ALPS: Improved Optimization for Highly Sparse One-Shot Pruning for Large Language Models
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Abstract (arXiv)
The impressive performance of Large Language Models (LLMs) across various natural language processing tasks comes at the cost of vast computational resources and storage requirements. One-shot pruning techniques offer a way to alleviate these burdens by removing redundant weights without the need for retraining. Yet, the massive scale of LLMs often forces current pruning approaches to rely on heuristics instead of optimization-based techniques, potentially resulting in suboptimal compression. In this paper, we introduce ALPS, an optimization-based framework that tackles the pruning problem using the operator splitting technique and a preconditioned conjugate gradient-based post-processing step. Our approach incorporates novel techniques to accelerate and theoretically guarantee convergence while leveraging vectorization and GPU parallelism for efficiency. ALPS substantially outperforms state-of-the-art methods in terms of the pruning objective and perplexity reduction, particularly for highly sparse models. On the OPT-30B model with 70% sparsity, ALPS achieves a 13% reduction in test perplexity on the WikiText dataset and a 19% improvement in zero-shot benchmark performance compared to existing methods.
Key facts. Cited by 19 papers in the map (data through 14 Oct 2026). Builds on 58 of its 72 references that are in the map. First posted on arXiv 12 Jun 2024.
Builds on
58 of 72 references.
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50 most cited of 58 All 58 (JSON)
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Citing papers per year: 2024: 1; 2025: 12; 2026: 6.
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- 2024Preserving Deep Representations In One-Shot Pruning: A Hessian-Free Second-Order Optimization Frameworkcited by 11
- 2025Dynamic Low-Rank Sparse Adaptation for Large Language Modelscited by 10
- 2025SAFE: Finding Sparse and Flat Minima to Improve Pruningcited by 5
- 2025SparseSSM: Efficient Selective Structured State Space Models Can Be Pruned in One-Shotcited by 5
- 2025The Unseen Frontier: Pushing the Limits of LLM Sparsity with Surrogate-Free ADMMcited by 5
- 2025A Proximal Operator for Inducing 2:4-Sparsitycited by 4
- 2025T'yr-the-Pruner: Structural Pruning LLMs via Global Sparsity Distribution Optimizationcited by 4
- 2025Reasoning Models Can be Accurately Pruned Via Chain-of-Thought Reconstructioncited by 4
- 2025HASSLE-free: A unified Framework for Sparse plus Low-Rank Matrix Decomposition for LLMscited by 3
- 2025Restoring Pruned Large Language Models via Lost Component Compensationcited by 3
- 2025Scaling Up Efficient Small Language Models Serving and Deployment for Semantic Job Searchcited by 3
- 20263BASiL: An Algorithmic Framework for Sparse plus Low-Rank Compression of LLMscited by 3
7 more
- 2026ADMM-Q: An Improved Hessian-based Weight Quantizer for Post-Training Quantization of Large Language Modelscited by 3
- 2025SPAP: Structured Pruning via Alternating Optimization and Penalty Methodscited by 1
- 2026NanoQuant: Efficient Sub-1-Bit Quantization of Large Language Modelscited by 1
- 2026OBC-Prune: Outcome-Based Calibration for Large Reasoning Model Pruningcited by 1
- 2025TSENOR: Highly-Efficient Algorithm for Finding Transposable N:M Sparse Maskscited by 0
- 2026The Sparsity Whisperercited by 0
- 2026Two For The Price Of One: Curvature-Aware Pruning Preserves Influence Functions Toocited by 0
- 2026Two For The Price Of One: Curvature-Aware Pruning Preserves Influence Functions Too13 Oct 2026
- 2026OBC-Prune: Outcome-Based Calibration for Large Reasoning Model Pruning15 Sep 2026
- 2026The Sparsity Whisperer6 Aug 2026
