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Research map / Architectures and efficiency / RNNs and normalization

The High-Dimensional Geometry of Binary Neural Networks

ICLR 2018 · Architectures and efficiency › RNNs and normalization · approach: Theory of depth and width · 14 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Binarize high-dimensional vectorsRandom vectors drawn from a standard normal distribution · Random high-dimensional vectorsangle: arccos √(2/π) ≈ 37°No clear effect
Remove weight binarization from all convolutional layers (ablation)Binary CNN · CIFAR-10classification performance: 3 percentHurt
Use continuous weights in the first convolutional layer (ablation)Binary CNN · CIFAR-10classification performance: 3 percentHelped
Use continuous weights in each later convolutional layer individually (ablation)Binary CNN · CIFAR-10classification performanceNo clear effect
Remove activation binarization (ablation)Binary CNN · CIFAR-10classification performanceHurt

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