A Bayesian Interpretation of Adaptive Low-Rank Adaptation

Fuente: arXiv
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Autori principali: Chen, Haolin, Garner, Philip N.
Natura: Preprint
Pubblicazione: 2024
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author Chen, Haolin
Garner, Philip N.
author_facet Chen, Haolin
Garner, Philip N.
contents Motivated by the sensitivity-based importance score of the adaptive low-rank adaptation (AdaLoRA), we utilize more theoretically supported metrics, including the signal-to-noise ratio (SNR), along with the Improved Variational Online Newton (IVON) optimizer, for adaptive parameter budget allocation. The resulting Bayesian counterpart not only has matched or surpassed the performance of using the sensitivity-based importance metric but is also a faster alternative to AdaLoRA with Adam. Our theoretical analysis reveals a significant connection between the two metrics, providing a Bayesian perspective on the efficacy of sensitivity as an importance score. Furthermore, our findings suggest that the magnitude, rather than the variance, is the primary indicator of the importance of parameters.
format Preprint
id arxiv_https___arxiv_org_abs_2409_10673
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle A Bayesian Interpretation of Adaptive Low-Rank Adaptation
Chen, Haolin
Garner, Philip N.
Machine Learning
Computation and Language
Motivated by the sensitivity-based importance score of the adaptive low-rank adaptation (AdaLoRA), we utilize more theoretically supported metrics, including the signal-to-noise ratio (SNR), along with the Improved Variational Online Newton (IVON) optimizer, for adaptive parameter budget allocation. The resulting Bayesian counterpart not only has matched or surpassed the performance of using the sensitivity-based importance metric but is also a faster alternative to AdaLoRA with Adam. Our theoretical analysis reveals a significant connection between the two metrics, providing a Bayesian perspective on the efficacy of sensitivity as an importance score. Furthermore, our findings suggest that the magnitude, rather than the variance, is the primary indicator of the importance of parameters.
title A Bayesian Interpretation of Adaptive Low-Rank Adaptation
topic Machine Learning
Computation and Language
url https://arxiv.org/abs/2409.10673