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Persistent homological invariant
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Classroom Contents
Sheaf Based Modeling of Wireless Communications
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- 1 Intro
- 2 Acknowledgements
- 3 Problem statement
- 4 An abstracted methodology - Avoid specifying and committing to a high fidelity
- 5 Answering the challenge
- 6 Topology #topology
- 7 Simplicial complexes
- 8 Tying in the physical model
- 9 Link complex
- 10 Interference complex
- 11 The two complexes are not the same
- 12 Persistence and model robustness
- 13 Network activation
- 14 A sheaf is...
- 15 Wireless activation sheaf
- 16 Sections of activation sheaves
- 17 Region of influence
- 18 Persistent homological invariant
- 19 Interference filtration
- 20 Simulation example
- 21 Relative homological invariant
- 22 Results for a random network
- 23 Lifting queues to switches
- 24 Categorification to the rescue?
- 25 Experimental setup . Using the ns 2 network simulator to generate traffic
- 26 Initial simulation
