Deep Learning and Computations of PDEs by Siddhartha Mishra
International Centre for Theoretical Sciences via YouTube
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Overview
Syllabus
Intro
Partial Differential Equations (PDES)
Uncertainty Quantification
Supervised learning with Deep Neural networks
Supervised learning for high-d Parametric PDES
Refined Error Estimates
Training on Low-Discrepancy Sequences
PDE constrained Optimization
Tsunami in the Mediterranean sea
DL for Many-Query Problems: Further Issues
Operator Learning
DeepOnet Decomposition
Bounds on Reconstruction Error
Bounds on Encoding Error
Bounds on the Approximation Error
Out of Distribution Evaluations
Deep learning and High-dimensional PDES
Taught by
International Centre for Theoretical Sciences