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Algorithmic Aspects of Analysis, Prediction, and Control in Science and Engineering [electronic resource] : An Approach Based on Symmetry and Similarity / by Jaime Nava, Vladik Kreinovich.

By: Nava, Jaime [author.].
Contributor(s): Kreinovich, Vladik [author.] | SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Studies in Systems, Decision and Control: 14Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2015Description: VIII, 155 p. 8 illus. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783662449554.Subject(s): Engineering | Artificial intelligence | Computational intelligence | Control engineering | Engineering | Computational Intelligence | Artificial Intelligence (incl. Robotics) | ControlAdditional physical formats: Printed edition:: No titleDDC classification: 006.3 Online resources: Click here to access online
Contents:
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.
In: Springer eBooksSummary: 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.
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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.

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.

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