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Recent technological advances have expanded the availability of high-throughput biological datasets, enabling the reliable design of digital twins of biomedical systems or patients. Such computational tools represent key reaction networks…

Quantitative Methods · Quantitative Biology 2025-09-03 Clémence Métayer , Annabelle Ballesta , Julien Martinelli

Personalized virtual heart models have demonstrated increasing potential for clinical use, although the estimation of their parameters given patient-specific data remain a challenge. Traditional physics-based modeling approaches are…

Signal Processing · Electrical Eng. & Systems 2024-03-26 Xiajun Jiang , Sumeet Vadhavkar , Yubo Ye , Maryam Toloubidokhti , Ryan Missel , Linwei Wang

We introduce a data-driven framework to automatically identify interpretable and physically meaningful hyperelastic constitutive models from sparse data. Leveraging symbolic regression, an algorithm based on genetic programming, our…

Symbolic Computation · Computer Science 2025-01-14 Jixin Hou , Xianyan Chen , Taotao Wu , Ellen Kuhl , Xianqiao Wang

Cardiovascular disease is the leading global cause of mortality, with coronary artery disease (CAD) as its most prevalent form, necessitating early risk prediction. While 3D coronary artery digital twins reconstructed from imaging offer…

Complex networks describe important structures in nature and society, composed of nodes and the edges that connect them. The evolution of these networks is typically described by dynamics, which are labor-intensive and require expert…

Machine Learning · Computer Science 2024-10-16 Haiquan Qiu , Shuzhi Liu , Quanming Yao

Physics-informed neural networks have emerged as a powerful tool in the scientific machine learning community, with applications to both forward and inverse problems. While they have shown considerable empirical success, significant…

Optimization and Control · Mathematics 2025-12-11 Federica Caforio , Martin Holler , Matthias Höfler

A data-driven computational method is introduced to extract chemical reaction mechanisms from time series chemical concentration data. It is realized through the use of dynamic symbolic regression in which a sparse analytical form for a…

Chemical Physics · Physics 2026-02-13 Manuel Palma Banos , Joel D. Kress , Rigoberto Hernandez , Galen T. Craven

In science, we are interested not only in forecasting but also in understanding how predictions are made, specifically what the interpretable underlying model looks like. Data-driven machine learning technology can significantly streamline…

Symbolic Computation · Computer Science 2025-05-29 Weiting Liu , Jiaxu Cui , Jiao Hu , En Wang , Bo Yang

Physics-based digital twins aim to predict the dynamics of real-world objects under interaction, enabling real-to-sim-to-real applications in robotics. Current approaches reconstruct such twins as explicit physical models (such as…

Robotics · Computer Science 2026-05-11 Yixiong Jing , Xingyuan Chen , Guangming Wang , Olaf Wysocki , Haibing Wu , Brian Sheil

Active stress models in cardiac biomechanics account for the mechanical deformation caused by muscle activity, thus providing a link between the electrophysiological and mechanical properties of the tissue. The accurate assessment of active…

Many real-world systems can be described by mathematical models that are human-comprehensible, easy to analyze and help explain the system's behavior. Symbolic regression is a method that can automatically generate such models from data.…

Neural and Evolutionary Computing · Computer Science 2023-06-28 Jiří Kubalík , Erik Derner , Robert Babuška

Symbolic Regression is the study of algorithms that automate the search for analytic expressions that fit data. While recent advances in deep learning have generated renewed interest in such approaches, the development of symbolic…

Instrumentation and Methods for Astrophysics · Physics 2023-12-27 Wassim Tenachi , Rodrigo Ibata , Foivos I. Diakogiannis

Digital twins for power electronics require accurate power losses whose direct measurements are often impractical or impossible in real-world applications. This paper presents a novel hybrid framework that combines physics-based thermal…

Systems and Control · Electrical Eng. & Systems 2025-04-10 Mattia Scarpa , Francesco Pase , Ruggero Carli , Mattia Bruschetta , Franscesco Toso

A digital twin is a computer model that represents an individual, for example, a component, a patient or a process. In many situations, we want to gain knowledge about an individual from its data while incorporating imperfect physical…

Machine Learning · Statistics 2023-05-03 Michail Spitieris , Ingelin Steinsland

Calibration of dynamic models to data is an important step in building building digital twins of HVAC equipment, thermal loads and control systems. Sometimes, when a model fails to calibrate to data, a possible cause is that the model has…

Computational Engineering, Finance, and Science · Computer Science 2026-03-18 Sebastian Micluta-Campeanu , Avinash Subramanian , Anas Abdelrehim , Ranjan Anantharaman , Rohit Dhumane , Brad Carman , Chris Rackauckas

The development of biophysical models for clinical applications is rapidly advancing in the research community, thanks to their predictive nature and their ability to assist the interpretation of clinical data. However, high-resolution and…

A CFD-driven deterministic symbolic identification algorithm for learning explicit algebraic Reynolds-stress models (EARSM) from high-fidelity data is developed building on the frozen-training SpaRTA algorithm of [1]. Corrections for the…

Fluid Dynamics · Physics 2022-03-14 I. Ben Hassan SaÏdi , M. Schmelzer , P. Cinnella , F. Grasso

In this study, we investigate the potential of fast-to-evaluate surrogate modeling techniques for developing a hybrid digital twin of a steel-reinforced concrete beam, serving as a representative example of a civil engineering structure. As…

Computational Engineering, Finance, and Science · Computer Science 2024-12-10 Tarik Sahin , Daniel Wolff , Max von Danwitz , Alexander Popp

Symbolic regression has recently gained traction in AI-driven scientific discovery, aiming to recover explicit closed-form expressions from data that reveal underlying physical laws. Despite recent advances, existing methods remain…

Methodology · Statistics 2026-03-02 Somjit Roy , Pritam Dey , Bani K. Mallick

Computational modeling is a key resource to gather insight into physical systems in modern scientific research and engineering. While access to large amount of data has fueled the use of Machine Learning (ML) to recover physical models from…

Machine Learning · Computer Science 2023-12-06 Simone Manti , Alessandro Lucantonio
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