Lecture notes on the replica trick for the log-determinant of a Wishart matrix
An addendum to my existing lecture notes on the extremal eigenvalues of a Wishart matrix, written in response to a question from Binxu Wang. When time allows, I’ll integrate these with my existing notes.
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Lecture notes on the inductive biases of high-dimensional ridge regression
Notes for two guest lectures on high-dimensional ridge regression given as part of Harvard AM 226 Fall 2024. Roughly based on our paper with Alex Atanasov.
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Lecture notes on Gaussian process behavior in wide neural networks
Lecture notes introducing the NNGP correspondence using mean field theory, prepared for a tutorial I gave at the HHMI Janelia Junior Scientist Workshop on Theoretical Neuroscience in November 2022.
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Lecture notes on the replica method for Wishart matrix eigenvalues
Lecture notes introducing the replica trick through the example of Wishart matrix eigenvalues, prepared for Harvard AM 226 Fall 2022.
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