Scientific Forays

Markov Random Fields and Computer Vision

- Low Level Vision Tasks
- Gibbs Samplers and Parameters estimation
- Contours extraction ; Texture segmentation

Image Analysis Applications

- X-Ray tomography : Small number of views
- Image Data Analysis :
- X-Ray, Ultrasound, Foucault, MRI, Infra-Red, Radar

Shapes Recognition and Indexation

- 2D Shapes Deformations and Similarity
- Stochastic Deformations of 2D-Shapes
- 3D Shapes recognition
- Image contents : Indexation and Browsing

Large Deviations Theory and Applications

- Small Perturbations of Dynamic Systems
- Simulated Annealing : Speed and Parallelization
- Automatic Learning : Vapnik generalization bounds

Automatic Learning : Neural Networks

- Synchronous Boltzmann Machines
- Artificial Retinas

Automated Multi-Sensors Diagnosis

- Pattern Recognition and Automatic learning
- Multi-Sensors Diagnosis for industrial processes

Stochastic Processes and Differential Geometry

- Random Walks and Harmonic Functions on Lie groups
- Anosov diffeomorphisms and Horocycle flow
- Homogeneous manifolds with negative curvature
- Diffusions on Differentiable Manifolds

Data Modelling and Applied Statistics

- Robust Estimators
- Time Series and ARMA models

Early flirt with Algebraic Geometry

Encounters with Expert Systems