{"id":4997,"date":"2026-04-02T18:45:08","date_gmt":"2026-04-02T16:45:08","guid":{"rendered":"https:\/\/people.sissa.it\/~grozza\/?page_id=4997"},"modified":"2026-04-08T15:46:41","modified_gmt":"2026-04-08T13:46:41","slug":"vision","status":"publish","type":"page","link":"https:\/\/people.sissa.it\/~grozza\/vision\/","title":{"rendered":"Vision"},"content":{"rendered":"\n<h1>\u00a0<\/h1>\n<h1 style=\"text-align: center;\"><span style=\"color: #09569a;\">The Digital Twin Paradigm<\/span><\/h1>\n<p><span style=\"font-weight: 400;\">In a world increasingly shaped by the green and digital transitions, many scientific and technological systems are becoming more complex, data-rich and dynamically interconnected. This evolution raises several scientific questions:<\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">How can complex systems be simulated in real time?<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">How can models evolve continuously through data?<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">How can uncertainty be quantified and propagated?<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">How can large-scale simulations remain sustainable?<\/span><\/li>\n<\/ul>\n<p><a href=\"https:\/\/people.sissa.it\/~grozza\/wp-content\/uploads\/2026\/04\/RozzaGroup_img_2A_digital-twin.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\" wp-image-4999 alignright\" src=\"https:\/\/people.sissa.it\/~grozza\/wp-content\/uploads\/2026\/04\/RozzaGroup_img_2A_digital-twin-620x413.jpg\" alt=\"\" width=\"336\" height=\"224\" srcset=\"https:\/\/people.sissa.it\/~grozza\/wp-content\/uploads\/2026\/04\/RozzaGroup_img_2A_digital-twin-620x413.jpg 620w, https:\/\/people.sissa.it\/~grozza\/wp-content\/uploads\/2026\/04\/RozzaGroup_img_2A_digital-twin-940x627.jpg 940w, https:\/\/people.sissa.it\/~grozza\/wp-content\/uploads\/2026\/04\/RozzaGroup_img_2A_digital-twin-300x200.jpg 300w, https:\/\/people.sissa.it\/~grozza\/wp-content\/uploads\/2026\/04\/RozzaGroup_img_2A_digital-twin-768x512.jpg 768w, https:\/\/people.sissa.it\/~grozza\/wp-content\/uploads\/2026\/04\/RozzaGroup_img_2A_digital-twin-24x16.jpg 24w, https:\/\/people.sissa.it\/~grozza\/wp-content\/uploads\/2026\/04\/RozzaGroup_img_2A_digital-twin-36x24.jpg 36w, https:\/\/people.sissa.it\/~grozza\/wp-content\/uploads\/2026\/04\/RozzaGroup_img_2A_digital-twin-48x32.jpg 48w, https:\/\/people.sissa.it\/~grozza\/wp-content\/uploads\/2026\/04\/RozzaGroup_img_2A_digital-twin.jpg 1080w\" sizes=\"auto, (max-width: 336px) 100vw, 336px\" \/><\/a><\/p>\n<p><span style=\"font-weight: 400;\">The common answer to these questions lies in the paradigm that guides a large part of the Rozza Group\u2019s research activity: <\/span><b>digital twins<\/b><span style=\"font-weight: 400;\">.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">A digital twin can be understood as a virtual representation of a physical system, continuously updated through the integration of data, simulations, and observations. Unlike conventional computational models, digital twins are designed to evolve together with the system they represent, enabling continuous calibration, predictive analysis, and scenario exploration.<\/span><\/p>\n<p><span style=\"color: #999999;\"><em>Image by Wartsila<\/em><\/span><\/p>\n<p>\u00a0<\/p>\n<h1 style=\"text-align: center;\"><span style=\"color: #09569a;\">Scientific Challenges of Digital Twins<\/span><\/h1>\n<p><span style=\"font-weight: 400;\">The development of digital twins is a multi-disciplinary challenge involving mathematical modeling, scientific computing, data analysis, and real-time prediction. Building reliable and adaptive digital twins requires addressing several interconnected scientific and computational issues emerging across several application domains, including aerospace, naval engineering, energy, manufacturing, biomedicine, and environmental sciences.