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A digital twin is a virtual representation that accurately replicates its physical counterpart, fostering bi-directional real-time data exchange throughout the entire process lifecycle. For Laser Directed Energy Deposition of Wire…

Computational Engineering, Finance, and Science · Computer Science 2024-12-05 Maximilian Kannapinn , Fabian Roth , Oliver Weeger

Understanding user identity and behavior is central to applications such as personalization, recommendation, and decision support. Most existing approaches rely on deterministic embeddings or black-box predictive models, offering limited…

Machine Learning · Computer Science 2025-12-23 Daniel David

Digital twins of sensory cortex serve as powerful response oracles. Although prediction accuracy is the central metric by which these models are evaluated, it provides limited insight into the latent representations that support those…

Neurons and Cognition · Quantitative Biology 2026-05-28 Adriano Lima , Yuchen Hou , Michael Beyeler , Marius Schneider

A digital twin is a surrogate model that has the main feature to mirror the original process behavior. Associating the dynamical process with a digital twin model of reduced complexity has the significant advantage to map the dynamics with…

Numerical Analysis · Mathematics 2024-03-19 Diana Alina Bistrian , Omer San , Ionel Michael Navon

Central to the digital transformation of the process industry are Digital Twins (DTs), virtual replicas of physical manufacturing systems that combine sensor data with sophisticated data-based or physics-based models, or a combination…

Machine Learning · Computer Science 2024-07-03 Michael Mayr , Georgios C. Chasparis , Josef Küng

Digital twins, as precise digital representations of physical systems, have evolved from passive simulation tools into intelligent and autonomous entities through the integration of artificial intelligence technologies. This paper presents…

Digital Twin was introduced over a decade ago, as an innovative all-encompassing tool, with perceived benefits including real-time monitoring, simulation and forecasting. However, the theoretical framework and practical implementations of…

Machine Learning · Computer Science 2020-12-07 Angira Sharma , Edward Kosasih , Jie Zhang , Alexandra Brintrup , Anisoara Calinescu

The development of Digital Twins (DTs) represents a transformative advance for simulating and optimizing complex systems in a controlled digital space. Despite their potential, the challenge of constructing DTs that accurately replicate and…

Systems and Control · Electrical Eng. & Systems 2024-06-21 Longfei Ma , Nan Cheng , Xiucheng Wang , Jiong Chen , Yinjun Gao , Dongxiao Zhang , Jun-Jie Zhang

Surrogate modeling has brought about a revolution in computation in the branches of science and engineering. Backed by Artificial Intelligence, a surrogate model can present highly accurate results with a significant reduction in…

Artificial Intelligence · Computer Science 2022-10-17 Abid Hossain Khan , Salauddin Omar , Nadia Mushtary , Richa Verma , Dinesh Kumar , Syed Alam

Digital twins are transforming engineering and applied sciences by enabling real-time monitoring, simulation, and predictive analysis of physical systems and processes. However, conventional digital twins rely primarily on passive data…

Computational Engineering, Finance, and Science · Computer Science 2026-03-31 Matteo Torzoni , Domenico Maisto , Andrea Manzoni , Francesco Donnarumma , Giovanni Pezzulo , Alberto Corigliano

Digital Twins (DTs) are computational models that simulate the states and temporal dynamics of real-world systems, playing a crucial role in prediction, understanding, and decision-making across diverse domains. However, existing approaches…

Machine Learning · Computer Science 2024-11-01 Samuel Holt , Tennison Liu , Mihaela van der Schaar

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

The report describes the discussions from the Workshop on Mathematical Opportunities in Digital Twins (MATH-DT) from December 11-13, 2023, George Mason University. It illustrates that foundational Mathematical advances are required for…

Optimization and Control · Mathematics 2024-03-25 Harbir Antil

Neural Operator Networks (ONets) represent a novel advancement in machine learning algorithms, offering a robust and generalizable alternative for approximating partial differential equations (PDEs) solutions. Unlike traditional Neural…

Machine Learning · Computer Science 2024-04-30 Kazuma Kobayashi , James Daniell , Syed Bahauddin Alam

Digital twins are sophisticated software systems for the representation, monitoring, and control of cyber-physical systems, including automotive, avionics, smart manufacturing, and many more. Existing definitions and reference models of…

Software Engineering · Computer Science 2025-07-08 Jerome Pfeiffer , Jingxi Zhang , Benoit Combemale , Judith Michael , Bernhard Rumpe , Manuel Wimmer , Andreas Wortmann

The spatiotemporal resolution of Partial Differential Equations (PDEs) plays important roles in the mathematical description of the world's physical phenomena. In general, scientists and engineers solve PDEs numerically by the use of…

Artificial Intelligence · Computer Science 2023-06-29 Lucas Meyer , Marc Schouler , Robert Alexander Caulk , Alejandro Ribés , Bruno Raffin

Soil and groundwater contamination is a pervasive problem at thousands of locations across the world. Contaminated sites often require decades to remediate or to monitor natural attenuation. Climate change exacerbates the long-term site…

Digital Twins (DTs) are virtual representations of physical systems synchronized in real time through Internet of Things (IoT) sensors and computational models. In industrial applications, DTs enable predictive maintenance, fault diagnosis,…

Other Computer Science · Computer Science 2025-07-18 Ali Mohammad-Djafari

A digital twin can be defined as an adaptive model of a complex physical system. Recent advances in computational pipelines, multiphysics solvers, artificial intelligence, big data cybernetics, data processing and management tools bring the…

Signal Processing · Electrical Eng. & Systems 2019-10-07 Adil Rasheed , Omer San , Trond Kvamsdal

Digital Twins are digital replica of real entities and are becoming fundamental tools to monitor and control the status of entities, predict their future evolutions, and simulate alternative scenarios to understand the impact of changes.…

Computers and Society · Computer Science 2023-09-26 Lorenzo Adreani , Pierfrancesco Bellini , Marco Fanfani , Paolo Nesi , Gianni Pantaleo
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