Publications

Preprints

• Zhang, Y., Yu, H., Auriol, J., & P., M. (2023). Mean-square Exponential Stabilization of Mixed-autonomy Traffic PDE System. arXiv preprint arXiv:2310.15547.

• Wiersdalen, S., P., M., Lang, A., Szederkenyi, G., Auriol, J., & Kulcsar, B. (2023). Incremental Exponential Stability of the Unidirectional Flow Model. arXiv preprint arXiv:2312.11061.

• P., M. (2023). A note on spatio-temporal random fields on meshed surfaces defined from advection-diffusion SPDEs. hal-04132148.

• P., M., Desassis, N., Magneron, C., and Palmer, N. (2020). A matrix-free approach to geostatistical filtering. arXiv preprint arXiv:2004.02799.

Published

• P., M., Kulcsár, B., Lipták, G., Kovács, M., & Szederkényi, G. (2024). The Traffic Reaction Model: A kinetic compartmental approach to road traffic modeling. Transportation research part C: emerging technologies, 158, 104435.

• P., M. and Lang, A. (2023). Galerkin-Chebyshev approximation of Gaussian random fields on compact Riemannian manifolds. BIT Numerical Mathematics, 63(4), 51.

• Varga, B., P., M., Kulcsár, B., Pariota, L., and Péni, T. (2023). Data-Driven Distance Metrics for Kriging-Short-Term Urban Traffic State Prediction. IEEE Transactions on Intelligent Transportation Systems.

• P., M., Desassis, N., and Allard, D. (2022). Geostatistics for large datasets on Riemannian manifolds: A matrix-free approach. Journal of Data Science, 20(4):512–532.

• P., M., Lang, A., & Kulcsár, B. (2022). Short-term traffic prediction using physics-aware neural networks. Transportation Research Part C: Emerging Technologies, 142, 103772.

• P., M., Baykas P. B, Kulcsár B. and Lang A. (2021). Parameter and density estimation from real-world traffic data : A kinetic compartmental approach. Transportation Research Part B: Methodological 155 (2022): 210-239.

• Majed, L., P., M.,, Magneron, C., Bachelot, L. L., Fagherazzi, G., Baldauf, J. J., and Raude, J. (2019). A geostatistical algorithm to better identify contextual and clinical factors associated to HPV vaccine coverage in France. Value in Health, 22, S660.

• P., M. and Desassis, N. (2019). Efficient simulation of Gaussian Markov random fields by Chebyshev polynomial approximation. Spatial Statistics, 31 :100359.

Proceedings

• Auriol, J., P., M., and Kulcsár, B. (2023) Mean-square exponential stabilization of coupled hyperbolic systems with random parameters. In IFAC World Congress 2023.

• Desassis, N., Renard, D., P., M., and Freulon, X. (2019). Plurigaussian simulations with the Stochastic Partial Differential Equation (SPDE) approach. In Petroleum Geostatistics 2019.

• P., M. and Magneron, C. (2019). SPDE geostatistical filtering for seismic data. In 81st EAGE Conference and Exhibition 2019.

• P., M., Magneron, C., and Desassis, N. (2019). Geostatistical filtering of noisy seismic data using stochastic partial differential equations (SPDE). In Petroleum Geostatistics 2019.

Thesis

• P., M. (2019). Generalized random fields on Riemannian manifolds: theory and practice. Mines Paris - PSL University.