Paper Overview
Field: NLP Authors: Siyi Gu, Jialin Chen, Sophia Zhou Published: 2026-06-19 arXiv: 2506.14973
Background
Post-training of reasoning language models is commonly driven by two approaches, each with known weaknesses:
- Supervised distillation relies on chain-of-thought annotations that are expensive to obtain and may themselves be noisy, incomplete, or partially incorrect. Even when the final solution is correct, an imperfect rationale can interfere with learning.
- Reinforcement learning with verifiable rewards (RLVR) typically compresses evaluative feedback into a scalar signal, obscuring which aspects of a response should be improved.
- Surpasses GRPO by 1.0 points on average.
- Surpasses OPSD by 0.9 points on average.
Method
The paper proposes Rubric-Conditioned Self-Distillation, a framework that incorporates rubrics as structured, fine-grained feedback for on-policy self-distillation. The method:
1. Conditions the teacher model on criterion-level rubrics. 2. Uses the teacher to provide token-level guidance on the student's own sampled trajectories.
This design avoids treating a single reference rationale as the sole supervision target. Instead, rubrics specify what a strong response should satisfy, enabling more fine-grained credit assignment over the reasoning process than scalar reward optimization.
Pipeline
The framework is instantiated with a two-stage pipeline:
1. Learn to generate task-specific rubrics. 2. Train a rubric-guided reasoner with rubric-conditioned self-distillation.
Results
Evaluated on a diverse suite of science reasoning benchmarks, rubric-conditioned self-distillation effectively converts rubric-level criteria into token-level guidance over the reasoning process:
Original Abstract
> Post-training of reasoning language models is commonly driven by supervised distillation and reinforcement learning with verifiable rewards. Distillation often relies on chain-of-thought annotations that are expensive to obtain and may themselves be noisy, incomplete, or partially incorrect; even when the final solution is correct, an imperfect rationale can interfere with learning. Reinforcement learning with verified rewards, on the other hand, typically compresses evaluative feedback into a scalar signal, obscuring which aspects of a response should be improved. We propose Rubric-Conditioned Self-Distillation, a framework that incorporates rubrics as structured, fine-grained feedback for on-policy self-distillation. Our method conditions the teacher model on criterion-level rubrics and uses it to provide token-level guidance on the student's own sampled trajectories. This design avoids treating a single reference rationale as the sole supervision target. Instead, rubrics specify what a strong response should satisfy, enabling more fine-grained credit assignment over the reasoning process than scalar reward optimization. We instantiate this framework with a two-stage pipeline that first learns to generate task-specific rubrics and then trains a rubric-guided reasoner. We evaluate on a diverse suite of science reasoning benchmarks and results show that rubric-conditioned self-distillation effectively converts rubric-level criteria into token-level guidance over the reasoning process, surpassing GRPO by 1.0 points and OPSD by 0.9 points on average.