Mathematical Foundations of Data Science
Siegfried Handschuh author Tomas Hrycej author Bernhard Bermeitinger author Matthias Cetto author
Format:Hardback
Publisher:Springer International Publishing AG
Published:14th Mar '23
Should be back in stock very soon
This textbook aims to point out the most important principles of data analysis from the mathematical point of view. Specifically, it selected these questions for exploring: Which are the principles necessary to understand the implications of an application, and which are necessary to understand the conditions for the success of methods used? Theory is presented only to the degree necessary to apply it properly, striving for the balance between excessive complexity and oversimplification. Its primary focus is on principles crucial for application success.
Topics and features:
- Focuses on approaches supported by mathematical arguments, rather than sole computing experiences
- Investigates conditions under which numerical algorithms used in data science operate, and what performance can be expected from them
- Considers key data science problems: problem formulation including optimality measure; learning and generalization in relationships to training set size and number of free parameters; and convergence of numerical algorithms
- Examines original mathematical disciplines (statistics, numerical mathematics, system theory) as they are specifically relevant to a given problem
- Addresses the trade-off between model size and volume of data available for its identification and its consequences for model parametrization
- Investigates the mathematical principles involves with natural language processing and computer vision
- Keeps subject coverage intentionally compact, focusing on key issues of each topic to encourage full comprehension of the entire book
Although this core textbook aims directly at students of computer science and/or data science, it will be of real appeal, too, to researchers in the field who want to gain a proper understanding of the mathematical foundations “beyond” the sole computing experience.
“This is an excellent textbook in the field of big data processing and is highly recommended.” (Christian Posthoff, zbMATH 1529.68003, 2024)
ISBN: 9783031190735
Dimensions: unknown
Weight: unknown
213 pages