license: mit
language:
- en
tags:
- optimization
- muon
- deep-learning
- pytorch
- distributed-computing
- ZeRO
- tensor parallelism
- data parallelism
- tutorial
- cpu-friendly
🧩 The "Muon is Scalable" Blueprint: A Distributed Muon Engineering Breakdown(CPU-Friendly, tutorial style)
A practical, annotated engineering breakdown for the Muon optimizer — extended into a fully distributed (DP × TP) version that actually runs on plain CPU/Gloo, so broke-but-curious builders can still get their hands dirty.
This is the expert-level systems engineering companion to my original Understanding the Muon Optimizer tutorial.
💡 “Because sometimes the best way to learn the distributed nightmare is to get your hands dirty and your eyes crossed.” 🤪
🌕 Why This Exists
Most public Muon examples (like MoonShot’s PoC) are designed for multi-GPU NCCL clusters, making them impossible to run or debug for most of us. In addition, most documentation for distributed systems is written by experts, for experts, making it a "nightmare" to learn. My goal is to change that.
This repository is not a "simplified" version that "flattens the depth" of the work.
Instead, it's a didactic refactor. I've taken the complex, real-world PoC and optimized it for readability and learning, so you can see the "blueprint" behind the "chaos":
- Fully annotated to demonstrate data parallel (ZeRO-1) + tensor parallel (TP) orchestration end-to-end.
- Understand every “distributed acrobatic” step (
DP gather→TP gather→Newton–Schulz→TP shard→DP shard). - The code is optimized to highlight symmetrical logic and consistent naming, showing the "opposite arrow" data flow of the "virtual map" (
dist_meta). - It's built to run on a single CPU machine or Colab notebook.
🧠 The “Turtle Speed” Breakthrough: The Full Story
This code is complex. It's a "distributed nightmare" 🫠.
Instead of a traditional, long-form README, the best documentation is the "making of" story. I've chronicled my entire journey of reverse-engineering and debugging this code in my "Turtle Speed Breakthrough" series on Medium.
- Part 1: The “Turtle Speed” Breakthrough: Decoding Distributed Optimizers
- Part 2: My Map of the Distributed Nightmare (The Blueprint)
- Part 3: The Final Bugs and "Aha!" Moments
This tutorial is the final, runnable code that resulted from that deep dive.
🚀 Quick Start
Run the CPU-safe, fully-annotated notebook right from your browser:
Or, you can clone this repo and run the Python script locally to simulate an 8-process cluster on your CPU:
git clone https://huggingface.co/datasets/bird-of-paradise/muon-distributed
cd muon-distributed
# This will spawn 8 processes and run the full test
!python distributed_muon_cpu.py
(Note: For the original, un-annotated, buggy Moonshot PoC that this work is based on, you can find it in this commit.)
🗂️ What's Inside (File Guide)
distributed_muon_cpu.ipynb: (Start Here) The Colab-friendly notebook that walks through the environment fixes and runs the code.distributed_muon_cpu.py: The final, tested, fixed, and heavily-annotated Python script. This is the "golden" code that runs on a CPU-only environment using the"gloo"backend.distributed_muon.py: My annotated and logically debugged version of the GPU code. This is for users who have a multi-GPU"nccl"environment. (Note: Since I don't have a multi-GPU cluster, this version is untested... unless someone wants to sponsor me with some GPUs! 😉)
🎓 What You'll Learn (The "Nightmare" Blueprint)
By exploring this code, you'll see the real implementation of the concepts I discuss in my articles:
- The 2D Grid: How to set up orthogonal
dist_group(DP) andtp_group(TP) handles. - The "Aisles" & "Pallets": How
param_groups(buffer_idx) and communicationbuckets(bucket_idx) are used to organize parameters. - The "Virtual Buffer": How a "master plan" (
dist_metaandglobal_buffer_size) is used to manage memory for sharding (ZeRO-1). - The Acrobatic Data Flow: The full
(DP gather -> TP gather) -> (Run Math) -> (TP shard -> DP shard)journey. - The Nuance: You'll see why we bucket the slow DP
all_gatherbut don't need to bucket the fast, on-node TPall_gather.
🐞 Summary of All Fixes
This repo isn't just a copy-paste. It's the result of a week-long debugging "nightmare." Here are all the bugs we had to find and fix to make it run:
| Issue | Problem | Solution |
|---|---|---|
| Logic Bug #1 | Missing params = group["params"] |
Added the line in the Muon update loop. |
| Logic Bug #2 | ns_input was 1D after unpacking, crashing zeropower. |
Changed .view(-1) to .view(dist_meta.shape) to restore the 2D shape. |
| Env Bug #1 | Hardcoded "nccl" backend. |
Changed dist.init_process_group to use "gloo". |
| Env Bug #2 | Hardcoded 'cuda' device. |
Changed gen_param_and_grads to use 'cpu'. |
| Env Bug #3 | mp.spawn() crashes in Jupyter/Colab. |
The .ipynb runs the code as a !python subprocess, bypassing the notebook kernel. |
📖 Citation
If you use this tutorial in your work, please cite the original Muon paper and this tutorial.
@misc{wei2025muondistributed,
author = {Wei, Jen},
title = {A CPU-Friendly Tutorial for Distributed Muon (DPxTP)},
year = {2025},
howpublished = {\url{[https://huggingface.co/datasets/](https://huggingface.co/datasets/)<your-hf-handle>/muon-distributed}}
}
@misc{jordan2024muon,
author = {Jordan, Keller, et al.},
title = {Muon: An optimizer for hidden layers in neural networks},
year = {2024},
url = {[https://kellerjordan.github.io/posts/muon/](https://kellerjordan.github.io/posts/muon/)}
}
@misc{liu2025muonscalable,
author = {Liu, Jingyuan, et al.},
title = {Muon is Scalable for LLM Training},
year = {2025},
url = {[https://arxiv.org/abs/2502.16982](https://arxiv.org/abs/2502.16982)}
}