# kaal:claim:7456999-047

**Claim.** The data processing inequality cannot compare RLHF and RLRF because their labels arise from different observation mechanisms and no processing chain connects them.

**Type.** failure  **Support.** argued

**Holds when.**

- attempts to order RLHF and RLRF information using data processing

**Source quote.**

> The comparison with RLHF cannot be made by the data processing inequality. It orders two statistics of a common observation, and the scalar preference label is not a function of either RLRF transcript. They are outputs of different observation mechanisms applied to the same candidate output, and no processing chain connects them.

**From.** Wulf A. Kaal, *Reinforcement Learning from Reputation Feedback* (2026), III.D.3 Information-Theoretic Decomposition of the Signal, page 16

**Cite as.** Wulf A. Kaal, Reinforcement Learning from Reputation Feedback (2026). SSRN: https://ssrn.com/abstract=7456999

**Verify.** sha256 of source PDF `01016fbbcc25cad205cebd59ea686d8dfee8ae9b632095d86ba6c9a900456a4b` at https://raw.githubusercontent.com/wulfkaal/Academic-Papers/main/papers/pdf/Kaal%20-%202026%20-%20Reinforcement%20Learning%20from%20Reputation%20Feedback.pdf

**Topics.** research-methods, ai-and-agents, empirical-evidence

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