On 2013 Jun 19, Robert Tibshirani commented:

This paper presents an interesting idea for fitting a curved manifold to a set of data points. The first author-- Sam Roweis, was a beloved researcher in machine learning, who died prematurely in 2010. This was one of his best known papers. In the same issue of Science, Tenenbaum et al propose a different procedure with the same goal: "ISOMAP" http://www.ncbi.nlm.nih.gov/pubmed/?term=A+Global+Geometric+Framework+for+Nonlinear+Dimensionality+Reduction. A third approach that relates the problem to local multidimensional scaling, is presented in "Local Multidimensional Scaling for Nonlinear Dimension Reduction, Graph Drawing and Proximity Analysis (Chen and Buja; JASA 2009). This last paper also makes comparisons to local linear embedding and ISOMAP.

On 2013 Jun 19, Robert Tibshirani commented:

This paper presents an interesting idea for fitting a curved manifold to a set of data points. The first author-- Sam Roweis, was a beloved researcher in machine learning, who died prematurely in 2010. This was one of his best known papers. In the same issue of Science, Tenenbaum et al propose a different procedure with the same goal: "ISOMAP" http://www.ncbi.nlm.nih.gov/pubmed/?term=A+Global+Geometric+Framework+for+Nonlinear+Dimensionality+Reduction. A third approach that relates the problem to local multidimensional scaling, is presented in "Local Multidimensional Scaling for Nonlinear Dimension Reduction, Graph Drawing and Proximity Analysis (Chen and Buja; JASA 2009). This last paper also makes comparisons to local linear embedding and ISOMAP.