OpenAlex | Nonlinear dimension reduction via outer Bi-Lipschitz extensions

Nonlinear dimension reduction via outer Bi-Lipschitz extensions

Work

Year: 2018

Type: article

Abstract: We introduce and study the notion of *an outer bi-Lipschitz extension* of a map between Euclidean spaces. The notion is a natural analogue of the notion of *a Lipschitz extension* of a Lipschitz map. ... more

Authors Sepideh Mahabadi, Konstantin Makarychev, Yury Makarychev, Ilya Razenshteyn

Institutions Columbia University, Northwestern University, Toyota Technological Institute at Chicago, Microsoft (United States)

Cites: 46

Cited by: 24

Related to: 10

FWCI: 5.25

Citation percentile (by year/subfield): 96.54

Topic: Computational Geometry and Mesh Generation

Subfield: Computer Graphics and Computer-Aided Design

Field: Computer Science

Domain: Physical Sciences

Open Access status: green