---
title: "Tensor-parallel weight shard mathematical notation"
description: "Tensor-parallel weight shard is a recurring research-paper notation family. Names the rank-local slice of a weight tensor produced by partitioning a…"
canonical_url: "https://fanout.sh/labs/math-decoder/symbol/tensor-parallel-shard"
md_url: "https://fanout.sh/labs/math-decoder/symbol/tensor-parallel-shard.md"
last_updated: "2026-08-09"
access: "public"
---

# Tensor-parallel weight shard mathematical notation

Tensor-parallel weight shard is a recurring research-paper notation family. Names the rank-local slice of a weight tensor produced by partitioning a…

## Public overview

Tensor-parallel weight shard is a recurring research-paper notation family. Names the rank-local slice of a weight tensor produced by partitioning a layer across parallel devices.

Tensor-parallel weight shard: Names the rank-local slice of a weight tensor produced by partitioning a layer across parallel devices. Example: Store only one partition of the layer weights on each device.

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