SAFE: Finding Sparse and Flat Minima to Improve Pruning
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Abstract (arXiv)
Sparsifying neural networks often suffers from seemingly inevitable performance degradation, and it remains challenging to restore the original performance despite much recent progress. Motivated by recent studies in robust optimization, we aim to tackle this problem by finding subnetworks that are both sparse and flat at the same time. Specifically, we formulate pruning as a sparsity-constrained optimization problem where flatness is encouraged as an objective. We solve it explicitly via an augmented Lagrange dual approach and extend it further by proposing a generalized projection operation, resulting in novel pruning methods called SAFE and its extension, SAFE^+. Extensive evaluations on standard image classification and language modeling tasks reveal that SAFE consistently yields sparse networks with improved generalization performance, which compares competitively to well-established baselines. In addition, SAFE demonstrates resilience to noisy data, making it well-suited for real-world conditions.
Key facts. Cited by 5 papers in the map (data through 14 Oct 2026). Builds on 60 of its 74 references that are in the map. First posted on arXiv 7 Jun 2025.
Builds on
60 of 74 references.
References · 60
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38 more
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50 most cited of 60 All 60 (JSON)
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Citing papers per year: 2025: 4; 2026: 1.
5 papers.
- 2025AnyBCQ: Hardware Efficient Flexible Binary-Coded Quantization for Multi-Precision LLMscited by 9
- 2025The Unseen Frontier: Pushing the Limits of LLM Sparsity with Surrogate-Free ADMMcited by 5
- 2025AL-CoLe: Augmented Lagrangian for Constrained Learningcited by 2
- 2025S2AP: Score-space Sharpness Minimization for Adversarial Pruningcited by 0
- 2026HORST: Composing Optimizer Geometries for Sparse Transformer Trainingcited by 0
- 2026HORST: Composing Optimizer Geometries for Sparse Transformer Training20 May 2026
- 2025AL-CoLe: Augmented Lagrangian for Constrained Learning23 Oct 2025
- 2025S2AP: Score-space Sharpness Minimization for Adversarial Pruning21 Oct 2025
- 2025AnyBCQ: Hardware Efficient Flexible Binary-Coded Quantization for Multi-Precision LLMs12 Oct 2025
- 2025The Unseen Frontier: Pushing the Limits of LLM Sparsity with Surrogate-Free ADMM2 Oct 2025