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Summary of Stochastic Gradient Descent For Streaming Linear and Rectified Linear Systems with Adversarial Corruptions, by Halyun Jeong et al.


Stochastic gradient descent for streaming linear and rectified linear systems with adversarial corruptions

by Halyun Jeong, Deanna Needell, Elizaveta Rebrova

First submitted to arxiv on: 2 Mar 2024

Categories

  • Main: Machine Learning (cs.LG)
  • Secondary: Numerical Analysis (math.NA); Machine Learning (stat.ML)

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GrooveSquid.com Paper Summaries

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Summary difficulty Written by Summary
High Paper authors High Difficulty Summary
Read the original abstract here
Medium GrooveSquid.com (original content) Medium Difficulty Summary
The proposed SGD-exp approach addresses robustness concerns in linear and ReLU regressions under Massart noise, a semi-random corruption model. This paper provides novel guarantees for nearly linear convergence to the true parameter with up to 50% corruption rate or symmetric oblivious corruptions. The improved convergence rate over previous methods is attributed to an exponentially decaying step size, which has been shown to be efficient in practice.
Low GrooveSquid.com (original content) Low Difficulty Summary
This research shows a new way to train models that are resistant to noise and errors. By using a special kind of gradient descent, the model can learn even when some data points are corrupted or missing. The method is tested on linear and ReLU regressions and shows good results. This means that it could be useful for real-world applications where data is noisy or incomplete.

Keywords

* Artificial intelligence  * Gradient descent  * Relu