---
title: "All-to-all collective mathematical notation"
description: "All-to-all collective is a recurring research-paper notation family. Redistributes distinct tensor chunks from every rank to every other rank, commonly…"
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md_url: "https://fanout.sh/labs/math-decoder/symbol/all-to-all.md"
last_updated: "2026-08-09"
access: "public"
---

# All-to-all collective mathematical notation

All-to-all collective is a recurring research-paper notation family. Redistributes distinct tensor chunks from every rank to every other rank, commonly…

## Public overview

All-to-all collective is a recurring research-paper notation family. Redistributes distinct tensor chunks from every rank to every other rank, commonly for sparse expert dispatch and return.

All-to-all collective: Redistributes distinct tensor chunks from every rank to every other rank, commonly for sparse expert dispatch and return. Example: Every device sends a different payload to every destination.

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