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Mathematical foundations for data analysis

By: Phillips, Jeff M.
Series: Springer Series in the Data Sciences.Publisher: Cham : Springer, 2021Description: xvii, 287 p. ; ill., 24 cm.ISBN: 9783030623401.Subject(s): Data mining | Machine learning | Aggregate shape | Bloom filter | Count sketch | Data matrix | Eigenvectors | Frank-Wolfie optimization | Gaussian Kernel | Heavy-tailed distributions | Identity function | Kernel density estimate | Loss function | Mahalanobis distance | Outliers | Power method | Ridge regression | VC dimension | Widraw-Hoff learning ruleDDC classification: 006.312 Summary: This textbook, suitable for an early undergraduate up to a graduate course, provides an overview of many basic principles and techniques needed for modern data analysis. In particular, this book was designed and written as preparation for students planning to take rigorous Machine Learning and Data Mining courses. It introduces key conceptual tools necessary for data analysis, including concentration of measure and PAC bounds, cross validation, gradient descent, and principal component analysis. It also surveys basic techniques in supervised (regression and classification) and unsupervised learning (dimensionality reduction and clustering) through an accessible, simplified presentation. Students are recommended to have some background in calculus, probability, and linear algebra. Some familiarity with programming and algorithms is useful to understand advanced topics on computational techniques.
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Books 006.312 PHI (Browse shelf) Available 033048

Includes bibliographical references and index.

This textbook, suitable for an early undergraduate up to a graduate course, provides an overview of many basic principles and techniques needed for modern data analysis. In particular, this book was designed and written as preparation for students planning to take rigorous Machine Learning and Data Mining courses. It introduces key conceptual tools necessary for data analysis, including concentration of measure and PAC bounds, cross validation, gradient descent, and principal component analysis. It also surveys basic techniques in supervised (regression and classification) and unsupervised learning (dimensionality reduction and clustering) through an accessible, simplified presentation. Students are recommended to have some background in calculus, probability, and linear algebra. Some familiarity with programming and algorithms is useful to understand advanced topics on computational techniques.

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