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Banks, H.T.; Rubio, D.; Saintier, N.; Troparevsky, M.I.; Kang W.; Zhang Q.; Fahroo F. "Optimal design techniques for distributed parameter systems" (2013) SIAM Conference on Control and Its Applications 2013:83-90
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Abstract:

A wide number of inverse problems consist in selecting best parameter values of a given mathematical model based fits to measured data. These are usually formulated as optimization problems and the accuracy of their solutions depends not only on the chosen optimization scheme but also on the given data. The problem of collecting data in the "best way" in order to assure a statistically efficient estimate of the parameter is known as Optimal Design. In this work we consider the problem of finding optimal locations for source identification in the 3D unit sphere from data on its boundary. We apply three different optimal design criteria to this 3D problem: the Incremental Generalized Sensitivity Function (IGSF), the classical D-optimal criterion and the SE-criterion recently introduced in [3]. The estimation of the parameters is then obtained by means of the Ordinary Least Square procedure on the resulting optimal observation points and compared to that for a uniform observation mesh. In order to analyze the performance of each strategy, the data are numerically simulated and the estimated values are compared with the values used for simulation. © Copyright SIAM.

Registro:

Documento: Conferencia
Título:Optimal design techniques for distributed parameter systems
Autor:Banks, H.T.; Rubio, D.; Saintier, N.; Troparevsky, M.I.; Kang W.; Zhang Q.; Fahroo F.
Filiación:Center for Research in Scientific Computation, NCSU, United States
Centra de Matemática Aplicada, UNSAM, Argentina
Instituto de Ciencias, UNGS, Argentina
Dep. de Matemática, FI-UBA, Argentina
Palabras clave:Estimation; Optimal systems; Optimization; Distributed parameter systems; Optimal locations; Optimal observation; Optimization problems; Optimization scheme; Ordinary least squares; Sensitivity functions; Source identification; Inverse problems
Año:2013
Página de inicio:83
Página de fin:90
Título revista:SIAM Conference on Control and Its Applications 2013
Título revista abreviado:SIAM Conf. Control Appl.
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_97815108_v_n_p83_Banks

Referencias:

  • Banks, H.T., Dediu, S., Ernstberger, S.L., Sensitivity functions and their rises in inverse problems (2007) J. Inverse and Ill-posed Problems, 15, pp. 683-708
  • Banks, H.T., Dediu, S., Ernstberger, S.L., Kappel, F., A new optimal approach to optimal design problem (2010) J. Inverse and Ill-posed Problems, 18, pp. 25-83
  • Banks, H.T., Holm, K., Kappel, F., Comparison of optimal design methods in inverse problems (2011) Inverse Probl., 27 (7). , 1, 075002
  • Banks, H.T., Hu, S., Thompson, W.C., Modeling and Inverse Problems in the Presence of Uncertainty, , CRC Press, Boca Raton, FL., to appear
  • Banks, H.T., Rehm, K.L., (2012) Experimental Design for Vector Output Systems, , CRSC-TR12-11, N. C. State University, Raleigh, NC, April
  • Banks, H.T., Rehm, K.L., Experimental design for distributed parameter vector systems (2012) Applied Mathematics Letters, 26 (2013), pp. 10-14. , CRSC-TR12-17, N. C. State University, Raleigh, NC, August
  • Banks, H.T., Rubio, D., Saintier, N., Troparevsky, M.I., (2013) Optimal Design Techniques for Distributed Parameter Systems, , CRSC-TR13-01, N. C. State University, Raleigh, NC, January
  • Burns, J.A., Rubio, D., Troparevsky, M.I., Sensitivity analysis for an inverse problem in bioengineering (2006) ICNPAA, Mathematical Problems in Engineering and Aerospace Sciences, Budapest University of Technology and Economics, , Hungary
  • De Munck, J.C., Huizenga, H., Waldrop, L.J., Heethaar, R.M., Estimating stationary dipoles from MEG/EEG data contaminated with spatially and temporal correlated background noise (2002) IEEE Trans. on Signal Processing, 50 (7), pp. 1565-1572
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  • Troparevsky, M.I., Rubio, D., Saintier, N., Sensitivity analysis for the EEG forward problem (2010) Frontiers in Computational Neuroscience, 138, pp. 1-6. , 4A4 -

Citas:

---------- APA ----------
Banks, H.T., Rubio, D., Saintier, N., Troparevsky, M.I., Kang W., Zhang Q. & Fahroo F. (2013) . Optimal design techniques for distributed parameter systems. SIAM Conference on Control and Its Applications 2013, 83-90.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_97815108_v_n_p83_Banks [ ]
---------- CHICAGO ----------
Banks, H.T., Rubio, D., Saintier, N., Troparevsky, M.I., Kang W., Zhang Q., et al. "Optimal design techniques for distributed parameter systems" . SIAM Conference on Control and Its Applications 2013 (2013) : 83-90.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_97815108_v_n_p83_Banks [ ]
---------- MLA ----------
Banks, H.T., Rubio, D., Saintier, N., Troparevsky, M.I., Kang W., Zhang Q., et al. "Optimal design techniques for distributed parameter systems" . SIAM Conference on Control and Its Applications 2013, 2013, pp. 83-90.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_97815108_v_n_p83_Banks [ ]
---------- VANCOUVER ----------
Banks, H.T., Rubio, D., Saintier, N., Troparevsky, M.I., Kang W., Zhang Q., et al. Optimal design techniques for distributed parameter systems. SIAM Conf. Control Appl. 2013:83-90.
Available from: https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_97815108_v_n_p83_Banks [ ]