<\/span><\/p>\n<p>\u00a0<\/p>\n<h3><span style=\"color: #09569a;\">1. Generalization<\/span><\/h3>\n<p><span style=\"font-weight: 400;\">Digital twins must remain predictive when operating conditions, parameters, or system configurations change over time. Models trained on limited datasets often struggle to extrapolate reliably beyond the scenarios already observed.<\/span><\/p>\n<p>\u00a0<\/p>\n<h3><span style=\"color: #09569a;\">2. Data Integration<\/span><\/h3>\n<p><span style=\"font-weight: 400;\">Digital twins rely on data generated by simulations, experiments, and operational systems, often characterized by different formats, resolutions, and time scales. Such heterogeneous information sources must be integrated into a coherent representation.<\/span><\/p>\n<p>\u00a0<\/p>\n<h3><span style=\"color: #09569a;\">3. Scalability<\/span><\/h3>\n<p><span style=\"font-weight: 400;\">As digital twins become more detailed and data-intensive, the computational cost of simulations, updates, and analyses rapidly increases. Workflows must remain efficient even when involving large-scale multiphysics models or real-time constraints.<\/span><\/p>\n<p>\u00a0<\/p>\n<h3><span style=\"color: #09569a;\">4. Fidelity Preservation<\/span><\/h3>\n<p><span style=\"font-weight: 400;\">Reducing the complexity of a computational model often risks losing relevant features, effects, or dependencies. The challenge is to maintain the essential behaviour of the original system while making repeated evaluations computationally feasible.<\/span><\/p>\n<p>\u00a0<\/p>\n<h3><span style=\"color: #09569a;\">5. Uncertainty Propagation<\/span><\/h3>\n<p><span style=\"font-weight: 400;\">Uncertainty may originate from incomplete data, uncertain parameters, noisy measurements, or modelling assumptions. Understanding how these uncertainties affect predictions is essential for assessing the reliability of a digital twin.<\/span><\/p>\n<p>\u00a0<\/p>\n<h1 style=\"text-align: center;\"><span style=\"color: #09569a;\">Methodological Pillars of Digital Twins<\/span><\/h1>\n<p><span style=\"font-weight: 400;\">From a scientific perspective, the development of digital twins requires the integration of different components from various research areas. This makes digital twins not only an application domain, but also a unifying research framework in which several methodological and technological challenges converge.<\/span><\/p>\n<table style=\"width: 100%; border-collapse: collapse;\" border=\"0\" cellpadding=\"10\">\n<tbody>\n<tr>\n<td style=\"width: 33.2143%;\">\n<h3><a href=\"https:\/\/people.sissa.it\/~grozza\/wp-content\/uploads\/2026\/04\/RozzaGroup_icon_2A_AI.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-5000\" src=\"https:\/\/people.sissa.it\/~grozza\/wp-content\/uploads\/2026\/04\/RozzaGroup_icon_2A_AI.png\" alt=\"\" width=\"100\" height=\"100\" srcset=\"https:\/\/people.sissa.it\/~grozza\/wp-content\/uploads\/2026\/04\/RozzaGroup_icon_2A_AI.png 600w, https:\/\/people.sissa.it\/~grozza\/wp-content\/uploads\/2026\/04\/RozzaGroup_icon_2A_AI-300x300.png 300w, https:\/\/people.sissa.it\/~grozza\/wp-content\/uploads\/2026\/04\/RozzaGroup_icon_2A_AI-24x24.png 