PRISM: Post-Training LLM Pruning via Residual Importance Signal Merging and Intra-Block Sparsity Allocation

Keyu Wen, Jianing Zhu, Kaiyang HU, Lijun Yang, Rui Lin


Abstract
Post-training pruning compresses Large Language Models (LLMs) without full-model retraining, but performance degrades sharply at high sparsity. We identify two limitations in existing methods: local importance estimates miss global spectral structure, and uniform within-block sparsity ignores heterogeneous sensitivity across transformer projections. We propose PRISM, a post-training pruning framework with training-free mask construction and optional fixed-mask reconstruction optimization. PRISM augments activation-based scoring with two adaptive-rank SVD-derived signals for principal-subspace and residual-aware importance, combines the factors through parameter-free CV-based fusion, and allocates sparsity non-uniformly across attention and MLP projections using a gradient-weighted matrix-level sensitivity proxy. Across six Qwen3 and LLaMA models, PRISM consistently outperforms existing pruning baselines, yielding up to 16.8% relative improvement in WikiText-2 perplexity under the evaluated sparsity settings.
Anthology ID:
2026.findings-emnlp.606
Volume:
Findings of the Association for Computational Linguistics: EMNLP 2026
Month:
October
Year:
2026
Address:
Budapest, Hungary
Editors:
Hung-Yi Lee, Sunipa Dev, Jessy Li, Desmond Elliott
Venue:
Findings
SIG:
SIGDAT
Publisher:
Association for Computational Linguistics
Note:
Pages:
12779–12795
Language:
URL:
https://aclanthology.org/2026.findings-emnlp.606/
DOI:
Bibkey:
Cite (ACL):
Keyu Wen, Jianing Zhu, Kaiyang HU, Lijun Yang, and Rui Lin. 2026. PRISM: Post-Training LLM Pruning via Residual Importance Signal Merging and Intra-Block Sparsity Allocation. In Findings of the Association for Computational Linguistics: EMNLP 2026, pages 12779–12795, Budapest, Hungary. Association for Computational Linguistics.
Cite (Informal):
PRISM: Post-Training LLM Pruning via Residual Importance Signal Merging and Intra-Block Sparsity Allocation (Wen et al., Findings 2026)
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PDF:
https://aclanthology.org/2026.findings-emnlp.606.pdf