Rubrics from the Task, Verdicts from Evidence: Pointwise Rubric Rewards with Tool-Augmented Judges
Organizations: University of Tennessee · University at Albany
Abstract
Rubric-based reward models (RMs) evaluate responses against explicit criteria. However, existing methods often derive criteria from observed response candidates, introducing response-induced bias that may limit rubric generalizability. Their judges also struggle with mechanical constraints when relying on reading alone, and commonly used pairwise judges provide only relative preferences, complicating their direct use for policy optimization. We propose ReVeR, a pointwise rubric RM that derives hard rules and graded principles by reasoning about the instruction alone and evaluates responses independently through tool-augmented judging. Both components are trained through label-blind distillation, in which preference labels only filter a teacher's outputs, yielding ReVeR-Traces, a large-scale dataset of rubric-reasoning and judging trajectories. Experiments demonstrate that ReVeR outperforms pairwise rubric RMs in average preference accuracy, most clearly on instruction following, as well as in test-time scaling and downstream policy optimization. We further find that generator RL improves preference accuracy while reducing rubric fidelity, and that higher preference accuracy does not necessarily translate into better downstream policies. These findings highlight that rubric fidelity, preference accuracy, and downstream utility are distinct properties, shedding light on future RM research.
Figures & tables
| (a) Systems | |||||
| Rubric | Verdict | Judge | |||
| from task | point. | per crit. | exec. | trained | |
| Rubric-RM / -ARM | ✗ | ✗ | ✗ | ✗ | ✓ |
| RUBRIC-ARROW | ✗ | ✓ | ✓ | ✗ | ✓ |
| CE-RM | ✓ | ✓ | ✗ | ✗ | ✓ |
| RLCF | ✗ | ✓ | ✓ | ✗ | |
| RewardBench | IF pairs | RM-Bench | RewardBench 2 | RubricBench | JudgeBench | Avg. | ||||||
| Chat | Hard | IFEval | IFBench | Chat | IF | Focus | Chat | IF | Know. | Reas. | ||
| Reasoning reward models | ||||||||||||
| JudgeLRM-7B | 92.1 | 56.1 | 46.0 | 47.5 | 55.4 | 9.4 | 29.1 | 39.4 | 39.0 | 50.3 | 54.4 | 47.2 |
| RRM-7B | 77.7 | 69.5 | 51.0 | 53.2 | 59.9 | 10.0 | 60.4 | 46.1 | 41.5 | 61.4 | 54.4 | 53.2 |
| RRM-32B | 94.7 | 81.1 | 60.2 | 60.8 | 73.9 | 34.4 | 83.6 | 39.9 | 46.3 | 69.5 | 79.9 | 65.8 |
| RM-R1-7B (Qwen2.5-Inst) | 83.0 | 70.0 | 55.2 | 55.2 | 64.2 | 20.6 | 76.2 | 43.9 | 44.7 | 59.4 | 58.4 | 57.3 |
| Reward | IFEval | IFBench | MulDimIF | Arena-Hard | Avg. | ||||
| Strict | Loose | Style Control | Vanilla | ||||||
| Prompt | Instruction | Prompt | Instruction | ||||||
| Base policy | 72.1 | 79.6 | 74.5 | 81.8 | 33.7 | 51.7 | 53.1 | 52.9 | 53.9 |
| DPO | |||||||||
| Rubric-RM-8B | 72.6 | 79.5 | 78.6 | 84.8 | 35.0 | 54.3 | 52.5 | 52.2 | 55.1 1.2 |
| Rubric-ARM-8B | 73.9 | 81.8 | 79.5 | 86.0 | 34.0 | 54.4 | 53.4 | 53.5 | 55.5 1.6 |
| (a) Agreement with expert rubrics | ||||||
| Chat | Instruction following | |||||
| R | P | F1 | R | P | F1 | |
| Rubric-RM-8B | 28.9 | 20.3 | 22.8 | 43.8 | 26.4 | 32.2 |
| Rubric-ARM-8B | 25.3 | 24.2 | 23.6 | 41.0 | 31.9 | 34.9 |
| ReVeR (SFT) | 31.1 | 37.5 | 32.1 | 47.2 | 48.3 | 46.3 |
| ReVeR (G-RL) | 27.4 | 29.3 | 27.0 | 39.2 | 39.0 | 38.1 |
| Instruction. … Which college would you recommend? … be sure the letter p appears at least 15 times in your response. |
| Responses. Both ask for the user’s preferences and name no college. A contains 16 p’s and B contains 13. Expert label: A. |
| Shared hard rule. ReVeR: “The response contains at least 15 occurrences of the lowercase letter ‘p’.” Rubric-ARM: “The response must contain at least 15 instances of the letter p.” |
| ReVeR judge , one program per response: response.count(’p’) returns 16 for A and 13 for B. Scores 3.10 and 2.00; it prefers A in 6 of 6 runs. |
| Rubric-ARM judge , reading both responses. Order (A, B): “only Response B satisfies the crucial letter-p count gatekeeper.” Order (B, A): both “fail … the letter-p count gatekeeper” and B “at least reaches closer to 15 p’s.” It prefers B in both orders of 3 of 3 repeats. |
Appendix figures & tables10 assets
Supplementary material from the paper’s appendix.
