Demon: Improved Neural Network Training with Momentum Decay
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Abstract (arXiv)
Momentum is a widely used technique for gradient-based optimizers in deep learning. In this paper, we propose a decaying momentum (textscDemon) rule. We conduct the first large-scale empirical analysis of momentum decay methods for modern neural network optimization, in addition to the most popular learning rate decay schedules. Across 28 relevant combinations of models, epochs, datasets, and optimizers, textscDemon achieves the highest number of Top-1 and Top-3 finishes at 39% and 85% respectively, almost doubling the second-placed learning rate cosine schedule at 17% and 60%, respectively. textscDemon also outperforms other widely used schedulers including, but not limited to, the learning rate step schedule, linear schedule, OneCycle schedule, and exponential schedule. Compared with the widely used learning rate step schedule, textscDemon is observed to be less sensitive to parameter tuning, which is critical to training neural networks in practice. Results are demonstrated across a variety of settings and architectures, including image classification, generative models, and language models. textscDemon is easy to implement, requires no additional tuning, and incurs almost no extra computational overhead compared to the vanilla counterparts. Code is readily available.
Key facts. Cited by 11 papers in the map (data through 7 Oct 2026). First posted on arXiv 11 Oct 2019.
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Citing papers per year: 2022: 1; 2023: 1; 2024: 4; 2025: 2; 2026: 3.
11 papers.
- 2022FAIR-FATE: Fair Federated Learning with Momentumcited by 10
- 2024Exact Gauss-Newton Optimization for Training Deep Neural Networkscited by 10
- 2023Enhancing Deep Neural Network Training Efficiency and Performance through Linear Predictioncited by 3
- 2026MGUP: A Momentum-Gradient Alignment Update Policy for Stochastic Optimizationcited by 2
- 2024Better Schedules for Low Precision Training of Deep Neural Networkscited by 1
- 2024Incremental Gauss-Newton Descent for Machine Learningcited by 1
- 2025Accelerating SGDM via Learning Rate and Batch Size Schedules: A Lyapunov-Based Analysiscited by 1
- 2025Adaptive Memory Momentum via a Model-Based Framework for Deep Learning Optimizationcited by 1
- 2024Neural Optimizer Equation, Decay Function, and Learning Rate Schedule Joint Evolutioncited by 0
- 2026Critical Damping as a Momentum Schedule: Multi-Seed Validation, a Hybrid Recipe, and an Exhaustive Negative Result on Surgical Layer Selectioncited by 0
- 2026A Physical Response-and-Memory Model for Muon Optimizationcited by 0
- 2026A Physical Response-and-Memory Model for Muon Optimization24 Aug 2026
- 2026MGUP: A Momentum-Gradient Alignment Update Policy for Stochastic Optimization16 Jun 2026
- 2026Critical Damping as a Momentum Schedule: Multi-Seed Validation, a Hybrid Recipe, and an Exhaustive Negative Result on Surgical Layer Selection30 Mar 2026
- 2025Adaptive Memory Momentum via a Model-Based Framework for Deep Learning Optimization6 Oct 2025
- 2025Accelerating SGDM via Learning Rate and Batch Size Schedules: A Lyapunov-Based Analysis5 Aug 2025
- 2024Incremental Gauss-Newton Descent for Machine Learning10 Aug 2024
- 2024Exact Gauss-Newton Optimization for Training Deep Neural Networks23 May 2024
- 2024Neural Optimizer Equation, Decay Function, and Learning Rate Schedule Joint Evolution10 Apr 2024
- 2024Better Schedules for Low Precision Training of Deep Neural Networks4 Mar 2024
- 2023Enhancing Deep Neural Network Training Efficiency and Performance through Linear Prediction17 Oct 2023
- 2022FAIR-FATE: Fair Federated Learning with Momentum27 Sep 2022