MATH Semineri: “Matrix Reduction Algorithm and Morozov’s Worst Case Example”, Uzay Çetin, 13:30 4 Mart 2024 (EN)

You are cordially invited to the Topology Seminar organized by the Department of Mathematics.

Speaker: Uzay Cetin (Bilkent University)
“Matrix Reduction Algorithm and Morozov’s Worst Case Example”

Abstract: Matrix reduction algorithm on a simplicial complex is a fairly new wave in persistent homology due to its implementations on programs like Ripser and many algorithms that have been built upon that. Persistent algorithm dates back to 2002 with a pairing algorithm and its runtime has been shown to be O(N^3). Morozov in his 2005 article gives an explicit example of the existence of this case. In my talk, I will talk about the matrix reduction and how it is done, and explain why the example runs at O(N^3) by combining the logic behind pairing and matrix algorithms. After that, I will also mention an alternative example and in which ways it improves the original example.

Date: Monday, March 4, 2024
Time: 13:30 UTC+3
Place: SA141 – Mathematics Seminar Room & ZOOM

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