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Main Authors: Yin, Qingyu, Wu, Yulun, Shen, Zhennan, Li, Sunbowen, Wang, Zhilin, Li, Yanshu, Leong, Chak Tou, Kang, Jiale, Gu, Jinjin
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2512.23165
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author Yin, Qingyu
Wu, Yulun
Shen, Zhennan
Li, Sunbowen
Wang, Zhilin
Li, Yanshu
Leong, Chak Tou
Kang, Jiale
Gu, Jinjin
author_facet Yin, Qingyu
Wu, Yulun
Shen, Zhennan
Li, Sunbowen
Wang, Zhilin
Li, Yanshu
Leong, Chak Tou
Kang, Jiale
Gu, Jinjin
contents We systematically evaluate Parameter-Efficient Fine-Tuning (PEFT) methods under the paradigm of Reinforcement Learning with Verifiable Rewards (RLVR). RLVR incentivizes language models to enhance their reasoning capabilities through verifiable feedback; however, while methods like LoRA are commonly used, the optimal PEFT architecture for RLVR remains unidentified. In this work, we conduct the first comprehensive evaluation of over 12 PEFT methodologies across the DeepSeek-R1-Distill families on mathematical reasoning benchmarks. Our empirical results challenge the default adoption of standard LoRA with three main findings. First, we demonstrate that structural variants, such as DoRA, AdaLoRA, and MiSS, consistently outperform LoRA. Second, we uncover a spectral collapse phenomenon in SVD-informed initialization strategies (\textit{e.g.,} PiSSA, MiLoRA), attributing their failure to a fundamental misalignment between principal-component updates and RL optimization. Furthermore, our ablations reveal that extreme parameter reduction (\textit{e.g.,} VeRA, Rank-1) severely bottlenecks reasoning capacity. We further conduct ablation studies and scaling experiments to validate our findings. This work provides a definitive guide for advocating for more exploration for parameter-efficient RL methods.
format Preprint
id arxiv_https___arxiv_org_abs_2512_23165
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Evaluating Parameter Efficient Methods for RLVR
Yin, Qingyu
Wu, Yulun
Shen, Zhennan
Li, Sunbowen
Wang, Zhilin
Li, Yanshu
Leong, Chak Tou
Kang, Jiale
Gu, Jinjin
Machine Learning
We systematically evaluate Parameter-Efficient Fine-Tuning (PEFT) methods under the paradigm of Reinforcement Learning with Verifiable Rewards (RLVR). RLVR incentivizes language models to enhance their reasoning capabilities through verifiable feedback; however, while methods like LoRA are commonly used, the optimal PEFT architecture for RLVR remains unidentified. In this work, we conduct the first comprehensive evaluation of over 12 PEFT methodologies across the DeepSeek-R1-Distill families on mathematical reasoning benchmarks. Our empirical results challenge the default adoption of standard LoRA with three main findings. First, we demonstrate that structural variants, such as DoRA, AdaLoRA, and MiSS, consistently outperform LoRA. Second, we uncover a spectral collapse phenomenon in SVD-informed initialization strategies (\textit{e.g.,} PiSSA, MiLoRA), attributing their failure to a fundamental misalignment between principal-component updates and RL optimization. Furthermore, our ablations reveal that extreme parameter reduction (\textit{e.g.,} VeRA, Rank-1) severely bottlenecks reasoning capacity. We further conduct ablation studies and scaling experiments to validate our findings. This work provides a definitive guide for advocating for more exploration for parameter-efficient RL methods.
title Evaluating Parameter Efficient Methods for RLVR
topic Machine Learning
url https://arxiv.org/abs/2512.23165