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Gianluigi Rozza

  1. Scientific Machine Learning through Physics-Informed Neural Networks: Where we are and What's next
    2022/01/14 by Salvatore Cuomo, Vincenzo Schiano Di Cola, Cuomo, Salvatore +9 · 182 citations
    Physics and Astronomy · Computer Science · #Model Reduction and Neural Networks #Neural Networks and Applications
  2. Scientific Machine Learning Through Physics–Informed Neural Networks: Where we are and What’s Next
    2022/07/26 by Salvatore Cuomo, Vincenzo Schiano Di Cola, Fabio Giampaolo +3 · 139 citations
    Engineering · Physics and Astronomy · #Heat Transfer and Optimization #Model Reduction and Neural Networks #Nanofluid Flow and Heat Transfer
  3. Efficient Geometrical parametrization for Finite-Volume based Reduced\n Order Methods
    2019/01/18 by Giovanni Stabile, Matteo Zancanaro, Stabile, Giovanni +3 · 6 citations
    Engineering · Physics and Astronomy · #35Q35 #78M34 #97N40 #Electromagnetic Simulation and Numerical Methods #FOS: Mathematics #Model Reduction and Neural Networks #Numerical Analysis (math.NA) #Numerical methods in engineering
  4. Free Form Deformation, mesh morphing and reduced order methods: enablers for efficient aerodynamic shape optimization
    2018/03/13 by Filippo Salmoiraghi, Salmoiraghi, F., Angela Scardigli +5 · 3 citations
    Decision Sciences · Engineering · Physics and Astronomy · #Computational Fluid Dynamics and Aerodynamics #FOS: Mathematics #Model Reduction and Neural Networks #Numerical Analysis (math.NA) #Probabilistic and Robust Engineering Design
  5. A brief review of Reduced Order Models using intrusive and non-intrusive techniques
    2024/06/01 by Guglielmo Padula, Michele Girfoglio, Padula, Guglielmo +3 · 5 citations
    Mathematics · Engineering · #Numerical methods for differential equations #Vibration and Dynamic Analysis #Brake Systems and Friction Analysis
  6. Explicable hyper-reduced order models on nonlinearly approximated solution manifolds of compressible and incompressible Navier-Stokes equations
    2023/08/07 by Francesco Romor, Romor, Francesco, Giovanni Stabile +3 · 4 citations
    Engineering · Physics and Astronomy · #Computational Fluid Dynamics and Aerodynamics #FOS: Mathematics #Fluid Dynamics and Turbulent Flows #Model Reduction and Neural Networks #Numerical Analysis (math.NA)
  7. A LSTM-enhanced surrogate model to simulate the dynamics of particle-laden fluid systems
    2024/03/21 by Arash Hajisharifi, Hajisharifi, Arash, Rahul Halder +9 · 4 citations
    Engineering · #FOS: Mathematics #Fluid Dynamics Simulations and Interactions #Granular flow and fluidized beds #Lattice Boltzmann Simulation Studies #Numerical Analysis (math.NA)
  8. A data-driven Reduced Order Method for parametric optimal blood flow control: application to coronary bypass graft
    2022/06/30 by Caterina Balzotti, Balzotti, Caterina, Pierfrancesco Siena +7 · 3 citations
    Engineering · Medicine · Physics and Astronomy · #Cardiovascular Function and Risk Factors #Computational Engineering #Elasticity and Material Modeling #FOS: Computer and information sciences #FOS: Physical sciences #Finance #Medical Physics (physics.med-ph) #Model Reduction and Neural Networks #and Science (cs.CE)
  9. An optimisation-based domain-decomposition reduced order model for parameter-dependent non-stationary fluid dynamics problems
    2023/08/03 by Ivan Prusak, Davide Torlo, Prusak, Ivan +5 · 2 citations
    Engineering · Physics and Astronomy · #Analysis of PDEs (math.AP) #FOS: Mathematics #Fluid Dynamics and Vibration Analysis #Hydraulic and Pneumatic Systems #Model Reduction and Neural Networks #Numerical Analysis (math.NA) #Optimization and Control (math.OC)
  10. A POD-Galerkin reduced order model of a turbulent convective buoyant flow of sodium over a backward-facing step
    2020/03/02 by Kelbij Star, Giovanni Stabile, Star, Kelbij +5 · 1 citation
    Engineering · Physics and Astronomy · #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Fluid Dynamics and Turbulent Flows #Model Reduction and Neural Networks #Nuclear Engineering Thermal-Hydraulics
  11. An efficient shape parametrisation by free-form deformation enhanced by\n active subspace for hull hydrodynamic ship design problems in open source\n environment
    2018/01/19 by Nicola Demo, Marco Tezzele, Demo, Nicola +5 · 1 citation
