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Pattern Statistics and Model Comparison via Topological Data Analysis

Applied Algebraic Topology Network via YouTube

Overview

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.

Syllabus

Björn Sandstede (05/15/24): Pattern statistics and model comparison via topological data analysis

Taught by

Applied Algebraic Topology Network

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