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

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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¨

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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.

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Research Topic

Simple illustration: Consider a link graph M = c

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g vT + (1 − c) e vT Solve the eigenvector problem: πT = πTM. PR(i) = πi.

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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.

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Tack s˚ a mycket! Thank you!

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