Element-wise Modulation of Random Matrices for Efficient Neural Layers

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1. Verfasser: Szorc, Maksymilian
Format: Preprint
Veröffentlicht: 2025
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author Szorc, Maksymilian
author_facet Szorc, Maksymilian
contents Fully connected layers are a primary source of memory and computational overhead in deep neural networks due to their dense, often redundant parameterization. While various compression techniques exist, they frequently introduce complex engineering trade-offs or degrade model performance. We propose the Parametrized Random Projection (PRP) layer, a novel approach that decouples feature mixing from adaptation by utilizing a fixed random matrix modulated by lightweight, learnable element-wise parameters. This architecture drastically reduces the trainable parameter count to a linear scale while retaining reliable accuracy across various benchmarks. The design serves as a stable, computationally efficient solution for architectural scaling and deployment in resource-limited settings.
format Preprint
id arxiv_https___arxiv_org_abs_2512_13480
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Element-wise Modulation of Random Matrices for Efficient Neural Layers
Szorc, Maksymilian
Machine Learning
Fully connected layers are a primary source of memory and computational overhead in deep neural networks due to their dense, often redundant parameterization. While various compression techniques exist, they frequently introduce complex engineering trade-offs or degrade model performance. We propose the Parametrized Random Projection (PRP) layer, a novel approach that decouples feature mixing from adaptation by utilizing a fixed random matrix modulated by lightweight, learnable element-wise parameters. This architecture drastically reduces the trainable parameter count to a linear scale while retaining reliable accuracy across various benchmarks. The design serves as a stable, computationally efficient solution for architectural scaling and deployment in resource-limited settings.
title Element-wise Modulation of Random Matrices for Efficient Neural Layers
topic Machine Learning
url https://arxiv.org/abs/2512.13480