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Model Updating is frequently used in Structural Health Monitoring to determine structures' operating conditions and whether maintenance is required. Data collected by sensors are used to update the values of some initially unknown…

Computation · Statistics 2024-01-23 Felipe Igea , Alice Cicirello

Approximate Bayesian computation (ABC) methods, which are applicable when the likelihood is difficult or impossible to calculate, are an active topic of current research. Most current ABC algorithms directly approximate the posterior…

Computation · Statistics 2012-12-10 Y. Fan , D. J. Nott , S. A. Sisson

This contribution presents a Bayesian approach to the issue of linking of the results from key comparison measurements. A mathematical treatment based on Bayesian statistics for the analysis of the results from two comparisons with some…

Applications · Statistics 2015-01-29 Michael Krystek , Harald Bosse

Likelihood-free Bayesian inference algorithms are popular methods for calibrating the parameters of complex, stochastic models, required when the likelihood of the observed data is intractable. These algorithms characteristically rely…

Computation · Statistics 2021-12-23 Thomas P Prescott , David J Warne , Ruth E Baker

Peer grading systems aggregate noisy reports from multiple students to approximate a true grade as closely as possible. Most current systems either take the mean or median of reported grades; others aim to estimate students' grading…

Artificial Intelligence · Computer Science 2022-12-05 Hedayat Zarkoob , Greg d'Eon , Lena Podina , Kevin Leyton-Brown

State-of-the-art neural network-based methods for learning summary statistics have delivered promising results for simulation-based likelihood-free parameter inference. Existing approaches require density estimation as a post-processing…

High-dimensional data can be useful for causal inference by providing many confounders that may bolster the plausibility of the ignorability assumption. Propensity score methods are powerful tools for causal inference, are popular in health…

Methodology · Statistics 2017-10-10 Jacob Spertus , Sharon-Lise Normand

Bayesian Neural Networks (BNNs) place priors over the parameters in a neural network. Inference in BNNs, however, is difficult; all inference methods for BNNs are approximate. In this work, we empirically compare the quality of predictive…

Machine Learning · Computer Science 2019-06-25 Jiayu Yao , Weiwei Pan , Soumya Ghosh , Finale Doshi-Velez

Subclassification estimators are one of the methods used to estimate causal effects of interest using the propensity score. This method is more stable compared to other weighting methods, such as inverse probability weighting estimators, in…

Methodology · Statistics 2024-10-22 Shunichiro Orihara , Tomotaka Momozaki

In statistical applications, it is common to encounter parameters supported on a varying or unknown dimensional space. Examples include the fused lasso regression, the matrix recovery under an unknown low rank, etc. Despite the ease of…

Methodology · Statistics 2022-10-04 Maoran Xu , Hua Zhou , Yujie Hu , Leo L. Duan

The authors give an approximation method for Bayesian inference in arena model, which is focused on paired comparisons with eliminations and bifurcations. The approximation method simplifies the inference by reducing parameters and…

Methodology · Statistics 2019-11-20 Yutong Nie , Chenhe Zhang

Neural networks are popular state-of-the-art models for many different tasks.They are often trained via back-propagation to find a value of the weights that correctly predicts the observed data. Although back-propagation has shown good…

Machine Learning · Statistics 2020-12-29 Simón Rodríguez Santana , Daniel Hernández-Lobato

Bayesian statistics has gained popularity in psychological research due to its intuitive uncertainty quantification and convenient information-updating rules. In many applications, however, prior distributions are introduced merely as…

Methodology · Statistics 2026-03-10 Yang Liu , Jonathan P. Williams , Jan Hannig

Both Approximate Bayesian Computation (ABC) and composite likelihood methods are useful for Bayesian and frequentist inference, respectively, when the likelihood function is intractable. We propose to use composite likelihood score…

Computation · Statistics 2015-02-25 Erlis Ruli , Nicola Sartori , Laura Ventura

Bayesian methods estimate a measure of uncertainty by using the posterior distribution. One source of difficulty in these methods is the computation of the normalizing constant. Calculating exact posterior is generally intractable and we…

Machine Learning · Computer Science 2021-11-17 Farzaneh Mahdisoltani

Fairness-aware learning aims to mitigate discrimination against specific protected social groups (e.g., those categorized by gender, ethnicity, age) while minimizing predictive performance loss. Despite efforts to improve fairness in…

Machine Learning · Computer Science 2025-05-02 Kewen Peng , Yicheng Yang , Hao Zhuo

Nearest neighbor methods are a popular class of nonparametric estimators with several desirable properties, such as adaptivity to different distance scales in different regions of space. Prior work on convergence rates for nearest neighbor…

Machine Learning · Computer Science 2014-07-03 Kamalika Chaudhuri , Sanjoy Dasgupta

Bayesian inference provides a flexible way of combining data with prior information. However, quantile regression is not equipped with a parametric likelihood, and therefore, Bayesian inference for quantile regression demands careful…

Statistics Theory · Mathematics 2012-07-24 Yunwen Yang , Xuming He

Bayesian inference typically relies on specifying a parametric model that approximates the data-generating process. However, misspecified models can yield poor convergence rates and unreliable posterior calibration. Bayesian empirical…

Methodology · Statistics 2025-10-27 Kenyon Ng , Weichang Yu , Howard D. Bondell

We propose a method for estimating the posterior distribution of a standard geostatistical model. After choosing the model formulation and specifying a prior, we use normal mixture densities to approximate the posterior distribution. The…

Methodology · Statistics 2014-09-10 Zepu Zhang