Research
Inverse problems in signal and image processing,
computer vision
- Super resolution
- Image restoration
- Optical flow and motion estimation
- Image priors, Bayesian approach
- Sparse decomposition of signals
- Shape from moments
- Nonlinear filtering of signals
- Stochastic estimators
- Image compression
- Video processing
Numerical analysis - optimization theory, Numerical
Linear Algebra
- Large linear systems
- Linear programming and primal-dual methods
- Non-linear programming
- Multi-grid
- Dynamic systems (Kalman Filter)
- Eigenvalue problems
- L1 and L0 minimization
Machine learning algorithms
- Support Vector Machine (SVM) and related methods
- Application - Detection of faces in images
- Searching in multimedia databases
- Dimensionality reduction
