Speaker: Prof. Michael Lesnick (University of Albany-SUNY, USA)

Title: Density-Sensitive bifiltrations in TDA

Abstract: The standard filtrations of TDA (Rips, Čech, Delaunay) are stable to small perturbations of the input data, but are notoriously unstable to outliers, and can be insensitive to variations in density.  One of the main motivations of 2-parameter persistence is to address these limitations.  There are several interesting ways one can define a density-sensitive bifiltration of point cloud or metric data, offering different tradeoffs between generality, computability, and robustness to outliers.  Such bifiltrations have been actively studied in recent years, leading to substantial advances in our understanding of them, as well as new computational tools.  In this talk, I will survey this progress.

Time: 14:00-15:30, July 30, 2025

This talk will also be broadcast online via Zoom:
Zoom Link
Meeting ID: 947 8296 0593
Passcode: 584111

This talk is part of the Thematic Program TDA PARTI: Topological Data Analysis, Persistence And Representation Theory Intertwined.