# A multilevel approach to accelerate the training of Transformers

arXiv: https://arxiv.org/abs/2504.18590 · HTML: https://mlsanity.com/paper/2504.18590/

## Key facts

- No citing papers in the map yet (data through 14 Oct 2026).
- Builds on 22 of its 29 references that are in the map.
- First posted on arXiv 24 Apr 2025.

## Builds on (most cited first, 22 of 22)

- [Attention Is All You Need](https://mlsanity.com/paper/1706.03762/) (2017)
- [Language Models are Few-Shot Learners](https://mlsanity.com/paper/2005.14165/) (2020)
- [An Image is Worth 16x16 Words: Transformers for Image Recognition at Scale](https://mlsanity.com/paper/2010.11929/) (2020)
- [LLaMA: Open and Efficient Foundation Language Models](https://mlsanity.com/paper/2302.13971/) (2023)
- [Swin Transformer: Hierarchical Vision Transformer using Shifted Windows](https://mlsanity.com/paper/2103.14030/) (2021)
- [Scaling Laws for Neural Language Models](https://mlsanity.com/paper/2001.08361/) (2020)
- [Net2Net: Accelerating Learning via Knowledge Transfer](https://mlsanity.com/paper/1511.05641/) (2015)
- [Understanding the Difficulty of Training Transformers](https://mlsanity.com/paper/2004.08249/) (2020)
- [Learning to Grow Pretrained Models for Efficient Transformer Training](https://mlsanity.com/paper/2303.00980/) (2023)
- [bert2BERT: Towards Reusable Pretrained Language Models](https://mlsanity.com/paper/2110.07143/) (2021)
- [On the Transformer Growth for Progressive BERT Training](https://mlsanity.com/paper/2010.12562/) (2020)
- [End-to-End Multi-speaker Speech Recognition with Transformer](https://mlsanity.com/paper/2002.03921/) (2020)
- [Deconstructing What Makes a Good Optimizer for Language Models](https://mlsanity.com/paper/2407.07972/) (2024)
- [ODE Transformer: An Ordinary Differential Equation-Inspired Model for Sequence Generation](https://mlsanity.com/paper/2203.09176/) (2022)
- [Exploring Transformers for Large-Scale Speech Recognition](https://mlsanity.com/paper/2005.09684/) (2020)
- [Multilevel Minimization for Deep Residual Networks](https://mlsanity.com/paper/2004.06196/) (2020)
- [Globally Convergent Multilevel Training of Deep Residual Networks](https://mlsanity.com/paper/2107.07572/) (2021)
- [Neural ODEs as the Deep Limit of ResNets with constant weights](https://mlsanity.com/paper/1906.12183/) (2019)
- [N-ODE Transformer: A Depth-Adaptive Variant of the Transformer Using Neural Ordinary Differential Equations](https://mlsanity.com/paper/2010.11358/) (2020)
- [Speeding up Deep Model Training by Sharing Weights and Then Unsharing](https://mlsanity.com/paper/2110.03848/) (2021)
- [A Block-Coordinate Approach of Multi-level Optimization with an Application to Physics-Informed Neural Networks](https://mlsanity.com/paper/2305.14477/) (2023)
- [IML FISTA: A Multilevel Framework for Inexact and Inertial Forward-Backward. Application to Image Restoration](https://mlsanity.com/paper/2304.13329/) (2023)

## Abstract (arXiv)

In this article, we investigate the potential of multilevel approaches to accelerate the training of transformer architectures. Using an ordinary differential equation (ODE) interpretation of these architectures, we propose an appropriate way of varying the discretization of these ODE Transformers in order to accelerate the training. We validate our approach experimentally by a comparison with the standard training procedure.
