Convex and non-convex optimization
- Complex Numerical Analysis
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.
Model for restoring blurred and pixelated faces in a photo.
Workout helper app
Mobile app for the estimation of proper body positions during the workout.
Car rental price simulation and prediction
The goal of the project is to train models for car rental price prediction in Japan based on the prices and demand for car rental from some Japanese car rental companies and the history of weather data in Japan.