampling designs where subject inclusion probabilities are designed to…

Methodology · Statistics 2018-07-13 Luis G. Leon-Novelo , Terrance D. Savitsky

Bayesian learning is built on an assumption that the model space contains a true reflection of the data generating mechanism. This assumption is problematic, particularly in complex data environments. Here we present a Bayesian…

Machine Learning · Statistics 2018-11-05 S. P. Lyddon , S. G. Walker , C. C. Holmes

This article attempts to offer some perspectives on Bayesian inference for finite population quantities when the units in the population are assumed to exhibit complex dependencies. Beginning with an overview of Bayesian hierarchical…

Methodology · Statistics 2025-09-15 Sudipto Banerjee

Geographic Information Systems (GIS) and related technologies have generated substantial interest among statisticians with regard to scalable methodologies for analyzing large spatial datasets. A variety of scalable spatial process models…

Machine Learning · Statistics 2021-09-10 Sudipto Banerjee

Bayesian change-point detection, together with latent variable models, allows to perform segmentation over high-dimensional time-series. We assume that change-points lie on a lower-dimensional manifold where we aim to infer subsets of…

Machine Learning · Statistics 2020-11-04 Lorena Romero-Medrano , Pablo Moreno-Muñoz , Antonio Artés-Rodríguez

Clinical decision-making demands uncertainty quantification that provides both distribution-free coverage guarantees and risk-adaptive precision, requirements that existing methods fail to jointly satisfy. We present a hybrid…

Machine Learning · Computer Science 2026-01-06 Marzieh Amiri Shahbazi , Ali Baheri , Nasibeh Azadeh-Fard

We have developed a sophisticated statistical model for predicting the hitting performance of Major League baseball players. The Bayesian paradigm provides a principled method for balancing past performance with crucial covariates, such as…

Applications · Statistics 2021-07-21 Shane T. Jensen , Blake McShane , Abraham J. Wyner

Quantitative Fitness Analysis (QFA) is a high-throughput experimental and computational methodology for measuring the growth of microbial populations. QFA screens can be used to compare the health of cell populations with and without a…

Quantitative Methods · Quantitative Biology 2016-01-18 Jonathan Heydari , Conor Lawless , David A. Lydall , Darren J. Wilkinson

This paper explores Bayesian estimation for categorical data, focusing on simple yet effective models that provide a foundation for applying more advanced methods accurately and reliably in real-world applications. We begin by revisiting…

Methodology · Statistics 2025-09-03 Jan Kalina

The improvement of mortality projection is a pivotal topic in the diverse branches related to insurance, demography, and public policy. Motivated by the thread of Lee-Carter related models, we propose a Bayesian model to estimate and…

Applications · Statistics 2021-02-24 Zhen Liu , Xiaoqian Sun , Leping Liu , Yu-Bo Wang