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mathematics for sustainable development

scientific coordinator: Luca Formaggia

 

The main goals for this topic are the development of mathematical models and numerical methods with applications to biomedicine (e.g., precision medicine, mathematical oncology, neurosciences) and for the sustainable use of the subsoil and mitigation of the effects of human activities (e.g., CO2 sequestration, geothermal reservoirs), as well as the implementation and analysis of scientific machine learning algorithms.

 

 

Publications

2024

  • N.R. Franco, A. Manzoni, P. Zunino, J. Hesthaven, "Deep orthogonal decomposition: a continuously adaptive data-driven approach to model order reduction", preprint arXiv:2404.18841 [math.NA], 2024;
  • P. Conti, J. Kneifl, A. Manzoni, A. Frangi, J. Fehr, S.L. Brunton, J.N. Kutz, "VENI, VINDy, VICI: a variational reduced-order modeling framework with uncertainty quantification", preprint arXiv:2405.20905 [cs.LG], 2024;
  • N. Farenga, S. Fresca, S. Brivio, A. Manzoni, "On latent dynamics learning in nonlinear reduced order modeling", preprint arXiv:2408.15183 [math.NA], 2024;
  • P. Conti, M. Guo, A. Manzoni, A. Frangi, S.L. Brunton, J.N. Kutz, "Multi-fidelity reduced-order surrogate modelling", Proc. R. Soc. A 480, 20230655, 2024;
  • L. Rosafalco, P. Conti, A. Manzoni, S. Mariani, A. Frangi, "EKF–SINDy: Empowering the extended Kalman filter with sparse identification of nonlinear dynamics", Comput. Methods Appl. Mech. Eng. 431, 117264 , 2024;
  • S. Brivio, S. Fresca, A. Manzoni, "PTPI-DL-ROMs: Pre-trained physics-informed deep learning-based reduced order models for nonlinear parametrized PDEs", Comput. Methods Appl. Mech. Eng. 432, 117404, 2024;
  • M. Torzoni, M. Tezzele, S. Mariani, A. Manzoni, K.E. Willcox, "A digital twin framework for civil engineering structures", Torzoni, M., Tezzele, M., Mariani, S., Manzoni, A., Willcox, K.E., A digital twin framework for civil engineering structures, Comput. Methods Appl. Mech. Eng. 418, 11658, 2024;
  • L. Cicci, S. Fresca, M. Guo, A. Manzoni, P. Zunino, "Uncertainty quantification for nonlinear solid mechanics using reduced order models with Gaussian process regression", Comput. Math. Appl. 149, 1−23 , 2024;
  • P. Vitullo, A. Colombo, N.R. Franco, A. Manzoni, P. Zunino, "Nonlinear model order reduction for problems with microstructure using mesh informed neural networks", Finite Elem. Anal. Des. 229, 104068, 2024;
  • N.R. Franco, D. Fraulin, A. Manzoni, P. Zunino, "On the latent dimension of deep autoencoders for reduced order modeling of PDEs parametrized by random fields", Adv. Comput. Math. 50, 96, 2024;
  • B. Begu, S. Panzeri, E. Arnone, M. Carey, L.M. Sangalli, "A nonparametric penalized likelihood approach to density estimation of space-time point patterns", Spat. Stat. 61, 100824, 2024;
  • M. Cavazzutti, E. Arnone, F. Ferraccioli, C. Galimberti, L. Finos, L.M. Sangalli, "Sign-flip inference for spatial regression with differential regularisation", Stat. 13, e711, 2024;
  • N. Parolini, A. Poiatti, J. Vené, M. Verani, "Structure-preserving neural networks in data-driven rheological models", preprint arXiv:2401.07121 [math.NA], 2024;
  • P.F. Antonietti, F. Bonizzoni, M. Corti, A. Dall'Olio, "Discontinuous Galerkin approximations of the heterodimer model for protein-protein interaction", Comput. Methods Appl. Mech. Eng. 431, 117282, 2024;
  • E. Zappon, M. Salvador, P. Piersanti, F. Regazzoni, L. Dedè, A. Quarteroni, "An integrated heart-torso electromechanical model for the simulation of electrophysiogical outputs accounting for myocardial deformation", 2024, Comput. Methods Appl. Mech. Eng. 427, 117007, 2024;
  • F. Regazzoni, "An optimally convergent Fictitious Domain method for interface problems", Comput. Methods Appl. Mech. Eng. 431, 117327, 2024;
  • M. Beraha, S. Favaro, M. Sesia, "Random measure priors in Bayesian recovery from sketches", J. Mach. Learn. Res. 25, 1−53, 2024;
  • M. Beraha, M. Pegoraro, "Wasserstein principal component analysis for circular measures", Stat. Comput. 34, 171, 2024;
  • L. Bindini, S. Pagani, A. Bernardini, B. Grossi, A. Giomi, A. Frontera, P. Frasconi, "All-in-one electrical atrial substrate indicators with deep anomaly detection", Biomed. Signal Process. Control. 98, 106737, 2024;
  • E. Ballini, L. Formaggia, A. Fumagalli, E. Keilegavlen, A. Scotti, "A hybrid upwind scheme for two-phase flow in fractured porous media", Comput. Methods Appl. Mech. Eng. 432, 117437, 2024;