24w, https:\/\/people.sissa.it\/~grozza\/wp-content\/uploads\/2026\/04\/RozzaGroup_icon_2A_AI-36x36.png 36w, https:\/\/people.sissa.it\/~grozza\/wp-content\/uploads\/2026\/04\/RozzaGroup_icon_2A_AI-48x48.png 48w, https:\/\/people.sissa.it\/~grozza\/wp-content\/uploads\/2026\/04\/RozzaGroup_icon_2A_AI-45x45.png 45w\" sizes=\"auto, (max-width: 100px) 100vw, 100px\" \/><\/a><\/h3>\n<h3><span style=\"color: #f59c00;\">Artificial Intelligence<\/span><\/h3>\n<p><span style=\"font-weight: 400;\">Artificial intelligence provides methods to identify latent structures, infer nonlinear relations, and enhance predictive capabilities where data are partial or evolving.<\/span><\/p>\n<\/td>\n<td style=\"width: 33.4523%;\">\n<h3><a href=\"https:\/\/people.sissa.it\/~grozza\/wp-content\/uploads\/2026\/04\/RozzaGroup_icon_2A_BigData.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-5001\" src=\"https:\/\/people.sissa.it\/~grozza\/wp-content\/uploads\/2026\/04\/RozzaGroup_icon_2A_BigData.png\" alt=\"\" width=\"100\" height=\"100\" srcset=\"https:\/\/people.sissa.it\/~grozza\/wp-content\/uploads\/2026\/04\/RozzaGroup_icon_2A_BigData.png 600w, https:\/\/people.sissa.it\/~grozza\/wp-content\/uploads\/2026\/04\/RozzaGroup_icon_2A_BigData-300x300.png 300w, https:\/\/people.sissa.it\/~grozza\/wp-content\/uploads\/2026\/04\/RozzaGroup_icon_2A_BigData-24x24.png 24w, https:\/\/people.sissa.it\/~grozza\/wp-content\/uploads\/2026\/04\/RozzaGroup_icon_2A_BigData-36x36.png 36w, https:\/\/people.sissa.it\/~grozza\/wp-content\/uploads\/2026\/04\/RozzaGroup_icon_2A_BigData-48x48.png 48w, https:\/\/people.sissa.it\/~grozza\/wp-content\/uploads\/2026\/04\/RozzaGroup_icon_2A_BigData-45x45.png 45w\" sizes=\"auto, (max-width: 100px) 100vw, 100px\" \/><\/a><\/h3>\n<h3><span style=\"color: #f59c00;\">Big Data<\/span><\/h3>\n<p><span style=\"font-weight: 400;\">Big data refers to the infrastructures, workflows, and analytical frameworks required to acquire, organize, and process large-scale data streams.<\/span><\/p>\n<\/td>\n<td style=\"width: 33.3333%;\">\n<h3><a href=\"https:\/\/people.sissa.it\/~grozza\/wp-content\/uploads\/2026\/04\/RozzaGroup_icon_2A_HPC.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-5002\" src=\"https:\/\/people.sissa.it\/~grozza\/wp-content\/uploads\/2026\/04\/RozzaGroup_icon_2A_HPC.png\" alt=\"\" width=\"100\" height=\"100\" srcset=\"https:\/\/people.sissa.it\/~grozza\/wp-content\/uploads\/2026\/04\/RozzaGroup_icon_2A_HPC.png 600w, https:\/\/people.sissa.it\/~grozza\/wp-content\/uploads\/2026\/04\/RozzaGroup_icon_2A_HPC-300x300.png 300w, https:\/\/people.sissa.it\/~grozza\/wp-content\/uploads\/2026\/04\/RozzaGroup_icon_2A_HPC-24x24.png 24w, https:\/\/people.sissa.it\/~grozza\/wp-content\/uploads\/2026\/04\/RozzaGroup_icon_2A_HPC-36x36.png 36w, https:\/\/people.sissa.it\/~grozza\/wp-content\/uploads\/2026\/04\/RozzaGroup_icon_2A_HPC-48x48.png 48w, https:\/\/people.sissa.it\/~grozza\/wp-content\/uploads\/2026\/04\/RozzaGroup_icon_2A_HPC-45x45.png 45w\" sizes=\"auto, (max-width: 100px) 100vw, 100px\" \/><\/a><\/h3>\n<h3><span style=\"color: #f59c00;\">High Performance Computing<\/span><\/h3>\n<p><span style=\"font-weight: 400;\">HPC enables the execution of demanding numerical tasks through advanced parallel architectures and distributed computing strategies.<\/span><\/p>\n<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 33.2143%;\">\n<h3><a href=\"https:\/\/people.sissa.it\/~grozza\/wp-content\/uploads\/2026\/04\/RozzaGroup_icon_2A_SurrogateModeling.