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math.ST2022
Precise Asymptotics for Spectral Methods in Mixed Generalized Linear Models
Yihan Zhang, Marco Mondelli, Ramji Venkataramanan
In a mixed generalized linear model, the goal is to learn multiple signals from unlabeled observations: each sample comes from exactly one signal, but it is not known which one. We…
math.ST2022
Mean Estimation in High-Dimensional Binary Markov Gaussian Mixture Models
Yihan Zhang, Nir Weinberger
We consider a high-dimensional mean estimation problem over a binary hidden Markov model, which illuminates the interplay between memory in data, sample size, dimension, and signal…