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Networks are a commonly used mathematical model to describe the rich set of interactions between objects of interest. Many clustering methods have been developed in order to partition such structures, among which several rely on underlying…

Methodology · Statistics 2014-05-13 P. Latouche , E. Birmelé , C. Ambroise

In each of the last five years, a few dozen empirical studies appeared in visualization journals and conferences. The existing empirical studies have already featured a large number of variables. There are many more variables yet to be…

Human-Computer Interaction · Computer Science 2020-09-29 Min Chen , Alfie Abdul-Rahman , David H. Laidlaw

Considering the flexibility and applicability of Bayesian modeling, in this work we revise the main characteristics of two hierarchical models in a regression setting. We study the full probabilistic structure of the models along with the…

Methodology · Statistics 2021-10-22 Juan Sosa , Jeimy Aristizabal

This note is concerned with an accurate and computationally efficient variational bayesian treatment of mixed-effects modelling. We focus on group studies, i.e. empirical studies that report multiple measurements acquired in multiple…

Machine Learning · Statistics 2019-03-22 Jean Daunizeau

Evaluating the performance of heuristic optimisation algorithms is essential to determine how well they perform under various conditions. Recently, the BIAS toolbox was introduced as a behaviour benchmark to detect structural bias (SB) in…

Neural and Evolutionary Computing · Computer Science 2023-04-05 Bas van Stein , Diederick Vermetten , Fabio Caraffini , Anna V. Kononova

We introduce a novel procedure for obtaining cross-validated predictive estimates for Bayesian hierarchical regression models (BHRMs). Bayesian hierarchical models are popular for their ability to model complex dependence structures and…

Machine Learning · Statistics 2024-10-01 Amy X. Zhang , Le Bao , Changcheng Li , Michael J. Daniels

The availability heuristic is a strategy that people use to make quick decisions but often lead to systematic errors. We propose three ways that visualization could facilitate unbiased decision-making. First, visualizations can alter the…

Human-Computer Interaction · Computer Science 2016-10-11 Evanthia Dimara , Pierre Dragicevic , Anastasia Bezerianos

The features in many prediction models naturally take the form of a hierarchy. The lower levels represent individuals or events. These units group naturally into locations and intervals or other aggregates, often at multiple levels. Levels…

Applications · Statistics 2023-07-03 John Mark Agosta , Mario Inchiosa

Spatial connectivity is an important consideration when modelling infectious disease data across a geographical region. Connectivity can arise for many reasons, including shared characteristics between regions, and human or vector movement.…

Methodology · Statistics 2022-06-06 Sophie A Lee , Theodoros Economou , Rachel Lowe

This paper analyzes hierarchical Bayesian inverse problems using techniques from high-dimensional statistics. Our analysis leverages a property of hierarchical Bayesian regularizers that we call approximate decomposability to obtain…

Statistics Theory · Mathematics 2024-01-09 Daniel Sanz-Alonso , Nathan Waniorek

Although we have seen a proliferation of algorithms for recommending visualizations, these algorithms are rarely compared with one another, making it difficult to ascertain which algorithm is best for a given visual analysis scenario.…

Human-Computer Interaction · Computer Science 2021-09-08 Zehua Zeng , Phoebe Moh , Fan Du , Jane Hoffswell , Tak Yeon Lee , Sana Malik , Eunyee Koh , Leilani Battle

Tree-based regression and classification has become a standard tool in modern data science. Bayesian Additive Regression Trees (BART) has in particular gained wide popularity due its flexibility in dealing with interactions and non-linear…

Computation · Statistics 2022-09-13 Alan Inglis , Andrew Parnell , Catherine Hurley

We classify two types of Hierarchical Bayesian Model found in the literature as Hierarchical Prior Model (HPM) and Hierarchical Stochastic Model (HSM). Then, we focus on studying the theoretical implications of the HSM. Using examples of…

Applications · Statistics 2016-11-10 Stephen Wu , Panagiotis Angelikopoulos , James L. Beck , Petros Koumoutsakos

Models with dimension more than the available sample size are now commonly used in various applications. A sensible inference is possible using a lower-dimensional structure. In regression problems with a large number of predictors, the…

Statistics Theory · Mathematics 2025-11-25 Sayantan Banerjee , Ismaël Castillo , Subhashis Ghosal

Model comparison is the cornerstone of theoretical progress in psychological research. Common practice overwhelmingly relies on tools that evaluate competing models by balancing in-sample descriptive adequacy against model flexibility, with…

Applications · Statistics 2021-10-11 Viet-Hung Dao , David Gunawan , Minh-Ngoc Tran , Robert Kohn , Guy E. Hawkins , Scott D. Brown

Prior sensitivity examination plays an important role in applied Bayesian analyses. This is especially true for Bayesian hierarchical models, where interpretability of the parameters within deeper layers in the hierarchy becomes…

Methodology · Statistics 2013-12-18 Malgorzata Roos , Thiago G. Martins , Leonhard Held , Havard Rue

We consider the use of Bayesian information criteria for selection of the graph underlying an Ising model. In an Ising model, the full conditional distributions of each variable form logistic regression models, and variable selection…

Statistics Theory · Mathematics 2015-03-09 Rina Foygel Barber , Mathias Drton

The performance of many machine learning models depends on their hyper-parameter settings. Bayesian Optimization has become a successful tool for hyper-parameter optimization of machine learning algorithms, which aims to identify optimal…

Machine Learning · Computer Science 2020-08-04 Lidan Wang , Franck Dernoncourt , Trung Bui

We present results from a preregistered and crowdsourced user study where we asked members of the general population to determine whether two samples represented using different forms of data visualizations are drawn from the same or…

Human-Computer Interaction · Computer Science 2023-09-25 Eric Newburger , Niklas Elmqvist

The collection of large, complex datasets has become common across a wide variety of domains. Visual analytics tools increasingly play a key role in exploring and answering complex questions about these large datasets. However, many…

Human-Computer Interaction · Computer Science 2020-06-19 David Borland , Wenyuan Wang , Jonathan Zhang , Joshua Shrestha , David Gotz