Pruning as a Cooperative Game: Surrogate-Assisted Layer Contribution Estimation for Large Language Models
Xuan Ding, Pengyu Tong, Ranjie Duan, Yunjian Zhang, Rui Sun, Yao Zhu
Abstract
While large language models (LLMs) demonstrate impressive performance across various tasks, their deployment in real-world scenarios is still constrained by high computational demands. Layer-wise pruning, a commonly employed strategy to mitigate inference costs, can partially address this challenge. However, existing approaches generally depend on static heuristic rules and fail to account for the interdependencies among layers, thereby limiting the effectiveness of the pruning process. To this end, this paper proposes a game-theoretic framework that formulates layer pruning as a cooperative game in which each layer acts as a player and model performance serves as the utility. As computing exact Shapley values is computationally infeasible for large language models (LLMs), we propose using a lightweight surrogate network to estimate layer-wise marginal contributions. This network can predict LLM performance for arbitrary layer combinations at a low computational cost. Additionally, we employ stratified Monte Carlo mask sampling to further reduce the cost of Sharpley value estimation. This approach captures inter-layer dependencies and dynamically identifies critical layers for pruning. Extensive experiments demonstrate the consistent superiority of our method in terms of perplexity and zero-shot accuracy, achieving more efficient and effective layer-wise pruning for large language models.
Ask about this paper
Your agent reads all of it.
Lune indexed this paper to the last equation, along with the top-tier papers that cite it. Ask a question and the answer quotes them.
Builds on12
- Measuring Massive Multitask Language UnderstandingDan Hendrycks, Collin Burns, Steven Basart, Andy Zou et al.ICLR 2021 · 7,905 citations
- PIQA: Reasoning about Physical Commonsense in Natural LanguageYonatan Bisk, Rowan Zellers, Ronan Le Bras, Jianfeng Gao et al.AAAI 2020 · 2,916 citations
- SparseGPT: Massive Language Models Can be Accurately Pruned in One-ShotElias Frantar, Dan AlistarhICML 2023 · 1,240 citations
- LLM-Pruner: On the Structural Pruning of Large Language ModelsXinyin Ma, Gongfan Fang, Xinchao WangNeurIPS 2023 · 994 citations
- A Simple and Effective Pruning Approach for Large Language ModelsMingjie Sun, Zhuang Liu, Anna Bair, J. Zico KolterICLR 2024 · 794 citations
Related papers
- Discovering Important Experts for Mixture-of-Experts Models Pruning Through a Theoretical PerspectiveWeizhong Huang, Yuxin Zhang, Xiawu Zheng, Fei Chao et al.NeurIPS 2025 · 12 citations
- LSA: Layer-wise Sparsity Allocation for Large Language Model Pruning Based on Minimal Linear Reconstruction ErrorZhiguo Yang, Changjian Deng, Qinke Chen, Zijing Zhou et al.ICLR 2026
- MODEL SHAPLEY: Find Your Ideal Parameter Player via One Gradient BackpropagationChu Xu, Xinke Jiang, Rihong Qiu, Jiaran Gao et al.NeurIPS 2025 · 7 citations
- Dual-Assessment Driven Pruning: Iterative Optimizing Layer-wise Sparsity for Large Language ModelQinghui Sun, Weilun Wang, Yanni Zhu, Shenghuan He et al.KDD 2024 · 3 citations
- Let LLM Tell What to Prune and How Much to PruneMingzhe Yang, Sihao Lin, Changlin Li, Xiaojun ChangICML 2025
