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A conventional Bayesian approach to prediction uses the posterior distribution to integrate out parameters in a density for unobserved data conditional on the observed data and parameters. When the true posterior is intractable, it is…

Methodology · Statistics 2026-02-27 Lucas Kock , Scott A. Sisson , G. S. Rodrigues , David J. Nott

Gaussian processes (GPs) are Bayesian nonparametric models for function approximation with principled predictive uncertainty estimates. Deep Gaussian processes (DGPs) are multilayer generalizations of GPs that can represent complex marginal…

Machine Learning · Statistics 2024-09-20 Qiuxian Meng , Yongyou Zhang

Recent advances in neural density estimation have enabled powerful simulation-based inference (SBI) methods that can flexibly approximate Bayesian inference for intractable stochastic models. Although these methods have demonstrated…

Machine Learning · Statistics 2025-12-17 Matthew O'Callaghan , Kaisey S. Mandel , Gerry Gilmore

Histogram-based template fits are the main technique used for estimating parameters of high energy physics Monte Carlo generators. Parametrized neural network reweighting can be used to extend this fitting procedure to many dimensions and…

High Energy Physics - Phenomenology · Physics 2021-04-08 Anders Andreassen , Shih-Chieh Hsu , Benjamin Nachman , Natchanon Suaysom , Adi Suresh

Generalized linear models (GLMs) are fundamental tools for statistical modeling, with maximum likelihood estimation (MLE) serving as the classical approach for parameter inference. While MLE performs well for canonical GLMs, it can become…

Methodology · Statistics 2026-03-03 Linglingzhi Zhu , Jonghyeok Lee , Yao Xie

As one of the most commonly seen data challenges, missing data, in particular, multiple, non-monotone missing patterns, complicates estimation and inference due to the fact that missingness mechanisms are often not missing at random, and…

Methodology · Statistics 2025-04-21 Jianing Dong , Raymond K. W. Wong , Kwun Chuen Gary Chan

Deep neural networks (DNNs) have made a revolution in numerous fields during the last decade. However, in tasks with high safety requirements, such as medical or autonomous driving applications, providing an assessment of the models…

Machine Learning · Computer Science 2020-11-20 Omer Achrack , Raizy Kellerman , Ouriel Barzilay

Deep neural networks have gained momentum based on their accuracy, but their interpretability is often criticised. As a result, they are labelled as black boxes. In response, several methods have been proposed in the literature to explain…

Machine Learning · Computer Science 2022-07-05 Cosimo Izzo , Aldo Lipani , Ramin Okhrati , Francesca Medda

Missing data persists as a major barrier to data analysis across numerous applications. Recently, deep generative models have been used for imputation of missing data, motivated by their ability to capture highly non-linear and complex…

Machine Learning · Statistics 2022-10-03 Breeshey Roskams-Hieter , Jude Wells , Sara Wade

Likelihood-based, or explicit, deep generative models use neural networks to construct flexible high-dimensional densities. This formulation directly contradicts the manifold hypothesis, which states that observed data lies on a…

Machine Learning · Statistics 2022-11-30 Gabriel Loaiza-Ganem , Brendan Leigh Ross , Jesse C. Cresswell , Anthony L. Caterini

There is a growing need for the ability to analyse interval-valued data. However, existing descriptive frameworks to achieve this ignore the process by which interval-valued data are typically constructed; namely by the aggregation of…

Methodology · Statistics 2019-03-08 Xin Zhang , Boris Beranger , Scott A. Sisson

Multiple imputation has become one of the standard methods in drawing inferences in many incomplete data applications. Applications of multiple imputation in relatively more complex settings, such as high-dimensional clustered data, require…

Methodology · Statistics 2025-04-08 Qiushuang Li , Recai Yucel

This paper reviews recent advances in missing data research using graphical models to represent multivariate dependencies. We first examine the limitations of traditional frameworks from three different perspectives: \textit{transparency,…

Methodology · Statistics 2019-11-15 Karthika Mohan , Judea Pearl

In this paper, we provide a novel Model-free approach based on Deep Neural Network (DNN) to accomplish point prediction and prediction interval under a general regression setting. Usually, people rely on parametric or non-parametric models…

Machine Learning · Statistics 2024-09-13 Kejin Wu , Dimitris N. Politis

Computational image reconstruction algorithms generally produce a single image without any measure of uncertainty or confidence. Regularized Maximum Likelihood (RML) and feed-forward deep learning approaches for inverse problems typically…

Machine Learning · Computer Science 2020-12-18 He Sun , Katherine L. Bouman

Dealing with missing values and incomplete time series is a labor-intensive, tedious, inevitable task when handling data coming from real-world applications. Effective spatio-temporal representations would allow imputation methods to…

Machine Learning · Computer Science 2022-02-11 Andrea Cini , Ivan Marisca , Cesare Alippi

This paper proposes a general multiple imputation approach for analyzing large-scale data with missing values. An imputation model is derived from a joint distribution induced by a latent variable model, which can flexibly capture…

Methodology · Statistics 2025-09-26 Siliang Zhang , Yunxiao Chen , Jouni Kuha

Missing data represents a fundamental challenge in machine learning applications, often reducing model performance and reliability. This problem is particularly acute in fields like bioinformatics and clinical machine learning, where…

Machine Learning · Computer Science 2025-09-04 Fatemeh Azad , Zoran Bosnić , Matjaž Kukar

We address the problems of giving a semantics to- and doing query answering (QA) on a relational database (RDB) that has missing values (MVs). The causes for the latter are governed by a Missingness Mechanism that is modelled as a Bayesian…

Databases · Computer Science 2026-04-09 Leopoldo Bertossi , Farouk Toumani , Maxime Buron

Despite exceptional predictive performance of Deep sequence models (DSMs), the main concern of their deployment centers around the lack of uncertainty awareness. In contrast, probabilistic models quantify the uncertainty associated with…

Machine Learning · Computer Science 2026-03-03 Wenlong Chen
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