Applications of Linear Algebra in Artificial Neural Networks

This paper mainly introduces an application of linear algebra in artificial neural networks to simplify complex operations. All the parameters in a neural network can be stored in matrices, and this method uses matrix multiplication to complete data processing succinctly and efficiently. For example, a higher-level application of artificial neural networks is deep learning, which realizes the deep algorithm of filtering data by multiplying matrices and eigenvectors. Through linear transformation, many complicated problems in neural networks and their applications will be greatly simplified.

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Published
2024-12-06
DOI
https://doi.org/10.1145/3727993.3728025
Primary Topic
Neural Networks and Applications
Type
article
Field-Weighted Citation Impact
0.00
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article

Applications of Linear Algebra in Artificial Neural Networks

Q. M. Ma, Haifeng Jia, Kaiyu Jin
Neural Networks and Applications
article

Applications of Linear Algebra in Artificial Neural Networks

Q. M. Ma, Haifeng Jia, Kaiyu Jin
article en

Abstract

This paper mainly introduces an application of linear algebra in artificial neural networks to simplify complex operations. All the parameters in a neural network can be stored in matrices, and this method uses matrix multiplication to complete data processing succinctly and efficiently. For example, a higher-level application of artificial neural networks is deep learning, which realizes the deep algorithm of filtering data by multiplying matrices and eigenvectors. Through linear transformation, many complicated problems in neural networks and their applications will be greatly simplified.

Beijing University of Technology (CN)
Openalex Percentile: Top 72%
Neural Networks and Applications
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Applications of Linear Algebra in Artificial Neural Networks — Q. M. Ma, Haifeng Jia, et al. · (2024) | TGRS Research Map | TGRS