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Reduced order modeling has gained considerable attention in recent decades owing to the advantages offered in reduced computational times and multiple solutions for parametric problems. The focus of this manuscript is the application of…

Numerical Analysis · Mathematics 2018-11-21 Gianluigi Rozza , Haris Malik , Nicola Demo , Marco Tezzele , Michele Girfoglio , Giovanni Stabile , Andrea Mola

Abundant accumulation of digital histopathological images has led to the increased demand for their analysis, such as computer-aided diagnosis using machine learning techniques. However, digital pathological images and related tasks have…

Computer Vision and Pattern Recognition · Computer Science 2018-02-23 Daisuke Komura , Shumpei Ishikawa

Although larger datasets are crucial for training large deep models, the rapid growth of dataset size has brought a significant challenge in terms of considerable training costs, which even results in prohibitive computational expenses.…

Computer Vision and Pattern Recognition · Computer Science 2025-08-06 Sheng-Feng Yu , Jia-Jiun Yao , Wei-Chen Chiu

In this work we present an integrated computational pipeline involving several model order reduction techniques for industrial and applied mathematics, as emerging technology for product and/or process design procedures. Its data-driven…

Numerical Analysis · Mathematics 2022-04-05 Marco Tezzele , Nicola Demo , Andrea Mola , Gianluigi Rozza

The development of deep learning algorithms has extensively empowered humanity's task automatization capacity. However, the huge improvement in the performance of these models is highly correlated with their increasing level of complexity,…

Computer Vision and Pattern Recognition · Computer Science 2024-01-19 Eduarda Caldeira , Pedro C. Neto , Marco Huber , Naser Damer , Ana F. Sequeira

Partial Differential Equations (PDEs) have long been recognized as powerful tools for image processing and analysis, providing a framework to model and exploit structural and geometric properties inherent in visual data. Over the years,…

Image and Video Processing · Electrical Eng. & Systems 2024-12-17 Alejandro Garnung Menéndez

Motivation: There is a growing need to integrate mechanistic models of biological processes with computational methods in healthcare in order to improve prediction. We apply data assimilation in the context of Type 2 diabetes to understand…

Probabilistic Circuits (PCs) are a promising avenue for probabilistic modeling. They combine advantages of probabilistic graphical models (PGMs) with those of neural networks (NNs). Crucially, however, they are tractable probabilistic…

Machine Learning · Computer Science 2021-06-07 Anji Liu , Guy Van den Broeck

In spite of the strong performance of machine learning (ML) models in radiology, they have not been widely accepted by radiologists, limiting clinical integration. A key reason is the lack of explainability, which ensures that model…

Human-Computer Interaction · Computer Science 2026-04-14 Sara Ketabi , Matthias W. Wagner , Birgit Betina Ertl-Wagner , Greg A. Jamieson , Farzad Khalvati

Medical image analysis faces significant challenges in data sharing due to privacy regulations and complex institutional protocols. Dataset distillation offers a solution to address these challenges by synthesizing compact datasets that…

Computer Vision and Pattern Recognition · Computer Science 2025-09-30 Le Dong , Jinghao Bian , Jingyang Hou , Jingliang Hu , Yilei Shi , Weisheng Dong , Xiao Xiang Zhu , Lichao Mou

High-fidelity modeling of blood flow is crucial for enhancing our understanding of cardiovascular disease. Despite significant advances in computational and experimental characterization of blood flow, the knowledge that we can acquire from…

Computational Physics · Physics 2021-06-08 Amirhossein Arzani , Scott T. M. Dawson

Many clinical deep learning algorithms are population-based and difficult to interpret. Such properties limit their clinical utility as population-based findings may not generalize to individual patients and physicians are reluctant to…

Signal Processing · Electrical Eng. & Systems 2020-12-01 Dani Kiyasseh , Tingting Zhu , David A. Clifton

Diffusion models (DMs) have recently been introduced as a regularizing prior for PET image reconstruction, integrating DMs trained on high-quality PET images with unsupervised schemes that condition on measured data. While these approaches…

Medical Physics · Physics 2026-03-18 George Webber , Alexander Hammers , Andrew P King , Andrew J Reader

As metabolomics datasets are becoming larger and more complex, there is an increasing need for model-based data integration and analysis to optimally leverage these data. Dynamical models of metabolism allow for the integration of…

Quantitative Methods · Quantitative Biology 2023-11-29 Polina Lakrisenko , Daniel Weindl

Dissipative particle dynamics (DPD) is now a well-established method for simulating soft matter systems. However, its applicability was recently questioned because some investigations showed an upper coarse-graining limit that would prevent…

Soft Condensed Matter · Physics 2011-11-09 Rudolf M. Füchslin , Harold Fellermann , Anders Eriksson , Hans-Joachim Ziock

Objective: In this review, we aim to provide an analysis of current cardiac ablation techniques, such as radiofrequency ablation (RF), cryoablation, and pulsed-field ablation (PFA), with a focus on the role of computational modeling in…

Dataset distillation (DD) is an increasingly important technique that focuses on constructing a synthetic dataset capable of capturing the core information in training data to achieve comparable performance in models trained on the latter.…

Machine Learning · Computer Science 2024-09-04 Vyacheslav Kungurtsev , Yuanfang Peng , Jianyang Gu , Saeed Vahidian , Anthony Quinn , Fadwa Idlahcen , Yiran Chen

Current psychiatric research is in crisis. In this review I will describe the causes of this crisis and highlight recent efforts to overcome current challenges. One particularly promising approach is the emerging field of computational…

Neurons and Cognition · Quantitative Biology 2013-03-25 Thomas V. Wiecki

Existing burn resuscitation protocols exhibit large variability in treatment efficacy. Hence, they must be further optimized based on comprehensive knowledge of burn pathophysiology. A physics-based mathematical model that can replicate…

Tissues and Organs · Quantitative Biology 2021-10-28 Ghazal ArabiDarrehDor , Ali Tivay , Chris Meador , George C. Kramer , Jin-Oh Hahn , Jose Salinas

A mathematical model for fluid and solute transport in peritoneal dialysis is constructed. The model is based on a three-component nonlinear system of two-dimensional partial differential equations for fluid, glucose and albumin transport…

Tissues and Organs · Quantitative Biology 2015-07-08 R. Cherniha , J. Stachowska-Pietka , J. Waniewski