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SUMMARY:Furqan Aziz (University of Birmingham)
DTSTART:20210525T140000Z
DTEND:20210525T150000Z
DTSTAMP:20260423T034448Z
UID:DSCSS/20
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/DSCSS/20/">B
 acktrackless walks on a graph</a>\nby Furqan Aziz (University of Birmingha
 m) as part of Data Science and Computational Statistics Seminar\n\n\nAbstr
 act\nThe aim of this talk is to explore the use and applications of backtr
 ackless walks on a graph. We will discuss how the backtrackless walks and 
 the coefficients of the reciprocal of the Ihara zeta function\, which are 
 related to the frequencies of prime cycles in the graph\, can be used to i
 mplement graph kernels. We will further present explicit methods for compu
 ting the eigensystem of the edge-based Laplacian of a graph. This reveals 
 a connection between the eigenfunctions of the edge-based Laplacian and bo
 th the classical random walk and the backtrackless random walk on a graph.
  The definition of edge-based Laplacian allows us to define and implement 
 more complex partial differential equations on graphs such as the second o
 rder wave equation.\n
LOCATION:https://researchseminars.org/talk/DSCSS/20/
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