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-5003\" src=\"https:\/\/people.sissa.it\/~grozza\/wp-content\/uploads\/2026\/04\/RozzaGroup_icon_2A_SurrogateModeling.png\" alt=\"\" width=\"100\" height=\"100\" srcset=\"https:\/\/people.sissa.it\/~grozza\/wp-content\/uploads\/2026\/04\/RozzaGroup_icon_2A_SurrogateModeling.png 600w, https:\/\/people.sissa.it\/~grozza\/wp-content\/uploads\/2026\/04\/RozzaGroup_icon_2A_SurrogateModeling-300x300.png 300w, https:\/\/people.sissa.it\/~grozza\/wp-content\/uploads\/2026\/04\/RozzaGroup_icon_2A_SurrogateModeling-24x24.png 24w, https:\/\/people.sissa.it\/~grozza\/wp-content\/uploads\/2026\/04\/RozzaGroup_icon_2A_SurrogateModeling-36x36.png 36w, https:\/\/people.sissa.it\/~grozza\/wp-content\/uploads\/2026\/04\/RozzaGroup_icon_2A_SurrogateModeling-48x48.png 48w, https:\/\/people.sissa.it\/~grozza\/wp-content\/uploads\/2026\/04\/RozzaGroup_icon_2A_SurrogateModeling-45x45.png 45w\" sizes=\"auto, (max-width: 100px) 100vw, 100px\" \/><\/a><\/h3>\n<h3><span style=\"color: #f59c00;\">Surrogate Modeling<\/span><\/h3>\n<p><span style=\"font-weight: 400;\">Surrogate models are designed to approximate the response of expensive numerical models at a significantly lower computational cost, while preserving their fidelity.<\/span><\/p>\n<\/td>\n<td style=\"width: 33.4523%;\">\n<h3><a href=\"https:\/\/people.sissa.it\/~grozza\/wp-content\/uploads\/2026\/04\/RozzaGroup_icon_2A_UQ.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-5004\" src=\"https:\/\/people.sissa.it\/~grozza\/wp-content\/uploads\/2026\/04\/RozzaGroup_icon_2A_UQ.png\" alt=\"\" width=\"100\" height=\"100\" srcset=\"https:\/\/people.sissa.it\/~grozza\/wp-content\/uploads\/2026\/04\/RozzaGroup_icon_2A_UQ.png 600w, https:\/\/people.sissa.it\/~grozza\/wp-content\/uploads\/2026\/04\/RozzaGroup_icon_2A_UQ-300x300.png 300w, https:\/\/people.sissa.it\/~grozza\/wp-content\/uploads\/2026\/04\/RozzaGroup_icon_2A_UQ-24x24.png 24w, https:\/\/people.sissa.it\/~grozza\/wp-content\/uploads\/2026\/04\/RozzaGroup_icon_2A_UQ-36x36.png 36w, https:\/\/people.sissa.it\/~grozza\/wp-content\/uploads\/2026\/04\/RozzaGroup_icon_2A_UQ-48x48.png 48w, https:\/\/people.sissa.it\/~grozza\/wp-content\/uploads\/2026\/04\/RozzaGroup_icon_2A_UQ-45x45.png 45w\" sizes=\"auto, (max-width: 100px) 100vw, 100px\" \/><\/a><\/h3>\n<h3><span style=\"color: #f59c00;\">Uncertainty Quantification<\/span><\/h3>\n<p><span style=\"font-weight: 400;\">Uncertainty quantification provides mathematical and statistical tools to characterize the effect of uncertain inputs on model outputs.<\/span><\/p>\n<\/td>\n<td style=\"width: 33.3333%;\">\u00a0<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h3>\u00a0<\/h3>\n<h1 style=\"text-align: center;\"><span style=\"color: #09569a;\">From Reduced Order Models to Digital Twins<\/span><\/h1>\n<p><span style=\"font-weight: 400;\">The research vision of the Rozza Group has progressively evolved towards a broader framework for real-time and data-enhanced computational modeling, in which digital twins emerge as the point of convergence of the different research lines developed by the group.<\/span><\/p>\n<p>\u00a0<\/p>\n<h3><span style=\"color: #09569a;\">The Foundations<\/span><\/h3>\n<h2><span style=\"color: #09569a;\">Reduced-order methods for parametrized PDEs<\/span><\/h2>\n<h3><span style=\"color: #09569a;\"><a href=\"https:\/\/people.sissa.it\/~grozza\/wp-content\/uploads\/2026\/04\/RozzaGroup_img_2A_timeline_1.