# Which Geometry on Which Layer? A Principled Criterion for Mixed-Optimizer Training

Canonical HTML: https://hiroki11x.github.io/publications/which-geometry-on-which-layer/

- Authors: Hiroki Naganuma, Laura Gomezjurado Gonzalez, Mahdi Ghaznavi, Atsushi Nitanda, Ioannis Mitliagkas, Seng Pei Liew, Ryuichiro Hataya
- Venue: Under Review
- Date: 2026-05
- Research areas: [Scalable Pretraining and Distributed Learning](https://hiroki11x.github.io/research/#scalable-pretraining) · [Optimization for Machine Learning](https://hiroki11x.github.io/research/#optimization)

## Abstract

See the original research record for the abstract.

## Primary research links