← Mathematical compendium

Published equation contexts

p^θ(s′∣s,a)\hat{p}_\theta(s' \mid s, a)

Why this formula appears here

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:

Read the full article-specific guide →

Read the representative guide

p^θ\hat{p}_\theta

Symbol hatp_θ

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

Read this term in its guide →
ss

Symbol s

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

Read this term in its guide →
aa

Symbol a

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

Read this term in its guide →

How to interpret it

Read this expression with the definitions, units, and assumptions supplied by the article.

Research cited beside this formula

Published contexts (1)

A symbol can carry a different meaning in another article. Each occurrence keeps its own guide and term definitions.

p^θ(s′∣s,a)\hat{p}_\theta(s' \mid s, a)

Equation 4 · Robotics & Embodied AI

Comparing the Main Approaches to Robotics and Embodied AI

This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.

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:

Equation guide → · Article →