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-5007\" src=\"https:\/\/people.sissa.it\/~grozza\/wp-content\/uploads\/2026\/04\/RozzaGroup_img_2A_timeline_1-620x413.jpg\" alt=\"\" width=\"450\" height=\"300\" srcset=\"https:\/\/people.sissa.it\/~grozza\/wp-content\/uploads\/2026\/04\/RozzaGroup_img_2A_timeline_1-620x413.jpg 620w, https:\/\/people.sissa.it\/~grozza\/wp-content\/uploads\/2026\/04\/RozzaGroup_img_2A_timeline_1-940x627.jpg 940w, https:\/\/people.sissa.it\/~grozza\/wp-content\/uploads\/2026\/04\/RozzaGroup_img_2A_timeline_1-300x200.jpg 300w, https:\/\/people.sissa.it\/~grozza\/wp-content\/uploads\/2026\/04\/RozzaGroup_img_2A_timeline_1-768x512.jpg 768w, https:\/\/people.sissa.it\/~grozza\/wp-content\/uploads\/2026\/04\/RozzaGroup_img_2A_timeline_1-24x16.jpg 24w, https:\/\/people.sissa.it\/~grozza\/wp-content\/uploads\/2026\/04\/RozzaGroup_img_2A_timeline_1-36x24.jpg 36w, https:\/\/people.sissa.it\/~grozza\/wp-content\/uploads\/2026\/04\/RozzaGroup_img_2A_timeline_1-48x32.jpg 48w, https:\/\/people.sissa.it\/~grozza\/wp-content\/uploads\/2026\/04\/RozzaGroup_img_2A_timeline_1.jpg 1080w\" sizes=\"auto, (max-width: 450px) 100vw, 450px\" \/><\/a><\/span><\/h3>\n<p><span style=\"font-weight: 400;\">Early research activities were primarily centered on reduced basis methods, projection-based model reduction, and efficient numerical approximation. These methods were initially developed to make high-fidelity simulations computationally affordable in contexts involving repeated queries, optimization and control.<\/span><\/p>\n<p>\u00a0<\/p>\n<h3><span style=\"color: #09569a;\">The Expansion<\/span><\/h3>\n<h2><span style=\"color: #09569a;\">Uncertainty quantification, optimization, industrial-scale simulation<\/span><\/h2>\n<p><a href=\"https:\/\/people.sissa.it\/~grozza\/wp-content\/uploads\/2026\/04\/RozzaGroup_img_2A_timeline_2.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-5008\" src=\"https:\/\/people.sissa.it\/~grozza\/wp-content\/uploads\/2026\/04\/RozzaGroup_img_2A_timeline_2-620x413.jpg\" alt=\"\" width=\"450\" height=\"300\" srcset=\"https:\/\/people.sissa.it\/~grozza\/wp-content\/uploads\/2026\/04\/RozzaGroup_img_2A_timeline_2-620x413.jpg 620w, https:\/\/people.sissa.it\/~grozza\/wp-content\/uploads\/2026\/04\/RozzaGroup_img_2A_timeline_2-940x627.jpg 940w, https:\/\/people.sissa.it\/~grozza\/wp-content\/uploads\/2026\/04\/RozzaGroup_img_2A_timeline_2-300x200.jpg 300w, https:\/\/people.sissa.it\/~grozza\/wp-content\/uploads\/2026\/04\/RozzaGroup_img_2A_timeline_2-768x512.jpg 768w, https:\/\/people.sissa.it\/~grozza\/wp-content\/uploads\/2026\/04\/RozzaGroup_img_2A_timeline_2-24x16.jpg 24w, https:\/\/people.sissa.it\/~grozza\/wp-content\/uploads\/2026\/04\/RozzaGroup_img_2A_timeline_2-36x24.jpg 36w, https:\/\/people.sissa.it\/~grozza\/wp-content\/uploads\/2026\/04\/RozzaGroup_img_2A_timeline_2-48x32.jpg 48w, https:\/\/people.sissa.it\/~grozza\/wp-content\/uploads\/2026\/04\/RozzaGroup_img_2A_timeline_2.jpg 1080w\" sizes=\"auto, (max-width: 450px) 100vw, 450px\" \/><\/a><\/p>\n<p><span style=\"font-weight: 400;\">Over time, the research expanded toward uncertainty quantification, stochastic modeling, and Bayesian approaches. In parallel, the group increasingly addressed geometrical parametrization, multiphysics systems, and industrial-scale applications, extending reduced order techniques to more complex and realistic scenarios.<\/span><\/p>\n<h3>\u00a0<\/h3>\n<h3><span style=\"color: #09569a;\">The Convergence<\/span><\/h3>\n<h2><span style=\"color: #09569a;\">Scientific machine learning, data assimilation, hybrid modeling<\/span><\/h2>\n<h3><span style=\"color: #09569a;\"><a href=\"https:\/\/people.sissa.it\/~grozza\/wp-content\/uploads\/2026\/04\/RozzaGroup_img_2A_timeline_3-e1775149257439.