Title:
Improved Analysis of Higher Order Random Walks and Applications
Improved Analysis of Higher Order Random Walks and Applications
dc.contributor.author | Alev, Vedat Levi | |
dc.contributor.corporatename | Georgia Institute of Technology. Algorithms, Randomness and Complexity Center | en_US |
dc.contributor.corporatename | University of Waterloo. School of Computer Science | en_US |
dc.date.accessioned | 2020-02-20T23:55:22Z | |
dc.date.available | 2020-02-20T23:55:22Z | |
dc.date.issued | 2020-02-10 | |
dc.description | Presented on February 10, 2020 at 11:00 a.m. in the Klaus Advanced Computing Building, Room 1116E. | en_US |
dc.description | Vedat Levi Alev is a PhD student in computer science at the University of Waterloo. He is broadly interested in spectral graph theory, random walks, and approximation algorithms. | en_US |
dc.description | Runtime: 53:36 minutes | en_US |
dc.description.abstract | Local spectral expansion is a very useful method for arguing about the spectral properties of several random walk matrices over simplicial complexes. The motivation of this work is to extend this method to analyze the mixing times of Markov chains for combinatorial problems. Our main result is a sharp upper bound on the second eigenvalue of the down-up walk on a pure simplicial complex, in terms of the second eigenvalues of its links. We show some applications of this result in analyzing mixing times of Markov chains including sampling independent sets of a graph. (https://arxiv.org/abs/2001.02827) Joint work with: Lap Chi Lau | en_US |
dc.format.extent | 53:36 minutes | |
dc.identifier.uri | http://hdl.handle.net/1853/62460 | |
dc.language.iso | en_US | en_US |
dc.relation.ispartofseries | Algorithms and Randomness Center (ARC) Colloquium | |
dc.subject | Higher order random walks | en_US |
dc.subject | Markov chains | en_US |
dc.title | Improved Analysis of Higher Order Random Walks and Applications | en_US |
dc.type | Moving Image | |
dc.type.genre | Lecture | |
dspace.entity.type | Publication | |
local.contributor.corporatename | Algorithms and Randomness Center | |
local.contributor.corporatename | College of Computing | |
local.relation.ispartofseries | ARC Colloquium | |
relation.isOrgUnitOfPublication | b53238c2-abff-4a83-89ff-3e7b4e7cba3d | |
relation.isOrgUnitOfPublication | c8892b3c-8db6-4b7b-a33a-1b67f7db2021 | |
relation.isSeriesOfPublication | c933e0bc-0cb1-4791-abb4-ed23c5b3be7e |
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