Fetching the paper…
Reading the bibliography…
This is a tutorial and survey paper for Locally Linear Embedding (LLE) and its variants.
Fitting a mixture distribution to data: tutorial
Ghojogh, Benyamin, Ghojogh, Aydin, Crowley, Mark, and Karray, Fakhri · 1901
Earlier work this paper cites.
Eigenvalue and generalized eigenvalue problems: Tutorial
Ghojogh, Benyamin, Karray, Fakhri, and Crowley, Mark · 1903
Earlier work this paper cites.
Feature selection and feature extraction in pattern analysis: A literature review
Ghojogh, Benyamin, Samad, Maria N, Mashhadi, Sayema Asif, Kapoor, Tania, Ali, Wahab, Karray, Fakhri, and Crowley, Mark · 1905
Earlier work this paper cites.
Linear and quadratic discriminant analysis: Tutorial
Ghojogh, Benyamin and Crowley, Mark · 1906
Earlier work this paper cites.
Unsupervised and supervised principal component analysis: Tutorial
Ghojogh, Benyamin and Crowley, Mark · 1906
Earlier work this paper cites.
Fisher and kernel Fisher discriminant analysis: Tutorial
Ghojogh, Benyamin, Karray, Fakhri, and Crowley, Mark · 1906
Earlier work this paper cites.
Principles of numerical analysis
Householder, Alston S · 1953
Earlier work this paper cites.
Robust regression using iteratively reweighted least-squares
Holland, Paul W and Welsch, Roy E · 1977
Earlier work this paper cites.
Studies in the robustness of multidimensional scaling: Procrustes statistics
Sibson, Robin · 1978
Earlier work this paper cites.
Competitive learning algorithms for vector quantization
Ahalt, Stanley C, Krishnamurthy, Ashok K, Chen, Prakoon, and Melton, Douglas E · 1990
Earlier work this paper cites.
Spectral k-way ratio-cut partitioning and clustering
Chan, Pak K, Schlag, Martine DF, and Zien, Jason Y · 1994
Earlier work this paper cites.
Sequential quadratic programming
Boggs, Paul T and Tolle, Jon W · 1995
Earlier work this paper cites.
Fisher discriminant analysis with kernels
Mika, Sebastian, Ratsch, Gunnar, Weston, Jason, Scholkopf, Bernhard, and Mullers, Klaus-Robert · 1999
Earlier work this paper cites.
Nonlinear dimensionality reduction by locally linear embedding
Roweis, Sam T and Saul, Lawrence K · 2000
Earlier work this paper cites.
An introduction to locally linear embedding
Saul, Lawrence K and Roweis, Sam T · 2000
Earlier work this paper cites.
A global geometric framework for nonlinear dimensionality reduction
Tenenbaum, Joshua B, De Silva, Vin, and Langford, John C · 2000
Earlier work this paper cites.
A course in differential geometry , volume 27
Aubin, Thierry · 2001
Earlier work this paper cites.
Spline regression models
Marsh, Lawrence C and Cormier, David R · 2001
Earlier work this paper cites.
The kernel trick for distances
Schölkopf, Bernhard · 2001
Earlier work this paper cites.
Using the Nyström method to speed up kernel machines
Williams, Christopher KI and Seeger, Matthias · 2001
Earlier work this paper cites.
Locally linear embedding for classification
De Ridder, Dick and Duin, Robert PW · 2002
Earlier work this paper cites.
Logistic regression
Kleinbaum, David G, Dietz, K, Gail, M, Klein, Mitchel, and Klein, Mitchell · 2002
Earlier work this paper cites.
Nonlinear projection with the isotop method
Lee, John A and Verleysen, Michel · 2002
Earlier work this paper cites.
Grouping and dimensionality reduction by locally linear embedding
Polito, Marzia and Perona, Pietro · 2002
Earlier work this paper cites.
