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NeurIPS 2025

Does Reinforcement Learning Really Incentivize Reasoning Capacity in LLMs Beyond the Base Model?

RL can improve one-attempt accuracy while reducing measured task coverage. Read pass@k correctly and compare adaptation against sampling with a real verifier.

Breakdown by FDE Interviews · 11 min read · Updated

About the original · 2025
AUTHORS
Yue, Chen, Lu, Zhao, Wang, Yue, Song, Huang
FROM
Tsinghua University, Shanghai Jiao Tong University
PUBLISHED
Apr 2025 · NeurIPS 2025
IN THIS BREAKDOWN · 10 SECTIONS

You can read 16% of this breakdown.

01

The paper in one minute

Reinforcement learning can make a model much more likely to produce a correct answer on its first attempt without expanding the set of problems it can solve. This study tests that distinction by comparing base models with their RL-trained counterparts across increasing numbers of sampled answers.

Its central metric is pass@k: a problem counts as solved if at least one of the sampled candidates is correct. In the evaluated settings, RL-trained models often lead at small sampling budgets, while base models catch up or overtake them at larger budgets. The authors also compare the actual problems solved and examine the probability of reasoning paths, rather than relying only on the aggregate curves.

That evidence supports a narrower conclusion than the slogan that RL cannot teach reasoning. The study covers particular public models, training recipes and evaluators. It explicitly leaves room for different exploration strategies, richer feedback and agent-environment interaction. It also finds a different pattern for distillation, where a teacher supplies information beyond the student's own sampled outputs.

For an engineer, the practical question is whether adaptation improves the service at its real operating budget. A correct candidate buried among many wrong ones is useful only if your system can identify it before the deadline.

THE IDEA, VISUALLY
ONE-TRY ACCURACY CAN HIDE LOST COVERAGE Two equally weighted task classes; independent draws within each class. Expected pass@k 0% 25% 50% 75% 100% 1 2 4 8 16 32 64 128 BASE p = 0.15, 0.15 Both classes reachable TUNED p = 0.70, 0.001 One class gets rare Attempts per task (log scale) Pass@k assumes a correct candidate can be recognized. A real selector must be evaluated separately.
Original synthetic pass@k curves. The base policy has success probabilities 0.15 and 0.15 across two equally weighted task classes; the tuned policy has 0.70 and 0.001. The experiment calculates the same curves. No measured model result is plotted.
Research notes: the problem, approach and results
6

RL algorithms in the comparison, Table 1

128

sample pool for MATH500 in Appendix A.2

1,024

sample pool for AIME24 in Appendix A.2

THE PROBLEM

An increase in one-attempt accuracy may conceal problems that became harder to solve under a larger sampling budget.

THE IDEA

Compare base and RL-trained models across pass@k budgets, inspect which problems each solves and distinguish coverage from selection.

THE RESULT

The studied RLVR recipes often improve sampling efficiency while narrowing measured coverage. The evidence does not establish a universal limit on reinforcement learning.

02

Why it matters to an FDE

A customer may request reinforcement learning after seeing an impressive reasoning score. Before proposing a training job, determine whether the current model already produces correct solutions occasionally, whether a reliable verifier exists and how much inference budget the workflow can afford.

For code generation, a test runner may help select among candidates, although incomplete tests can accept incorrect programs. For policy advice, there may be no comparably trustworthy automatic check. The same pass@k improvement therefore has different operational value in the two products.

Use this paper to design a comparison between adaptation and inference-time search. Include latency, total generated tokens and selected-answer correctness. Keep task coverage visible too: a tuning change that benefits common requests may damage a rare but important customer workflow. Knowledge distillation explains a separate option when a stronger teacher can supply useful demonstrations.

THE FULL BREAKDOWN

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

    Six lessons about sampling budgets, verifiers and what the study can establish

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  2. 04How it works

    Estimate pass@k, inspect coverage transitions and separate oracle scores from delivery

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  3. 05The numbers that matter

    Keep sampling settings and dataset-specific budgets attached to reported coverage

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  4. 06Try it yourself

    Build crossing curves and verify the pass@k estimator without training a model

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  5. 07Where it breaks

    Recognize finite-sampling limits, weak graders and mismatched production budgets

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  6. 08Using it on a deployment

    Compare checkpoints at equal operating budgets and audit the selector separately

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  7. 09Interview angles

    Explain crossing curves and propose an evaluation that measures customer value

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