Explaining Landscape Connectivity of Low-Cost Solutions for Multilayer Nets

Explaining Landscape Connectivity of Low-Cost Solutions for Multilayer Nets

Simons Institute via YouTube Direct link

What kind of local min are connected?

8 of 19

8 of 19

What kind of local min are connected?

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Explaining Landscape Connectivity of Low-Cost Solutions for Multilayer Nets

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  1. 1 Intro
  2. 2 Mode Connectivity[Freeman and Bruna 16, Garipov et al. 18, Draxler et al. 18]
  3. 3 Outline
  4. 4 Background: non-convex optimization
  5. 5 Equivalent local minima and symmetry
  6. 6 (Partial) short answer: overparametrization
  7. 7 Deep Neural Networks
  8. 8 What kind of local min are connected?
  9. 9 Dropout stability
  10. 10 High level steps
  11. 11 Direct Interpolation
  12. 12 Connecting a network with its dropout
  13. 13 An example path for 3 layer network
  14. 14 Example path explained (3) - (4)
  15. 15 Noise stability
  16. 16 Experiments
  17. 17 Conclusions
  18. 18 Open Problems
  19. 19 How can we use mode connectivity?

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