Ran Levi - Bedlewo: Topological Analysis of Neural Networks

Ran Levi - Bedlewo: Topological Analysis of Neural Networks

Applied Algebraic Topology Network via YouTube Direct link

The Flag Complex

5 of 15

5 of 15

The Flag Complex

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Ran Levi - Bedlewo: Topological Analysis of Neural Networks

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  1. 1 Intro
  2. 2 What can a topologist and a neuroscientist talk about?
  3. 3 Neurons in the cortex come in 55 distinct morphological types spread across 6 layers of the cortex.
  4. 4 55 morphological types of neurons, 6 Layers
  5. 5 The Flag Complex
  6. 6 Alstract ordered simplicial complexes and the directed flag complex of a directed graph
  7. 7 Reciprocal connections
  8. 8 Analysis of the Blue Brain Project Reconstruction
  9. 9 OK, so both a rat and a c-elegans have notrivial brains, topologically speaking, BUT
  10. 10 Activity: The Transmission-Response method
  11. 11 Point vs. Circle Experiment
  12. 12 "Applied" applied topology (?)
  13. 13 Highway graphs - some observations
  14. 14 Line digraphs and relations among highway graphs
  15. 15 Example 2

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