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Uncertainty quantification (UQ) in machine learning is currently drawing increasing research interest, driven by the rapid deployment of deep neural networks across different fields, such as computer vision, natural language processing, and…

Machine Learning · Computer Science 2022-08-26 Zongren Zou , Xuhui Meng , Apostolos F Psaros , George Em Karniadakis

Computational chemistry has come a long way over the course of several decades, enabling subatomic level calculations particularly with the development of Density Functional Theory (DFT). Recently, machine-learned potentials (MLP) have…

Multifidelity forward uncertainty quantification (UQ) problems often involve multiple quantities of interest and heterogeneous models (e.g., different grids, equations, dimensions, physics, surrogate and reduced-order models). While…

Numerical Analysis · Mathematics 2023-06-26 M. Croci , K. E. Willcox , S. J. Wright

Machine learning interatomic potentials (MLIPs) have introduced a new paradigm for atomic simulations. Recent advancements have seen the emergence of universal MLIPs (uMLIPs) that are pre-trained on diverse materials datasets, providing…

Uncertainty quantification (UQ) is essential for assessing the reliability of Earth observation (EO) products. However, the extensive use of machine learning models in EO introduces an additional layer of complexity, as those models…

Machine Learning · Computer Science 2024-12-10 Yuanyuan Wang , Qian Song , Dawood Wasif , Muhammad Shahzad , Christoph Koller , Jonathan Bamber , Xiao Xiang Zhu

Supported nanoparticle catalysts are widely used in the chemical industry. Computational modeling of supported nanoparticles based on density functional theory (DFT) often involves structural searches of stable local minimum energy…

Materials Science · Physics 2026-03-26 Jiayan Xu , Abhirup Patra , Amar Deep Pathak , Sharan Shetty , Detlef Hohl , Roberto Car

Uncertainty estimation bears the potential to make deep learning (DL) systems more reliable. Standard techniques for uncertainty estimation, however, come along with specific combinations of strengths and weaknesses, e.g., with respect to…

Machine Learning · Computer Science 2022-05-02 Joachim Sicking , Maram Akila , Jan David Schneider , Fabian Hüger , Peter Schlicht , Tim Wirtz , Stefan Wrobel

Universal machine learning interatomic potentials have emerged as efficient tools for materials simulation, yet their reliability for elastic property prediction remains unclear. Here, we present a systematic benchmark of four uMLIPs --…

Materials Science · Physics 2026-03-06 Pengfei Gao , Haidi Wang

Deep learning models for semantic segmentation are prone to poor performance in real-world applications due to the highly challenging nature of the task. Model uncertainty quantification (UQ) is one way to address this issue of lack of…

Computer Vision and Pattern Recognition · Computer Science 2022-11-04 Rishabh Singh , Jose C. Principe

Machine learning interatomic potentials (MLIPs) are one of the main techniques in the materials science toolbox, able to bridge ab initio accuracy with the computational efficiency of classical force fields. This allows simulations ranging…

Materials Science · Physics 2025-03-20 Bruno Focassio , Luis Paulo Mezzina Freitas , Gabriel R. Schleder

Deep learning has emerged as a promising paradigm to give access to highly accurate predictions of molecular and materials properties. A common short-coming shared by current approaches, however, is that neural networks only give point…

Computational Physics · Physics 2023-05-10 Albert Zhu , Simon Batzner , Albert Musaelian , Boris Kozinsky

With increasing computational demand, Neural-Network (NN) based models are being developed as pre-trained surrogates for different thermohydraulics phenomena. An area where this approach has shown promise is in developing higher-fidelity…

Fluid Dynamics · Physics 2024-12-13 Cody Grogan , Som Dutta , Mauricio Tano , Somayajulu L. N. Dhulipala , Izabela Gutowska

The rapid development of pretrained Machine Learning Interatomic Potentials (MLIPs) that cover a wide range of molecular species has made it challenging to select the best model for a given application. We benchmark 15 pretrained MLIPs,…

Chemical Physics · Physics 2026-04-22 Peter Eastman , Evan Pretti , Thomas E. Markland

Inverse Uncertainty Quantification (UQ), or Bayesian calibration, is the process to quantify the uncertainties of random input parameters based on experimental data. The introduction of model discrepancy term is significant because…

Applications · Statistics 2019-07-24 Xu Wu , Koroush Shirvan , Tomasz Kozlowski

Interatomic potentials are key to uncovering microscopic structure-property relationships, essential for multiscale simulations and high-throughput experiments. For metallic glasses, their disordered atomic structure makes the development…

Emergence of artificial intelligence techniques in biomedical applications urges the researchers to pay more attention on the uncertainty quantification (UQ) in machine-assisted medical decision making. For classification tasks, prior…

Machine Learning · Computer Science 2019-09-17 Xiaoyang Huang , Jiancheng Yang , Linguo Li , Haoran Deng , Bingbing Ni , Yi Xu

Standard deep learning methods, such as Ensemble Models, Bayesian Neural Networks and Quantile Regression Models provide estimates to prediction uncertainties for data-driven deep learning models. However, they can be limited in their…

Neural network (NN) potentials promise highly accurate molecular dynamics (MD) simulations within the computational complexity of classical MD force fields. However, when applied outside their training domain, NN potential predictions can…

Chemical Physics · Physics 2023-07-28 Stephan Thaler , Gregor Doehner , Julija Zavadlav

Large Language Models (LLMs) are increasingly assisting users in the real world, yet their reliability remains a concern. Uncertainty quantification (UQ) has been heralded as a tool to enhance human-LLM collaboration by enabling users to…

Computation and Language · Computer Science 2025-06-10 Siddartha Devic , Tejas Srinivasan , Jesse Thomason , Willie Neiswanger , Vatsal Sharan

Applications, ranging from tracking molecular motion within cells to analyzing complex animal foraging behavior, require algorithms for associating a collection of spot-like particles in one image with particles contained in another image.…

Quantitative Methods · Quantitative Biology 2013-04-23 Alexander Mont , Aubrey V. Wiegel , Diego Krapf , Christopher P. Calderon