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08 October 2024
 
  » arxiv » 2206.00127

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Communication-efficient distributed eigenspace estimation with arbitrary node failures
Vasileios Charisopoulos ; Anil Damle ;
Date 1 Jun 2022
AbstractWe develop an eigenspace estimation algorithm for distributed environments with arbitrary node failures, where a subset of computing nodes can return structurally valid but otherwise arbitrarily chosen responses. Notably, this setting encompasses several important scenarios that arise in distributed computing and data-collection environments such as silent/soft errors, outliers or corrupted data at certain nodes, and adversarial responses. Our estimator builds upon and matches the performance of a recently proposed non-robust estimator up to an additive $ ilde{O}(sigma sqrt{alpha})$ error, where $sigma^2$ is the variance of the existing estimator and $alpha$ is the fraction of corrupted nodes.
Source arXiv, 2206.00127
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