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Equation 2 · Part 2 · Comparing the Main Approaches to Robotics and Embodied AI

Symbol s

p(s′∣s,a)p(s' \mid s, a)
ss

What this part means

s is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

Its job in the formula

s is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

The passage around this formula

Nothing in this update requires knowing or estimating p(s' ∣\mid s, a) ; it only requires having experienced (s, a, r, s') . A model-based approach instead fits an explicit dynamics model p^θ(s′∣s,a)\hat{p}_\theta(s' \mid s, a) — a “world model” — and plans against it directly:

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Learn the underlying idea

A variable is a named place for a value. Its letter is a local label: x can mean position in one formula and a data point in another.

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Sources cited in the article section

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