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Summary of Increasing Both Batch Size and Learning Rate Accelerates Stochastic Gradient Descent, by Hikaru Umeda et al.


Increasing Both Batch Size and Learning Rate Accelerates Stochastic Gradient Descent

by Hikaru Umeda, Hideaki Iiduka

First submitted to arxiv on: 13 Sep 2024

Categories

  • Main: Machine Learning (cs.LG)
  • Secondary: Optimization and Control (math.OC)

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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 paper investigates the performance of mini-batch stochastic gradient descent (SGD) by analyzing four schedulers: constant batch size and decaying learning rate, increasing batch size and decaying learning rate, increasing batch size and increasing learning rate, and increasing batch size and warm-up decaying learning rate. The study reveals that using schedulers (i), (ii), or (iii) does not always minimize the expectation of the full gradient norm of the empirical loss, whereas scheduler (iv) accelerates mini-batch SGD and minimizes the full gradient norm faster than others. The results are supported by numerical analyses.
Low GrooveSquid.com (original content) Low Difficulty Summary
The paper looks at how to make a type of machine learning algorithm called mini-batch stochastic gradient descent work better. It tries four different ways to do this, called schedulers, and finds that one of them makes the algorithm work faster and better than the others. This is important because it could help people use these algorithms more effectively.

Keywords

» Artificial intelligence  » Machine learning  » Stochastic gradient descent