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OthmaneAnalytics/README.md

Othmane Mazhar

I am a postdoctoral researcher at the Institute Louis Bachelier and Fondation du Risque in Paris.

My research develops mathematical and statistical foundations for learning and generating stochastic systems from dependent data, with particular emphasis on stochastic generative models, optimal transport, stochastic control, and PDE methods.

My current programme focuses on Schrödinger–Bass transport, statistical learning of stochastic bridge dynamics, path-space probability, and the stability and uncertainty quantification of generated path laws.

Research areas

  • Mathematical statistics for dependent data
  • Stochastic generative models
  • Optimal transport and stochastic control
  • Schrödinger and Schrödinger–Bass bridges
  • High-dimensional probability
  • Reliable scientific machine learning

Selected work

Direct Estimation of Schrödinger Bridge Time-Series Drifts

Direct nonparametric estimation of time-dependent Schrödinger-bridge drifts, with finite-sample, adaptive, asymptotic, and minimax guarantees.

Paper · Code

Bridging Schrödinger and Bass

A semimartingale optimal-transport framework that jointly controls drift and volatility.

Paper

Finite Impulse Response Models

Non-asymptotic analysis of least-squares estimation for dependent system-identification models.

Journal article · Preprint

Collaborative software

  • SBBTS: Schrödinger–Bass modelling for synthetic financial time series
  • LightSBB-M: scalable Schrödinger–Bass generative modelling

Academic links

Pinned Loading

  1. sb-drift-experiments sb-drift-experiments Public

    Reproducible experiments for direct nonparametric estimation of Schrödinger-bridge time-series drifts.

    Python