Title
Approximate Sampling Method for Locally Linear Embedding
Abstract
We deal with the nonlinear manifold learning problem to find a low-dimensional structure in high-dimensional data. Based on Gaussian random fields framework, we propose an approximate sampling method for coordinates on the manifolds. Experimentally the mean of samples are shown to be almost equal to the coordinates obtained by locally linear embedding where the generated set of samples of coordinates show interesting variety.
Year
DOI
Venue
2007
10.1109/IJCNN.2007.4371023
IJCNN
Keywords
Field
DocType
gaussian random fields framework,approximation theory,learning (artificial intelligence),nonlinear manifold learning problem,locally linear embedding system,gaussian processes,approximate sampling method,sampling methods,embedded systems,high dimensional data,learning artificial intelligence,manifold learning,gaussian random field
Embedding,Random field,Action-angle coordinates,Gaussian process,Artificial intelligence,Sampling (statistics),Orthogonal coordinates,Generalized coordinates,Machine learning,Mathematics,Manifold
Conference
ISSN
ISBN
Citations 
1098-7576 E-ISBN : 978-1-4244-1380-5
978-1-4244-1380-5
0
PageRank 
References 
Authors
0.34
6
3
Name
Order
Citations
PageRank
Hyun Chul Kim1655.82
Kyu-Hwan Jung2824.82
Jaewook Lee3728.87