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-5009\" src=\"https:\/\/people.sissa.it\/~grozza\/wp-content\/uploads\/2026\/04\/RozzaGroup_img_2A_timeline_3-e1775149257439-620x366.jpg\" alt=\"\" width=\"450\" height=\"265\" srcset=\"https:\/\/people.sissa.it\/~grozza\/wp-content\/uploads\/2026\/04\/RozzaGroup_img_2A_timeline_3-e1775149257439-620x366.jpg 620w, https:\/\/people.sissa.it\/~grozza\/wp-content\/uploads\/2026\/04\/RozzaGroup_img_2A_timeline_3-e1775149257439-940x554.jpg 940w, https:\/\/people.sissa.it\/~grozza\/wp-content\/uploads\/2026\/04\/RozzaGroup_img_2A_timeline_3-e1775149257439-300x177.jpg 300w, https:\/\/people.sissa.it\/~grozza\/wp-content\/uploads\/2026\/04\/RozzaGroup_img_2A_timeline_3-e1775149257439-768x453.jpg 768w, https:\/\/people.sissa.it\/~grozza\/wp-content\/uploads\/2026\/04\/RozzaGroup_img_2A_timeline_3-e1775149257439-24x14.jpg 24w, https:\/\/people.sissa.it\/~grozza\/wp-content\/uploads\/2026\/04\/RozzaGroup_img_2A_timeline_3-e1775149257439-36x21.jpg 36w, https:\/\/people.sissa.it\/~grozza\/wp-content\/uploads\/2026\/04\/RozzaGroup_img_2A_timeline_3-e1775149257439-48x28.jpg 48w, https:\/\/people.sissa.it\/~grozza\/wp-content\/uploads\/2026\/04\/RozzaGroup_img_2A_timeline_3-e1775149257439.jpg 1080w\" sizes=\"auto, (max-width: 450px) 100vw, 450px\" \/><\/a><\/span><\/h3>\n<p><span style=\"font-weight: 400;\">More recently, the integration of scientific machine learning and data-driven methods has enhanced reduced-order methods, especially in nonlinear and turbulent regimes. These developments have progressively connected model reduction, uncertainty quantification, high performance computing and data assimilation into a common framework.<\/span><\/p>\n<p>\u00a0<\/p>\n<h1 style=\"text-align: center;\"><span style=\"color: #09569a;\">Our Alignment with International Research Agendas<\/span><\/h1>\n<p><span style=\"font-weight: 400;\">Our focus on digital twins is consistent with recent international agendas on these technologies, which emphasize the need for new mathematical, computational, and data-driven methods enabling reliable and adaptive representations of complex systems.<\/span><\/p>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-1 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:50%\">\n<p><a href=\"https:\/\/people.sissa.it\/~grozza\/wp-content\/uploads\/2026\/04\/RozzaGroup_img_2A_int-agendas_ERC.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-5025\" src=\"https:\/\/people.sissa.it\/~grozza\/wp-content\/uploads\/2026\/04\/RozzaGroup_img_2A_int-agendas_ERC-620x876.jpg\" alt=\"\" width=\"297\" height=\"420\" srcset=\"https:\/\/people.sissa.it\/~grozza\/wp-content\/uploads\/2026\/04\/RozzaGroup_img_2A_int-agendas_ERC-620x876.jpg 620w, https:\/\/people.sissa.it\/~grozza\/wp-content\/uploads\/2026\/04\/RozzaGroup_img_2A_int-agendas_ERC-940x1329.jpg 940w, https:\/\/people.sissa.it\/~grozza\/wp-content\/uploads\/2026\/04\/RozzaGroup_img_2A_int-agendas_ERC-300x424.jpg 300w, https:\/\/people.sissa.it\/~grozza\/wp-content\/uploads\/2026\/04\/RozzaGroup_img_2A_int-agendas_ERC-768x1085.jpg 768w, https:\/\/people.sissa.it\/~grozza\/wp-content\/uploads\/2026\/04\/RozzaGroup_img_2A_int-agendas_ERC-1087x1536.jpg 1087w, https:\/\/people.sissa.it\/~grozza\/wp-content\/uploads\/2026\/04\/RozzaGroup_img_2A_int-agendas_ERC-17x24.jpg 17w, https:\/\/people.sissa.it\/~grozza\/wp-content\/uploads\/2026\/04\/RozzaGroup_img_2A_int-agendas_ERC-25x36.jpg 