# AdaPlus: Integrating Nesterov Momentum and Precise Stepsize Adjustment on AdamW Basis

arXiv: https://arxiv.org/abs/2309.01966 · HTML: https://mlsanity.com/paper/2309.01966/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- Builds on 15 of its 29 references that are in the map.
- First posted on arXiv 5 Sep 2023.

## Builds on (most cited first, 15 of 15)

- [Deep Residual Learning for Image Recognition](https://mlsanity.com/paper/1512.03385/) (2015)
- [Adam: A Method for Stochastic Optimization](https://mlsanity.com/paper/1412.6980/) (2014)
- [Very Deep Convolutional Networks for Large-Scale Image Recognition](https://mlsanity.com/paper/1409.1556/) (2014)
- [Densely Connected Convolutional Networks](https://mlsanity.com/paper/1608.06993/) (2016)
- [Improved Techniques for Training GANs](https://mlsanity.com/paper/1606.03498/) (2016)
- [On the Convergence of Adam and Beyond](https://mlsanity.com/paper/1904.09237/) (2019)
- [On the Variance of the Adaptive Learning Rate and Beyond](https://mlsanity.com/paper/1908.03265/) (2019)
- [Symbolic Discovery of Optimization Algorithms](https://mlsanity.com/paper/2302.06675/) (2023)
- [AdaBelief Optimizer: Adapting Stepsizes by the Belief in Observed Gradients](https://mlsanity.com/paper/2010.07468/) (2020)
- [Adaptive Gradient Methods with Dynamic Bound of Learning Rate](https://mlsanity.com/paper/1902.09843/) (2019)
- [Adan: Adaptive Nesterov Momentum Algorithm for Faster Optimizing Deep Models](https://mlsanity.com/paper/2208.06677/) (2022)
- [XPipe: Efficient Pipeline Model Parallelism for Multi-GPU DNN Training](https://mlsanity.com/paper/1911.04610/) (2019)
- [Weight Prediction Boosts the Convergence of AdamW](https://mlsanity.com/paper/2302.00195/) (2023)
- [Rethinking Adam: A Twofold Exponential Moving Average Approach](https://mlsanity.com/paper/2106.11514/) (2021)
- [XGrad: Boosting Gradient-Based Optimizers With Weight Prediction](https://mlsanity.com/paper/2305.18240/) (2023)

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

- [PipeOptim: Ensuring Effective 1F1B Schedule with Optimizer-Dependent Weight Prediction](https://mlsanity.com/paper/2312.00839/) (2023)

## Abstract (arXiv)

This paper proposes an efficient optimizer called AdaPlus which integrates Nesterov momentum and precise stepsize adjustment on AdamW basis. AdaPlus combines the advantages of AdamW, Nadam, and AdaBelief and, in particular, does not introduce any extra hyper-parameters. We perform extensive experimental evaluations on three machine learning tasks to validate the effectiveness of AdaPlus. The experiment results validate that AdaPlus (i) among all the evaluated adaptive methods, performs most comparable with (even slightly better than) SGD with momentum on image classification tasks and (ii) outperforms other state-of-the-art optimizers on language modeling tasks and illustrates pretty high stability when training GANs. The experiment code of AdaPlus will be accessible at: https://github.com/guanleics/AdaPlus.
