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We propose the Vortex Particle Flow Map (VPFM) method to simulate incompressible flow with complex vortical evolution in the presence of dynamic solid boundaries. The core insight of our approach is that vorticity is an ideal quantity for…

Graphics · Computer Science 2025-05-29 Sinan Wang , Junwei Zhou , Fan Feng , Zhiqi Li , Yuchen Sun , Duowen Chen , Greg Turk , Bo Zhu

In hydrology, modeling streamflow remains a challenging task due to the limited availability of basin characteristics information such as soil geology and geomorphology. These characteristics may be noisy due to measurement errors or may be…

Despite their capabilities, Multimodal Large Language Models (MLLMs) may produce plausible but erroneous outputs, hindering reliable deployment. Accurate uncertainty metrics could enable escalation of unreliable queries to human experts or…

Artificial Intelligence · Computer Science 2026-03-02 Gregory Kang Ruey Lau , Hieu Dao , Nicole Kan Hui Lin , Bryan Kian Hsiang Low

Perfusion by the microcirculation is key to the development, maintenance and pathology of tissue. Its measurement with high spatiotemporal resolution is consequently valuable but remains a challenge in deep tissue. Ultrasound Localization…

Signal Processing · Electrical Eng. & Systems 2023-04-26 Kai Riemer , Matthieu Toulemonde , Jipeng Yan , Marcelo Lerendegui , Eleanor Stride , Peter D. Weinberg , Christopher Dunsby , Meng-Xing Tang

The present paper describes the development of a novel and comprehensive computational framework to simulate solidification problems in materials processing, specifically casting processes. Heat transfer, solidification and fluid flow due…

Numerical Analysis · Computer Science 2020-10-06 Shantanu Shahane , Narayana Aluru , Placid Ferreira , Shiv G Kapoor , Surya Pratap Vanka

Accurate classification of computed tomography (CT) images is essential for diagnosis and treatment planning, but existing methods often struggle with the subtle and spatially diverse nature of pathological features. Current approaches…

Image and Video Processing · Electrical Eng. & Systems 2025-07-21 Shravan Venkatraman , Pavan Kumar S , Rakesh Raj Madavan , Chandrakala S

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

The calibration of rheological parameters in the modeling of complex flows of non-Newtonian fluids can be a daunting task. In this paper we demonstrate how the framework of Uncertainty Quantification (UQ) can be used to improve the…

Fluid Dynamics · Physics 2023-07-11 Aricia Rinkens , Clemens V. Verhoosel , Nick O. Jaensson

To ensure safe clinical integration, deep learning models must provide more than just high accuracy; they require dependable uncertainty quantification. While current Medical Vision Transformers perform well, they frequently struggle with…

Image and Video Processing · Electrical Eng. & Systems 2026-04-13 Mohammed Maaz Sibhai , Abedalrhman Alkhateeb , Saad B. Ahmed

Fine-grained image classification remains challenging due to the large intra-class variance and small inter-class variance. Since the subtle visual differences are only in local regions of discriminative parts among subcategories, part…

Computer Vision and Pattern Recognition · Computer Science 2022-04-01 Runsheng Zhang , jian zhang , Yaping Huang , Qi Zou

Quantifying aleatoric uncertainty in medical image segmentation is critical since it is a reflection of the natural variability observed among expert annotators. A conventional approach is to model the segmentation distribution using the…

Computer Vision and Pattern Recognition · Computer Science 2026-04-08 Phi Van Nguyen , Ngoc Huynh Trinh , Duy Minh Lam Nguyen , Phu Loc Nguyen , Quoc Long Tran

Large Language Models (LLMs) have been transformative across many domains. However, hallucination, i.e., confidently outputting incorrect information, remains one of the leading challenges for LLMs. This raises the question of how to…

Computation and Language · Computer Science 2026-03-19 Toghrul Abbasli , Kentaroh Toyoda , Yuan Wang , Leon Witt , Muhammad Asif Ali , Yukai Miao , Dan Li , Qingsong Wei

Understanding boundary layer flows in high Reynolds number (Re) turbulence is crucial for advancing fluid dynamics in a wide range of applications, from improving aerodynamic efficiency in aviation to optimizing energy systems in industrial…

Fluid Dynamics · Physics 2024-11-11 Yinghe Qi , Wei Guo

Geothermal field modeling is often associated with uncertainties related to the subsurface static properties and the dynamics of fluid flow and heat transfer. Uncertainty quantification using simulations is a useful tool to design optimum…

Geophysics · Physics 2021-12-13 Hussein Hoteit , Xupeng He , Bicheng Yan , Volker Vahrenkam

In this second part of our two-part paper, we provide a detailed, frequentist framework for propagating uncertainties within our multivariate linear least squares model. This permits us to quantify the impact of uncertainties in…

Applications · Statistics 2019-08-09 Pranay Seshadri , Andrew Duncan , Duncan Simpson , George Thorne , Geoffrey Parks

We introduce a new technique to visualize complex flowing phenomena by using concepts from shape analysis. Our approach uses techniques that examine the intrinsic geometry of manifolds through their heat kernel, to obtain representations of…

Graphics · Computer Science 2020-05-01 Kairong Jiang , Matthew Berger , Joshua A. Levine

Experimental mean flows are commonly used to study wall-bounded turbulence. However, these measurements are often unable to resolve the near-wall region and thus introduce ambiguity in the velocity closest to the wall. This poses a source…

Fluid Dynamics · Physics 2025-11-04 Salvador Rey Gomez , Tomek Jaroslawski

Uncertainties from model parameters and model discrepancy from small-scale models impact the accuracy and reliability of predictions of large-scale systems. Inadequate representation of these uncertainties may result in inaccurate and…

Methodology · Statistics 2014-12-18 K. Sham Bhat , David S. Mebane , Curtis B. Storlie , Priyadarshi Mahapatra

Uncertainty estimation is critical for reliable medical image segmentation, particularly in retinal vessel analysis, where accurate predictions are essential for diagnostic applications. Deep Ensembles, where multiple networks are trained…

Computer Vision and Pattern Recognition · Computer Science 2025-09-16 Jeremiah Fadugba , Petru Manescu , Bolanle Oladejo , Delmiro Fernandez-Reyes , Philipp Berens

Recent studies have confirmed cardiovascular diseases remain responsible for highest death toll amongst non-communicable diseases. Accurate left ventricular (LV) volume estimation is critical for valid diagnosis and management of various…

Computer Vision and Pattern Recognition · Computer Science 2025-03-19 F. Terhag , P. Knechtges , A. Basermann , R. Tempone