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In the present work, a rate-dependent cohesive zone model for the fracture of polymeric interfaces is presented. Inverse calibration of parameters for such complex models through trial and error is computationally tedious due to the large…

Computational Engineering, Finance, and Science · Computer Science 2023-11-15 Ponkrshnan Thiagarajan , Trisha Sain , Susanta Ghosh

In this paper, we approach the problem of uncertainty quantification in deep learning through a predictive framework, which captures uncertainty in model parameters by specifying our assumptions about the predictive distribution of unseen…

Machine Learning · Statistics 2024-03-20 Luhuan Wu , Sinead Williamson

Quantifying uncertainty is important for actionable predictions in real-world applications. A crucial part of predictive uncertainty quantification is the estimation of epistemic uncertainty, which is defined as an integral of the product…

Machine Learning · Computer Science 2023-10-25 Kajetan Schweighofer , Lukas Aichberger , Mykyta Ielanskyi , Günter Klambauer , Sepp Hochreiter

The Intensive Care Unit (ICU) is a hospital department where machine learning has the potential to provide valuable assistance in clinical decision making. Classical machine learning models usually only provide point-estimates and no…

Machine Learning · Computer Science 2024-07-26 David Ruhe , Giovanni Cinà , Michele Tonutti , Daan de Bruin , Paul Elbers

Machine learning interatomic potentials (MLIPs) enable atomistic simulations with near first-principles accuracy at substantially reduced computational cost, making them powerful tools for large-scale materials modeling. The accuracy of…

Materials Science · Physics 2025-08-11 Yonatan Kurniawan , Mingjian Wen , Ellad B. Tadmor , Mark K. Transtrum

This study presents a novel approach to quantifying uncertainties in Bayesian model updating, which is effective in sparse or single observations. Conventional uncertainty quantification metrics such as the Euclidean and Bhattacharyya…

Applications · Statistics 2024-10-14 Sangwon Lee , Taro Yaoyama , Yuma Matsumoto , Takenori Hida , Tatsuya Itoi

Uncertainty quantification in inverse medical imaging tasks with deep learning has received little attention. However, deep models trained on large data sets tend to hallucinate and create artifacts in the reconstructed output that are not…

Image and Video Processing · Electrical Eng. & Systems 2020-08-21 Max-Heinrich Laves , Malte Tölle , Tobias Ortmaier

This article deals with the fusion of flaw detections from multi-sensor nondestructive materials testing. Because each testing method makes use of different physical effects for defect localization, a multi-method approach is promising to…

Computational Engineering, Finance, and Science · Computer Science 2015-07-01 René Heideklang , Parisa Shokouhi

It is well known that Boussinesq turbulent-viscosity hypothesis can introduce uncertainty in predictions for complex flow features such as separation, reattachment, and laminar-turbulent transition. This study adopts a recent physics-based…

Fluid Dynamics · Physics 2022-10-19 Minghan Chu , Xiaohua Wu , David E. Rival

The expected growth in wind energy capacity requires efficient and accurate models for wind farm layout optimization, control, and annual energy predictions. Although analytical wake models are widely used for these applications, several…

Fluid Dynamics · Physics 2023-02-16 Frederik Aerts , Luca Lanzilao , Johan Meyers

We introduce a computational efficient data-driven framework suitable for quantifying the uncertainty in physical parameters and model formulation of computer models, represented by differential equations. We construct physics-informed…

Machine Learning · Statistics 2023-02-01 Michail Spitieris , Ingelin Steinsland

Efficiently performing predictive studies of irradiated particle-laden turbulent flows has the potential of providing significant contributions towards better understanding and optimizing, for example, concentrated solar power systems. As…

Computational Physics · Physics 2018-08-20 Hillary R. Fairbanks , Lluis Jofre , Gianluca Geraci , Gianluca Iaccarino , Alireza Doostan

Laser Powder Bed Fusion (L-PBF) is a widely adopted additive manufacturing process for fabricating complex metallic parts layer by layer. Effective thermal management is essential to ensure part quality and structural integrity, as thermal…

Systems and Control · Electrical Eng. & Systems 2025-09-22 Yukta Pareek , Abdul Malik Al Mardhouf Al Saadi , Amrita Basak , Satadru Dey

In a Bayesian setting, inverse problems and uncertainty quantification (UQ) --- the propagation of uncertainty through a computational (forward) model --- are strongly connected. In the form of conditional expectation the Bayesian update…

A Bayesian analytics framework that precisely quantifies uncertainty offers a significant advance for financial risk management. We develop an integrated approach that consistently enhances the handling of risk in market volatility…

Risk Management · Quantitative Finance 2025-12-19 Sharif Al Mamun , Rakib Hossain , Md. Jobayer Rahman , Malay Kumar Devnath , Farhana Afroz , Lisan Al Amin

Reliable uncertainty quantification is crucial for trustworthy decision-making and the deployment of AI models in medical imaging. While prior work has explored the ability of neural networks to quantify predictive, epistemic, and aleatoric…

Machine Learning · Statistics 2025-08-07 Simon Baur , Wojciech Samek , Jackie Ma

In many fields of science, comprehensive and realistic computational models are available nowadays. Often, the respective numerical calculations call for the use of powerful supercomputers, and therefore only a limited number of cases can…

Computational Physics · Physics 2022-11-22 Ionut-Gabriel Farcas , Gabriele Merlo , Frank Jenko

Uncertainty-quantification methods are applied to estimate the confidence of deep-neural-networks classifiers over their predictions. However, most widely used methods are known to be overconfident. We address this problem by developing an…

Machine Learning · Computer Science 2023-05-19 Luigi Sbailò , Luca M. Ghiringhelli

Configurable software systems are employed in many important application domains. Understanding the performance of the systems under all configurations is critical to prevent potential performance issues caused by misconfiguration. However,…

Software Engineering · Computer Science 2022-12-29 Huong Ha , Zongwen Fan , Hongyu Zhang

In this paper, we use the Bayesian inversion approach to study the data assimilation problem for a family of tumor growth models described by porous-medium type equations. The models contain uncertain parameters and are indexed by a…

Numerical Analysis · Mathematics 2024-02-14 Yu Feng , Liu Liu , Zhennan Zhou
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