Weldon A. Lodwick - Böcker

It subsequently describes artificial neural networks as a subclass of artificial adaptive systems, and reports on the backpropagation algorithm, while also identifying an important connection between supervised and unsupervised artificial neural networks.

This book presents the theory and methods of flexible and generalized uncertainty optimization.

This book presents the theory and methods of flexible and generalized uncertainty optimization.

This book introduces the Topological Weighed Centroid approach and describes some applications in the study of the dynamics of various spatial phenomena with a special emphasis on the spatial analysis of the relationship, influence, and dynamics of geographical phenomena.

This book introduces the Topological Weighed Centroid approach and describes some applications in the study of the dynamics of various spatial phenomena with a special emphasis on the spatial analysis of the relationship, influence, and dynamics of geographical phenomena.

On one hand, the book equips readers with a fundamental understanding of the theoretical underpinnings of fuzzy sets and fuzzy dynamical systems.

On one hand, the book equips readers with a fundamental understanding of the theoretical underpinnings of fuzzy sets and fuzzy dynamical systems.

One of the primary objectives of this book is to highlight the profound difference between two types of AI that pursue distinct goals: emulative AI, which seeks to build machines whose output is similar to, or even superior to, that of the human brain, and investigative AI, whose purpose is to make invisible information within data visible by uncovering the laws through which individual behaviors self-organize into collective behaviors. The former is better known, as it serves as a useful tool for automating human labor and generating market profits; the latter is less widely recognized but is more scientifically oriented towards saving lives (in the medical field), explaining otherwise inexplicable phenomena (in the geophysical field), and enhancing our understanding of the material and abstract world. Both are valuable yet distinct: the emulative approach generates immediate profits and creates illusions of human-like power, while the investigative approach enhances fundamental scientific research and will yield its greatest benefits over time. The investigative approach presented in this volume seeks to rebuild the bridge between humanity and nature.

This book is a pedagogical presentation aimed at advanced undergraduate students, beginning graduate students and professionals who are looking for an introductory text to the field of Distance Geometry, and some of its applications. This versions profits from feedback acquired at undergraduate/graduate courses in seminars and a number of workshops.

This book offers an introduction to artificial adaptive systems and a general model of the relationships between the data and algorithms used to analyze them. It subsequently describes artificial neural networks as a subclass of artificial adaptive systems, and reports on the backpropagation algorithm, while also identifying an important connection between supervised and unsupervised artificial neural networks. The book’s primary focus is on the auto contractive map, an unsupervised artificial neural network employing a fixed point method versus traditional energy minimization. This is a powerful tool for understanding, associating and transforming data, as demonstrated in the numerous examples presented here. A supervised version of the auto contracting map is also introduced as an outstanding method for recognizing digits and defects. In closing, the book walks the readers through the theory and examples of how the auto contracting map can be used in conjunction with another artificial neural network, the “spin-net,” as a dynamic form of auto-associative memory.

Optimization is an extremely important area in science and technology which provides powerful and useful tools and techniques for the formulation and solution of a multitude of problems in which we wish, or need, to to find a best possible option or solution. The volume is divided into a coupe of parts which present various aspects of fuzzy optimization, some related more general issues, and applications.