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Algebraic Geometry and Statistical Learning Theory Cambridge Monographs on Applied and Computational Mathematics, Series Number 25 1st Edition
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Watanabe’s book lays the foundations for the use of algebraic geometry in statistical learning theory.
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Product Details
- Foundational book by Watanabe integrating algebraic geometry into statistical learning theory
- Addresses singular models/machines such as mixture models, neural networks, HMMs, Bayesian networks, and stochastic context-free grammars
- Provides theoretical basis for accurate estimation techniques in the presence of singularities
- Part of the Cambridge Monographs on Applied and Computational Mathematics series
- Sure to have a significant impact in the field of statistical learning theory
- First edition of the book
| Publisher | Cambridge University Press |
| Publication date | September 28, 2009 |
| Edition | 1st |
| Language | English |
| Print length | 300 pages |
| ISBN-10 | 0521864674 |
| ISBN-13 | 978-0521864671 |
| Item Weight | 1.25 pounds (570 grams) |
| Dimensions | 6.25 x 1 x 9 inches (15.9 x 2.5 x 22.9 cm) |
Who Should Buy?
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Graduate Students
Ideal for advanced graduate students focusing on the intersection of algebraic geometry and statistical learning theory.
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Research Professionals
Useful for researchers seeking to apply algebraic geometry concepts in statistical learning frameworks and computational mathematics.
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Mathematical Statisticians
Perfect for statisticians interested in theoretical foundations and mathematical underpinnings of statistical learning algorithms.
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Casual Readers
Not suitable for casual readers; the content is complex and requires foundational knowledge in mathematics.
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Undergraduate Students
Undergraduates may find the material too advanced without prior exposure to algebraic geometry or statistical theory.
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Practitioners Only
This book is theoretical and may not cater to practitioners seeking practical applications without mathematical rigor.
Product Description
Algebraic Geometry and Statistical Learning Theory Cambridge Monographs on Applied and Computational Mathematics, Series Number 25 1st Edition
Customer Questions & Answers
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Question:
What is the focus of Watanabe's book?
Answer: The book lays the foundations for the use of algebraic geometry in statistical learning theory. -
Question:
What are some examples of singular models/machines?
Answer: Mixture models, neural networks, HMMs, Bayesian networks, stochastic context-free grammars are some of the major examples. -
Question:
What is the usefulness of this book?
Answer: The theory achieved in the book will help in accurate estimation techniques in the presence of singularities.
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Features & Benefits
- Algebraic geometry can now be used in statistical learning theory
- The book focuses on singular models/machines
- Major examples of such models include mixture models, neural networks, HMMs, Bayesian networks etc.
- The theory lays the groundwork for accurate estimation in the presence of singularities.