Class Central is learner-supported. When you buy through links on our site, we may earn an affiliate commission.

YouTube

Computing Generalized Ranks of Persistence Modules via Unfolding to Zigzag Modules

Applied Algebraic Topology Network via YouTube

Overview

Explore a 46-minute conference talk by Tamal Dey on computing generalized ranks of persistence modules through unfolding to zigzag modules. Delve into the concept of generalized rank for persistence modules indexed by finite posets and its calculation using limit-to-colimit map ranks. Examine the extension of a 2-parameter persistence module algorithm to d-parameter and general persistence modules using an unfolding technique. Learn about an efficient algorithm for computing generalized ranks of modules induced by simplicial complex filtrations over finite posets. Discover optimized algorithms for special cases, including a linear time algorithm for graphs in degree-1 homology. Gain insights into advanced topics in applied algebraic topology and persistent homology through this presentation from the Applied Algebraic Topology Network.

Syllabus

Tamal Dey (8/24): Computing Generalized Ranks of Persistence Modules via Unfolding to Zigzag Modules

Taught by

Applied Algebraic Topology Network

Reviews

Start your review of Computing Generalized Ranks of Persistence Modules via Unfolding to Zigzag Modules

Never Stop Learning.

Get personalized course recommendations, track subjects and courses with reminders, and more.

Someone learning on their laptop while sitting on the floor.