Paper Reading AI Learner

How AI settled the complexity of the oldest SGD algorithm

2026-06-28 20:27:52
Micha{\l} Derezi\'nski, Xiaoyu Dong
arXiv_AI
         
Abstract

In 1937, Stefan Kaczmarz proposed a simple algorithm for solving systems of linear equations. This algorithm turned out to be the earliest known example of stochastic gradient descent, a ubiquitous computing paradigm that drives the training of modern AI models such as ChatGPT and Gemini. Now, those AI models have joined forces to discover the worst-case complexity of the Kaczmarz algorithm. This paper tells the story of how it happened.

Abstract (translated)

URL

https://arxiv.org/abs/2606.29593

PDF

https://arxiv.org/pdf/2606.29593.pdf

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