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Probabilistic models analyze data by relying on a set of assumptions. Data that exhibit deviations from these assumptions can undermine inference and prediction quality. Robust models offer protection against mismatch between a model's…

Machine Learning · Statistics 2018-06-20 Yixin Wang , Alp Kucukelbir , David M. Blei

In low-resource settings where vital registration of death is not routine it is often of critical interest to determine and study the cause of death (COD) for individuals and the cause-specific mortality fraction (CSMF) for populations.…

Applications · Statistics 2022-07-27 Kelly R. Moran , Elizabeth L. Turner , David Dunson , Amy H. Herring

Probabilistic machine learning models are often insufficient to help with decisions on interventions because those models find correlations - not causal relationships. If observational data is only available and experimentation are…

Artificial Intelligence · Computer Science 2021-05-13 Marios Papamichalis , Abhishek Ray , Ilias Bilionis , Karthik Kannan , Rajiv Krishnamurthy

Spatiotemporal data analysis with massive zeros is widely used in many areas such as epidemiology and public health. We use a Bayesian framework to fit zero-inflated negative binomial models and employ a set of latent variables from…

Methodology · Statistics 2024-02-08 Qing He , Hsin-Hsiung Huang

Evidence accumulation models (EAMs) are an important class of cognitive models used to analyze both response time and response choice data recorded from decision-making tasks. Developments in estimation procedures have helped EAMs become…

Methodology · Statistics 2023-06-01 Viet Hung Dao , David Gunawan , Robert Kohn , Minh-Ngoc Tran , Guy E. Hawkins , Scott D. Brown

This study investigated the performance, explainability, and robustness of deployed artificial intelligence (AI) models in predicting mortality during the COVID-19 pandemic and beyond. The first study of its kind, we found that Bayesian…

Machine Learning · Computer Science 2023-11-30 Jacob R. Epifano , Stephen Glass , Ravi P. Ramachandran , Sharad Patel , Aaron J. Masino , Ghulam Rasool

This work presents a Bayesian approach for the estimation of Beta Autoregressive Moving Average ($\beta$ARMA) models. We discuss standard choice for the prior distributions and employ a Hamiltonian Monte Carlo algorithm to sample from the…

Methodology · Statistics 2023-07-17 Aline Foerster Grande , Guilherme Pumi , Gabriela Bettella Cybis

For a Bayesian, real-time forecasting with the posterior predictive distribution can be challenging for a variety of time series models. First, estimating the parameters of a time series model can be difficult with sample-based approaches…

Applications · Statistics 2022-08-08 Taylor R. Brown

Applying a machine learning model for decision-making in the real world requires to distinguish what the model knows from what it does not. A critical factor in assessing the knowledge of a model is to quantify its predictive uncertainty.…

Machine Learning · Computer Science 2023-11-15 Kajetan Schweighofer , Lukas Aichberger , Mykyta Ielanskyi , Sepp Hochreiter

In this paper we briefly review the main methodological aspects concerned with the application of the Bayesian approach to model choice and model averaging in the context of variable selection in regression models. This includes prior…

Computation · Statistics 2016-12-08 Anabel Forte , Gonzalo Garcia-Donato , Mark Steel

Accidental damage is a typical component of motor insurance claim. Modeling of this nature generally involves analysis of past claim history and different characteristics of the insured objects and the policyholders. Generalized linear…

Applications · Statistics 2017-10-11 Sen Hu , Adrian O'Hagan , Thomas Brendan Murphy

We propose a methodology for modeling and comparing probability distributions within a Bayesian nonparametric framework. Building on dependent normalized random measures, we consider a prior distribution for a collection of discrete random…

Methodology · Statistics 2022-06-01 Mario Beraha , Jim E. Griffin

The increasing life expectancy enhances the importance of mortality forecasting. Most developing nations, including Tanzania, forecast mortality rates using static life tables. However, these tables exaggerate death probabilities by…

Optimization and Control · Mathematics 2023-12-22 Samya Suleiman , Karl Lundengård , John Andongwisye , Emmanuel Evarest

We propose a method to improve the efficiency and accuracy of amortized Bayesian inference by leveraging universal symmetries in the joint probabilistic model of parameters and data. In a nutshell, we invert Bayes' theorem and estimate the…

Machine Learning · Computer Science 2024-07-24 Marvin Schmitt , Desi R. Ivanova , Daniel Habermann , Ullrich Köthe , Paul-Christian Bürkner , Stefan T. Radev

Accurate epidemic forecasting is critical for effective public health interventions. This study compares Bayesian and Frequentist estimation frameworks within deterministic compartmental epidemic models, focusing on nonlinear least squares…

Quantitative Methods · Quantitative Biology 2025-09-09 Hamed Karami , Ruiyan Luo , Pejman Sanaei , Gerardo Chowell

Bootstrap techniques (also called resampling computation techniques) have introduced new advances in modeling and model evaluation. Using resampling methods to construct a series of new samples which are based on the original data set,…

Statistics Theory · Mathematics 2007-06-13 Riadh Kallel , Marie Cottrell , Vincent Vigneron

Generalized additive partial linear models (GAPLMs) are appealing for model interpretation and prediction. However, for GAPLMs, the covariates and the degree of smoothing in the nonparametric parts are often difficult to determine in…

Methodology · Statistics 2022-12-06 Ze Chen , Jun Liao , Wangli Xu , Yuhong Yang

In recent years, bankruptcy forecasting has gained lot of attention from researchers as well as practitioners in the field of financial risk management. For bankruptcy prediction, various approaches proposed in the past and currently in…

Statistical Finance · Quantitative Finance 2024-09-05 Amir Mukeri , Habibullah Shaikh , D. P. Gaikwad

The distribution of deaths by cause provides crucial information for public health planning, response, and evaluation. About 60% of deaths globally are not registered or given a cause, limiting our ability to understand disease…

Applications · Statistics 2018-11-28 Tsuyoshi Kunihama , Zehang Richard Li , Samuel J. Clark , Tyler H. McCormick

By providing a framework of accounting for the shared ancestry inherent to all life, phylogenetics is becoming the statistical foundation of biology. The importance of model choice continues to grow as phylogenetic models continue to…

Populations and Evolution · Quantitative Biology 2019-02-05 Jamie R. Oaks , Kerry A. Cobb , Vladimir N. Minin , Adam D. Leaché