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arXiv · 2409.10821

PReLU: Yet Another Single-Layer Solution to the XOR Problem

Rafael C. Pinto·Anderson R. Tavares
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Abstract

This paper demonstrates that a single-layer neural network using Parametric Rectified Linear Unit (PReLU) activation can solve the XOR problem, a simple fact that has been overlooked so far. We compare this solution to the multi-layer perceptron (MLP) and the Growing Cosine Unit (GCU) activation function and explain why PReLU enables this capability. Our results show that the single-layer PReLU network can achieve 100\% success rate in a wider range of learning rates while using only three learnable parameters.

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Rafael C. Pinto, Anderson R. Tavares. 2024-09-17. PReLU: Yet Another Single-Layer Solution to the XOR Problem. https://arxiv.org/abs/2409.10821

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