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3 months ago

On the Ideal Number of Groups for Isometric Gradient Propagation

Bum Jun Kim Hyeyeon Choi Hyeonah Jang Sang Woo Kim

On the Ideal Number of Groups for Isometric Gradient Propagation

Abstract

Recently, various normalization layers have been proposed to stabilize the training of deep neural networks. Among them, group normalization is a generalization of layer normalization and instance normalization by allowing a degree of freedom in the number of groups it uses. However, to determine the optimal number of groups, trial-and-error-based hyperparameter tuning is required, and such experiments are time-consuming. In this study, we discuss a reasonable method for setting the number of groups. First, we find that the number of groups influences the gradient behavior of the group normalization layer. Based on this observation, we derive the ideal number of groups, which calibrates the gradient scale to facilitate gradient descent optimization. Our proposed number of groups is theoretically grounded, architecture-aware, and can provide a proper value in a layer-wise manner for all layers. The proposed method exhibited improved performance over existing methods in numerous neural network architectures, tasks, and datasets.

Benchmarks

BenchmarkMethodologyMetrics
fine-grained-image-classification-on-caltechResNet-101 (ideal number of groups)
Top-1 Error Rate: 22.247%
fine-grained-image-classification-on-oxford-2ResNet-101 (ideal number of groups)
Accuracy: 77.076
image-classification-on-mnistMLP (ideal number of groups)
Percentage error: 1.67
object-detection-on-coco-2017Faster R-CNN (ideal number of groups)
AP: 40.7
AP50: 61.2
AP75: 44.6
panoptic-segmentation-on-coco-panopticPFPN (ideal number of groups)
PQ: 42.147
PQst: 30.572
PQth: 49.816

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On the Ideal Number of Groups for Isometric Gradient Propagation | Papers | HyperAI