Rethinking Weight Decay for Robust Fine-Tuning of Foundation Models
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Abstract (arXiv)
Modern optimizers such as AdamW, equipped with momentum and adaptive learning rate, are designed to escape local minima and explore the vast parameter space. This exploration is beneficial for finding good loss basins when training from scratch. It is not necessarily ideal when resuming from a powerful foundation model because it can lead to large deviations from the pre-trained initialization and, consequently, worse robustness and generalization. At the same time, strong regularization on all parameters can lead to under-fitting. We hypothesize that selectively regularizing the parameter space is the key to fitting and retraining the pre-trained knowledge. This paper proposes a new weight decay technique, Selective Projection Decay (SPD), that selectively imposes a strong penalty on certain layers while allowing others to change freely. Intuitively, SPD expands and contracts the parameter search space for layers with consistent and inconsistent loss reduction, respectively. Experimentally, when equipped with SPD, Adam consistently provides better in-distribution generalization and out-of-distribution robustness performance on multiple popular vision and language benchmarks. Code available at~urlhttps://github.com/GT-RIPL/Selective-Projection-Decay.git
Key facts. Cited by 9 papers in the map (data through 14 Oct 2026). Builds on 45 of its 55 references that are in the map. First posted on arXiv 3 Nov 2024.
Builds on
45 of 55 references.
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Built on by
Citing papers per year: 2025: 4; 2026: 5.
9 papers.
- 2025Cautious Weight Decaycited by 13
- 2025Directional Gradient Projection for Robust Fine-Tuning of Foundation Modelscited by 11
- 2025MAPS: Preserving Vision-Language Representations via Module-Wise Proximity Scheduling for Better Vision-Language-Action Generalizationcited by 7
- 2025FRAMES-VQA: Benchmarking Fine-Tuning Robustness across Multi-Modal Shifts in Visual Question Answeringcited by 5
- 2026Linearization Explains Fine-Tuning in Large Language Modelscited by 2
- 2026Restoring Neural Network Plasticity for Faster Transfer Learningcited by 0
- 2026The Geometry of Robustness: Optimizing Loss Landscape Curvature and Feature Manifold Alignment for Robust Finetuning of Vision-Language Modelscited by 0
- 2026Neural Network Optimization Reimagined: Decoupled Techniques for Scratch and Fine-Tuningcited by 0
- 2026Fine-Tuning LLMs for Translation: General Forgetting Mitigation Does Not Preserve MT-Specific Instruction Followingcited by 0
- 2026Fine-Tuning LLMs for Translation: General Forgetting Mitigation Does Not Preserve MT-Specific Instruction Following23 Sep 2026
- 2026Neural Network Optimization Reimagined: Decoupled Techniques for Scratch and Fine-Tuning21 Apr 2026
- 2026The Geometry of Robustness: Optimizing Loss Landscape Curvature and Feature Manifold Alignment for Robust Finetuning of Vision-Language Models28 Mar 2026
- 2026Restoring Neural Network Plasticity for Faster Transfer Learning21 Mar 2026
- 2026Linearization Explains Fine-Tuning in Large Language Models9 Feb 2026
- 2025MAPS: Preserving Vision-Language Representations via Module-Wise Proximity Scheduling for Better Vision-Language-Action Generalization25 Nov 2025
- 2025Cautious Weight Decay14 Oct 2025
- 2025FRAMES-VQA: Benchmarking Fine-Tuning Robustness across Multi-Modal Shifts in Visual Question Answering27 May 2025
- 2025Directional Gradient Projection for Robust Fine-Tuning of Foundation Models21 Feb 2025