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Combinatorial Threshold-Linear Networks (CTLNs)
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Classroom Contents
Nerve Theorems for Fixed Points of Neural Networks
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- 1 Intro
- 2 How does connectivity shape activity?
- 3 Combinatorial Threshold-Linear Networks (CTLNs)
- 4 A diversity of dynamical behaviour
- 5 Dynamic attractors "live around fixed points"
- 6 Graph structure and CTLN fixed points
- 7 Nerves: divide and conquer
- 8 Directional graphs Agraph G is directional there is a partition of its nodes V
- 9 DAG decompositions
- 10 Directional graphs and feed-forward networks
- 11 Directional covers and their nerves
- 12 Basic examples
- 13 Theorem (DAG decomposition)
- 14 5-clique chain example Graph G
- 15 Theorem (cycle nerve)
- 16 Grid graph
- 17 Network engineering: Grid as a nerve
- 18 Dynamical prediction
- 19 Summary
- 20 Thank you for listening
- 21 Iterating the construction
