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cs.LG2024
Improving PINNs By Algebraic Inclusion of Boundary and Initial Conditions
Mohan Ren, Zhihao Fang, Keren Li +1
"AI for Science" aims to solve fundamental scientific problems using AI techniques. As most physical phenomena can be described as Partial Differential Equations (PDEs) , approxima…
cs.LG2024
Regularized Gradient Clipping Provably Trains Wide and Deep Neural Networks
Matteo Tucat, Anirbit Mukherjee, Procheta Sen +2
We present and analyze a novel regularized form of the gradient clipping algorithm, proving that it converges to global minima of the loss surface of deep neural networks under the…