Work in progress and current projects

► Unpublished works

•  Solym M. Manou-Abi (2017).  Rate of convergence to stable law using zolotarev distance: technical report. https://doi.org/10.48550/arXiv.1712.09294

• Solym M. Manou-Abi and Julien Balicchi (2020).  Analysis of the COVID-19 epidemic in french overseas department Mayotte based on a modified deterministic and stochastic SEIR model. MedRxiv, 2020-04 

► PAPERS IN PROGRESS

• Solym Manou-Abi and al. Statistical learning from stable distributions :  regressions models  and quantile statistics with application to real datasets.  In progress

• Solym Manou-Abi and al. Training Linears Kernel regression models with stable errors.

• Solym M. Manou-Abi. Bayesian inference for  discretely observed stable driven stochastic models with application. 

• Solym M. Manou-Abi. Stable driven stochastic models: ergodic and mixing properties under Wasserstein and total variation distances. 

• Solym M. Manou-Abi. Stein Method for Stable Laws and Machine Learning: A new Framework for robust Learning with Heavy-Tailed Data.

• Solym M. Manou-Abi, Stefana Taberra Tsillefa and Angelo Rahenirina. Learning and Estimation of Stable-Driven Stochastic Differential Equations with Physics-Informed Neural Networks. 

► PROJECTS  (with financial support)

• Python and R Library project for parameter estimation of stable laws and for simulations of stable driven SDEs.

• Anomalous Diffusions for Image Generation (AnDIG): Investigation of anomalous diffusions driven by stable processes for the synthesis of non-standardly distributed images.

• Solving Stable-Driven Stochastic Differential Equations with Physics Informed Neural Networks (PINNs)

• Stein Method for Stable Laws and Machine Learning: A new Framework for robust Learning with Heavy-Tailed Data.