Kernel Methods for Machine Learning with Math and R
100 Exercises for Building Logic
Published on 4. May 2022
XII, 196 pages
978-981-19-0398-4 (ISBN)
Description
The most crucial ability for machine learning and data science is mathematical logic for grasping their essence rather than relying on knowledge or experience. This textbook addresses the fundamentals of kernel methods for machine learning by considering relevant math problems and building R programs.
The book's main features are as follows:
- The content is written in an easy-to-follow and self-contained style.
- The book includes 100 exercises, which have been carefully selected and refined. As their solutions are provided in the main text, readers can solve all of the exercises by reading the book.
- The mathematical premises of kernels are proven and the correct conclusions are provided, helping readers to understand the nature of kernels.
- Source programs and running examples are presented to help readers acquire a deeper understanding of the mathematics used.
- Once readers have a basic understanding of the functional analysis topics covered in Chapter 2, the applications are discussed in the subsequent chapters. Here, no prior knowledge of mathematics is assumed.
- This book considers both the kernel for reproducing kernel Hilbert space (RKHS) and the kernel for the Gaussian process; a clear distinction is made between the two.
More details
Series
Edition
1st ed. 2022
Language
English
Place of publication
Singapore
Singapore
Publishing group
Springer Singapore
Product notice
Reflowable
Illustrations
XII, 196 p. 32 illus., 29 illus. in color.
ISBN-13
978-981-19-0398-4 (9789811903984)
DOI
10.1007/978-981-19-0398-4
Schweitzer Classification
Other editions
Additional editions
Book
05/2022
Springer
€48.14
Shipment within 3-4 weeks
Person
Joe Suzuki is a professor of statistics at Osaka University, Japan. He has published more than 100 papers on graphical models and information theory.
He is the author of a series of textbooks in machine learning published by Springer.
- Statistical Learning with Math and R- Statistical Learning with Math and Python- Sparse Estimation with Math and R
- Sparse Estimation with Math and Python- Kernel Methods for Machine Learning with Math and R (This book)- Kernel Methods for Machine Learning with Math and Python
He is the author of a series of textbooks in machine learning published by Springer.
- Statistical Learning with Math and R- Statistical Learning with Math and Python- Sparse Estimation with Math and R
- Sparse Estimation with Math and Python- Kernel Methods for Machine Learning with Math and R (This book)- Kernel Methods for Machine Learning with Math and Python
Content
Chapter 1: Positive Definite Kernels.- Chapter 2: Hilbert Spaces.- Chapter 3: Reproducing Kernel Hilbert Space.- Chapter 4: Kernel Computations.- Chapter 5: MMD and HSIC.- Chapter 6: Gaussian Processes and Functional Data Analyses.
