Johnson–Lindenstrauss lemma

id: johnson-lindenstrauss-lemma-176-5802948
title: Johnson–Lindenstrauss lemma
text: In mathematics, the Johnson–Lindenstrauss lemma is a result named after William B. Johnson and Joram Lindenstrauss concerning low-distortion embeddings of points from high-dimensional into low-dimensional Euclidean space. The lemma states that a set of points in a high-dimensional space can be embedded into a space of much lower dimension in such a way that distances between the points are nearly preserved. In the classical proof of the lemma, the embedding is a random orthogonal projection. The
brand slug: wiki
category slug: encyclopedia
description: Mathematical result
original url: https://en.wikipedia.org/wiki/Johnson%E2%80%93Lindenstrauss_lemma
date created: 2007-12-23T23:05:48Z
date modified: 2024-09-03T16:33:48Z
main entity: {"identifier":"Q6268577","url":"https://www.wikidata.org/entity/Q6268577"}
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fields total: 13
integrity: 15

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