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How far can small reasoning models go in math?

Phi-4-Mini-Reasoning: Exploring the Limits of Small Reasoning Language Models in Math

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What the paper says

The authors test a small LLM on various math tasks and show that with careful fine-tuning and RL, the model can solve problems previously only solved by larger models.

The Critique

The evaluation tasks are limited to arithmetic and high-school algebra. The paper does not test proof generation or higher-level mathematics.

Why It Matters

Understanding the limits of small models helps allocate resources and may make reasoning more accessible.

What They Missed

There is no analysis of how the model handles ambiguous or multi-step problems.

The Big Question

What are the theoretical and practical limits of small reasoning models in mathematics and beyond?