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Reinforcement learning with verifiable rewards

Reinforcement learning with verifiable rewards is a training approach that optimizes a model using rewards derived from objectively checkable outcomes.

How 2 Manning books explain it

Reinforcement Learning from Human Feedback

Reinforcement learning with verifiable rewards (RLVR) is reinforcement learning in which rewards are derived from objectively checkable outcomes.

How it is used
Boosts reasoning, coding, mathematics, and other skills whose outputs can receive definitive correctness feedback.
How deep it goes
Defines verifier-based rewards, maps the sampling-and-policy-gradient loop, and lists training practices without deriving the underlying algorithms.
Examples
Uses prime-sum answer extraction, unit tests, code execution, theorem proving, and Tülu 3 and DeepSeek R1 training recipes.
What you can do after
Apply it via verifier-backed RL tooling to reinforce correct outputs on objectively checkable tasks.

Read how Reinforcement Learning from Human Feedback explains reinforcement learning with verifiable rewards →

Build a Reasoning Model (From Scratch)

A reinforcement learning approach that uses automatically checkable correctness rewards instead of human preference signals.

How it is used
Deploys automatically verifiable task rewards to train reasoning LLMs without human preference data or a learned reward model.
How deep it goes
Explains deterministic rewards, group sampling, GRPO loss, and the full training loop, but defers secure code-execution environments.
Examples
Uses binary math-answer verification, code compilation or execution, sampled response groups, and a PyTorch training loop with checkpoints.
What you can do after
Build it from scratch with a verifier, sampled rollouts, GRPO loss, optimizer updates, metrics, and model checkpoints.

Read how Build a Reasoning Model (From Scratch) explains reinforcement learning with verifiable rewards →

Related concepts

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