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NLPCA - nonlinear PCA - auto-associative neural networks - autoencoder bottleneck neural networks - Matthias Scholz

Nonlinear principal component analysis (NLPCA) based on auto-associative neural networks, also known as autoencoder, replicator networks, bottleneck or sandglass type networks.

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NLPCA - nonlinear PCA - auto-associative neural networks - autoencoder bottleneck neural networks - Matthias Scholz | nlpca.org Reviews
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Nonlinear principal component analysis (NLPCA) based on auto-associative neural networks, also known as autoencoder, replicator networks, bottleneck or sandglass type networks.
<META>
KEYWORDS
1 nonlinear principal component analysis
2 NLPCA
3 nonlinear PCA
4 non-linear PCA
5 circular PCA
6 principal component analysis
7 PCA
8 auto-associative neural network
9 autoencoder
10 bottleneck network
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NLPCA - nonlinear PCA - auto-associative neural networks - autoencoder bottleneck neural networks - Matthias Scholz | nlpca.org Reviews

https://nlpca.org

Nonlinear principal component analysis (NLPCA) based on auto-associative neural networks, also known as autoencoder, replicator networks, bottleneck or sandglass type networks.

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Nonlinear PCA

Complexity (hidden-units, weight-decay). Nonlinear PCA toolbox for MATLAB. Complexity (hidden-units, weight-decay). Nonlinear PCA toolbox for MATLAB.

INTERNAL PAGES

nlpca.org nlpca.org
1

ICA - Independent Component Analysis

http://www.nlpca.org/ica_independent_component_analysis.html

ICA - Independent Component Analysis. Matthias Scholz, Ph.D. thesis. Applying ICA is motivated by the idea that the variation in molecular data is generated by divers factors s. These may include internal biological factors as well as external environmental or technical factors. Each observed variable x (e.g., gene) can therefore be seen as derived from a specific combination of these factors. The illustrated factors may represent an increase of temperature (s 1. An internal circadian rhythm (s 2. Matlab...

2

Nonlinear PCA - model validation - Matthias Scholz

http://www.nlpca.org/validation-of-nonlinear-PCA.html

Validation of nonlinear PCA. Is an unsupervised model, standard techniques for model selection, including cross-validation or more generally the use of an independent test set, fail when applied to nonlinear PCA. But instead we can validate the complexity of the nonlinear PCA model by using the error in missing data estimation as a criterion for model selection. This is motivated by the idea that only the model of optimal complexity is able to predict missing values with the highest accuracy. Set randoml...

3

PCA - Principal Component Analysis

http://www.nlpca.org/pca_principal_component_analysis.html

PCA - Principal Component Analysis. PCA is a standard technique for visualizing high dimensional data and for data pre-processing. PCA reduces the dimensionality (the number of variables) of a data set by maintaining as much variance as possible. Matthias Scholz, Ph.D. thesis. Such two-dimensional visualization of the samples allow us to draw qualitative conclusions about the separability of experimental conditions (marked by different colors). Independent Component Analysis (ICA). Nonlinear PCA (NLPCA) ...

4

Nonlinear PCA toolbox for Matlab - auto-associative neural networks - autoencoder bottleneck neural networks - Matthias Scholz

http://www.nlpca.org/matlab.html

Nonlinear PCA toolbox for MATLAB. Nonlinear principal component analysis (NLPCA). Pc, net] = nlpca(data, k) pc = nlpca get components(net, data) data reconstruction = nlpca get data(net, pc). The nonlinear PCA is based on an auto-associative neural network (autoencoder). See also: www.nlpca.org. Pc = nlpca(data,k). Nonlinear components from the data set. pc. Represents the estimated component values (scores). Can be used in nlpca get components. And nlpca get data. See also the demos of the toolbox.

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Feature extraction using PCA - Computer vision for dummies

http://www.visiondummy.com/2014/05/feature-extraction-using-pca

Computer vision for dummies. Machine Learning Books: A review. Raquo; Dimensionality reduction. Raquo; Feature extraction. Raquo; Feature extraction using PCA. Feature extraction using PCA. PCA as a decorrelation method. PCA as an orthogonal regression method. A practical PCA application: Eigenfaces. 1) Center the data. 2) Normalize the data. 3) Calculate the eigendecomposition. 4) Project the data. In an earlier article, we discussed the so called Curse of Dimensionality. Approaches. However, in pra...

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NLPCA - nonlinear PCA - auto-associative neural networks - autoencoder bottleneck neural networks - Matthias Scholz

Nonlinear PCA toolbox for MATLAB. Auto-associative neural network (Autoencoder). Nonlinear principal component analysis (NLPCA) is commonly seen as a nonlinear generalization of standard principal component analysis (PCA). It generalizes the principal components from straight lines to curves (nonlinear). Thus, the subspace in the original data space which is described by all nonlinear components is also curved. Publications by Matthias Scholz. Validation of nonlinear PCA. Pdf (Neural Process Lett). Edite...

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