    Engineering · Physics and Astronomy · #Computational Fluid Dynamics and Aerodynamics #FOS: Mathematics #Fluid Dynamics Simulations and Interactions #Fluid Dynamics and Vibration Analysis #Model Reduction and Neural Networks #Numerical Analysis (math.NA) #Ship Hydrodynamics and Maneuverability
  12. Non-linear manifold ROM with Convolutional Autoencoders and Reduced Over-Collocation method
    2022/03/01 by Francesco Romor, Romor, Francesco, Giovanni Stabile +3 · 1 citation
    Physics and Astronomy · Computer Science · #Model Reduction and Neural Networks #Computational Physics and Python Applications #Generative Adversarial Networks and Image Synthesis
  13. A Finite Volume approximation of the Navier-Stokes equations with\n nonlinear filtering stabilization
    2019/01/16 by Michele Girfoglio, Annalisa Quaini, Girfoglio, Michele +3 · 1 citation
    Engineering · #Fluid Dynamics and Turbulent Flows #Computational Fluid Dynamics and Aerodynamics #Advanced Numerical Methods in Computational Mathematics
  14. Shape optimization through proper orthogonal decomposition with interpolation and dynamic mode decomposition enhanced by active subspaces
    2019/05/14 by Marco Tezzele, Nicola Demo, Tezzele, Marco +3 · 1 citation
    Decision Sciences · Engineering · Physics and Astronomy · #FOS: Mathematics #Fluid Dynamics and Vibration Analysis #Model Reduction and Neural Networks #Numerical Analysis (math.NA) #Probabilistic and Robust Engineering Design #Structural Health Monitoring Techniques
  15. Generative Models for the Deformation of Industrial Shapes with Linear Geometric Constraints: model order and parameter space reductions
    2023/08/07 by Guglielmo Padula, Padula, Guglielmo, Francesco Romor +5 · 2 citations
    Engineering · Computer Science · #Advanced Numerical Analysis Techniques #Computer Graphics and Visualization Techniques #Human Motion and Animation
  16. Generative Adversarial Reduced Order Modelling
    2023/05/25 by Dario Coscia, Nicola Demo, Coscia, Dario +3 · 2 citations
    Physics and Astronomy · #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Model Reduction and Neural Networks #Numerical Analysis (math.NA)
  17. Data-driven Optimization for the Evolve-Filter-Relax regularization of convection-dominated flows
    2025/01/07 by Anna Ivagnes, Ivagnes, Anna, Maria Strazzullo +7 · 3 citations
    Physics and Astronomy · Engineering · Earth and Planetary Sciences · #Model Reduction and Neural Networks #Advanced Numerical Methods in Computational Mathematics #Meteorological Phenomena and Simulations
  18. Reduced basis approaches for parametrized bifurcation problems held by non-linear Von Kármán equations
    2018/04/05 by Federico Pichi, Gianluigi Rozza, Pichi, Federico +1 · 1 citation
    Computer Science · Engineering · Mathematics · #Elasticity and Wave Propagation #FOS: Mathematics #Matrix Theory and Algorithms #Numerical Analysis (math.NA) #Numerical methods for differential equations
  19. Parametric POD-Galerkin Model Order Reduction for Unsteady-State Heat\n Transfer Problems
    2018/08/15 by Sokratia Georgaka, Georgaka, Sokratia, Giovanni Stabile +5 · 1 citation
    Engineering · Physics and Astronomy · #Nuclear Engineering Thermal-Hydraulics #Model Reduction and Neural Networks #Hydraulic and Pneumatic Systems
  20. POD-Galerkin reduced order methods for combined Navier-Stokes transport\n equations based on a hybrid FV-FE solver
    2018/10/18 by Saray Busto, Giovanni Stabile, Busto, Saray +5 · 1 citation
    Engineering · Mathematics · Physics and Astronomy · #Computational Fluid Dynamics and Aerodynamics #Computational Physics (physics.comp-ph) #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Model Reduction and Neural Networks #Numerical Analysis (math.NA) #Numerical methods for differential equations
  21. A novel Large Eddy Simulation model for the Quasi-Geostrophic Equations in a Finite Volume setting
    2022/02/01 by Michele Girfoglio, Girfoglio, Michele, Annalisa Quaini +3 · 1 citation
    Earth and Planetary Sciences · Engineering · #FOS: Mathematics #Fluid Dynamics and Turbulent Flows #Meteorological Phenomena and Simulations #Numerical Analysis (math.NA) #Oceanographic and Atmospheric Processes
  22. Projection-based Reduced Order Modelling for Unsteady Parametrized Optimal Control Problems in 3D Cardiovascular Flows
    2024/10/28 by Surabhi Rathore, Rathore, Surabhi, Pasquale Claudio Africa +9 · 2 citations
    Physics and Astronomy · Engineering · Medicine · #Model Reduction and Neural Networks #Elasticity and Material Modeling #Cardiovascular Function and Risk Factors
  23. Stabilized POD Reduced Order Models for convection-dominated incompressible flows
