Geometry of Knowledge for Intelligent Systems

• Κύριος συγγραφέας: Resconi, Germano (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013.
• Σειρά: Studies in Computational Intelligence, 407
• Θέματα: Engineering.; Artificial intelligence.; Applied mathematics.; Engineering mathematics.; Appl.Mathematics/Computational Methods of Engineering.; Artificial Intelligence (incl. Robotics).; Applications of Mathematics.

 The book is on the geometry of agent knowledge. The important concept studied in this book is the Field and its Geometric Representation. To develop a geometric image of the gravity , Einstein used Tensor Calculus but this is very different from the knowledge instruments used now, as for instance techniques of data mining , neural networks , formal concept analysis ,quantum computer and other topics. The aim of this book is to rebuild the tensor calculus in order to give a geometric representation of agent knowledge. By using a new geometry of knowledge we can unify all the topics that have been studied in recent years to create a bridge between the geometric representation of the physical phenomena and the geometric representation of the individual and subjective knowledge of the agents. 

 An Introduction to the Geometry of Agent Knowledge -- Tensor Calculus and Formal Concepts -- Geometry and Agent Coherence -- Field Theory for Knowledge -- Brain Neurodynamic and Tensor Calculus -- Electrical Circuit as constrain in the multidimensional space of the voltages or currents -- Superposition and Geometry for Evidence and Quantum Mechanics in the Tensor Calculus -- The Logic of Uncertainty and geometry of the worlds.