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A key factor for ensuring safety in Autonomous Vehicles (AVs) is to avoid any abnormal behaviors under undesirable and unpredicted circumstances. As AVs increasingly rely on Deep Neural Networks (DNNs) to perform safety-critical tasks,…

Machine Learning · Computer Science 2020-07-03 Fabio Arnez , Huascar Espinoza , Ansgar Radermacher , François Terrier

Monte Carlo simulations are a unique tool to check the response of a detector and to monitor its performance. For a deep-sea neutrino telescope, the variability of the environmental conditions that can affect the behaviour of the data…

High Energy Astrophysical Phenomena · Physics 2021-02-03 The ANTARES Collaboration , A. Albert , M. André , M. Anghinolfi , G. Anton , M. Ardid , J. -J. Aubert , J. Aublin , B. Baret , S. Basa , B. Belhorma , V. Bertin , S. Biagi , M. Bissinger , J. Boumaaza , M. Bouta , M. C. Bouwhuis , H. Branzas , R. Bruijn , J. Brunner , J. Busto , A. Capone , L. Caramete , J. Carr , S. Cecchini , S. Celli , M. Chabab , T. N. Chau , R. Cherkaoui El Moursli , T. Chiarusi , M. Circella , A. Coleiro , M. Colomer-Molla , R. Coniglione , P. Coyle , A. Creusot , A. F. Diaz , G. de Wasseige , A. Deschamps , C. Distefano , I. Di Palma , A. Domi , C. Donzaud , D. Dornic , D. Drouhin , T. Eberl , N. El Khayati , A. Enzenhofer , A. Ettahiri , P. Fermani , G. Ferrara , F. Filippini , L. Fusco , P. Gay , H. Glotin , R. Gozzini , K. Graf , C. Guidi , S. Hallmann , H. van Haren , A. J. Heijboer , Y. Hello , J. J. Hernandez-Rey , J. Hossl , J. Hofestadt , F. Huang , G. Illuminati , C. W. James , M. de Jong , P. de Jong , M. Jongen , M. Kadler , O. Kalekin , U. Katz , N. R. Khan-Chowdhury , A. Kouchner , I. Kreykenbohm , V. Kulikovskiy , R. Lahmann , R. Le Breton , D. Lefevre , E. Leonora , G. Levi , M. Lincetto , D. Lopez-Coto , S. Loucatos , J. Manczak , M. Marcelin , A. Margiotta , A. Marinelli , J. A. Martinez-Mora , S. Mazzou , K. Melis , P. Migliozzi , M. Moser , A. Moussa , R. Muller , L. Nauta , S. Navas , E. Nezri , A. Nunez-Castineyra , B. O'Fearraigh , M. Organokov , G. E. Pavalas , C. Pellegrino , M. Perrin-Terrin , P. Piattelli , C. Poirè , V. Popa , T. Pradier , N. Randazzo , S. Reck , G. Riccobene , F. Salesa , A. Sanchez-Losa , D. F. E. Samtleben , M. Sanguineti , P. Sapienza , J. Schnabel , F. Schussler , M. Spurio , Th. Stolarczyk , B. Strandberg , M. Taiuti , Y. Tayalati , T. Thakore , S. J. Tingay , B. Vallage , V. Van Elewyck , F. Versari , S. Viola , D. Vivolo , J. Wilms , A. Zegarelli , J. D. Zornoza , J. Zuniga

The practice of uncertainty quantification (UQ) validation, notably in machine learning for the physico-chemical sciences, rests on several graphical methods (scattering plots, calibration curves, reliability diagrams and confidence curves)…

Chemical Physics · Physics 2023-03-31 Pascal Pernot

Monte Carlo Approaches for calculating Value-at-Risk (VaR) are powerful tools widely used by financial risk managers across the globe. However, they are time consuming and sometimes inaccurate. In this paper, a fast and accurate Monte Carlo…

General Economics · Economics 2020-11-17 Seyed Mohammad Sina Seyfi , Azin Sharifi , Hamidreza Arian

Even though virtual testing of Autonomous Vehicles (AVs) has been well recognized as essential for safety assessment, AV simulators are still undergoing active development. One particularly challenging question is to effectively include the…

Robotics · Computer Science 2024-02-28 Andrea Piazzoni , Jim Cherian , Justin Dauwels , Lap-Pui Chau

