Laplacian eigenmaps

GPTKB entity

Statements (41)
Predicate Object
gptkbp:instanceOf dimensionality reduction technique
manifold learning algorithm
gptkbp:assumes data lies on a low-dimensional manifold
gptkbp:basedOn gptkb:graph_Laplacian
gptkbp:citation high
gptkbp:field gptkb:machine_learning
computer vision
data science
pattern recognition
manifold learning
https://www.w3.org/2000/01/rdf-schema#label Laplacian eigenmaps
gptkbp:input similarity graph
gptkbp:introduced gptkb:Partha_Niyogi
Mikhail Belkin
gptkbp:introducedIn 2001
gptkbp:output low-dimensional embedding
gptkbp:publishedIn Neural Information Processing Systems (NIPS) 2001
gptkbp:reduces graph-based cost function
gptkbp:relatedTo gptkb:spectral_graph_theory
gptkb:Isomap
gptkb:Locally_Linear_Embedding
dimensionality reduction
eigenvalue problem
semi-supervised learning
unsupervised learning
Laplacian matrix
spectral clustering
diffusion maps
graph embedding
manifold hypothesis
dimensionality reduction algorithms
eigenmaps
nonlinear embedding
gptkbp:step compute eigenvectors
compute graph Laplacian
construct adjacency graph
use eigenvectors for embedding
gptkbp:usedFor gptkb:data_visualization
nonlinear dimensionality reduction
gptkbp:bfsParent gptkb:Partha_Niyogi
gptkbp:bfsLayer 7