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This work introduces the network uncertainty quantification (NetUQ) method for performing uncertainty propagation in systems composed of interconnected components. The method assumes the existence of a collection of components, each of…

Numerical Analysis · Mathematics 2019-09-02 Kevin Carlberg , Sofia Guzzetti , Mohammad Khalil , Khachik Sargsyan

Forward uncertainty quantification (UQ) for partial differential equations is a many-query task that requires a significant number of model evaluations. The objective of this work is to mitigate the computational cost of UQ for a 3D-1D…

Numerical Analysis · Mathematics 2024-02-14 Piermario Vitullo , Nicola Rares Franco , Paolo Zunino

OOD detection has become more pertinent with advances in network design and increased task complexity. Identifying which parts of the data a given network is misclassifying has become as valuable as the network's overall performance. We can…

Computer Vision and Pattern Recognition · Computer Science 2024-03-05 Rishi Singhal , Srinath Srinivasan

While standard approaches to optimisation focus on producing a single high-performing solution, Quality-Diversity (QD) algorithms allow large diverse collections of such solutions to be found. If QD has proven promising across a large…

Neural and Evolutionary Computing · Computer Science 2023-04-27 Manon Flageat , Luca Grillotti , Antoine Cully

Accurate prediction of molecular vibrational frequencies is important to identify spectroscopic signatures and reaction thermodynamics. In this work, we develop a method to quantify uncertainty associated with density functional theory…

Chemical Physics · Physics 2019-03-13 Holden L. Parks , Alan. J. H. McGaughey , Venkatasubramanian Viswanathan

Computational molecular modeling and visualization has seen significant progress in recent years with sev- eral molecular modeling and visualization software systems in use today. Nevertheless the molecular biology community lacks…

Computational Engineering, Finance, and Science · Computer Science 2016-05-20 Muhibur Rasheed , Nathan Clement , Abhishek Bhowmick , Chandrajit Bajaj

Functional data analysis is proved to be useful in many scientific applications. The physical process is observed as curves and often there are several curves observed due to multiple subjects, providing the replicates in statistical sense.…

Methodology · Statistics 2018-01-30 Tapabrata Maiti , Abolfazl Safikhani , Ping-Shou Zhong

Uncertainty quantification (UQ) plays a critical role in verifying and validating forward integrated computational materials engineering (ICME) models. Among numerous ICME models, the crystal plasticity finite element method (CPFEM) is a…

Materials Science · Physics 2023-01-27 Anh Tran , Pieterjan Robbe , Tim Wildey , David Montes de Oca Zapiain , Hojun Lim

Quantifying uncertainties for machine learning models is a critical step to reduce human verification effort by detecting predictions with low confidence. This paper proposes a method for uncertainty quantification (UQ) of table structure…

Computer Vision and Pattern Recognition · Computer Science 2024-07-03 Kehinde Ajayi , Leizhen Zhang , Yi He , Jian Wu

Researchers have proposed several approaches for neural network (NN) based uncertainty quantification (UQ). However, most of the approaches are developed considering strong assumptions. Uncertainty quantification algorithms often perform…

Sintering of alumina nanoparticles is of interest both from the view of fundamental research as well as for industrial applications. Atomistic simulations are tailor-made for understanding and predicting the time- and temperature-dependent…

Materials Science · Physics 2022-08-31 Shyamal Roy , Arun Prakash , Stefan Sandfeld

Quantifying the predictive uncertainty emerged as a possible solution to common challenges like overconfidence or lack of explainability and robustness of deep neural networks, albeit one that is often computationally expensive. Many…

Computer Vision and Pattern Recognition · Computer Science 2024-02-19 Steven Landgraf , Markus Hillemann , Theodor Kapler , Markus Ulrich

As machine learning (ML) models are increasingly deployed in high-stakes domains, trustworthy uncertainty quantification (UQ) is critical for ensuring the safety and reliability of these models. Traditional UQ methods rely on specifying a…

Machine Learning · Statistics 2025-05-14 Abhineet Agarwal , Michael Xiao , Rebecca Barter , Omer Ronen , Boyu Fan , Bin Yu

The quality of synthetically generated images (e.g. those produced by diffusion models) are often evaluated using information about image contents encoded by pretrained auxiliary models. For example, the Fr\'{e}chet Inception Distance (FID)…

Computer Vision and Pattern Recognition · Computer Science 2025-04-07 Ciaran Bench , Spencer A. Thomas

Uncertainty Quantification (UQ) is a key discipline for computational modeling of complex systems, enhancing reliability of engineering simulations. In crashworthiness, having an accurate assessment of the behavior of the model uncertainty…

Methodology · Statistics 2021-09-17 Marc Rocas , Alberto García-González , Sergio Zlotnik , Xabier Larráyoz , Pedro Díez

Uncertainty quantification (UQ) has become critical for evaluating the reliability of artificial intelligence systems, especially in medical image segmentation. This study addresses the interpretability of instance-wise uncertainty values…

Additive manufacturing (AM) technology is being increasingly adopted in a wide variety of application areas due to its ability to rapidly produce, prototype, and customize designs. AM techniques afford significant opportunities in regard to…

Applications · Statistics 2023-03-24 Ziyu Xie , Wen Jiang , Congjian Wang , Xu Wu

An accurate description of information is relevant for a range of problems in atomistic machine learning (ML), such as crafting training sets, performing uncertainty quantification (UQ), or extracting physical insights from large datasets.…

Materials Science · Physics 2025-05-02 Daniel Schwalbe-Koda , Sebastien Hamel , Babak Sadigh , Fei Zhou , Vincenzo Lordi

Turbulent flows play an important role in many scientific and technological design problems. Both Sub-Grid Scale (SGS) models in Large Eddy Simulations (LES) and Reynolds Averaged Navier Stokes (RANS) based modeling will require turbulence…

Fluid Dynamics · Physics 2024-07-16 Minghan Chu

Machine Learning Interatomic Potentials (MLIPs) achieve near ab initio accuracy at a fraction of the cost of quantum-mechanical simulations, yet they remain prone to silent failures on out-of-distribution configurations, making principled…

Computational Engineering, Finance, and Science · Computer Science 2026-05-27 Olga Zaghen , Maksim Zhdanov , Dario Coscia , David R. Wessels , Erik J. Bekkers
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