Glossary math Term Page

Singular Value

A stretching factor in SVD

singular-value #math#linear-algebra

Korean version

Aliases

singular value

Prerequisites

Matrix

Related Concepts

Singular Value Decomposition Low-Rank Approximation Dimensionality Reduction

Core Idea

A singular value measures how strongly a matrix stretches or shrinks a particular direction in singular value decomposition. Large singular values usually correspond to more important structure.

Role In This Blog

In Mathbong, singular values are the quantitative part of SVD and the basis for low-rank approximation, compression, and dimensionality reduction.

Posts Mentioning This Concept

[Linear Algebra Series Part 20] SVD and an Introduction to Dimensionality Reduction Use [[singular-value-decomposition|SVD]] to factor matrices, understand important directions, and connect low-rank approximation to [[dimensionality-reduction|dimensionality reduction]].[선형대수 시리즈 20편] 특이값 분해(SVD)와 차원축소 입문 특이값 분해(SVD)를 통해 행렬을 구조적으로 분해하고, 압축, 추천 시스템, 임베딩 차원축소와 연결합니다.