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Summary of Old Optimizer, New Norm: An Anthology, by Jeremy Bernstein and Laker Newhouse


Old Optimizer, New Norm: An Anthology

by Jeremy Bernstein, Laker Newhouse

First submitted to arxiv on: 30 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 abstract presents a novel perspective on deep learning optimizers, arguing that three popular methods – Adam, Shampoo, and Prodigy – can be viewed as squarely first-order methods without convexity assumptions. By analyzing these methods and their relationships to steepest descent under various norms, the authors chart a new design space for training algorithms. This approach involves assigning different operator norms to tensors based on their roles within the network, which could lead to more stable, scalable, and faster training.
Low GrooveSquid.com (original content) Low Difficulty Summary
This paper looks at how we train artificial neural networks. It shows that some popular ways of doing this are actually quite simple and don’t need complicated math. The authors suggest a new way of thinking about how to make these networks work better by giving different “weights” to different parts of the network based on what they do. This could help make training faster, more stable, and more efficient.

Keywords

» Artificial intelligence  » Deep learning