Learning with Fractional Orthogonal Kernel Classifiers in Support Vector Machines - Theory, Algorithms and Applications (Hardcover, 1st ed. 2023)

This book contains select chapters on support vector algorithms from different perspectives, including mathematical background, properties of various kernel functions, and several applications. The main focus of this book is on orthogonal kernel functions, and the properties of the classical kernel functions-Chebyshev, Legendre, Gegenbauer, and Jacobi-are reviewed in some chapters. Moreover, the fractional form of these kernel functions is introduced in the same chapters, and for ease of use for these kernel functions, a tutorial on a Python package named ORSVM is presented. The book also exhibits a variety of applications for support vector algorithms, and in addition to the classification, these algorithms along with the introduced kernel functions are utilized for solving ordinary, partial, integro, and fractional differential equations. On the other hand, nowadays, the real-time and big data applications of support vector algorithms are growing. Consequently, the Compute Unified Device Architecture (CUDA) parallelizing the procedure of support vector algorithms based on orthogonal kernel functions is presented. The book sheds light on how to use support vector algorithms based on orthogonal kernel functions in different situations and gives a significant perspective to all machine learning and scientific machine learning researchers all around the world to utilize fractional orthogonal kernel functions in their pattern recognition or scientific computing problems.

General

Imprint:	Springer Verlag, Singapore
Country of origin:	Singapore
Series:	Industrial and Applied Mathematics
Release date:	March 2023
First published:	2022
Editors:	Jamal Amani Rad • Kourosh Parand • Snehashish Chakraverty
Dimensions:	235 x 155mm (L x W)
Format:	Hardcover
Pages:	312
Edition:	1st ed. 2023
ISBN-13:	978-981-19-6552-4
Categories:	Books > Science & Mathematics > Mathematics > Probability & statistics Books > Computing & IT > Applications of computing > Pattern recognition Books > Science & Mathematics > Mathematics > Algebra > General Books > Science & Mathematics > Mathematics > Optimization > General Books > Computing & IT > Computer programming > Programming languages > General Books > Computing & IT > Applications of computing > Artificial intelligence > Machine learning Promotions
LSN:	981-19-6552-8
Barcode:	9789811965524

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