Publications

You can also find my articles on my Google Scholar profile.

Submitted

• F. Tamburlin, G. Canali, G. A. D'Inverno, N. Demo, A. Mola, G. Rozza (2026). Constraint-driven Optimization and Parametrization of Industrial NURBS Geometries via Neural Deformation Field. [arXiv]. Under review
• G. Masella, G. A. D'Inverno, M. Goldsmith, G. Rozza (2026). Evaluating passing decision-making in professional football: An enhanced MPNN approach to Receiver Selection. [arXiv]. Under review
• S. N. Sadoun, G. A. D'Inverno, A. Boutin, F. Cottin, T. M. Laleg-Kirati (2026). From Well-Posed Inversion to Learning Design: Physics-Informed Neural Estimation for Autonomic Regulation. Under review
• D. Bagno, G. A. D'Inverno, F. Pelosi, M. L. Sampoli (2026). Planar Hermite quintic interpolants with prescribed arc length. Under review
• S. N. Sadoun, G. A. D'Inverno, A. Boutin, F. Cottin, T. M. Laleg-Kirati (2026). Physics-Informed Neural Estimation of State and Unknown Input in Autonomic Cardiac Dynamics with Left-Invertibility Constraints. Accepted at European Control Conference 2026 .
• S. N. Sadoun, G. A. D'Inverno, A. Boutin, F. Cottin, T. M. Laleg-Kirati (2026). State and Unknown Input Estimation using a Left-Invertibility Constrained Neural Estimator in Delayed Autonomic Cardiac Dynamics. Accepted at IFAC World Conference 2026 .

Published

Peer-reviewed journals

• G. A. D'Inverno, K. Ajavon, S. Brugiapaglia (2026). Surrogate models for Diffusion on Graphs via Sparse Polynomials. Journal of Scientific Computing, 108, 36. [Paper][Code].
• L. Chiantini, G. A. D'Inverno, S. Marziali (2026). Product Of Tensors and Description of Networks. Advances in Applied Mathematics, 180, 103117. [Paper][Code].
• G. A. D'Inverno, Z. Hu, L. Davy, M. Unser, G. Rozza, J. Dong (2026). Revisiting Deep Information Propagation: Fractal Frontier and Finite-size Effects. Neural Networks, 202, 109013. [Paper][Code].
• B. T. Corradini, B. Cullen, C. Gallegati, S. Marziali, G. A. D’Inverno, M. Bianchini, F. Scarselli (2025). Training Dynamics of GANs Through the Lens of Persistent Homology. Neurocomputing, 661, 131976. [Paper][Code].
• L. Desiderio, G. A. D'Inverno, M.L. Sampoli, A. Sestini (2025). Hierarchical matrices for 3D Helmholtz problems in the multi-patch IgA-BEM setting. Engineering with Computers, 41, 2021–2042. [Paper]
• G. A. D'Inverno, Saeid Moradizadeh, Sajad Salavatidezfouli, Pasquale Claudio Africa, Gianluigi Rozza (2025). Mesh-Informed Reduced Order Models for Aneurysm Rupture Risk Prediction. Journal of Computational and Applied Mathematics, 470, 116727. [Paper][Code]
• G. A. D'Inverno, M. Bianchini, F. Scarselli (2024). VC dimension of Graph Neural Networks with Pfaffian activation functions. Neural Networks, 182, 106924. [Paper][Code]
• G. A. D'Inverno, S. Brugiapaglia, M. Ravanelli (2024). Generalization Limits of Graph Neural Networks in Identity Effects Learning. Neural Networks, 181, 106793. [Paper][Code]
• G. A. D'Inverno, J. Dong (2024). Comparison of Reservoir Computing topologies using the Recurrent Kernel approach. Neurocomputing, 611, 128679. [Paper][Code]
• G. A. D’Inverno, M. Bianchini, M. L. Sampoli, F. Scarselli (2024). On the approximation capability of GNNs in node classification/regression tasks. Soft Computing, 28, 8527–8547. [Paper][Code]
• M. S. Bucarelli, G. A. D’Inverno, M. Bianchini, F. Scarselli, F. Silvestri (2024). A topological description of loss surfaces based on Betti Numbers. Neural Networks, 178, 106465. [Paper]
• S. Beddar-Wiesing, G. A. D’Inverno, C. Graziani, V. Lachi, A. Moallemy-Oureh, F. Scarselli, J. M. Thomas (2024). Weisfeiler–Lehman goes dynamic: An analysis of the expressive power of graph neural networks for attributed and dynamic graphs. Neural Networks, 173, 106213. [Paper][Code]
• A. Falini, G. A. D'Inverno, M. L. Sampoli, F. Mazzia (2022). Splines Parameterization of Planar Domains by Physics-Informed Neural Networks. Mathematics, 11(10), 2406. [Paper]
• G. A. D’Inverno, S. Brunetti, M. L. Sampoli, D. F. Muresanu, A. Rufa, M. Bianchini (2021). Visual Sequential Search Test Analysis: An Algorithmic Approach. Mathematics, 9(22), 2952. [Paper]

Conference Papers

• L. Zhou, D. Solombrino, D. Crisostomi, M. S. Bucarelli, G. A. D’Inverno, F. Silvestri & E. Rodolà. On Task Vectors and Gradients. Proceedings of UniReps: the Third Edition of the Workshop on Unifying Representations in Neural Models, volume 322 of Proceedings of Machine Learning Research, pages 398–417. PMLR, 06 Dec 2026. [Paper]
• C. Fontana, G. A. D’Inverno, N. Cappetti (2024). Diagnostic Enface Imaging of Retinal Vascularization: Topological Reconstruction and Intersection Identification. In: Carfagni, M., Furferi, R., Di Stefano, P., Governi, L., Gherardini, F. (eds) Design Tools and Methods in Industrial Engineering III. ADM 2023. Lecture Notes in Mechanical Engineering. Springer, Cham. [Paper]

Doctoral thesis

• Theoretical properties of Graph Neural Networks. PhD thesis, University of Siena, 2024. [url]