Ran Levi - Bedlewo: Topological Analysis of Neural Networks

Ran Levi - Bedlewo: Topological Analysis of Neural Networks

Applied Algebraic Topology Network via YouTube Direct link

Line digraphs and relations among highway graphs

14 of 15

14 of 15

Line digraphs and relations among highway graphs

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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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