Sven A. Wegner Wegner Mathematical Introduction to Data Science

Mathematical Introduction to Data Science

von Sven A. Wegner

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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.

The author

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).


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.


Provides a concise and understandable introduction to the mathematics of data science Guides the reader by the central principles of the subject Mathematically precise and focussed on the application

Autor*in

Sven A. Wegner

Themen in »Mathematical Introduction to Data Science«

Machine Learning Data Science Support Vector Machines Deep learning Perceptron Vector support machines SVM Kernel methods Neural Networks Applied functional analysis Measure Concentration

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Details

ISBN: 9783662694251
Verlag: Springer Berlin
Erscheinung: 31.08.2024

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