Optimal Brain Connection: Towards Efficient Structural Pruning

Fuente: arXiv
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Main Authors: Chen, Shaowu, Ma, Wei, Huang, Binhua, Wang, Qingyuan, Wang, Guoxin, Sun, Weize, Huang, Lei, John, Deepu
Format: Preprint
Published: 2025
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author Chen, Shaowu
Ma, Wei
Huang, Binhua
Wang, Qingyuan
Wang, Guoxin
Sun, Weize
Huang, Lei
John, Deepu
author_facet Chen, Shaowu
Ma, Wei
Huang, Binhua
Wang, Qingyuan
Wang, Guoxin
Sun, Weize
Huang, Lei
John, Deepu
contents Structural pruning has been widely studied for its effectiveness in compressing neural networks. However, existing methods often neglect the interconnections among parameters. To address this limitation, this paper proposes a structural pruning framework termed Optimal Brain Connection. First, we introduce the Jacobian Criterion, a first-order metric for evaluating the saliency of structural parameters. Unlike existing first-order methods that assess parameters in isolation, our criterion explicitly captures both intra-component interactions and inter-layer dependencies. Second, we propose the Equivalent Pruning mechanism, which utilizes autoencoders to retain the contributions of all original connection--including pruned ones--during fine-tuning. Experimental results demonstrate that the Jacobian Criterion outperforms several popular metrics in preserving model performance, while the Equivalent Pruning mechanism effectively mitigates performance degradation after fine-tuning. Code: https://github.com/ShaowuChen/Optimal_Brain_Connection
format Preprint
id arxiv_https___arxiv_org_abs_2508_05521
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Optimal Brain Connection: Towards Efficient Structural Pruning
Chen, Shaowu
Ma, Wei
Huang, Binhua
Wang, Qingyuan
Wang, Guoxin
Sun, Weize
Huang, Lei
John, Deepu
Computer Vision and Pattern Recognition
Structural pruning has been widely studied for its effectiveness in compressing neural networks. However, existing methods often neglect the interconnections among parameters. To address this limitation, this paper proposes a structural pruning framework termed Optimal Brain Connection. First, we introduce the Jacobian Criterion, a first-order metric for evaluating the saliency of structural parameters. Unlike existing first-order methods that assess parameters in isolation, our criterion explicitly captures both intra-component interactions and inter-layer dependencies. Second, we propose the Equivalent Pruning mechanism, which utilizes autoencoders to retain the contributions of all original connection--including pruned ones--during fine-tuning. Experimental results demonstrate that the Jacobian Criterion outperforms several popular metrics in preserving model performance, while the Equivalent Pruning mechanism effectively mitigates performance degradation after fine-tuning. Code: https://github.com/ShaowuChen/Optimal_Brain_Connection
title Optimal Brain Connection: Towards Efficient Structural Pruning
topic Computer Vision and Pattern Recognition
url https://arxiv.org/abs/2508.05521