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Data reduction is the transformation of numerical or alphabetical digital information derived empirically or experimentally into a corrected, ordered, and simplified form. . The purpose of data reduction can be two-fold: reduce the number of data records by eliminating invalid data or produce summary data and statistics at different aggregation levels for various applications
Dimensionality reduction; ... Data mining is the process of extracting and ... and data snooping refer to the use of data mining methods to sample parts of a larger ...
Methods are commonly divided into linear and nonlinear approaches. [1] Linear approaches can be further divided into feature selection and feature extraction. [2] Dimensionality reduction can be used for noise reduction, data visualization, cluster analysis, or as an intermediate step to facilitate other analyses.
Principal component analysis (PCA) is a linear dimensionality reduction technique with applications in exploratory data analysis, visualization and data preprocessing.. The data is linearly transformed onto a new coordinate system such that the directions (principal components) capturing the largest variation in the data can be easily identified.
Many methods have been invented to extract a low-dimensional structure from the data set, such as principal component analysis and multidimensional scaling. [27] However, it is important to note that the problem itself is ill-posed, since many different topological features can be found in the same data set.
In information theory, data compression, source coding, [1] or bit-rate reduction is the process of encoding information using fewer bits than the original representation. [2] Any particular compression is either lossy or lossless. Lossless compression reduces bits by identifying and eliminating statistical redundancy. No information is lost in ...
One data mining method that is used to perform this task is known as multifactor dimensionality reduction. [15] In the area of electrical power engineering, data mining methods have been widely used for condition monitoring of high voltage electrical equipment.
Feature engineering in machine learning and statistical modeling involves selecting, creating, transforming, and extracting data features. Key components include feature creation from existing data, transforming and imputing missing or invalid features, reducing data dimensionality through methods like Principal Components Analysis (PCA), Independent Component Analysis (ICA), and Linear ...