---
title: "Jacobian-vector product mathematical notation"
description: "Jacobian-vector product is a recurring research-paper notation family. Applies a Jacobian to one input-direction vector without necessarily materializing…"
canonical_url: "https://fanout.sh/labs/math-decoder/symbol/jacobian-vector-product"
md_url: "https://fanout.sh/labs/math-decoder/symbol/jacobian-vector-product.md"
last_updated: "2026-08-09"
access: "public"
---

# Jacobian-vector product mathematical notation

Jacobian-vector product is a recurring research-paper notation family. Applies a Jacobian to one input-direction vector without necessarily materializing…

## Public overview

Jacobian-vector product is a recurring research-paper notation family. Applies a Jacobian to one input-direction vector without necessarily materializing the full Jacobian matrix.

Jacobian-vector product: Applies a Jacobian to one input-direction vector without necessarily materializing the full Jacobian matrix. Example: Propagate one input perturbation forward through f.

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