LionVote: Per-Layer Learning Rate Adaptation for Lion
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Abstract (arXiv)
Per-layer diagnostics reveal that, at the prescribed learning rate, Lion's effective scale is 2.6-2.8x too high for attention and MLP parameters and ~2x too high for normalization layers on ViT-Tiny/CIFAR-100; this 32% cross-layer-type disparity cannot be reproduced by a single global rate. The measurement comes from LionVote, a per-layer learning rate mechanism in which each parameter tensor maintains a compound level, a persistent integer updated every c epochs by two diagnostics (gradient direction stability and momentum health) resolved by a validation loss tiebreaker. Voting thresholds derive from geometric identities, the EMA time constant, and a noise-floor estimate; cadence is bounded structurally and selected by ablation. On ViT-Tiny/CIFAR-100, LionVote achieves 69.7% top-1 accuracy vs. Lion's 69.0% (p < 0.02, Welch's t-test) and AdamW's 68.8%. Per-layer adaptation value depends on both architectural heterogeneity and task; on uniform CNN architectures tuned SGD with cosine annealing remains dominant, and on ViT architectures gains are task-dependent.
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References · 19
- 2017Attention Is All You Needcited by 59,932
- 2015Deep Residual Learning for Image Recognitioncited by 51,809
- 2020An Image is Worth 16x16 Words: Transformers for Image Recognition at Scalecited by 29,915
- 2019PyTorch: An Imperative Style, High-Performance Deep Learning Librarycited by 20,160
- 2016SGDR: Stochastic Gradient Descent with Warm Restartscited by 4,993
- 2016Wide Residual Networkscited by 3,057
- 2019Large Batch Optimization for Deep Learning: Training BERT in 76 minutescited by 671
- 2016Learning to learn by gradient descent by gradient descentcited by 616
- 2018signSGD: Compressed Optimisation for Non-Convex Problemscited by 561
- 2017Large Batch Training of Convolutional Networkscited by 529
- 2023Symbolic Discovery of Optimization Algorithmscited by 423
- 2021Gradient Descent on Neural Networks Typically Occurs at the Edge of Stabilitycited by 413
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- 2023Learning-Rate-Free Learning by D-Adaptationcited by 113
- 2024Cautious Optimizers: Improving Training with One Line of Codecited by 42
- 2024An Adaptive Stochastic Gradient Method with Non-negative Gauss-Newton Stepsizescited by 10
- 2025Noise-Adaptive Layerwise Learning Rates: Accelerating Geometry-Aware Optimization for Deep Neural Network Trainingcited by 3
- 2021AutoDrop: Training Deep Learning Models with Automatic Learning Rate Dropcited by 2
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