Deep Learning and Computations of PDEs by Siddhartha Mishra

Deep Learning and Computations of PDEs by Siddhartha Mishra

International Centre for Theoretical Sciences via YouTube Direct link

Intro

1 of 17

1 of 17

Intro

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Deep Learning and Computations of PDEs by Siddhartha Mishra

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  1. 1 Intro
  2. 2 Partial Differential Equations (PDES)
  3. 3 Uncertainty Quantification
  4. 4 Supervised learning with Deep Neural networks
  5. 5 Supervised learning for high-d Parametric PDES
  6. 6 Refined Error Estimates
  7. 7 Training on Low-Discrepancy Sequences
  8. 8 PDE constrained Optimization
  9. 9 Tsunami in the Mediterranean sea
  10. 10 DL for Many-Query Problems: Further Issues
  11. 11 Operator Learning
  12. 12 DeepOnet Decomposition
  13. 13 Bounds on Reconstruction Error
  14. 14 Bounds on Encoding Error
  15. 15 Bounds on the Approximation Error
  16. 16 Out of Distribution Evaluations
  17. 17 Deep learning and High-dimensional PDES

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