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Example doc updates
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lisitsyn committed Aug 28, 2011
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In this example toy data is being preprocessed using the Hessian Locally Linear Embedding algorithm
as described in

Donoho, D., & Grimes, C. (2003).
Hessian eigenmaps: new tools for nonlinear dimensionality reduction.
Proceedings of National Academy of Science (Vol. 100, pp. 5591-5596).
16 changes: 16 additions & 0 deletions examples/descriptions/modular/preprocessor_isomap.txt
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In this example toy data is being processed using the Isomap algorithm
as described in

Silva, V. D., & Tenenbaum, J. B. (2003).
Global versus local methods in nonlinear dimensionality reduction.
Advances in Neural Information Processing Systems 15, 15(Figure 2), 721-728. MIT Press.
Retrieved from http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.9.3407&rep=rep1&type=pdf

Before applying to the data the landmark approximation is enabled with
specified number of landmarks. The landmark approximation is described in

Sparse multidimensional scaling using landmark points
V De Silva, J B Tenenbaum (2004) Technology, p. 1-4

After enabling the landmark approximation k parameter -- the number
of neighbors in the k nearest neighbor graph -- is initialized.
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In this example toy data is being processed using kernel extension
of the Locally Linear Embedding (LLE) algorithm as described in

Kayo, O. (2006). Locally linear embedding algorithm. Extensions and applications. October.
Retrieved from: http://herkules.oulu.fi/isbn9514280415/isbn9514280415.pd

Linear kernel is used as kernel of the extension.
9 changes: 9 additions & 0 deletions examples/descriptions/modular/preprocessor_kernelpca.txt
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In this example toy data is being processed using the kernel PCA algorithm
as described in

Schölkopf, B., Smola, A. J., & Muller, K. R. (1999).
Kernel Principal Component Analysis.
Advances in kernel methods support vector learning, 1327(3), 327-352. MIT Press.
Retrieved from http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.32.8744i

A gaussian kernel is used for the processing.
10 changes: 10 additions & 0 deletions examples/descriptions/modular/preprocessor_laplacianeigemaps.txt
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In this example toy data is being processed using Laplacian Eigenmaps
algorithm as described in

Belkin, M., & Niyogi, P. (2002).
Laplacian Eigenmaps and Spectral Techniques for Embedding and Clustering.
Science, 14, 585-591. MIT Press.
Retrieved from http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.19.9400&rep=rep1&type=pdf

The number of neighbors for the kNN graph and the heat distribution
coeffcient is set before processing the data
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In this example toy data is being preprocessed using the Locally Linear Embedding (LLE)
algorithm as described in

Saul, L. K., Ave, P., Park, F., & Roweis, S. T. (2001).
An Introduction to Locally Linear Embedding. Available from, 290(5500), 2323-2326.
Retrieved from: http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.123.7319&rep=rep1&type=pdf

The number of neighbors used during the linear reconstruction step of the algorithm is set
before processing of the data.
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In this example toy data is being processed using the multidimensional
scaling as described on p.261 (Section 12.1) of

Borg, I., & Groenen, P. J. F. (2005).
Modern multidimensional scaling: Theory and applications. Springer.

Before processing the landmark approximation is disabled.
2 changes: 2 additions & 0 deletions examples/descriptions/modular/preprocessor_pca.txt
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In this example toy data is being processed using the
Principal Component Analysis.
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