Here you can find a list of my scientific contributions.

Preprints

1. P.C. Aubin-Frankowski, V. Ehrlacher, G. Todeschi. Debiasing optimal transport: classical and entropic. arXiv preprint arXiv:2604.19981, 2026 (pdf)

Journal Publications

1. F. Léger, G. Todeschi, F.X. Vialard. Nonnegative cross-curvature in infinite dimensions: synthetic definition and spaces of measures. Geometric and Functional Analysis, 1-74, 2025. (pdf)
2. T. O. Gallouet, A. Natale, G. Todeschi. Metric extrapolation in the Wasserstein space. Calculus of Variations and Partial Differential Equations, 64(5), 147, 2025. (pdf)
3. G. Todeschi, L. Métivier, J.M. Mirebeau. Unbalanced L1 optimal transport for vector valued measures and application to Full Waveform Inversion. Journal of Computational Physics, 523:113657, 2025. (pdf)
4. T. O. Gallouet, A. Natale, G. Todeschi. From geodesic extrapolation to a variational BDF2 scheme for Wasserstein gradient flows. Mathematics of Computation, 93(350), 2769-2810, 2024. (pdf)
5. E. Facca, G. Todeschi, A. Natale, M. Benzi. Efficient preconditioners for solving dynamical optimal transport via interior point methods. SIAM Journal on Scientific Computing, 46(3), A1397-A1422, 2024. (pdf)
6. A. Natale, G. Todeschi. Computation of optimal transport with finite volumes. ESAIM: Mathematical Modelling and Numerical Analysis, 55(5):1847-1871, 2021. (pdf)
7. A. Natale, G. Todeschi. A mixed finite element discretization of dynamical optimal transport. Journal of Scientific Computing, 91(2), 1-26, 2022 (pdf)
8. C. Cancès, T. O. Gallouet, G. Todeschi. A variational finite volume scheme for Wasserstein gradient flows. Numer. Math., 146(3), pp. 437-480, 2020. (pdf)

Conference proceedings

1. A. Natale, G. Todeschi. TPFA finite volume approximation of Wasserstein gradient flows. FVCA9 - International Conference on Finite Volumes for Complex Applications IX, 2020, Bergen, Norway. (pdf)