| Analytical and numerical analysis of inverse optimization problems: conditions of uniqueness and computational methods. | |
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MedLine Citation:
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PMID: 21311907 Owner: NLM Status: MEDLINE |
Abstract/OtherAbstract:
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One of the key problems of motor control is the redundancy problem, in particular how the central nervous system (CNS) chooses an action out of infinitely many possible. A promising way to address this question is to assume that the choice is made based on optimization of a certain cost function. A number of cost functions have been proposed in the literature to explain performance in different motor tasks: from force sharing in grasping to path planning in walking. However, the problem of uniqueness of the cost function(s) was not addressed until recently. In this article, we analyze two methods of finding additive cost functions in inverse optimization problems with linear constraints, so-called linear-additive inverse optimization problems. These methods are based on the Uniqueness Theorem for inverse optimization problems that we proved recently (Terekhov et al., J Math Biol 61(3):423-453, 2010). Using synthetic data, we show that both methods allow for determining the cost function. We analyze the influence of noise on the both methods. Finally, we show how a violation of the conditions of the Uniqueness Theorem may lead to incorrect solutions of the inverse optimization problem. |
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Authors:
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Alexander V Terekhov; Vladimir M Zatsiorsky |
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Publication Detail:
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Type: Comparative Study; Journal Article; Research Support, N.I.H., Extramural Date: 2011-02-11 |
Journal Detail:
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Title: Biological cybernetics Volume: 104 ISSN: 1432-0770 ISO Abbreviation: Biol Cybern Publication Date: 2011 Feb |
Date Detail:
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Created Date: 2011-03-01 Completed Date: 2011-06-21 Revised Date: 2012-02-13 |
Medline Journal Info:
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Nlm Unique ID: 7502533 Medline TA: Biol Cybern Country: Germany |
Other Details:
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Languages: eng Pagination: 75-93 Citation Subset: IM |
Affiliation:
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Institut des Systèmes Intelligents et de Robotique, Université Pierre et Marie Curie-Paris, CNRS UMR, France. avterekhov@gmail.com |
Export Citation:
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| MeSH Terms | |
Descriptor/Qualifier:
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Algorithms Biomechanics Cybernetics Feedback, Sensory / physiology Hand Strength / physiology Humans Models, Biological* Psychomotor Performance / physiology* Walking / physiology |
| Grant Support | |
ID/Acronym/Agency:
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AG-018751/AG/NIA NIH HHS; AR-048563/AR/NIAMS NIH HHS; NS-035032/NS/NINDS NIH HHS; R01 AR048563-07/AR/NIAMS NIH HHS |
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