Mathematical Introduction to Data Science

ISBN : 9783662694251

Author : Sven A. Wegner

Publisher : Springer

Year : 2024

Language : English

Type : Book

Description : What Is Data (Science)? Sven A. Wegner Pages 1-6 Affine Linear, Polynomial and Logistic Regression Sven A. Wegner Pages 7-34 k-Nearest Neighbors Sven A. Wegner Pages 35-50 Clustering Sven A. Wegner Pages 51-60 Graph Clustering Sven A. Wegner Pages 61-79 Best-Fit Subspaces Sven A. Wegner Pages 81-87 Singular Value Decomposition Sven A. Wegner Pages 89-114 Curse and Blessing of High Dimensionality Sven A. Wegner Pages 115-125 Concentration of Measure Sven A. Wegner Pages 127-137 Gaussian Random Vectors in High Dimensions Sven A. Wegner Pages 139-149 Dimensionality Reduction à la Johnson-Lindenstrauss Sven A. Wegner Pages 151-157 Separation and Fitting of High-Dimensional Gaussians Sven A. Wegner Pages 159-178 Perceptron Sven A. Wegner Pages 179-188 Support Vector Machines Sven A. Wegner Pages 189-208 Kernel Method Sven A. Wegner Pages 209-224 Neural Networks Sven A. Wegner Pages 225-260 Gradient Descent for Convex Functions Sven A. Wegner Pages 261-280 Selected Results of Probability Theory Sven A. Wegner Pages 281-288 Back Matter Pages 289-299

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