In the name of God |
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Shayan Oveis GharanAssociate ProfessorComputer Science and Engineering University of Washington A short bio and my CV |
I am mainly interested in the design and analysis of algorithms using algebraic techniques.
In Spring 2019 I co-organized a semester long program on Geometry of Polynomials. Here is a research vignette about my works on Log-concave polynomials with connections to the Geometry of Polynomials program.
F. Ebrahimnejad, A. Nagda, S. Oveis Gharan, On approximability of the Permanent of PSD matrices, submitted 2024.
D. Abdolazimi, K. Lindberg, S. Oveis Gharan, On Optimization and Counting of Non-Broken Bases of Matroids, Random 2023.
A. Karlin, N. Klein, S. Oveis Gharan, A (Slightly) Improved Deterministic Approximation Algorithm for Metric TSP, IPCO, 2023.
A. Abdolazimi, S. Oveis Gharan, An Improved Trickle-Down Theorem for Partite Complexes, CCC 2023.
D. Abdolazimi, A. Karlin, N. Klein, S. Oveis Gharan, Matroid Partition Property and the Secretary Problem, ITCS 2023.
A. Karlin, N. Klein, S. Oveis Gharan, A (Slightly) Improved Bound on the Integrality Gap of the Subtour LP for TSP, FOCS 2022.
F. Ebrahimnejad, A. Nagda, S. Oveis Gharan Counting and Sampling Perfect Matchings in Regular Expanding Non-Bipartite Graphs, ITCS 2022.
A. Karlin, N. Klein, S. Oveis Gharan, X. Zhang An Improved Approximation Algorithm for the Minimum k-Edge Connected Multi-Subgraph Problem, STOC 2022.
D. Abdolazimi, K. Liu, S. Oveis Gharan, A Matrix Trickle-Down Theorem on Simplicial Complexes and Applications to Sampling Colorings, FOCS 2021.
N. Anari, K. Liu, S. Oveis Gharan, Cynthia Vinzant, T. Vuong, Log-Concave Polynomials IV: Approximate Exchange, Tight Mixing Times, and Near-Optimal Sampling of Forests, STOC 2021.
A. Karlin, N. Klein, S. Oveis Gharan, A (Slightly) Improved Approximation Algorithm for Metric TSP, STOC 2021.
N. Anari, K. Liu, S. Oveis Gharan, Spectral Independence in High-Dimensional Expanders and Applications to the Hardcore Model, FOCS 2020, invited to special issue.
N. Anari, K. Liu, S. Oveis Gharan, C. Vinzant, Log-Concave Polynomials III: Mason's Ultra-Log-Concavity Conjecture for Independent Sets of Matroids, submitted, 2018.
N. Anari, K. Liu, S. Oveis Gharan, C. Vinzant, Log-Concave Polynomials II: High-Dimensional Walks and an FPRAS for Counting Bases of a Matroid, STOC 2019.
N. Anari, S. Oveis Gharan, C. Vinzant, Log-Concave Polynomials I: Entropy and a Deterministic Approximation Algorithm for Counting Bases of Matroids, FOCS 2018.
N. Anari, S. Oveis Gharan, Effective-Resistance-Reducing Flows, Spectrally Thin Trees, and Asymmetric TSP. See also our recent extension of the proof of Kadison-Singer conjecture by Marcus, Spielman, and Srivastava. See this note for a somewhat short exposition of the ideas. Also, here are short and long presentations of the ideas of the paper. See here for a nice article by Dana Mackenzie about this article.
S. Oveis Gharan, New Rounding Techniques for the Design and Analysis of Approximation Algorithms , PhD thesis, Stanford 2013, ACM Doctoral Dissertation Award Honorable Mention.
S. Oveis Gharan, A. Saberi, M. Singh, A Randomized Rounding Approach to the Traveling Salesman Problem. , FOCS 2011, best paper award.
J. R. Lee, S. Oveis Gharan, L. Trevisan, Multi-way spectral partitioning and higher-order Cheeger inequalities , STOC 2012, JACM 2014.
A. Asadpour, A. Madry, M. Goemans, S. Oveis Gharan, A. Saberi, An O(log n/ log log n)-approximation Algorithm for the Asymmetric Traveling Salesman Problem , SODA 2010, best paper award.
See here for a full list of my publications.Students / Mentee: