---
title: "Policy KL penalty mathematical notation"
description: "Policy KL penalty is a recurring research-paper notation family. Discourages a trained policy from moving too far from a reference distribution by…"
canonical_url: "https://fanout.sh/labs/math-decoder/symbol/kl-penalty"
md_url: "https://fanout.sh/labs/math-decoder/symbol/kl-penalty.md"
last_updated: "2026-08-09"
access: "public"
---

# Policy KL penalty mathematical notation

Policy KL penalty is a recurring research-paper notation family. Discourages a trained policy from moving too far from a reference distribution by…

## Public overview

Policy KL penalty is a recurring research-paper notation family. Discourages a trained policy from moving too far from a reference distribution by charging scaled KL divergence.

Policy KL penalty: Discourages a trained policy from moving too far from a reference distribution by charging scaled KL divergence. Example: Trade higher reward against staying close to baseline behavior.

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