Explore topological data analysis (TDA) applications in pattern statistics and model comparison through this insightful lecture. Delve into stochastic agent-based models of zebrafish-skin patterns, learning how TDA quantifies emerging patterns, computes summary statistics, and facilitates model and parameter set comparisons. Discover the design of feature functions for pattern classification and tracking bifurcation and transition curves in parameter space. Gain valuable insights from collaborative research on data-driven approaches to tackle complex pattern analysis problems in biological systems.
Pattern Statistics and Model Comparison via Topological Data Analysis
Applied Algebraic Topology Network via YouTube
Overview
Syllabus
Björn Sandstede (05/15/24): Pattern statistics and model comparison via topological data analysis
Taught by
Applied Algebraic Topology Network