    2024/04/30 by Pierfrancesco Siena, Siena, Pierfrancesco, Michele Girfoglio +5 · 1 citation
    Engineering · Physics and Astronomy · #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Fluid Dynamics and Turbulent Flows #Fluid Dynamics and Vibration Analysis #Model Reduction and Neural Networks #Numerical Analysis (math.NA)
  24. BARNN: A Bayesian Autoregressive and Recurrent Neural Network
    2025/01/30 by Dario Coscia, Max Welling, Coscia, Dario +5 · 3 citations
    Computer Science · #Artificial Intelligence (cs.AI) #FOS: Computer and information sciences #Machine Learning (cs.LG) #Neural Networks and Applications
  25. Enhancing non-intrusive Reduced Order Models with space-dependent aggregation methods
    2024/03/08 by Anna Ivagnes, Ivagnes, Anna, Niccolò Tonicello +5 · 2 citations
    Engineering · #Evacuation and Crowd Dynamics #FOS: Mathematics #Fire Detection and Safety Systems #Industrial Technology and Control Systems #Numerical Analysis (math.NA)
  26. A Predictive Surrogate Model for Heat Transfer of an Impinging Jet on a Concave Surface
    2024/02/16 by Sajad Salavatidezfouli, Salavatidezfouli, Sajad, Saeid Rakhsha +7 · 1 citation
    Engineering · #Computational Engineering #FOS: Computer and information sciences #FOS: Mathematics #Finance #Fluid Dynamics and Turbulent Flows #Heat Transfer Mechanisms #Heat Transfer and Optimization #Machine Learning (cs.LG) #Numerical Analysis (math.NA) #and Science (cs.CE)
  27. Optimal Transport-Based Displacement Interpolation with Data Augmentation for Reduced Order Modeling of Nonlinear Dynamical Systems
    2024/11/13 by Moaad Khamlich, Khamlich, Moaad, Federico Pichi +7 · 2 citations
    Engineering · Physics and Astronomy · #37M05 #49Q20 (Primary) 35Q35 #65M99 #76M99 #86A10 (Secondary) #FOS: Computer and information sciences #FOS: Mathematics #G.1.2 #G.1.8 #Hydraulic and Pneumatic Systems #I.6.4 #I.6.5 #Machine Learning (cs.LG) #Model Reduction and Neural Networks #Numerical Analysis (math.NA) #Real-time simulation and control systems
  28. A Reduced Order Model formulation for left atrium flow: an Atrial Fibrillation case
    2023/09/19 by Caterina Balzotti, Pierfrancesco Siena, Balzotti, Caterina +13 · 2 citations
    Engineering · Medicine · Physics and Astronomy · #Cardiovascular Function and Risk Factors #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Fluid Dynamics and Vibration Analysis #Model Reduction and Neural Networks
  29. Optimal Transport-inspired Deep Learning Framework for Slow-Decaying Kolmogorov n-width Problems: Exploiting Sinkhorn Loss and Wasserstein Kernel
    2023/08/26 by Moaad Khamlich, Khamlich, Moaad, Federico Pichi +3 · 1 citation
    Engineering · Physics and Astronomy · #41A05 #41A46 #65D99 #65N30 #68T05 #90C25 #FOS: Computer and information sciences #FOS: Mathematics #Lattice Boltzmann Simulation Studies #Machine Learning (cs.LG) #Model Reduction and Neural Networks #Numerical Analysis (math.NA) #Numerical methods in engineering
  30. Pressure stabilization strategies for a LES filtering Reduced Order\n Model
    2021/06/30 by Michele Girfoglio, Girfoglio, Michele, Annalisa Quaini +3 · 1 citation
    Engineering · Physics and Astronomy · #FOS: Mathematics #Fluid Dynamics and Vibration Analysis #Hydraulic and Pneumatic Systems #Model Reduction and Neural Networks #Numerical Analysis (math.NA)
  31. A physics-based reduced order model for urban air pollution prediction
    2023/05/08 by Moaad Khamlich, Khamlich, Moaad, Giovanni Stabile +7 · 1 citation
    Environmental Science · Physics and Astronomy · #Air Quality Monitoring and Forecasting #Analysis of PDEs (math.AP) #FOS: Mathematics #Model Reduction and Neural Networks #Numerical Analysis (math.NA) #Wind and Air Flow Studies
  32. A Comparison of Data-Driven Reduced Order Models for the Simulation of Mesoscale Atmospheric Flow
    2023/07/17 by Arash Hajisharifi, Michele Girfoglio, Hajisharifi, Arash +5 · 1 citation
    Engineering · Physics and Astronomy · #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Fluid Dynamics and Vibration Analysis #Model Reduction and Neural Networks #Real-time simulation and control systems
  33. A Dynamical Approximation Scheme on the Stiefel manifold for Wasserstein Gradient Flows
    2026/07/19 by Isabella Carla Gonnella, Olga Mula, Federico Pichi +1
    #math.NA #cs.NA
  34. Trainable Spline Representations for Physics-Informed Learning
    2026/07/17 by Giovanni Canali, Nicola Demo, Gianluigi Rozza
    #cs.LG #cs.NA #math.NA