Neural networks are used for many real world applications, but often they have problems estimating their own confidence. This is particularly problematic for computer vision applications aimed at making high stakes decisions with humans and…

Computer Vision and Pattern Recognition · Computer Science 2021-04-19 Matias Valdenegro-Toro

Existing procedures for model validation have been deemed inadequate for many engineering systems. The reason of this inadequacy is due to the high degree of complexity of the mechanisms that govern these systems. It is proposed in this…

Artificial Intelligence · Computer Science 2007-05-23 A. Guergachi

The approach to the ergodic limit in Monte Carlo simulations is studied using both analytic and numerical methods. With the help of a stochastic model, a metric is defined that enables the examination of a simulation in both the ergodic and…

Chemical Physics · Physics 2009-11-06 J. P. Neirotti , D. L. Freeman , J. D. Doll

Wave-function Monte Carlo methods are an important tool for simulating quantum systems, but the standard method cannot be used to simulate decoherence in continuously measured systems. Here we present a new Monte Carlo method for such…

Quantum Physics · Physics 2013-05-29 Kurt Jacobs

We explore the recently-proposed Virtual Element Method (VEM) for numerical solution of boundary value problems on arbitrary polyhedral meshes. More specifically, we focus on the elasticity equations in three-dimensions and elaborate upon…

Numerical Analysis · Mathematics 2015-07-22 Arun L. Gain , Cameron Talischi , Glaucio H. Paulino

Deep neural networks have become the gold-standard approach for the automated segmentation of 3D medical images. Their full acceptance by clinicians remains however hampered by the lack of intelligible uncertainty assessment of the provided…

Image and Video Processing · Electrical Eng. & Systems 2022-09-23 Benjamin Lambert , Florence Forbes , Senan Doyle , Alan Tucholka , Michel Dojat

Predicting particle trajectories with neural networks (NNs) has substantially enhanced many scientific and engineering domains. However, effectively quantifying and visualizing the inherent uncertainty in predictions remains challenging.…

Machine Learning · Computer Science 2025-08-20 Jixian Li , Timbwaoga Aime Judicael Ouermi , Mengjiao Han , Chris R. Johnson

In the field of modeling, the word validation refers to simple comparisons between model outputs and experimental data. Usually, this comparison constitutes plotting the model results against data on the same axes to provide a visual…

Applications · Statistics 2021-06-11 Farid Mohammadi

Computer vision leveraging deep learning has achieved significant success in the last decade. Despite the promising performance of the existing deep models in the recent literature, the extent of models' reliability remains unknown.…

Computer Vision and Pattern Recognition · Computer Science 2020-04-13 Seyed Omid Sajedi , Xiao Liang

Deep ensembles can be considered as the current state-of-the-art for uncertainty quantification in deep learning. While the approach was originally proposed as a non-Bayesian technique, arguments supporting its Bayesian footing have been…

Machine Learning · Computer Science 2021-11-19 Lara Hoffmann , Clemens Elster

Off-road autonomous unmanned ground vehicles (UGVs) are being developed for military and commercial use to deliver crucial supplies in remote locations, help with mapping and surveillance, and to assist war-fighters in contested…

Measurement error data or errors-in-variable data have been collected in many studies. Natural criterion functions are often unavailable for general functional measurement error models due to the lack of information on the distribution of…

Statistics Theory · Mathematics 2010-02-24 Yanyuan Ma , Runze Li

Machine learning (ML) classification models are increasingly being used in a wide range of applications where it is important that predictions are accompanied by uncertainties, including in climate and earth observation, medical diagnosis…

Machine Learning · Computer Science 2025-11-13 Samuel Bilson , Maurice Cox , Anna Pustogvar , Andrew Thompson

The proliferation of Deep Neural Networks has resulted in machine learning systems becoming increasingly more present in various real-world applications. Consequently, there is a growing demand for highly reliable models in many domains,…

Computer Vision and Pattern Recognition · Computer Science 2024-03-19 Pedro Conde , Rui L. Lopes , Cristiano Premebida

Model uncertainty obtained by variational Bayesian inference with Monte Carlo dropout is prone to miscalibration. The uncertainty does not represent the model error well. In this paper, temperature scaling is extended to dropout variational…

Machine Learning · Computer Science 2019-11-19 Max-Heinrich Laves , Sontje Ihler , Karl-Philipp Kortmann , Tobias Ortmaier
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