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A surrogate model approximates the outputs of a solver of Partial Differential Equations (PDEs) with a low computational cost. In this article, we propose a method to build learning-based surrogates in the context of parameterized PDEs,…

Machine Learning · Computer Science 2024-06-28 Alejandro Ribés , Nawfal Benchekroun , Théo Delagnes

This work presents a non-intrusive surrogate modeling scheme based on machine learning technology for predictive modeling of complex systems, described by parametrized time-dependent PDEs. For these problems, typical finite element…

Numerical Analysis · Mathematics 2021-04-26 Stefanos Nikolopoulos , Ioannis Kalogeris , Vissarion Papadopoulos

Radar-based contactless cardiac monitoring has become a popular research direction recently, but the fine-grained electrocardiogram (ECG) signal is still hard to reconstruct from millimeter-wave radar signal. The key obstacle is to decouple…

Signal Processing · Electrical Eng. & Systems 2025-05-07 Yuanyuan Zhang , Runwei Guan , Lingxiao Li , Rui Yang , Yutao Yue , Eng Gee Lim

Background: Electrocardiograms are indispensable for diagnosing cardiovascular diseases, yet in many settings they exist only as paper printouts stored in multiple recording layouts. Converting these images into digital signals introduces…

An efficient strategy to construct physics-based local surrogate models for parametric linear elliptic problems is presented. The method relies on proper generalized decomposition (PGD) to reduce the dimensionality of the problem and on an…

Numerical Analysis · Mathematics 2025-12-03 Marco Discacciati , Ben J. Evans , Matteo Giacomini

Mesh-based simulations play a key role when modeling complex physical systems that, in many disciplines across science and engineering, require the solution of parametrized time-dependent nonlinear partial differential equations (PDEs). In…

Numerical Analysis · Mathematics 2023-08-04 Nicola Rares Franco , Stefania Fresca , Filippo Tombari , Andrea Manzoni

Anatomy shape modeling is a fundamental problem in medical data analysis. However, the geometric complexity and topological variability of anatomical structures pose significant challenges to accurate anatomical shape generation. In this…

Computer Vision and Pattern Recognition · Computer Science 2026-03-13 Guoqing Zhang , Jingyun Yang , Siqi Chen , Anping Zhang , Yang Li

Designing photonic integrated circuits requires accurate electromagnetic field simulations, which remain computationally expensive even for simple device geometries. We present PIC-Flow, a generative neural surrogate that predicts…

Optics · Physics 2026-05-11 Joseph Quaratiello , Anthony Rizzo

We propose a deep learning method to model and generate synthetic aortic shapes based on representing shapes as the zero-level set of a neural signed distance field, conditioned by a family of trainable embedding vectors with encode the…

Computer Vision and Pattern Recognition · Computer Science 2024-09-25 Andrei Gasparovici , Alex Serban

Real-time cognitive load assessment is essential for adaptive human-computer interaction but remains challenging due to limited labeled data and poor cross-subject generalization. Recent ECG foundation models pre-trained on millions of…

Machine Learning · Computer Science 2026-05-27 Amir Mousavi , Erfan Nourbakhsh , Mohammad Sadegh Sirjani , Mimi Xie , Rocky Slavin , Leslie Neely , John Davis , John Quarles

Computational fluid dynamics (CFD) models of blood flow in the left ventricle (LV) and aorta are important tools for analyzing the mechanistic links between myocardial deformation and flow patterns. Typically, the use of image-based…

An electrocardiogram (ECG) monitors the electrical activity generated by the heart and is used to detect fatal cardiovascular diseases (CVDs). Conventionally, to capture the precise electrical activity, clinical experts use multiple-lead…

Medical Physics · Physics 2023-07-24 Ekansh Chauhan , Swathi Guptha , Likith Reddy , Bapi Raju

The electrocardiogram (ECG) follows a characteristic shape, which has led to the development of several mathematical models for extracting clinically important information. Our main objective is to resolve limitations of previous…

Signal Processing · Electrical Eng. & Systems 2021-09-28 Carl Böck , Péter Kovács , Pablo Laguna , Jens Meier , Mario Huemer

Many physics and engineering applications demand Partial Differential Equations (PDE) property evaluations that are traditionally computed with resource-intensive high-fidelity numerical solvers. Data-driven surrogate models provide an…

Machine Learning · Computer Science 2023-12-18 Raphaël Pestourie , Youssef Mroueh , Chris Rackauckas , Payel Das , Steven G. Johnson

Modern computational methods, involving highly sophisticated mathematical formulations, enable several tasks like modeling complex physical phenomenon, predicting key properties and design optimization. The higher fidelity in these computer…

Computational Engineering, Finance, and Science · Computer Science 2023-04-13 Lele Luan , Nesar Ramachandra , Sandipp Krishnan Ravi , Anindya Bhaduri , Piyush Pandita , Prasanna Balaprakash , Mihai Anitescu , Changjie Sun , Liping Wang

Electrocardiogram (ECG) monitoring is one of the most powerful technique of cardiovascular disease (CVD) early identification, and the introduction of intelligent wearable ECG devices has enabled daily monitoring. However, due to the need…

Signal Processing · Electrical Eng. & Systems 2024-03-08 Hongxiang Gao , Xingyao Wang , Zhenghua Chen , Min Wu , Jianqing Li , Chengyu Liu

Mesh-based numerical solvers are an important part in many design tool chains. However, accurate simulations like computational fluid dynamics are time and resource consuming which is why surrogate models are employed to speed-up the…

Machine Learning · Computer Science 2023-07-27 Sebastian Strönisch , Maximilian Sander , Andreas Knüpfer , Marcus Meyer

Microstructure evolution, which plays a critical role in determining materials properties, is commonly simulated by the high-fidelity but computationally expensive phase-field method. To address this, we approximate microstructure evolution…

Materials Science · Physics 2024-11-22 Saurabh Tiwari , Prathamesh Satpute , Supriyo Ghosh

This paper proposes a low-cost and highly accurate ECG-monitoring system intended for personalized early arrhythmia detection for wearable mobile sensors. Earlier supervised approaches for personalized ECG monitoring require both abnormal…

Machine Learning · Computer Science 2024-08-23 Mehmet Yamaç , Mert Duman , İlke Adalıoğlu , Serkan Kiranyaz , Moncef Gabbouj

Electrocardiograms (ECGs) are among the most widely used diagnostic tools for cardiovascular diseases, and a large amount of ECG data worldwide appears only in image form. However, most existing automated ECG analysis methods rely on access…

Machine Learning · Computer Science 2026-04-03 Hung Manh Pham , Jialu Tang , Aaqib Saeed , Dong Ma , Bin Zhu , Pan Zhou