Weight Concentration Regularization for Improving Pruning Robustness Under High Sparsity

Fuente: arXiv
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Main Authors: Yun, Vincent-Daniel, Jo, Junhyuk, Lee, Sunwoo
Format: Preprint
Published: 2025
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author Yun, Vincent-Daniel
Jo, Junhyuk
Lee, Sunwoo
author_facet Yun, Vincent-Daniel
Jo, Junhyuk
Lee, Sunwoo
contents Deep neural networks achieve outstanding performance across vision and language tasks, yet their large parameter counts limit deployment in resource-constrained settings. One-shot pruning reduces model size without retraining, but models trained with standard objectives often suffer substantial accuracy drops under aggressive sparsity. Prior work mitigates this drop along two directions: regularizers such as $\ell_1$ and DeepHoyer that shape the weight distribution during training, and pruning-robust optimizers such as SAM, CrAM, and S$^2$SAM that flatten the loss landscape. However, existing regularizers either shrink all weights uniformly ($\ell_1$) or induce scale-invariant sparsity (DeepHoyer), without concentrating weight energy onto a small set of informative parameters. We propose a Weight Concentration Regularizer (WCR), a training-time regularizer that amplifies the magnitude of a small subset of parameters while driving the remainder toward zero, so that magnitude pruning predominantly removes parameters with negligible functional contribution. We provide a convergence analysis and evaluate WCR on LLM fine-tuning, image classification, and medical segmentation, demonstrating consistent improvements in pruning robustness across architectures and compatibility with existing pruning-robust optimizers.
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id arxiv_https___arxiv_org_abs_2511_14282
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publishDate 2025
record_format arxiv
spellingShingle Weight Concentration Regularization for Improving Pruning Robustness Under High Sparsity
Yun, Vincent-Daniel
Jo, Junhyuk
Lee, Sunwoo
Machine Learning
Artificial Intelligence
Deep neural networks achieve outstanding performance across vision and language tasks, yet their large parameter counts limit deployment in resource-constrained settings. One-shot pruning reduces model size without retraining, but models trained with standard objectives often suffer substantial accuracy drops under aggressive sparsity. Prior work mitigates this drop along two directions: regularizers such as $\ell_1$ and DeepHoyer that shape the weight distribution during training, and pruning-robust optimizers such as SAM, CrAM, and S$^2$SAM that flatten the loss landscape. However, existing regularizers either shrink all weights uniformly ($\ell_1$) or induce scale-invariant sparsity (DeepHoyer), without concentrating weight energy onto a small set of informative parameters. We propose a Weight Concentration Regularizer (WCR), a training-time regularizer that amplifies the magnitude of a small subset of parameters while driving the remainder toward zero, so that magnitude pruning predominantly removes parameters with negligible functional contribution. We provide a convergence analysis and evaluate WCR on LLM fine-tuning, image classification, and medical segmentation, demonstrating consistent improvements in pruning robustness across architectures and compatibility with existing pruning-robust optimizers.
title Weight Concentration Regularization for Improving Pruning Robustness Under High Sparsity
topic Machine Learning
Artificial Intelligence
url https://arxiv.org/abs/2511.14282