25w, https:\/\/people.sissa.it\/~grozza\/wp-content\/uploads\/2026\/04\/RozzaGroup_img_2A_int-agendas_ERC-34x48.jpg 34w, https:\/\/people.sissa.it\/~grozza\/wp-content\/uploads\/2026\/04\/RozzaGroup_img_2A_int-agendas_ERC.jpg 1241w\" sizes=\"auto, (max-width: 297px) 100vw, 297px\" \/><\/a><\/p>\n<p style=\"text-align: center;\"><a href=\"https:\/\/erc.europa.eu\/sites\/default\/files\/2025-07\/Research-Innovation-Competitive-Europe-workshop-report.pdf\" target=\"_blank\" rel=\"noopener\">View<\/a><\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:50%\">\n<p><a href=\"https:\/\/people.sissa.it\/~grozza\/wp-content\/uploads\/2026\/04\/RozzaGroup_img_2A_int-agendas_NationalAcademies.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-5026 aligncenter\" src=\"https:\/\/people.sissa.it\/~grozza\/wp-content\/uploads\/2026\/04\/RozzaGroup_img_2A_int-agendas_NationalAcademies-620x930.jpg\" alt=\"\" width=\"280\" height=\"420\" srcset=\"https:\/\/people.sissa.it\/~grozza\/wp-content\/uploads\/2026\/04\/RozzaGroup_img_2A_int-agendas_NationalAcademies-620x930.jpg 620w, https:\/\/people.sissa.it\/~grozza\/wp-content\/uploads\/2026\/04\/RozzaGroup_img_2A_int-agendas_NationalAcademies-300x450.jpg 300w, https:\/\/people.sissa.it\/~grozza\/wp-content\/uploads\/2026\/04\/RozzaGroup_img_2A_int-agendas_NationalAcademies-16x24.jpg 16w, https:\/\/people.sissa.it\/~grozza\/wp-content\/uploads\/2026\/04\/RozzaGroup_img_2A_int-agendas_NationalAcademies-24x36.jpg 24w, https:\/\/people.sissa.it\/~grozza\/wp-content\/uploads\/2026\/04\/RozzaGroup_img_2A_int-agendas_NationalAcademies-32x48.jpg 32w, https:\/\/people.sissa.it\/~grozza\/wp-content\/uploads\/2026\/04\/RozzaGroup_img_2A_int-agendas_NationalAcademies.jpg 667w\" sizes=\"auto, (max-width: 280px) 100vw, 280px\" \/><\/a><\/p>\n<p style=\"text-align: center;\"><a href=\"https:\/\/www.nationalacademies.org\/projects\/DEPS-BMSA-21-03\" target=\"_blank\" rel=\"noopener\">View<\/a><\/p>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u00a0 The Digital Twin Paradigm In a world increasingly shaped by the green and digital transitions, many scientific and technological systems are becoming more complex, data-rich and dynamically interconnected. This evolution raises several scientific questions: How can complex systems be simulated in real time? How can models evolve continuously through data? How can uncertainty be<a href=\"https:\/\/people.sissa.it\/~grozza\/vision\/\" > &#8230;<\/a><\/p>\n","protected":false},"author":15,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":"","_links_to":"","_links_to_target":""},"class_list":["post-4997","page","type-page","status-publish","hentry","item clearfix"],"_links":{"self":[{"href":"https:\/\/people.sissa.it\/~grozza\/wp-json\/wp\/v2\/pages\/4997","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/people.sissa.it\/~grozza\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/people.sissa.it\/~grozza\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/people.sissa.it\/~grozza\/wp-json\/wp\/v2\/users\/15"}],"replies":[{"embeddable":true,"href":"https:\/\/people.sissa.it\/~grozza\/wp-json\/wp\/v2\/comments?post=4997"}],"version-history":[{"count":10,"href":"https:\/\/people.sissa.it\/~grozza\/wp-json\/wp\/v2\/pages\/4997\/revisions"}],"predecessor-version":[{"id":5038,"href":"https:\/\/people.sissa.it\/~grozza\/wp-json\/wp\/v2\/pages\/4997\/revisions\/5038"}],"wp:attachment":[{"href":"https:\/\/people.sissa.it\/~grozza\/wp-json\/wp\/v2\/media?parent=4997"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}