Think globally, fit locally: Unsupervised learning of nonlinear manifolds
Saul, Lawrence K and Roweis, Sam T · 2002
Earlier work this paper cites.
Learning with kernels: support vector machines, regularization, optimization, and beyond
Schölkopf, Bernhard, Smola, Alexander J, Bach, Francis, et al · 2002
Earlier work this paper cites.
Laplacian eigenmaps for dimensionality reduction and data representation
Belkin, Mikhail and Niyogi, Partha · 2003
Earlier work this paper cites.
Supervised locally linear embedding
De Ridder, Dick, Kouropteva, Olga, Okun, Oleg, Pietikäinen, Matti, and Duin, Robert PW · 2003
Earlier work this paper cites.
Supervised locally linear embedding algorithm for pattern recognition
Kouropteva, Olga, Okun, Oleg, and Pietikäinen, Matti · 2003
Earlier work this paper cites.
Locally linear embedding versus isotop
Lee, John Aldo, Archambeau, Cédric, and Verleysen, Michel · 2003
Cited alongside, same era.
Think globally, fit locally: unsupervised learning of low dimensional manifolds
Saul, Lawrence K and Roweis, Sam T · 2003
Cited alongside, same era.
Convex optimization
Boyd, Stephen, Boyd, Stephen P, and Vandenberghe, Lieven · 2004
Cited alongside, same era.
A kernel view of the dimensionality reduction of manifolds
Ham, Jihun, Lee, Daniel D, Mika, Sebastian, and Schölkopf, Bernhard · 2004
Cited alongside, same era.
Kernels, associated structures and generalizations
Hein, Matthias and Bousquet, Olivier · 2004
Cited alongside, same era.
Image quality assessment: from error visibility to structural similarity
Wang, Zhou, Bovik, Alan C, Sheikh, Hamid R, and Simoncelli, Eero P · 2004
Cited alongside, same era.
Enhanced supervised locally linear embedding
Zhang, Shi-qing · 2009
Later among the works it cites.
Supervised locally linear embedding with probability-based distance for classification
Zhao, Lingxiao and Zhang, Zhenyue · 2009
Later among the works it cites.
Regularization parameter choice in locally linear embedding
Daza-Santacoloma, Genaro, Acosta-Medina, Carlos D, and Castellanos-Domínguez, Germán · 2010
Later among the works it cites.
Guided locally linear embedding
Alipanahi, Babak and Ghodsi, Ali · 2011
Later among the works it cites.
Global and local choice of the number of nearest neighbors in locally linear embedding
Álvarez-Meza, Andrés, Valencia-Aguirre, Juliana, Daza-Santacoloma, Genaro, and Castellanos-Domínguez, Germán · 2011
Later among the works it cites.
Supervised principal component analysis: Visualization, classification and regression on subspaces and submanifolds
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Unified locally linear embedding and linear discriminant analysis algorithm (ULLELDA) for face recognition
Zhang, Junping, Shen, Huanxing, and Zhou, Zhi-Hua · 2004
Cited alongside, same era.
Measuring statistical dependence with Hilbert-Schmidt norms
Gretton, Arthur, Bousquet, Olivier, Smola, Alex, and Schölkopf, Bernhard · 2005
Cited alongside, same era.
Incremental locally linear embedding
Kouropteva, Olga, Okun, Oleg, and Pietikäinen, Matti · 2005
Cited alongside, same era.
Face recognition with weighted locally linear embedding
Mekuz, Nathan, Bauckhage, Christian, and Tsotsos, John K · 2005
Cited alongside, same era.
ISOLLE: Locally linear embedding with geodesic distance
Varini, Claudio, Degenhard, Andreas, and Nattkemper, Tim · 2005
Cited alongside, same era.
Graph embedding: A general framework for dimensionality reduction
Yan, Shuicheng, Xu, Dong, Zhang, Benyu, and Zhang, Hong-Jiang · 2005
Cited alongside, same era.
