The Mathematics of Artificial Intelligence

The Mathematics of Artificial Intelligence

International Mathematical Union via YouTube Direct link

What can Deep Neural Networks do?

29 of 33

29 of 33

What can Deep Neural Networks do?

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The Mathematics of Artificial Intelligence

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  1. 1 Intro
  2. 2 The Dawn of Artificial Intelligence in Public Life
  3. 3 Spectacular Success in Science
  4. 4 Impact on Mathematical Problem Settings
  5. 5 Artificial Intelligence = Alchemy?
  6. 6 Problem with Reliability
  7. 7 Role of Mathematics Two Key Challenges for Mathematics
  8. 8 First Appearance of Neural Networks
  9. 9 Artificial Neurons
  10. 10 Affine Linear Maps and Weights
  11. 11 Definition of a Deep Neural Network
  12. 12 Training of Deep Neural Networks
  13. 13 Mathematics for Artificial Intelligence
  14. 14 Glimpse into Generalization
  15. 15 Graph Neural Networks
  16. 16 A Special Form of Generalization Capability
  17. 17 Generalization Result
  18. 18 Glimpse into Explainability
  19. 19 Artificial Intelligence for Mathematics
  20. 20 Anisotropic Structures as Model for Images
  21. 21 (Cone-adapted) Discrete Shearlet Systems
  22. 22 Optimally Sparse Approximation Theorem (K. Lin, 2011)
  23. 23 Solving Inverse Problems
  24. 24 (Limited Angle) Computed Tomography
  25. 25 Zooming in on the Limited-Angle CT Problem
  26. 26 Numerical Results
  27. 27 Deep Network Shearlet Edge Extractor (DeNSE)
  28. 28 Numerical Deep Learning Approaches to PDES
  29. 29 What can Deep Neural Networks do?
  30. 30 Theoretical Results
  31. 31 A Serious Problem Computability on Digital Machines (informal)
  32. 32 Some Thoughts on the Result
  33. 33 Conclusions

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