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Equation 1 · Part 8 · Evaluating Trajectories, Not Answers

=

τ=(s0, (a1,o1), …, (an,on), sn)\tau = \big(s_0,\ (a_1, o_1),\ \dots,\ (a_n, o_n),\ s_n\big)
=

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.

The passage around this formula

A language model evaluation is, structurally, a function from a prompt to a string. Grading the string may be very hard, but the object being graded is small, static, and fully observed. An agent produces something categorically larger. The natural unit of observation is a trajectory: τ=(s0, (a1,o1), …, (an,on), sn)\tau = \big(s_0,\ (a_1, o_1),\ \dots,\ (a_n, o_n),\ s_n\big). an initial environment state, an ordered sequence of actions with the observations they returned, and a terminal state. Everything that separates a competent run from a lucky one lives in the middle terms. A conventional success indicator reads only the last one.

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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.

Open the illustrated equality: what the equals sign claims guide →

The article lists its research sources here.