Research

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

• Spatio-temporal statistics Clarotto et al. (2024)
• Stochastic PDEs (see Clarotto et al. 2024)
• Deep generative models
• Physics-Informed Neural Networks (PINNs)
• Compositional Data Analysis (see Clarotto, Allard, and Menafoglio 2022)
• Fast methods for spatial and spatio-temporal inference (see 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.

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.