---
title: "Row-parallel linear layer mathematical notation"
description: "Row-parallel linear layer is a recurring research-paper notation family. Partitions a linear layer's input dimension so each rank computes a partial…"
canonical_url: "https://fanout.sh/labs/math-decoder/symbol/row-parallel-linear"
md_url: "https://fanout.sh/labs/math-decoder/symbol/row-parallel-linear.md"
last_updated: "2026-08-09"
access: "public"
---

# Row-parallel linear layer mathematical notation

Row-parallel linear layer is a recurring research-paper notation family. Partitions a linear layer's input dimension so each rank computes a partial…

## Public overview

Row-parallel linear layer is a recurring research-paper notation family. Partitions a linear layer's input dimension so each rank computes a partial output that must be summed across ranks.

Row-parallel linear layer: Partitions a linear layer's input dimension so each rank computes a partial output that must be summed across ranks. Example: Every rank contributes part of each output activation and the collective adds them.

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