Mathematical Introduction to Data Science

Dekorationsartikel gehören nicht zum Leistungsumfang.

Sprache: Englisch

90,94 €

inkl. MwSt.

Versandkostenfrei per Post / DHL

Aktuell nicht verfügbar

Kategorien:

Beschreibung

This textbook is intended for students of mathematics who have completed the foundational courses of their undergraduate studies and now want to specialize in Data Science and Machine Learning. It introduces the reader to the most important topics in the latter areas focusing on rigorous proofs and a systematic understanding of the underlying ideas.

The textbook comes with 121 classroom-tested exercises. Topics covered include k-nearest neighbors, linear and logistic regression, clustering, best-fit subspaces, principal component analysis, dimensionality reduction, collaborative filtering, perceptron, support vector machines, the kernel method, gradient descent and neural networks.

Über den Autor

Sven A. Wegner earned his PhD in Functional Analysis in 2010. After several international academic positions, he is currently affiliated with the University of Hamburg (Germany).

Inhaltsverzeichnis

Preface.- 1 What is Data (Science)?.- 2 Affine Linear, Polynomial and Logistic Regression.- 3 k-nearest Neighbors.- 4 Clustering.- 5 Graph Clustering.- 6 Best-Fit Subspaces.- 7 Singular Value Decomposition.- 8 Curse and Blessing of High Dimensionality.- 9 Concentration of Measure.- 10 Gaussian Random Vectors in High Dimensions.- 11 Dimensionality Reduction à la Johnson-Lindenstrauss.- 12 Separation and Fitting of HIgh-Dimensional Gaussians.- 13 Perceptron.- 14 Support Vector Machines.- 15 Kernel Method.- 16 Neural Networks.- 17 Gradient Descent for Convex Functions.- Appendix: Selected Results of Probability Theory.- Bibliography.- Index.

Details

Erscheinungsjahr:	2024
Genre:	Informatik , Mathematik , Medizin , Naturwissenschaften , Technik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Inhalt:	ix 299 S. 119 s/w Illustr. 299 p. 119 illus.
ISBN-13:	9783662694251
ISBN-10:	3662694255
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Wegner, Sven A.
Hersteller:	Springer Springer-Verlag GmbH
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	235 x 155 x 16 mm
Von/Mit:	Sven A. Wegner
Erscheinungsdatum:	31.08.2024
Gewicht:	0,532 kg