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Nuclear energy density functionals (EDFs) have a long history of success in reproducing properties of nuclei across the table of the nuclides. They capture quantitatively the emergent features of bound nuclei, such as nuclear saturation and…

Nuclear Theory · Physics 2020-06-24 R. J. Furnstahl

In chemistry, deep neural network models have been increasingly utilized in a variety of applications such as molecular property predictions, novel molecule designs, and planning chemical reactions. Despite the rapid increase in the use of…

Chemical Physics · Physics 2019-05-17 Seongok Ryu , Yongchan Kwon , Woo Youn Kim

This study investigates uncertainty quantification (UQ) using quantum-classical hybrid machine learning (ML) models for applications in complex and dynamic fields, such as attaining resiliency in supply chain digital twins and financial…

Much of uncertainty quantification to date has focused on determining the effect of variables modeled probabilistically, and with a known distribution, on some physical or engineering system. We develop methods to obtain information on the…

Numerical Analysis · Mathematics 2015-03-19 Kamaljit Chowdhary , Paul Dupuis

Despite the huge success of deep neural networks (NNs), finding good mechanisms for quantifying their prediction uncertainty is still an open problem. Bayesian neural networks are one of the most popular approaches to uncertainty…

Machine Learning · Statistics 2020-01-01 Agustinus Kristiadi , Sina Däubener , Asja Fischer

Classifiers based on neural networks (NN) often lack a measure of uncertainty in the predicted class. We propose a method to estimate the probability mass function (PMF) of the different classes, as well as the covariance of the estimated…

Machine Learning · Computer Science 2024-10-28 Magnus Malmström , Isaac Skog , Daniel Axehill , Fredrik Gustafsson

In machine learning energy potentials for atomic systems, forces are commonly obtained as the negative derivative of the energy function with respect to atomic positions. To quantify aleatoric uncertainty in the predicted energies, a widely…

Machine Learning · Statistics 2023-12-08 Peter Bjørn Jørgensen , Jonas Busk , Ole Winther , Mikkel N. Schmidt

Precise probabilistic forecasts are fundamental for energy risk management, and there is a wide range of both statistical and machine learning models for this purpose. Inherent to these probabilistic models is some form of uncertainty…

Machine Learning · Computer Science 2025-10-10 Andreas Lebedev , Abhinav Das , Sven Pappert , Stephan Schlüter

Effective Field Theory (EFT) extensions of the Standard Model are tools to compute observables $\big(e.g.$ cross sections with partonic center-of-mass energy $\sqrt{\hat{s}}\,\big)$ as a systematically improvable expansion suppressed by a…

High Energy Physics - Phenomenology · Physics 2022-06-07 Timothy Cohen , Joel Doss , Xiaochuan Lu

Accurate representations of unknown and sub-grid physical processes through parameterizations (or closure) in numerical simulations with quantified uncertainty are critical for resolving the coarse-grained partial differential equations…

Machine Learning · Computer Science 2024-05-08 Yongquan Qu , Mohamed Aziz Bhouri , Pierre Gentine

The importance of uncertainty quantification is increasingly recognized in the diverse field of machine learning. Accurately assessing model prediction uncertainty can help provide deeper understanding and confidence for researchers and…

Machine Learning · Computer Science 2024-12-03 Tianyi Chen , Yingzhou Lu , Nan Hao , Yuanyuan Zhang , Capucine Van Rechem , Jintai Chen , Tianfan Fu

We propose a simple scheme to construct composition-dependent interatomic potentials for multicomponent systems that when superposed onto the potentials for the pure elements can reproduce not only the heat of mixing of the solid solution…

Materials Science · Physics 2012-01-31 B. Sadigh , P. Erhart , A. Stukowski , A. Caro

We show that ensembling effectively quantifies model uncertainty in Neural Radiance Fields (NeRFs) if a density-aware epistemic uncertainty term is considered. The naive ensembles investigated in prior work simply average rendered RGB…

Computer Vision and Pattern Recognition · Computer Science 2022-09-20 Niko Sünderhauf , Jad Abou-Chakra , Dimity Miller

Large Language Models (LLMs) are increasingly deployed to autonomously solve real-world tasks. A key ingredient for this is the LLM Function-Calling paradigm, a widely used approach for equipping LLMs with tool-use capabilities. However, an…

Computation and Language · Computer Science 2026-04-28 Zihuiwen Ye , Lukas Aichberger , Michael Kirchhof , Sinead Williamson , Luca Zappella , Yarin Gal , Arno Blaas , Adam Golinski

All-atom dynamics simulations are an indispensable quantitative tool in physics, chemistry, and materials science, but large systems and long simulation times remain challenging due to the trade-off between computational efficiency and…

Materials Science · Physics 2024-03-21 Stephen R. Xie , Matthias Rupp , Richard G. Hennig

Existing frameworks for probabilistic inference assume the quantity of interest is the parameter of a posited statistical model. In machine learning applications, however, often there is no statistical model/parameter; the quantity of…

Statistics Theory · Mathematics 2022-11-22 Leonardo Cella , Ryan Martin

Sources of uncertainty are reviewed for calculated atomic and molecular data that are important for plasma modeling: atomic and molecular structure and cross sections for electron-atom, electron-molecule, and heavy particle collisions. We…

Uncertainty quantification approaches have been more critical in large language models (LLMs), particularly high-risk applications requiring reliable outputs. However, traditional methods for uncertainty quantification, such as…

Artificial Intelligence · Computer Science 2024-07-01 Ferhat Ozgur Catak , Murat Kuzlu

We have developed a multi-objective optimization (MOO) procedure to construct modified-embedded-atom-method (MEAM) potentials with minimal manual fitting. This procedure has been applied successfully to develop a new MEAM potential for…

In this paper, we introduce a new technique that combines two popular methods to estimate uncertainty in object detection. Quantifying uncertainty is critical in real-world robotic applications. Traditional detection models can be ambiguous…

Computer Vision and Pattern Recognition · Computer Science 2021-06-30 Zongyao Lyu , Nolan B. Gutierrez , William J. Beksi
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