Algebraic Representations for Faster Predictions in Convolutional Neural Networks

Fuente: arXiv
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Hauptverfasser: Joyce, Johnny, Verschelde, Jan
Format: Preprint
Veröffentlicht: 2024
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author Joyce, Johnny
Verschelde, Jan
author_facet Joyce, Johnny
Verschelde, Jan
contents Convolutional neural networks (CNNs) are a popular choice of model for tasks in computer vision. When CNNs are made with many layers, resulting in a deep neural network, skip connections may be added to create an easier gradient optimization problem while retaining model expressiveness. In this paper, we show that arbitrarily complex, trained, linear CNNs with skip connections can be simplified into a single-layer model, resulting in greatly reduced computational requirements during prediction time. We also present a method for training nonlinear models with skip connections that are gradually removed throughout training, giving the benefits of skip connections without requiring computational overhead during during prediction time. These results are demonstrated with practical examples on Residual Networks (ResNet) architecture.
format Preprint
id arxiv_https___arxiv_org_abs_2408_07815
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Algebraic Representations for Faster Predictions in Convolutional Neural Networks
Joyce, Johnny
Verschelde, Jan
Computer Vision and Pattern Recognition
Symbolic Computation
Convolutional neural networks (CNNs) are a popular choice of model for tasks in computer vision. When CNNs are made with many layers, resulting in a deep neural network, skip connections may be added to create an easier gradient optimization problem while retaining model expressiveness. In this paper, we show that arbitrarily complex, trained, linear CNNs with skip connections can be simplified into a single-layer model, resulting in greatly reduced computational requirements during prediction time. We also present a method for training nonlinear models with skip connections that are gradually removed throughout training, giving the benefits of skip connections without requiring computational overhead during during prediction time. These results are demonstrated with practical examples on Residual Networks (ResNet) architecture.
title Algebraic Representations for Faster Predictions in Convolutional Neural Networks
topic Computer Vision and Pattern Recognition
Symbolic Computation
url https://arxiv.org/abs/2408.07815