Convex and non-convex optimization
- Non-Convex Optimization
The task is to select an optimal error-correcting code for data transmission in a multi-user network with several independent signal sources in the presence of restrictions on the power of the transmitted signal and the given noise model.
The mathematical model of the process has been described as a problem of nonlinear non-convex optimization with complex variables. To solve this problem the methods of partial optimization have been adapted with alternate fixing variables responsible for various stages of coding. The results were issued in the form of a report containing a step-by-step description of the solution to the specific formula and Matlab code, tested on different data sets.
Virtual try-on tool for makeup products
The system consists of a face detection and segmentation model and an algorithm that allows recoloring objects without losing their original texture.
Workout helper app
Mobile app for the estimation of proper body positions during the workout.
Model for restoring blurred and pixelated faces in a photo.