Research

An incomplete list of research topics I’m interested in:

• Spatio-temporal statistics (Allard, Clarotto, and Emery 2022; Clarotto et al. 2024; Pereira, Clarotto, and Desassis 2025)
• Stochastic PDEs for spatio-temporal modeling (Clarotto et al. 2024; Pereira, Clarotto, and Desassis 2025)
• Deep generative models for spatio-temporal data
• Physics-Informed Neural Networks (PINNs) and their generalization for Stochastic (P)DEs
• Compositional Data Analysis (Clarotto, Allard, and Menafoglio 2022)
• Fast methods for spatial and spatio-temporal inference (Allard et al. 2021)

List of publications

Allard, Denis, Lucia Clarotto, and Xavier Emery. 2022. “Fully Nonseparable Gneiting Covariance Functions for Multivariate Space–Time Data.” Spatial Statistics 52: 100706. https://doi.org/10.1016/j.spasta.2022.100706.

Allard, Denis, Lucia Clarotto, Thomas Opitz, and Thomas Romary. 2021. “Discussion on ‘Competition on Spatial Statistics for Large Datasets’.” Journal of Agricultural, Biological and Environmental Statistics 26. https://doi.org/10.1007/s13253-021-00462-2.

Clarotto, Lucia, Denis Allard, and Alessandra Menafoglio. 2022. “A New Class of α-Transformations for the Spatial Analysis of Compositional Data.” Spatial Statistics 47: 100570. https://doi.org/10.1016/j.spasta.2021.100570.

Clarotto, Lucia, Denis Allard, Thomas Romary, and Nicolas Desassis. 2024. “The SPDE Approach for Spatio-Temporal Datasets with Advection and Diffusion.” Spatial Statistics 62: 100847. https://doi.org/10.1016/j.spasta.2024.100847.

Pereira, Mike, Lucia Clarotto, and Nicolas Desassis. 2025. “The SPDE Approach for Spatio-Temporal Datasets with Advection and Diffusion.” Hal-04132148. https://hal.science/hal-04132148.