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Big Data Mining: A Study
Big Data Mining: A Study

... Regression is finding function with minimal error to model data. It is statistical methodology that is most often used for numeric prediction. Regression analysis is widely used for prediction and forecasting, where its use has substantial overlap with the field of machine learning. Regression analy ...
slides in pdf - Università degli Studi di Milano
slides in pdf - Università degli Studi di Milano

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Dimensionality Reduction for Spectral Clustering
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... (ISOMAP) [27]—that implicitly combine aspects of clustering with dimension reduction. Indeed, when using kernels based on radial basis functions, kernel PCA arguably can be viewed as an implicit clustering method. However, none of these nonlinear dimension reduction techniques perform selection and ...
Question Bank/Assignment
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Nonlinear dimensionality reduction



High-dimensional data, meaning data that requires more than two or three dimensions to represent, can be difficult to interpret. One approach to simplification is to assume that the data of interest lie on an embedded non-linear manifold within the higher-dimensional space. If the manifold is of low enough dimension, the data can be visualised in the low-dimensional space.Below is a summary of some of the important algorithms from the history of manifold learning and nonlinear dimensionality reduction (NLDR). Many of these non-linear dimensionality reduction methods are related to the linear methods listed below. Non-linear methods can be broadly classified into two groups: those that provide a mapping (either from the high-dimensional space to the low-dimensional embedding or vice versa), and those that just give a visualisation. In the context of machine learning, mapping methods may be viewed as a preliminary feature extraction step, after which pattern recognition algorithms are applied. Typically those that just give a visualisation are based on proximity data – that is, distance measurements.
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