Two-layer linear denoising autoencoders show a bias-variance trade-off in bottleneck width, and skip connections reduce variance near the interpolation peak.
Eigenvalues of Large Sample Covariance Matrices of Spiked Population Models
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abstract
We consider a spiked population model, proposed by Johnstone, whose population eigenvalues are all unit except for a few fixed eigenvalues. The question is to determine how the sample eigenvalues depend on the non-unit population ones when both sample size and population size become large. This paper completely determines the almost sure limits for a general class of samples.
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Impact of Bottleneck Layers and Skip Connections on the Generalization of Linear Denoising Autoencoders
Two-layer linear denoising autoencoders show a bias-variance trade-off in bottleneck width, and skip connections reduce variance near the interpolation peak.