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IEEE Transactions on Information Theory
Article . 2024 . Peer-reviewed
License: IEEE Copyright
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Article . 2024
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https://dx.doi.org/10.48550/ar...
Article . 2023
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Efficient Federated Low Rank Matrix Recovery via Alternating GD and Minimization: A Simple Proof

Efficient federated low rank matrix recovery via alternating GD and minimization: a simple proof
Authors: Namrata Vaswani;

Efficient Federated Low Rank Matrix Recovery via Alternating GD and Minimization: A Simple Proof

Abstract

This note provides a significantly simpler and shorter proof of our sample complexity guarantee for solving the low rank column-wise sensing problem using the Alternating Gradient Descent (GD) and Minimization (AltGDmin) algorithm. AltGDmin was developed and analyzed for solving this problem in our recent work. We also provide an improved guarantee.

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Keywords

FOS: Computer and information sciences, Iterative numerical methods for linear systems, Numerical optimization and variational techniques, Computer Science - Information Theory, Information Theory (cs.IT), Learning and adaptive systems in artificial intelligence

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    influence
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Top 10%
Average
Average
Green