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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…

Variable selection methods with nonlocal priors have been widely studied in linear regression models, and their theoretical and empirical performances have been reported. However, the crucial model selection properties for hierarchical…

Methodology · Statistics 2022-03-15 Xuan Cao , Kyoungjae Lee

Recursive Bayesian inference, in which posterior beliefs are updated in light of accumulating data, is a tool for implementing Bayesian models in applications with streaming and/or very large data sets. As the posterior of one iteration…

Methodology · Statistics 2025-08-05 Henry R. Scharf

Customer churn prediction is a valuable task in many industries. In telecommunications it presents great challenges, given the high dimensionality of the data, and how difficult it is to identify underlying frustration signatures, which may…

Methodology · Statistics 2022-09-07 Rafael A. Moral , Zhi Chen , Shuai Zhang , Sally McClean , Gabriel R. Palma , Brahim Allan , Ian Kegel

When related learning tasks are naturally arranged in a hierarchy, an appealing approach for coping with scarcity of instances is that of transfer learning using a hierarchical Bayes framework. As fully Bayesian computations can be…

Machine Learning · Computer Science 2012-06-18 Gal Elidan , Ben Packer , Geremy Heitz , Daphne Koller

We propose a novel Bayesian approach to the problem of variable selection in multiple linear regression models. In particular, we present a hierarchical setting which allows for direct specification of a-priori beliefs about the number of…

Computation · Statistics 2019-03-14 Konstantin Posch , Maximilian Arbeiter , Jürgen Pilz

Recommendation in the fashion domain has seen a recent surge in research in various areas, for example, shop-the-look, context-aware outfit creation, personalizing outfit creation, etc. The majority of state of the art approaches in the…

Information Retrieval · Computer Science 2022-03-31 Debopriyo Banerjee , Lucky Dhakad , Harsh Maheshwari , Muthusamy Chelliah , Niloy Ganguly , Arnab Bhattacharya

While there have been a lot of recent developments in the context of Bayesian model selection and variable selection for high dimensional linear models, there is not much work in the presence of change point in literature, unlike the…

Methodology · Statistics 2021-02-26 Nilabja Guha , Jyotishka Datta

In many contexts it is useful to predict the number of individuals in some population who will initiate a particular activity during a given period. For example, the number of users who will install a software update, the number of…

Machine Learning · Statistics 2025-04-15 Thomas Richardson , Yu Liu , James McQueen , Doug Hains

This paper proposes a hierarchical Bayesian multitask learning model that is applicable to the general multi-task binary classification learning problem where the model assumes a shared sparsity structure across different tasks. We derive a…

We propose a novel hierarchical Bayesian model for learning with a large (possibly infinite) number of tasks/episodes, which suits well the few-shot meta learning problem. We consider episode-wise random variables to model episode-specific…

Machine Learning · Computer Science 2023-06-19 Minyoung Kim , Timothy Hospedales

Usually one compares the accuracy of two competing classifiers via null hypothesis significance tests (nhst). Yet the nhst tests suffer from important shortcomings, which can be overcome by switching to Bayesian hypothesis testing. We…

Machine Learning · Computer Science 2016-11-23 Giorgio Corani , Alessio Benavoli , Janez Demšar , Francesca Mangili , Marco Zaffalon

A new strategy based on numerical homogenization and Bayesian techniques for solving multiscale inverse problems is introduced. We consider a class of elliptic problems which vary at a microscopic scale, and we aim at recovering the highly…

Numerical Analysis · Mathematics 2018-07-30 Assyr Abdulle , Andrea Di Blasio

Hierarchical models in Bayesian inverse problems are characterized by an assumed prior probability distribution for the unknown state and measurement error precision, and hyper-priors for the prior parameters. Combining these probability…

Computation · Statistics 2019-06-10 Arvind K. Saibaba , Johnathan Bardsley , D. Andrew Brown , Alen Alexanderian

Bayesian models provide recursive inference naturally because they can formally reconcile new data and existing scientific information. However, popular use of Bayesian methods often avoids priors that are based on exact posterior…

Methodology · Statistics 2019-04-29 Mevin B. Hooten , Devin S. Johnson , Brian M. Brost

Interaction within small groups can often be represented as a sequence of events, where each event involves a sender and a recipient. Recent methods for modeling network data in continuous time model the rate at which individuals interact…

Methodology · Statistics 2012-08-01 Christopher DuBois , Carter T. Butts , Daniel McFarland , Padhraic Smyth

We consider the challenges that arise when fitting complex ecological models to 'large' data sets. In particular, we focus on random effect models which are commonly used to describe individual heterogeneity, often present in ecological…

Methodology · Statistics 2022-05-17 Ruth King , Blanca Sarzo , Víctor Elvira

In the past few years, approximate Bayesian Neural Networks (BNNs) have demonstrated the ability to produce statistically consistent posteriors on a wide range of inference problems at unprecedented speed and scale. However, any disconnect…

Cosmology and Nongalactic Astrophysics · Physics 2021-03-24 Sebastian Wagner-Carena , Ji Won Park , Simon Birrer , Philip J. Marshall , Aaron Roodman , Risa H. Wechsler

The ranking problem is to order a collection of units by some unobserved parameter, based on observations from the associated distribution. This problem arises naturally in a number of contexts, such as business, where we may want to rank…

Statistics Theory · Mathematics 2019-09-04 Toby Kenney

The fashion industry is one of the leading domains in the global e-commerce sector, prompting major online retailers to employ recommendation systems for product suggestions and customer convenience. While recommendation systems have been…

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