Equation 9 · Part 5 · What RLHF Actually Optimises: Rated Agreeableness, and Where It Parts from Helpfulness
=
=
What this part means
The expressions on both sides represent the same quantity under the stated assumptions.
Its job in the formula
The equals sign connects the complete expression on the left with the complete expression on the right. Both sides must have compatible units.
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The passage around this formula
Gao, Schulman and Hilton measured this cleanly by building a synthetic setting in which a large fixed “gold” reward model plays the role of the human, and a smaller “proxy” reward model is trained on its labels [ 8 ] . Optimising the proxy raises the gold score at first and then lowers it. They fit empirical functional forms in d , the square root of the KL divergence from the initial policy, finding for best-of- n sampling = d( - d) and for reinforcement learning
Learn the underlying idea
An equals sign says that the expression on its left and the expression on its right have the same value under the stated definitions and assumptions.
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Sources cited in the surrounding passage
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