The beginning of the age of artificial intelligence and machine learning has created new challenges and opportunities for data analysts, statisticians, mathematicians, econometricians, computer scientists and many others. At the root of these techniques are algorithms and methods for clustering and
Mathematical Classification and Clustering
β Scribed by Boris Mirkin (auth.)
- Publisher
- Springer US
- Year
- 1996
- Tongue
- English
- Leaves
- 439
- Series
- Nonconvex Optimization and Its Applications 11
- Edition
- 1
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Synopsis
I am very happy to have this opportunity to present the work of Boris Mirkin, a distinguished Russian scholar in the areas of data analysis and decision making methodologies. The monograph is devoted entirely to clustering, a discipline dispersed through many theoretical and application areas, from mathematical statistics and combinaΒ torial optimization to biology, sociology and organizational structures. It compiles an immense amount of research done to date, including many original Russian deΒ velopments never presented to the international community before (for instance, cluster-by-cluster versions of the K-Means method in Chapter 4 or uniform parΒ titioning in Chapter 5). The author's approach, approximation clustering, allows him both to systematize a great part of the discipline and to develop many inΒ novative methods in the framework of optimization problems. The optimization methods considered are proved to be meaningful in the contexts of data analysis and clustering. The material presented in this book is quite interesting and stimulating in paradigms, clustering and optimization. On the other hand, it has a substantial application appeal. The book will be useful both to specialists and students in the fields of data analysis and clustering as well as in biology, psychology, economics, marketing research, artificial intelligence, and other scientific disciplines. Panos Pardalos, Series Editor.
β¦ Table of Contents
Front Matter....Pages i-xv
Classes and Clusters....Pages 1-57
Geometry of Data Sets....Pages 59-107
Clustering Algorithms: a Review....Pages 109-168
Single Cluster Clustering....Pages 169-227
Partition: Square Data Table....Pages 229-284
Partition: Rectangular Data Table....Pages 285-327
Hierarchy as a Clustering Structure....Pages 329-397
Back Matter....Pages 399-429
β¦ Subjects
Statistics, general; Artificial Intelligence (incl. Robotics); Operations Research/Decision Theory; Optimization
π SIMILAR VOLUMES
<p>The beginning of the age of artificial intelligence and machine learning has created new challenges and opportunities for data analysts, statisticians, mathematicians, econometricians, computer scientists and many others. At the root of these techniques are algorithms and methods for clustering a
<p>The beginning of the age of artificial intelligence and machine learning has created new challenges and opportunities for data analysts, statisticians, mathematicians, econometricians, computer scientists and many others. At the root of these techniques are algorithms and methods for clustering a
<p><P>Knowledge Discovery today is a significant study and research area. In finding answers to many research questions in this area, the ultimate hope is that knowledge can be extracted from various forms of data around us. This book covers recent advances in unsupervised and supervised data analys
The Definitive Resource on Text Mining Theory and Applications from Foremost Researchers in the Field Giving a broad perspective of the field from numerous vantage points, Text Mining: Classification, Clustering, and Applications focuses on statistical methods for text mining and analysis. It exami