In double asymptotic limits, the squared singular value process of non-square matrix products obeys geometric Dyson Brownian motion whose T-transform solves a Burgers equation, producing the free log-normal law via free multiplicative convolution.
arXiv preprint arXiv:2405.16630 , year=
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Review of neural scaling laws and their relation to constraints and inductive biases when applying machine learning to physics problems.
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Statistical Properties of Training & Generalization
Review of neural scaling laws and their relation to constraints and inductive biases when applying machine learning to physics problems.