Efficient parameter-estimating algorithms for symmetry-motivated models: Econometrics and beyond

© 2018, Springer International Publishing AG. It is known that symmetry ideas can explain the empirical success of many non-linear models. This explanation makes these models theoretically justified and thus, more reliable. However, the models remain non-linear and thus, identification or the model’...

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Bibliographic Details
Main Authors: Vladik Kreinovich, Anh H. Ly, Olga Kosheleva, Songsak Sriboonchitta
Format: Book Series
Published: 2018
Online Access:https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85038827524&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/43923
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Institution: Chiang Mai University
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Summary:© 2018, Springer International Publishing AG. It is known that symmetry ideas can explain the empirical success of many non-linear models. This explanation makes these models theoretically justified and thus, more reliable. However, the models remain non-linear and thus, identification or the model’s parameters based on the observations remains a computationally expensive nonlinear optimization problem. In this paper, we show that symmetry ideas can not only help to select and justify a nonlinear model, they can also help us design computationally efficient almost-linear algorithms for identifying the model’s parameters.