- 2026ADMM-Q: An Improved Hessian-based Weight Quantizer for Post-Training Quantization of Large Language Models11 May 2026
- 20263BASiL: An Algorithmic Framework for Sparse plus Low-Rank Compression of LLMs2 Mar 2026
- 2026NanoQuant: Efficient Sub-1-Bit Quantization of Large Language Models6 Feb 2026
- 2025Scaling Up Efficient Small Language Models Serving and Deployment for Semantic Job Search25 Oct 2025
- 2025Restoring Pruned Large Language Models via Lost Component Compensation22 Oct 2025
- 2025The Unseen Frontier: Pushing the Limits of LLM Sparsity with Surrogate-Free ADMM2 Oct 2025
- 2025Reasoning Models Can be Accurately Pruned Via Chain-of-Thought Reconstruction15 Sep 2025
- 2025SparseSSM: Efficient Selective Structured State Space Models Can Be Pruned in One-Shot11 Jun 2025
- 2025SAFE: Finding Sparse and Flat Minima to Improve Pruning7 Jun 2025
7 more
- 2025TSENOR: Highly-Efficient Algorithm for Finding Transposable N:M Sparse Masks29 May 2025
- 2025SPAP: Structured Pruning via Alternating Optimization and Penalty Methods6 May 2025
- 2025T'yr-the-Pruner: Structural Pruning LLMs via Global Sparsity Distribution Optimization12 Mar 2025
- 2025Dynamic Low-Rank Sparse Adaptation for Large Language Models20 Feb 2025
- 2025HASSLE-free: A unified Framework for Sparse plus Low-Rank Matrix Decomposition for LLMs2 Feb 2025
- 2025A Proximal Operator for Inducing 2:4-Sparsity29 Jan 2025
- 2024Preserving Deep Representations In One-Shot Pruning: A Hessian-Free Second-Order Optimization Framework27 Nov 2024
- 2024Preserving Deep Representations In One-Shot Pruning: A Hessian-Free Second-Order Optimization Frameworkcited by 11
- 2025Dynamic Low-Rank Sparse Adaptation for Large Language Modelscited by 10
- 2025SAFE: Finding Sparse and Flat Minima to Improve Pruningcited by 5
- 2025The Unseen Frontier: Pushing the Limits of LLM Sparsity with Surrogate-Free ADMMcited by 5
- 2025A Proximal Operator for Inducing 2:4-Sparsitycited by 4
- 2025T'yr-the-Pruner: Structural Pruning LLMs via Global Sparsity Distribution Optimizationcited by 4
- 2025HASSLE-free: A unified Framework for Sparse plus Low-Rank Matrix Decomposition for LLMscited by 3
- 2025Restoring Pruned Large Language Models via Lost Component Compensationcited by 3
- 2025Scaling Up Efficient Small Language Models Serving and Deployment for Semantic Job Searchcited by 3
- 20263BASiL: An Algorithmic Framework for Sparse plus Low-Rank Compression of LLMscited by 3
- 2026ADMM-Q: An Improved Hessian-based Weight Quantizer for Post-Training Quantization of Large Language Modelscited by 3
- 2025SPAP: Structured Pruning via Alternating Optimization and Penalty Methodscited by 1
12 most cited of 16 All 16 (JSON)
- 2026Two For The Price Of One: Curvature-Aware Pruning Preserves Influence Functions Too13 Oct 2026
- 2026The Sparsity Whisperer6 Aug 2026
- 2026ADMM-Q: An Improved Hessian-based Weight Quantizer for Post-Training Quantization of Large Language Models11 May 2026
- 20263BASiL: An Algorithmic Framework for Sparse plus Low-Rank Compression of LLMs2 Mar 2026
- 2026NanoQuant: Efficient Sub-1-Bit Quantization of Large Language Models6 Feb 2026
- 2025Scaling Up Efficient Small Language Models Serving and Deployment for Semantic Job Search25 Oct 2025
- 2025Restoring Pruned Large Language Models via Lost Component Compensation22 Oct 2025
- 2025The Unseen Frontier: Pushing the Limits of LLM Sparsity with Surrogate-Free ADMM2 Oct 2025
- 2025SAFE: Finding Sparse and Flat Minima to Improve Pruning7 Jun 2025
- 2025TSENOR: Highly-Efficient Algorithm for Finding Transposable N:M Sparse Masks29 May 2025
- 2025SPAP: Structured Pruning via Alternating Optimization and Penalty Methods6 May 2025
- 2025T'yr-the-Pruner: Structural Pruning LLMs via Global Sparsity Distribution Optimization12 Mar 2025
12 newest of 16 All 16 (JSON)