📜 Theorem, law or theory

Johnson–Lindenstrauss lemma

Lema de Johnson-Lindenstrauss

Date
1984 · confidence low
Place
Columbus, Ohio, United States
Credited to
William B. Johnson and Joram Lindenstrauss (1984)
Field
Knowledge & symbols

What was discovered

Mathematical result showing that a set of points in a high-dimensional space can be embedded into a much lower-dimensional space while nearly preserving the distances between them.

What it led to

  • dimensionality reduction in machine learning
  • compressed sensing
  • manifold learning
  • natural language processing

Links

Sources✓ verified 2026-09-28