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How Far is Adam from Natural Gradient Descent?

arXiv:2610.00004v1 Announce Type: new Abstract: Adam is the standard optimizer in deep learning, yet its geometric relationship to natural gradient descent (NGD) contains unresolved questions. We study Adam's full update rule, including momentum, as a diagonal empirical Fisher approximation subject…

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  1. 2026-10-02 04:00 · arXiv cs.LG
    How Far is Adam from Natural Gradient Descent?

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