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Analysis of the mean squared derivative cost function
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Duong, Manh Hong and Tran, Minh Hoang (2017) Analysis of the mean squared derivative cost function. Mathematical Methods in the Applied Sciences, 40 (14). pp. 5222-5240. doi:10.1002/mma.4382
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Official URL: https://doi.org/10.1002/mma.4382
Abstract
In this paper, we investigate the mean squared derivative cost functions that arise in various applications such as in motor control, biometrics and optimal transport theory. We provide qualitative properties, explicit analytical formulas and computational algorithms for the cost functions. We also perform numerical simulations to illustrate the analytical results. In addition, as a by-product of our analysis, we obtain an explicit formula for the inverse of a Wronskian matrix that is of independent interest in linear algebra and differential equations theory.
| Item Type: | Journal Article | ||||||||
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| Subjects: | Q Science > QA Mathematics T Technology > TA Engineering (General). Civil engineering (General) |
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| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||
| Library of Congress Subject Headings (LCSH): | Engineering mathematics, Mathematics, Technology--Mathematical models | ||||||||
| Journal or Publication Title: | Mathematical Methods in the Applied Sciences | ||||||||
| Publisher: | John Wiley & Sons Ltd. | ||||||||
| ISSN: | 0170-4214 | ||||||||
| Official Date: | 30 September 2017 | ||||||||
| Dates: |
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| Volume: | 40 | ||||||||
| Number: | 14 | ||||||||
| Page Range: | pp. 5222-5240 | ||||||||
| DOI: | 10.1002/mma.4382 | ||||||||
| Status: | Peer Reviewed | ||||||||
| Publication Status: | Published | ||||||||
| Access rights to Published version: | Restricted or Subscription Access | ||||||||
| Funder: | European Research Council (ERC) | ||||||||
| Grant number: | 335120 | ||||||||
| Open Access Version: |
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