Algorithmic Aspects of Analysis, Prediction, and Control in Science and Engineering

An Approach Based on Symmetry and Similarity
Softcover Nachdruck of the original 1. Auflage 2015
ISBN: 978-3-662-51159-6
Verlag: Springer

Buch, Englisch, Band 14, 155 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 2584 g

Reihe: Studies in Systems, Decision and Control

This book demonstrates how to describe and analyze a system's behavior and extract the desired prediction and control algorithms from this analysis. A typical prediction is based on observing similar situations in the past, knowing the outcomes of these past situations, and expecting that the future outcome of the current situation will be similar to these past observed outcomes. In mathematical terms, similarity corresponds to symmetry, and similarity of outcomes to invariance.  

This book shows how symmetries can be used in all classes of algorithmic problems of sciences and engineering: from analysis to prediction to control. Applications cover chemistry, geosciences, intelligent control, neural networks, quantum physics, and thermal physics. Specifically, it is shown how the approach based on symmetry and similarity can be used in the analysis of real-life systems, in the algorithms of prediction, and in the algorithms of control.

Zielgruppe

Research

Autoren/Hrsg.

Kreinovich, Vladik

Nava, Jaime

Fachgebiete

• Mathematik | Informatik EDV | Informatik Informatik Künstliche Intelligenz
• Technische Wissenschaften Elektronik | Nachrichtentechnik Nachrichten- und Kommunikationstechnik Regelungstechnik
• Mathematik | Informatik EDV | Informatik Angewandte Informatik Computeranwendungen in Wissenschaft & Technologie
• Mathematik | Informatik EDV | Informatik Programmierung | Softwareentwicklung Algorithmen & Datenstrukturen
• Technische Wissenschaften Technik Allgemein Computeranwendungen in der Technik

Inhaltsverzeichnis

Introduction: Symmetries and Similarities as a Methodology for Algorithmics of Analysis, Prediction, and Control in Science and Engineering.- Algorithmic Aspects of Real-Life Systems Analysis: Approach Based on Symmetry and Simila.- Algorithmic Aspects of Prediction: An Approach Based on Symmetry and Similarity.- Algorithmic Aspects of Control: Approach Based on Symmetry and Similarity.- Possible Ideas for FutureWork.