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Beyond Length Scaling: Synergizing Breadth and Depth for Generative Reward Models

Qiyuan Zhang, Yufei Wang, Tianhe Wu, Can Xu, Qingfeng Sun, Kai Zheng, Xue Liu, Chen Ma

TL;DR

Mix-GRM is introduced, a framework that reconfigures raw rationales into structured B-CoT and D-CoT through a modular synthesis pipeline, subsequently employing Supervised Fine-Tuning (SFT) and Reinforcement Learning with Verifiable Rewards (RLVR) to internalize and optimize these mechanisms.

Abstract

Recent advancements in Generative Reward Models (GRMs) have demonstrated that scaling the length of Chain-of-Thought (CoT) reasoning considerably enhances the reliability of evaluation. However, current works predominantly rely on unstructured length scaling, ignoring the divergent efficacy of different reasoning mechanisms: Breadth-CoT (B-CoT, i.e., multi-dimensional principle coverage) and Depth-CoT (D-CoT, i.e., substantive judgment soundness). To address this, we introduce Mix-GRM, a framework that reconfigures raw rationales into structured B-CoT and D-CoT through a modular synthesis pipeline, subsequently employing Supervised Fine-Tuning (SFT) and Reinforcement Learning with Verifiable Rewards (RLVR) to internalize and optimize these mechanisms. Comprehensive experiments demonstrate that Mix-GRM establishes a new state-of-the-art across five benchmarks, surpassing leading open-source RMs by an average of 8.2\%. Our results reveal a clear divergence in reasoning: B-CoT benefits subjective preference tasks, whereas D-CoT excels in objective correctness tasks. Consequently, misaligning the reasoning mechanism with the task directly degrades performance. Furthermore, we demonstrate that RLVR acts as a switching amplifier, inducing an emergent polarization where the model spontaneously allocates its reasoning style to match task demands. The synthesized data and models are released at \href{https://huggingface.co/collections/DonJoey/mix-grm}{Hugging Face}, and the code is released at \href{https://github.com/Don-Joey/Mix-GRM}{Github}.

Beyond Length Scaling: Synergizing Breadth and Depth for Generative Reward Models

TL;DR

Mix-GRM is introduced, a framework that reconfigures raw rationales into structured B-CoT and D-CoT through a modular synthesis pipeline, subsequently employing Supervised Fine-Tuning (SFT) and Reinforcement Learning with Verifiable Rewards (RLVR) to internalize and optimize these mechanisms.

Abstract

Recent advancements in Generative Reward Models (GRMs) have demonstrated that scaling the length of Chain-of-Thought (CoT) reasoning considerably enhances the reliability of evaluation. However, current works predominantly rely on unstructured length scaling, ignoring the divergent efficacy of different reasoning mechanisms: Breadth-CoT (B-CoT, i.e., multi-dimensional principle coverage) and Depth-CoT (D-CoT, i.e., substantive judgment soundness). To address this, we introduce Mix-GRM, a framework that reconfigures raw rationales into structured B-CoT and D-CoT through a modular synthesis pipeline, subsequently employing Supervised Fine-Tuning (SFT) and Reinforcement Learning with Verifiable Rewards (RLVR) to internalize and optimize these mechanisms. Comprehensive experiments demonstrate that Mix-GRM establishes a new state-of-the-art across five benchmarks, surpassing leading open-source RMs by an average of 8.2\%. Our results reveal a clear divergence in reasoning: B-CoT benefits subjective preference tasks, whereas D-CoT excels in objective correctness tasks. Consequently, misaligning the reasoning mechanism with the task directly degrades performance. Furthermore, we demonstrate that RLVR acts as a switching amplifier, inducing an emergent polarization where the model spontaneously allocates its reasoning style to match task demands. The synthesized data and models are released at \href{https://huggingface.co/collections/DonJoey/mix-grm}{Hugging Face}, and the code is released at \href{https://github.com/Don-Joey/Mix-GRM}{Github}.
Paper Structure (53 sections, 5 equations, 4 figures, 13 tables)

This paper contains 53 sections, 5 equations, 4 figures, 13 tables.

Figures (4)

  • Figure 1: The pipeline of the Mix-GRM. (i) Standardization: We extract raw rationales into modular Principle–Judgment–Verdict units. (II) Mechanism Synthesis: We reconstruct modules into B-CoT for preference or D-CoT for correctness. (III) Training & Inference: Following SFT and RLVR training, the model achieves mechanism-adaptive alignment, automatically deploying the optimal mechanism for inference and providing reliable signals for downstream tasks like Offline RL and test-time scaling.
  • Figure 2: Best-of-$10$ performance across four challenging reasoning and coding benchmarks. Mix-GRM (ours) consistently achieves the highest accuracy across all tasks, effectively identifying solutions in both mathematical and code generation scenarios. Red and green lines denote random and oracle selection baselines.
  • Figure 3: Structural evolution of CoT mechanisms. The chart tracks 4 indicators: the average token length per judgment, average principle count, and the percentage of CoT classified as having Breadth or Depth characteristics.
  • Figure 4: Ablation of B-CoT synthesis. (a) Aggregation Scale: Performance as aggregated rationales ($N$) increases from 1 (Vanilla) to 4. (b) Principle Selection: Comparison of Random, Full, and Consistency (Top-10) selection from the $N=4$ pool. Orange/blue lines denote Preference/Correctness; dashed lines indicate the Vanilla baseline.