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Uncertainty approximation in text classification is an important area with applications in domain adaptation and interpretability. One of the most widely used uncertainty approximation methods is Monte Carlo (MC) Dropout, which is…

Machine Learning · Computer Science 2023-07-20 Andreas Nugaard Holm , Dustin Wright , Isabelle Augenstein

This manuscript outlines a software package that facilitates working with probability distributions by means of Monte-Carlo methods, in a way that allows for propagation of multivariate probability distributions through arbitrary functions.…

Mathematical Software · Computer Science 2020-01-22 Fredrik Bagge Carlson

Over recent years, deep learning based image registration has achieved impressive accuracy in many domains, including medical imaging and, specifically, human neuroimaging with magnetic resonance imaging (MRI). However, the uncertainty…

Computer Vision and Pattern Recognition · Computer Science 2025-03-11 Xiaoling Hu , Karthik Gopinath , Peirong Liu , Malte Hoffmann , Koen Van Leemput , Oula Puonti , Juan Eugenio Iglesias

In statistical analysis, Monte Carlo (MC) stands as a classical numerical integration method. When encountering challenging sample problem, Markov chain Monte Carlo (MCMC) is a commonly employed method. However, the MCMC estimator is biased…

Numerical Analysis · Mathematics 2024-11-05 Jiarui Du , Zhijian He

Multi-fidelity Monte Carlo (MFMC) is a variance reduction method that leverages a multi-fidelity ensemble of models of varying cost and accuracy levels. Constructing an MFMC estimator with optimal variance requires knowledge of the…

Methodology · Statistics 2026-05-25 Michael Stanley , Thomas Coons , Geoffrey Bomarito , Patrick Leser , Joshua Pribe , James Warner

Handling missing data is a central challenge in data-driven analysis. Modern imputation methods not only aim for accurate reconstruction but also differ in how they represent and quantify uncertainty. Yet, the reliability and calibration of…

Databases · Computer Science 2025-11-27 Zarin Tahia Hossain , Mostafa Milani

In this paper, we investigate the system performance of a multi-cell multi-user (MU) hybrid millimeter wave (mmWave) multiple-input multiple-output (MIMO) network adopting the channel estimation algorithm proposed in [1] for channel…

Signal Processing · Electrical Eng. & Systems 2018-01-30 Lou Zhao , Zhiqiang Wei , Derrick Wing Kwan Ng , Jinhong Yuan , Mark C. Reed

We provide a general methodology for unbiased estimation for intractable stochastic models. We consider situations where the target distribution can be written as an appropriate limit of distributions, and where conventional approaches…

Methodology · Statistics 2014-12-01 Sergios Agapiou , Gareth O. Roberts , Sebastian J. Vollmer

This study is devoted to the construction of a multifidelity Monte Carlo (MFMC) method for the uncertainty quantification of a nonlocal, non-mass-conserving Cahn-Hilliard model for phase transitions with an obstacle potential. We are…

Computational Engineering, Finance, and Science · Computer Science 2023-10-18 Parisa Khodabakhshi , Olena Burkovska , Karen Willcox , Max Gunzburger

Computational tools for characterizing electromagnetic scattering from objects with uncertain shapes are needed in various applications ranging from remote sensing at microwave frequencies to Raman spectroscopy at optical frequencies.…

This work introduces the use of multivariate global sensitivity analysis for assessing the impact of uncertain electric machine design parameters on efficiency maps and profiles. Contrary to the common approach of applying variance-based…

Computational Engineering, Finance, and Science · Computer Science 2026-04-29 Aylar Partovizadeh , Sebastian Schöps , Dimitrios Loukrezis

Data transformations are essential for broad applicability of parametric regression models. However, for Bayesian analysis, joint inference of the transformation and model parameters typically involves restrictive parametric transformations…

Methodology · Statistics 2024-08-29 Daniel R. Kowal , Bohan Wu

Bayesian inference provides a principled framework for probabilistic reasoning. If inference is performed in two steps, uncertainty propagation plays a crucial role in accounting for all sources of uncertainty and variability. This becomes…

Methodology · Statistics 2026-02-16 Svenja Jedhoff , Hadi Kutabi , Anne Meyer , Paul-Christian Bürkner

Purpose: Prenatal ultrasound is a key tool in evaluating fetal structural development and detecting abnormalities, contributing to reduced perinatal complications and improved neonatal survival. Accurate identification of standard fetal…

Computer Vision and Pattern Recognition · Computer Science 2025-08-14 Shengjun Zhu , Siyu Liu , Runqing Xiong , Liping Zheng , Duo Ma , Rongshang Chen , Jiaxin Cai

Countless research works of deep neural networks (DNNs) in the task of credit card fraud detection have focused on improving the accuracy of point predictions and mitigating unwanted biases by building different network architectures or…

A general purpose, self-adapting, Monte Carlo (MC) event generator (simulator) is described. The high efficiency of the MC, that is small maximum weight or variance of the MC weight is achieved by means of dividing the integration domain…

Computational Physics · Physics 2009-11-07 S. Jadach

We quantify uncertainties in the location and magnitude of extreme pressure spots revealed from large scale multi-phase flow simulations of cloud cavitation collapse. We examine clouds containing 500 cavities and quantify uncertainties…

Computational Engineering, Finance, and Science · Computer Science 2017-11-09 Jonas Šukys , Ursula Rasthofer , Fabian Wermelinger , Panagiotis Hadjidoukas , Petros Koumoutsakos

An important paradigm in 3D object detection is the use of multiple modalities to enhance accuracy in both normal and challenging conditions, particularly for long-tail scenarios. To address this, recent studies have explored two directions…

Computer Vision and Pattern Recognition · Computer Science 2024-10-17 Minkyoung Cho , Yulong Cao , Jiachen Sun , Qingzhao Zhang , Marco Pavone , Jeong Joon Park , Heng Yang , Z. Morley Mao

High statistical precision is critical for Monte Carlo (MC) samples in high energy physics and is degraded by negatively weighted events. This paper investigates a procedure to learn the relationship between the negative and positive weight…

High Energy Physics - Experiment · Physics 2026-01-15 Christopher Palmer , Braden Kronheim

When machine learning supports decision-making in safety-critical systems, it is important to verify and understand the reasons why a particular output is produced. Although feature importance calculation approaches assist in…

Machine Learning · Statistics 2020-09-14 Divish Rengasamy , Benjamin Rothwell , Grazziela Figueredo