by Amit Shekhar · 25 April 2026
RMSNorm (Root Mean Square Layer Normalization)
RMSNorm, a faster and simpler alternative to Layer Normalization that powers most modern Large Language Models like Llama, Mistral, Gemma, Qwen, PaLM, and DeepSeek.
Read on Outcome School ↗then come back to lock it in
Before you read, guessWhat two operations does LayerNorm perform on values?
Ten seconds, a guess, then read — a wrong guess still makes the answer stick.
What this article covers
- The Big Picture
- Why Do We Need Normalization?
- A Quick Recap of Layer Normalization
- What Is RMSNorm?
- The Math Behind RMSNorm
- Let's Put This Into Perspective With Real Numbers
- LayerNorm vs RMSNorm - The Key Differences
- Why Modern LLMs Prefer RMSNorm
- A Code Example
- Where RMSNorm Fits in a Transformer
The article lives on outcomeschool.com. Read it there, then come back: the tutor in the margin has read it and will answer questions, and the questions below check what stayed.