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Nicolas Desassis

Nicolas Desassis

Researcher Scientist

Center · STIM

Biography

Nicolas Desassis is a researcher specializing in geostatistics and spatial modeling, with significant expertise in the development of advanced statistical methods for the analysis and simulation of geological and environmental phenomena. His work focuses in particular on the application of stochastic partial differential equations (SPDEs) for modeling Gaussian random fields, as well as on the integration of deep learning (generative neural networks, GANs) to improve uncertainty management in geological models. His research also addresses issues related to the non-stationarity of spatial data, the conditional simulation of geological reservoirs, and the optimization of kriging methods for complex datasets. His approach combines mathematical rigor with practical applications, particularly in the fields of hydrogeology, seismology, and the characterization of natural resources.

Publication(s)

Teaching

Inverse Problems

Guest Lecturer

Introduction: Origin of Inverse Problems. Study of Linear Problems: Conditioning, Least Squares, Singular Value Decomposition. Why There Is Noise in Measurements: The Example of the CCD Sensor. Regularization: Tikhonov Method, LASSO. Optimization Problems and Associated Algorithms. Problems governed by a differential equation: the adjoint method for gradient calculation Statistics: a Bayesian perspective. A posteriori estimation, least-squares estimator. Use of neural networks: the Plug-and-Play framework Each half-day will consist of one lecture session and one tutorial or lab session.

Geostatistics

Lecturer

General Introduction and Introduction to the R Software (www.r-project.org) Random Function Models, Inference, and Prediction (Kriging and Simulations) Spatiotemporal Modeling

PhD supervision

  • 2025 Automatic generation of visual animations from musical sources BUGUET Romain
  • 2025 Effective methods for spatio-temporal model estimation LORET Alexandre
  • 2022 Stochastic two-dimensional structural geomodeling using deep generative adversarial networks GARAYT Charlie
  • 2022 The impact of deep generative models for solving nonlinear inverse problems: application to seismic imaging XIE Yuke
  • 2021 Deep Generative Models for Conditional Spatial Simulation BHAVSAR Ferdinand
  • 2020 Machine learning and compliance with physical laws: application to seismic imaging DE SOUZA Léo
  • 2020 Spatio-temporal prediction by stochastic partial differential equations CLAROTTO Lucia
  • 2016 Generalized random fields defined on Riemannian manifolds: theory and practice PEREIRA Mike
  • 2015 Stochastic partial differential equation-based development of geostatistical models CARRIZO VERGARA Ricardo