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COLM 2025

Understanding R1-Zero-Like Training: A Critical Perspective

Separate base-model ability, prompt effects and optimizer bias in reasoning RL. Understand Dr. GRPO's fixed denominator with an executable weighting exercise.

Breakdown by FDE Interviews · 10 min read · Updated

About the original · 2025
AUTHORS
Liu, Chen, Li, Qi, Pang, Du, Lee, Lin
FROM
Sea AI Lab, National University of Singapore, Singapore Management University
PUBLISHED
Mar 2025 · COLM 2025
IN THIS BREAKDOWN · 10 SECTIONS

You can read 18% of this breakdown.

01

The paper in one minute

This paper examines two ingredients of R1-Zero-style training: the starting model and the reinforcement-learning objective. Its central warning is that apparent emergence can have more than one explanation. A prompt can reveal or suppress capability already present in a base model, while an optimizer can encourage longer responses without improving their correctness.

The authors test base models under different templates and observe reasoning-related behavior before RL. They then identify two reweighting terms in the examined GRPO objective: division by response length and division by the group's reward standard deviation. Their Dr. GRPO variant removes those terms, using a fixed scale for loss reduction instead.

The experiments report improved token efficiency, particularly by reducing unnecessary length in incorrect responses. A separate minimalist recipe produces Oat-Zero-7B, with 43.3% AIME 2024 accuracy under the reported protocol. That result belongs to the complete model, data and training setup, not to an isolated denominator change.

Read the paper as a guide to experimental attribution. It does not show that RL never improves reasoning or that all long answers are wasteful. It shows why model initialization, prompting, evaluation budget and objective implementation must be controlled before assigning credit to training. The official repository provides the authors' implementation and artifacts.

THE IDEA, VISUALLY
THE DENOMINATOR CHANGES WHICH TOKENS GET WEIGHT Magnitude of a negative per-token coefficient; centered advantage = -0.5 in both responses. DIVIDE BY RESPONSE LENGTH DIVIDE BY A FIXED CONSTANT: 8 2-token response 0.2500 8-token response 0.0625 2-token response 0.0625 8-token response 0.0625 Coefficients before the common group average, clipping and token-gradient vectors. Equal per-token coefficients do not imply equal total sequence gradients. Synthetic example, not benchmark data.
Our synthetic coefficient comparison based on section 3.1 and Listing 1. The figure holds centered reward fixed to isolate length scaling. These are coefficient magnitudes before clipping and token-gradient vectors, not measured gradient norms.
Research notes: the problem, approach and results
43.3%

Oat-Zero-7B AIME24, Table 4

3,000

default generation-token budget, Appendix B and Table 6

3 runs

seed comparison in Appendix C, Figure 9

THE PROBLEM

Prompt changes and loss normalization can make reasoning-training gains or longer outputs easy to misinterpret.

THE IDEA

Evaluate base policies carefully, remove response-length and group-standard-deviation reweighting, and inspect correct and incorrect outputs separately.

THE RESULT

The paper reports better token efficiency and a strong Oat-Zero recipe; longer reasoning alone does not establish better reasoning.

02

Why it matters to an FDE

An enterprise adaptation proposal often compares a tuned model against a weakly configured baseline. If the baseline uses a mismatched prompt or an insufficient output budget, the measured gain can exaggerate what training contributed. Establish a reasonable prompt and decoding baseline before committing resources to RL.

The same issue appears in runtime tuning. More reasoning tokens may improve some tasks while making wrong answers longer and more expensive. Measure length conditional on correctness, rather than assuming that a rising average indicates progress. The sampling concept explains why decoding settings also affect the comparison.

For a training team, ask to see the actual reduction code. A library call named mean can hide a response-dependent denominator that changes the effective objective. The paper makes that review concrete and gives an FDE a way to connect training behavior to inference cost without claiming to diagnose the model from a single metric.

THE FULL BREAKDOWN

Understand the mechanism. Try it on a real problem.

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  • ◇1 architecture diagram
  • </>2 runnable code blocks
  • ▦3 results tables
  1. 03Key takeaways

    Six controls for separating prompt effects, reward scaling and real generalization

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  2. 04How it works

    Follow the two removed normalization terms and the finite-group correction

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  3. 05The numbers that matter

    Keep optimizer ablations, model sizes and generation budgets attached to their results

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  4. 06Try it yourself

    Calculate length weights, reward-variance scaling and the leave-one-out identity

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  5. 07Where it breaks

    Recognize the limits of template studies, behavior labels and a fixed loss scale

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  6. 08Using it on a deployment

    Design an adaptation comparison that can explain where the improvement came from

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  7. 09Interview angles

    Explain a weak baseline, a misleading length curve and the exact normalization change

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