Title
A Nonlinear Dimensionality Reduction Framework Using Smooth Geodesics.
Abstract
•Our algorithm reveals underlying smooth manifolds of high-dimensional data.•The smoothing spline approach ensures the smoothness of a corrupted manifold.•The algorithm handles noise and sparsity gracefully.•Performance versus neighborhood size, smoothness, sparsity, and noise are analyzed.•Compared to Isomap, embeddings of face images and hand written digits are improved.
Year
DOI
Venue
2019
10.1016/j.patcog.2018.10.020
Pattern Recognition
Keywords
DocType
Volume
Manifold,Nonlinear dimensionality reduction,Smoothing spline,Geodesics,Noisy measurements
Journal
87
Issue
ISSN
Citations 
1
0031-3203
1
PageRank 
References 
Authors
0.35
17
3
Name
Order
Citations
PageRank
Gajamannage Kelum121.73
Randy Paffenroth29914.17
Erik M. Bollt321329.07