Communication-efficient distributed eigenspace estimation with arbitrary node failures

Vasileios Charisopoulos; Anil Damle

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arXiv · 2206.00127

Communication-efficient distributed eigenspace estimation with arbitrary node failures

Vasileios Charisopoulos·Anil Damle

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Abstract

We 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 $\tilde{O}(\sigma \sqrt{\alpha})$ error, where $\sigma^2$ is the variance of the existing estimator and $\alpha$ is the fraction of corrupted nodes.

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Vasileios Charisopoulos, Anil Damle. 2022-05-31. Communication-efficient distributed eigenspace estimation with arbitrary node failures. https://arxiv.org/abs/2206.00127

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