PageRank algorithms for changing networks and analysis of big data - PowerPoint PPT Presentation

PageRank algorithms for changing networks and analysis of big data Pitos Seleka Biganda Department of Mathematics, University of Dar es Salaam Division of Applied Mathematics, The School of Education, Culture and Communication, M¨ alardalen University First Network Meeting for Sida- and ISP-funded PhD Students in Mathematics Stockholm 7–8 March 2017 1 / 6

My Advisors Sergei Silvestrov Anatoliy Malyarenko Milica Rancic Main supervisor Assistant supervisor Assistant supervisor M¨ alardalen University M¨ alardalen University M¨ alardalen University Dmitrii Silvestrov Christopher Engstr¨ om Nyimvua Shabani Assistant supervisor Assistant supervisor Assistant supervisor Stockholm University M¨ alardalen University University of Dar es Salaam 2 / 6

Research Topic My research focuses on Developing new computational algorithms for ranking within complex networks. Applying the aforementioned methods and statistical methods to analysis of big data arising in bioinformatics, computational electromagnetics and financial engineering applications. Methods: Combined use of matrix analysis, graph theory and stochastic processes (Markov chains and random walks). Mathematical software, e.g., Matlab and Maple, will be used. 3 / 6

Research Topic Simple illustration: Consider a link graph � v T � v T M = c P + � + (1 − c ) � g � e � π T = � π T M . Solve the eigenvector problem: � PR( i ) = π i . 4 / 6

Impact and Applications of My Research The outcome of the research will improve and expand the existing methods and algorithms used by modern Internet search engines. financial engineers will benefit from the methods to be developed in analyzing their financial data. 5 / 6

Tack s˚ a mycket! Thank you! 6 / 6