Appendix
| Distillation | Generator RL | Policy | |||
| Generator | Judge | GRPO | DPO | GRPO | |
| Initial model | Qwen3.5-4B | distilled generator | Qwen2.5-7B-Instruct | ||
| Training examples | 30,310 | 60,620 | 7,118 | 20,407 / 20,479 | 21,627 |
| Epochs | 1 | 1 | 1 | 1 | 1 |
| Learning rate | |||||
| GPUs | 8 | 8 | 5 | 4 | 5 |
| IFEval | MulDimIF | ||||
| closing | claims | heading | claims | caps (%) | |
| Base policy | 10 | 1 | 17 | 14 | 4 |
| DPO | |||||
| ReVeR (SFT) | 15 | 2 | 20 | 17 | 10 |
| ReVeR (G-RL) | 16 | 0 | 21 | 24 | 7 |
| GRPO | |||||
| Chat | IF | |||
| SFT | G-RL | SFT | G-RL | |
| Criteria per rubric | 4.65 | 5.00 | 5.60 | 5.47 |
| Without a principle (%) | 3.9 | 0.2 | – | – |
| Reasoning (characters) | 7,826 | 3,571 | 10,190 | 4,332 |
| Contribution of | ||||
| P | shares | hard rules | principles | |
| Chat | 8.0 | 2.0 | 0.9 | 5.1 |
| IF | 8.9 | 5.3 | 0.1 | 3.5 |
| Position | 1 | 2 | 4 | 5 |
| SFT | 46.9 | 43.6 | 33.2 | 28.3 |
| G-RL | 45.3 | 40.0 | 18.8 | 15.3 |
| Chat | IF | |||
| SFT | G-RL | SFT | G-RL | |
| Covered per prompt | 1.9 | 1.6 | 2.7 | 2.2 |
| Prompts with no match (%) | 19.3 | 23.8 | 4.9 | 7.3 |
| Stably lost under G-RL | 146 | 53 | ||
| Stably gained under G-RL | 81 | 17 | ||
| More frequent after RL | Less frequent after RL | ||||
| SFT | G-RL | SFT | G-RL | ||
| accurately | 1.9 | 7.2 | any | 9.6 | 3.8 |
| practical | 1.4 | 4.3 | each | 7.1 | 4.3 |
| organized | 1.2 | 3.9 | explicitly | 4.8 | 1.6 |
| actionable | 1.4 | 3.8 | directly | 4.8 | 1.7 |
| coherently | 0.4 | 2.7 | every | 1.2 | 0.2 |
| Chat | IF | |||
| SFT | G-RL | SFT | G-RL | |
| Preference accuracy | 52.7 | 52.3 | 61.0 | 62.1 |
| Ties (%) | 3.5 | 0.9 | 4.1 | 1.4 |
| Decided by hard rules (%) | 39.9 | 38.2 | 60.4 | 54.5 |
| Decided by principles (%) | 56.3 | 60.6 | 35.0 | 43.1 |
| Accuracy, hard rules decide | 59.1 | 58.5 | 75.8 | 77.1 |
| Expert criterion | SFT (2 hard rules, 3 principles) | G-RL (1 hard rule, 5 principles) | ||
| Has a clear step-by-step structure | ✓ | “presented in an organized, coherent manner that makes it easy … to follow” | ✗ | “sufficiently clear and organized to be followed without prior specialized knowledge” |
| Gives appropriate health and safety cautions | ✓ | “avoids recommendations that could reasonably cause harm” | ✓ | “accounts for potential risks such as choking, aspiration, or dehydration” |
| Stays on the question, without unrelated content | ✓ | “directly addresses the question … rather than providing unrelated information” | ✗ | “provides a practical method or technique … rather than an unrelated topic” |
| Includes specific practical details | ✗ | – | ✗ | “includes actionable steps (e.g., posture, swallowing rhythm, breath control)” |
| Reads the question as about healthy drinking habits, not the literal act | ✗ | – | ✗ | “appropriately contextualizes the technique (e.g., casual hydration, emergency survival …)” |