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An inverse problem in science is the process of calculating from a set of observations the causal factors that produced them: for example, calculating an image in X-ray computed tomography, source reconstruction in acoustics, or calculating the density of the Earth from measurements of its gravity field. It is called an inverse problem because it starts with the effects and then calculates the causes. It is the inverse of a forward problem, which starts with the causes and then calculates the effects.
Chemometrics is the science of extracting information from chemical systems by data-driven means. Chemometrics is inherently interdisciplinary, using methods frequently employed in core data-analytic disciplines such as multivariate statistics, applied mathematics, and computer science, in order to address problems in chemistry, biochemistry, medicine, biology and chemical engineering. In this way, it mirrors other interdisciplinary fields, such as psychometrics and econometrics.
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Design optimization is an engineering design methodology using a mathematical formulation of a design problem to support selection of the optimal design among many alternatives. Design optimization involves the following stages:
- Variables: Describe the design alternatives
- Objective: Elected functional combination of variables
- Constraints: Combination of Variables expressed as equalities or inequalities that must be satisfied for any acceptable design alternative
- Feasibility: Values for set of variables that satisfies all constraints and minimizes/maximizes Objective.
Douglas Henry Werner is an American scientist and engineer. He holds the John L. and Genevieve H. McCain Chair Professorship in the Penn State Department of Electrical Engineering and is the director of the Penn State University Computational Electromagnetics and Antennas Research Laboratory. Werner holds 20 patents and has over 1090 publications. He is the author/co-author of 8 books. His h-index and number of citations are recorded on his Google Scholar profile. He is internationally recognized for his expertise in electromagnetics, antenna design, optical metamaterials and metamaterial-enabled devices as well as for the development/application of inverse-design techniques.
References
- ↑ Martins, J. R. R. A.; Ning, A. (2021). Engineering Design Optimization. Cambridge University Press. ISBN 978-1108833417.
- ↑ S. S. Rao, Engineering Optimization: Theory and Practice, Wiley, (2009)
- ↑ X.-S. Yang, Engineering Optimization: An Introduction with Metaheuristic Applications, Wiley, (2010).
- ↑ J. N. Siddall, Optimal Engineering Design, CRC Press, (1982).
- ↑ A.R. Parkinson, R. Balling, and J.D. Hedengren, Optimization Methods for Engineering Design, Brigham Young University, 2013.
- ↑ J.E. Rayas-Sanchez,"Power in simplicity with ASM: tracing the aggressive space mapping algorithm over two decades of development and engineering applications", IEEE Microwave Magazine, vol. 17, no. 4, pp. 64-76, April 2016.
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