Projects Last Projects
An Extrapolated Dynamic String Averaging Method
Supervised by Simeon Reich and Rafał Zalas
The project deals with projection methods which have their origin in computerized tomography and image processing. These methods solve an optimization problem which seeks a point in the intersection of convex (constraint) sets. They do so by an iterative application of operators to the approximation point. We present a certain acceleration technique called "extrapolation". This technique allows the algorithms to take bigger steps and accelerates their convergence. We show theoretical results for the convergence of methods considered in the string averaging framework. In addition, we present a library that was developed for MATLAB which may allow researchers in the field to devise and experiment with different projection methods.
Please, see project report.
Please, see final presentation.