---
title: "All-gather collective mathematical notation"
description: "All-gather collective is a recurring research-paper notation family. Collects a distinct local shard from every rank and returns the concatenated global…"
canonical_url: "https://fanout.sh/labs/math-decoder/symbol/all-gather"
md_url: "https://fanout.sh/labs/math-decoder/symbol/all-gather.md"
last_updated: "2026-08-09"
access: "public"
---

# All-gather collective mathematical notation

All-gather collective is a recurring research-paper notation family. Collects a distinct local shard from every rank and returns the concatenated global…

## Public overview

All-gather collective is a recurring research-paper notation family. Collects a distinct local shard from every rank and returns the concatenated global tensor to all participating ranks.

All-gather collective: Collects a distinct local shard from every rank and returns the concatenated global tensor to all participating ranks. Example: Reconstruct the complete tensor on every rank from local pieces.

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