Efficient Learning With Sine-Activated Low-rank Matrices

Fuente: arXiv
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Autores principales: Ji, Yiping, Saratchandran, Hemanth, Gordon, Cameron, Zhang, Zeyu, Lucey, Simon
Formato: Preprint
Publicado: 2024
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author Ji, Yiping
Saratchandran, Hemanth
Gordon, Cameron
Zhang, Zeyu
Lucey, Simon
author_facet Ji, Yiping
Saratchandran, Hemanth
Gordon, Cameron
Zhang, Zeyu
Lucey, Simon
contents Low-rank decomposition has emerged as a vital tool for enhancing parameter efficiency in neural network architectures, gaining traction across diverse applications in machine learning. These techniques significantly lower the number of parameters, striking a balance between compactness and performance. However, a common challenge has been the compromise between parameter efficiency and the accuracy of the model, where reduced parameters often lead to diminished accuracy compared to their full-rank counterparts. In this work, we propose a novel theoretical framework that integrates a sinusoidal function within the low-rank decomposition process. This approach not only preserves the benefits of the parameter efficiency characteristic of low-rank methods but also increases the decomposition's rank, thereby enhancing model performance. Our method proves to be a plug in enhancement for existing low-rank models, as evidenced by its successful application in Vision Transformers (ViT), Large Language Models (LLMs), Neural Radiance Fields (NeRF) and 3D shape modelling.
format Preprint
id arxiv_https___arxiv_org_abs_2403_19243
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Efficient Learning With Sine-Activated Low-rank Matrices
Ji, Yiping
Saratchandran, Hemanth
Gordon, Cameron
Zhang, Zeyu
Lucey, Simon
Machine Learning
Computer Vision and Pattern Recognition
Neural and Evolutionary Computing
Low-rank decomposition has emerged as a vital tool for enhancing parameter efficiency in neural network architectures, gaining traction across diverse applications in machine learning. These techniques significantly lower the number of parameters, striking a balance between compactness and performance. However, a common challenge has been the compromise between parameter efficiency and the accuracy of the model, where reduced parameters often lead to diminished accuracy compared to their full-rank counterparts. In this work, we propose a novel theoretical framework that integrates a sinusoidal function within the low-rank decomposition process. This approach not only preserves the benefits of the parameter efficiency characteristic of low-rank methods but also increases the decomposition's rank, thereby enhancing model performance. Our method proves to be a plug in enhancement for existing low-rank models, as evidenced by its successful application in Vision Transformers (ViT), Large Language Models (LLMs), Neural Radiance Fields (NeRF) and 3D shape modelling.
title Efficient Learning With Sine-Activated Low-rank Matrices
topic Machine Learning
Computer Vision and Pattern Recognition
Neural and Evolutionary Computing
url https://arxiv.org/abs/2403.19243