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examples/descriptions/modular/preprocessor_hessianlocallylinearembedding.txt
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In this example toy data is being preprocessed using the Hessian Locally Linear Embedding algorithm | ||
as described in | ||
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Donoho, D., & Grimes, C. (2003). | ||
Hessian eigenmaps: new tools for nonlinear dimensionality reduction. | ||
Proceedings of National Academy of Science (Vol. 100, pp. 5591-5596). |
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In this example toy data is being processed using the Isomap algorithm | ||
as described in | ||
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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 | ||
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Before applying to the data the landmark approximation is enabled with | ||
specified number of landmarks. The landmark approximation is described in | ||
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Sparse multidimensional scaling using landmark points | ||
V De Silva, J B Tenenbaum (2004) Technology, p. 1-4 | ||
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After enabling the landmark approximation k parameter -- the number | ||
of neighbors in the k nearest neighbor graph -- is initialized. |
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examples/descriptions/modular/preprocessor_kernellocallylinearembedding.txt
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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 | ||
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Kayo, O. (2006). Locally linear embedding algorithm. Extensions and applications. October. | ||
Retrieved from: http://herkules.oulu.fi/isbn9514280415/isbn9514280415.pd | ||
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Linear kernel is used as kernel of the extension. |
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In this example toy data is being processed using the kernel PCA algorithm | ||
as described in | ||
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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 | ||
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A gaussian kernel is used for the processing. |
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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 | ||
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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 | ||
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The number of neighbors for the kNN graph and the heat distribution | ||
coeffcient is set before processing the data |
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examples/descriptions/modular/preprocessor_locallylinearembedding.txt
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In this example toy data is being preprocessed using the Locally Linear Embedding (LLE) | ||
algorithm as described in | ||
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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 | ||
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The number of neighbors used during the linear reconstruction step of the algorithm is set | ||
before processing of the data. |
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examples/descriptions/modular/preprocessor_multidimensionalscaling.txt
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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 | ||
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Borg, I., & Groenen, P. J. F. (2005). | ||
Modern multidimensional scaling: Theory and applications. Springer. | ||
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Before processing the landmark approximation is disabled. |
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In this example toy data is being processed using the | ||
Principal Component Analysis. |
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