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Z-Plane Neural Networks Replace ReLU and LayerNorm for Stable Deep Learning

Researchers have introduced a novel neural network architecture called the Z-Plane Neural Network, which replaces traditional activation functions like ReLU and normalization techniques like LayerNorm. This new approach maps hidden states into 2D phasor bundles on a hypersphere, utilizing a geometric activation function called Radial Bounding. This method aims to prevent gradient instability, avoid dead neurons, and preserve directional information. A 100-layer Z-Plane Multi-Layer Perceptron demonstrated successful convergence and numerical stability on the MNIST dataset, achieving 98.34% accuracy without ReLU or LayerNorm, suggesting that bounded geometric activation alone is sufficient for deep learning. AI

IMPACT Introduces a novel activation and normalization method that could improve stability and information preservation in deep learning models.

RANK_REASON The cluster contains an academic paper detailing a new neural network architecture and its performance on a benchmark dataset. [lever_c_demoted from research: ic=1 ai=1.0]

Read on arXiv cs.AI →

AI-generated summary · Google Gemini · from 1 sources. How we write summaries →

Z-Plane Neural Networks Replace ReLU and LayerNorm for Stable Deep Learning

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The cluster contains an academic paper detailing a new neural network architecture and its performance on a benchmark dataset. [lever_c_demoted from research: ic=1 ai=1.0]
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COVERAGE [1]

  1. arXiv cs.AI TIER_1 English(EN) · Sungwoo Goo, Hwi-yeol Yun, Sangkeun Jung ·

    Z-Plane Neural Networks: Bounded Geometric Activation Replaces ReLU and LayerNorm

    arXiv:2606.15669v1 Announce Type: cross Abstract: Modern deep neural networks rely on Euclidean scalar activations (e.g., ReLU) and global normalization techniques (e.g., LayerNorm) to prevent gradient instability in deep architectures. However, these mechanisms inherently cause …