# Stochastic gradient descent with discontinuity across a manifold

arXiv: https://arxiv.org/abs/2608.07618 · HTML: https://mlsanity.com/paper/2608.07618/

## Key facts

- No citing papers in the map yet (data through 14 Oct 2026).
- Builds on 3 of its 26 references that are in the map.
- First posted on arXiv 7 Aug 2026.

## Builds on (most cited first, 3 of 3)

- [On Riemannian Stochastic Approximation Schemes with Fixed Step-Size](https://mlsanity.com/paper/2102.07586/) (2021)
- [The global convergence time of stochastic gradient descent in non-convex landscapes: Sharp estimates via large deviations](https://mlsanity.com/paper/2503.16398/) (2025)
- [Stochastic Approximation on Riemannian manifolds](https://mlsanity.com/paper/1711.10754/) (2017)

## Abstract (arXiv)

Stochastic gradient descent for a loss function discontinuous across lower dimensional manifolds is analyzed by studying its differential equation limit.