Barshan, Elnaz, Ghodsi, Ali, Azimifar, Zohreh, and Jahromi, Mansoor Zolghadri · 2011
Later among the works it cites.
Locally linear embedding: a survey
Chen, Jing and Liu, Yang · 2011
Later among the works it cites.
Supervised locally linear embedding projection (SLLEP) for machinery fault diagnosis
Li, Benwei and Zhang, Yun · 2011
Later among the works it cites.
Robust locally linear embedding using penalty functions
Winlaw, Manda, Dehkordy, Leila Samimi, and Ghodsi, Ali · 2011
Later among the works it cites.
A general framework for dimensionality-reducing data visualization mapping
Bunte, Kerstin, Biehl, Michael, and Hammer, Barbara · 2012
Later among the works it cites.
Out-of-sample kernel extensions for nonparametric dimensionality reduction
Gisbrecht, Andrej, Lueks, Wouter, Mokbel, Bassam, and Hammer, Barbara · 2012
Later among the works it cites.
An iterative locally linear embedding algorithm
Kong, Deguang, Ding, Chris HQ, Huang, Heng, and Nie, Feiping · 2012
Later among the works it cites.
Facial expression recognition using local binary patterns and discriminant kernel locally linear embedding
Zhao, Xiaoming and Zhang, Shiqing · 2012
Later among the works it cites.
Locally linear embedding (LLE) for MRI based Alzheimer’s disease classification
Liu, Xin, Tosun, Duygu, Weiner, Michael W, Schuff, Norbert, and Alzheimer’s Disease Neuroimaging Initiative · 2013
Later among the works it cites.
Eigenvalues of the Laplacian and their relationship to the connectedness of a graph
Marsden, Anne · 2013
Later among the works it cites.
Locally linear landmarks for large-scale manifold learning
Vladymyrov, Max and Carreira-Perpinán, Miguel Á · 2013
Later among the works it cites.
Open Problems in Spectral Dimensionality Reduction
Strange, Harry and Zwiggelaar, Reyer · 2014
Later among the works it cites.
Parametric nonlinear dimensionality reduction using kernel t-sne
Gisbrecht, Andrej, Schulz, Alexander, and Hammer, Barbara · 2015
Later among the works it cites.
Trace class operators and Hilbert-Schmidt operators
Bell, Jordan · 2016
Later among the works it cites.
On eigenvalues of Laplacian matrix for a class of directed signed graphs
Ahmadizadeh, Saeed, Shames, Iman, Martin, Samuel, and Nešić, Dragan · 2017
Later among the works it cites.
Non-convex optimization for machine learning
Jain, Prateek and Kar, Purushottam · 2017
Later among the works it cites.
Literature survey on low rank approximation of matrices
Kishore Kumar, N and Schneider, Jan · 2017
Later among the works it cites.
Robust data representation using locally linear embedding guided PCA
Jiang, Bo, Ding, Chris, and Luo, Bin · 2018
Later among the works it cites.
Think globally, fit locally under the manifold setup: Asymptotic analysis of locally linear embedding
Wu, Hau-Tieng, Wu, Nan, et al · 2018
Later among the works it cites.
Nonlinear manifold classification based on lle
He, Ping, Jing, Tianyu, Xu, Xiaohua, Zhang, Lei, Liao, Zheng, and Fan, Baichuan · 2019
Later among the works it cites.
Multidimensional scaling, Sammon mapping, and Isomap: Tutorial and survey
Ghojogh, Benyamin, Ghodsi, Ali, Karray, Fakhri, and Crowley, Mark · 2020
Closest in time.
Discriminative locally linear mapping for medical diagnosis
He, Ping, Chang, Xincheng, Xu, Xiaohua, Zhang, Zhijun, Jing, Tianyu, and Lou, Yuan · 2020
Closest in time.
LLE code package
Roweis, Sam T · 2020
Closest in time.