# Hessian-Vector Product

> Source: https://sukruyusufkaya.com/en/glossary/hessian-vector-product
> Updated: 2026-05-13T21:00:16.565Z
> Type: glossary
> Category: derin-ogrenme
**TLDR:** A computational technique that accesses second-order information without explicitly forming the full Hessian matrix.

<p>The Hessian-vector product is a crucial tool for using second-order information without incurring the full cost of constructing the Hessian matrix. It is particularly useful in curvature analysis, second-order optimization, and certain meta-learning methods. Since forming the full Hessian is impractical in large networks, these vector-based computations are highly valuable. It is one of the advanced mathematical tools in deep learning optimization.</p>