Current Research interests

Mathematics and Biosciences

Genomics and Proteomics
- Microarray Data : Sparse Modeling of Genes Interactions Networks
- MicroRNAs Expression Data : Impact on Cancer Survival Rates
- Proteomic Mass Spectra : Discovery of Discriminating Signatures

Bacterial Genetic Evolution : Stochastic Models
- Genetic Evolution with Periodic Selection : Large Deviations
- Most Likely Evolution Paths in Fitness Landscape
- Model Fitting to Bacterial Evolution Data

Medical Imaging : 3D- EchoCardiography Analysis
- Patient Specific Dynamic Modeling of Mitral Valves
- Patient Specific Strain Distribution on Mitral Leaflets

Mathematics and 3D-Image analysis

Soft Shapes in R³
- Diffeomorphic Matching and NonLinear Optimal Control
- Soft Shapes Dynamics : Extraction from 3D-Image Sequences
- Shapes Distances Invariant by Diffeomorphisms

3D - Textures
- Multi-Resolution by Rotation Covariant Steerlets
- Rotation Invariant Distances between Textures

Soft Shapes in R³
- Diffeomorphic Matching and NonLinear Optimal Control
- Soft Shapes Dynamics : Extraction from 3D-Image Sequences
- Shapes Distances Invariant by Diffeomorphisms

Highly Collimated X-Ray data
- New ROI-Reconstruction Algorithms
- Critical Radius for Region of Interest Collimation

Probability and Statistics

Stochastic Differential Equations :
- Small Perturbations of Delayed ODEs : Large Deviations
- Sub-Sampled Estimators of SDE Parameters from Approximate Data

Data Mining and Automatic Learning
- Kernel Based Clustering and Automatic Learning
- Multi Factors Causality analysis

Mathematical Finance
- Online Performance Monitoring for Algorithmic Trading
- Option Pricing : Impact of Heston SDEs Modeling Errors
- Heston SDE Fitting to Realized Volatility Data

Research Projectes

Digital stains for live-cell microscopy
( R. Azencott, B. Bodmann, Thomas Hudson (MD), Robert Sladek (MD) )

Intra-cardiac echographies : computing myocardium deformations
(Dirar Khoury MD, Robert Azencott)

Doppler cardiac echographies : Diagnosis of dysfunctional strains
(Sherif Nagueh MD, Robert Azencott)

Networks - neuronal networks, gene interaction networks
( M. Golubitski, K. Josic, R. Azencott )

Image Analysis : Texture segmentation / identification
(R. Azencott, B. Bodmann, M. Papadakis )