Mathematical Methods in Artificial Intelligence

ISBN-13: 9780818672002 / Angielski / Miękka / 1996 / 668 str.

Edward A. Bender

Opis

Mathematical Methods in Artificial Intelligence introduces the student to the important mathematical foundations and tools in AI and describes their applications to the design of AI algorithms. This useful text presents an introductory AI course based on the most important mathematics and its applications. It focuses on important topics that are proven useful in AI and involve the most broadly applicable mathematics.

The book explores AI from three different viewpoints: goals, methods or tools, and achievements and failures. Its goals of reasoning, planning, learning, or language understanding and use are centered around the expert system idea. The tools of AI are presented in terms of what can be incorporated in the data structures. The book looks into the concepts and tools of limited structure, mathematical logic, logic-like representation, numerical information, and nonsymbolic structures.

The text emphasizes the main mathematical tools for representing and manipulating knowledge symbolically. These are various forms of logic for qualitative knowledge, and probability and related concepts for quantitative knowledge. The main tools for manipulating knowledge nonsymbolically, as neural nets, are optimization methods and statistics. This material is covered in the text by topics such as trees and search, classical mathematical logic, and uncertainty and reasoning. A solutions diskette is available, please call for more information.

Spis treści

Preface.

Dear Student.

1. First Things.

2. Trees and Search.

3. The Concepts of Predicate Logic.

4. The Theory of Resolution.

5. Let′s Get Real.

6. Nonmonotonic Reasoning.

7. Probability Theory.

8. Bayesian Networks.

9. Fuzziness and Belief Theory.

10. What Is It?

11. Neural Networks and Minimization.

12. Probability, Statistics, and Information.

13. Decision Trees, Neural Nets, and Search.

14. Last Things.

Subject Index.

Author Index.

Blurb

Introduces the students to the important mathematical foundations and tools in AI and describes their application to the design of AI algorithms. The book presents an introductory AI course based on the most important mathematics applications, while focusing on important topics that are proven useful in AI and involve the most broadly applicable mathematics.

The book explores AI from three different viewpoints: goals, methods or tools, and achievements and failures. Its goals of reasoning, planning, learning, or language understanding and use are centered around the expert system idea. The tools of AI are presented in terms of what can be incorporated in the data structures. The book examines the concepts and tools of limited structure, mathematical logic, logic–like representation, numerical information, and nonsymbolic structures.

Many introductory texts give the impression that AI is just a collection of heuristic ideas, data structures, and clever hacks. Fortunately, AI researchers use mathematics and are developing new tools. Since much of the mathematics used in AI is not part of standard undergraduate curriculum, the student will be learning mathematics and seeing how it is used in AI at the same time. A diskette containing solutions to many of the exercises is available for instructors.