# Convergence rates for the stochastic gradient descent method for non-convex objective functions

arXiv: https://arxiv.org/abs/1904.01517 · HTML: https://mlsanity.com/paper/1904.01517/

## Key facts

- Cited by 66 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 2 Apr 2019.

## Built on by (most cited first, 30 of 66)

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- [Almost sure convergence rates of stochastic gradient methods under gradient domination](https://mlsanity.com/paper/2405.13592/) (2024)
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## Abstract (arXiv)

We prove the local convergence to minima and estimates on the rate of convergence for the stochastic gradient descent method in the case of not necessarily globally convex nor contracting objective functions. In particular, the results are applicable to simple objective functions arising in machine learning.
