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On the Computational Power of Online Gradient Descent

arXiv 1807.01280 ↗First posted 3 Jul 2018cs.LG stat.MLcited by 1

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Abstract (arXiv)

We prove that the evolution of weight vectors in online gradient descent can encode arbitrary polynomial-space computations, even in very simple learning settings. Our results imply that, under weak complexity-theoretic assumptions, it is impossible to reason efficiently about the fine-grained behavior of online gradient descent.

Key facts. Cited by 1 paper in the map (data through 14 Oct 2026). First posted on arXiv 3 Jul 2018.

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