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

1 Pith paper cite this work. Polarity classification is still indexing.

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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.

fields

cs.NE 1

years

2025 1

verdicts

CONDITIONAL 1

representative citing papers

Neuroevolution of Self-Attention Over Proto-Objects

cs.NE · 2025-04-30 · conditional · novelty 6.0

An agent that selects proto-objects (segmented color regions) instead of fixed patches matches or beats a patch-based baseline on CarRacing and Doom Take Cover while using 62% fewer parameters in its smallest configuration.

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  • Neuroevolution of Self-Attention Over Proto-Objects cs.NE · 2025-04-30 · conditional · none · ref 17 · internal anchor

    An agent that selects proto-objects (segmented color regions) instead of fixed patches matches or beats a patch-based baseline on CarRacing and Doom Take Cover while using 62% fewer parameters in its smallest configuration.