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Why Learning Rediscovers the Closed-Form Diagonal Regularizer

Han, Jeahn et al.
arXiv (All) · Papers
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audio-and-speech-processingmachine-learningrobotics
We identify a diagonal saturation principle in modal inverse problems: when truncation noise is isotropic, the Bayes-optimal Tikhonov shape is a closed-form power law Gamma_k proportional to lambda_k^|s| set by the prior alone, independent of the domain. Berry's random-wave conjecture decorrelates t
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