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Paper · arXiv

A Random-Matrix Criterion for Initializing Gated Recurrent Neural Networks

Proper weight initialization prior to training has historically been one of the key factors that helped kick off the deep learning revolution. Initialization is even more crucial in "reservoir computing", where the weights of a readout layer are learned linearly while the reservoir weights are fixed and largely determine the richness, stability and memory of the resulting dynamics. In the infinite-width limit it has been shown that meaningful initializations are those sitting at an effective critical point of the randomly initialized model. The phase transition is controlled by the weight variance $g^2$ and separates an ordered phase from a chaotic one where information progressively degr...

AuthorsTommaso Fioratti, Riccardo Marcaccioli, Francesco Casola
Primary categorycs.LG
Published11 May 2026
Last updated at source11 May 2026
cs.LGcond-mat.dis-nn
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