Preface; 1. Introduction; 2. Singularity theory; 3. Algebraic geometry; 4. Zeta functions and singular integral; 5. Empirical processes; 6. Singular learning theory; 7. Singular learning machines; 8. Singular information science; Bibliography; Index.
Sure to be influential, this book lays the foundations for the use of algebraic geometry in statistical learning theory.
Sumio Watanabe is a Professor in the Precision and Intelligence Laboratory at the Tokyo Institute of Technology.
"Overall, the many insightful remarks and simple direct language make the book a pleasure to read." Shaowei Lin, Mathematical Reviews
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