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Communication-efficient sparse regression: a one-shot approach
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We devise a one-shot approach to distributed sparse regression in the high-dimensional setting. The key idea is to average "debiased" or "desparsified" lasso estimators. We show the approach converges at the same rate as the lasso as long as the dataset is not split across too many machines. We also extend the approach to generalized linear models.
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Least Squares Approximation for a Distributed System
A distributed least squares approximation combines local estimators weighted by inverse covariance to match global estimator efficiency with one communication round.
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