# A Stochastic Gradient Descent Theorem and the Back-Propagation Algorithm

arXiv: https://arxiv.org/abs/2104.00539 · HTML: https://mlsanity.com/paper/2104.00539/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 1 Apr 2021.

## Built on by (most cited first, 1 of 1)

- [Weighted Low-rank Approximation via Stochastic Gradient Descent on Manifolds](https://mlsanity.com/paper/2502.14174/) (2025)

## Abstract (arXiv)

We establish a convergence theorem for a certain type of stochastic gradient descent, which leads to a convergent variant of the back-propagation algorithm