Advanced search
Publication Cover
International Journal of Computer Mathematics Volume 80, 2003 - Issue 3
Submit an article Journal homepage
49
Views
12
CrossRef citations to date
0
Altmetric
Original Articles

A Comparative Study Of Global Optimization Approaches To Meg Source Localization

Tianzi Jiang National Laboratory of Pattern Recognition, Institute of Automation, Chinese Academy of Sciences, PO Box 2728, Beijing, 100080, P.R. China
,
An Luo National Laboratory of Pattern Recognition, Institute of Automation, Chinese Academy of Sciences, PO Box 2728, Beijing, 100080, P.R. China
,
Xiaodong Li National Laboratory of Pattern Recognition, Institute of Automation, Chinese Academy of Sciences, PO Box 2728, Beijing, 100080, P.R. China
&
F. Kruggel Max-Planck Institute of Cognitive Neuroscience, Stephanstrasse 1, Leipzig, D-04103, Germany
Pages 305-324 | Published online: 15 Sep 2010

  • Aaits , E. H. L. and Korst , J. H. M . 1989 . Simulated Annealing and Boltzmanm Machines , John Wiley and Sons .
  • Achim , A. , Richer , F. and Saint-Hilaire , J. 1988 . Methods for separating temporally overlapping sources of neuroelectric data . Brain Topograph , 1 (1} ) : 22 – 28 .
  • Gerson , J. , Cardenas , J. V A. and Fein , G. 1994 . Equivalent dipole parameter estimation using simulated annealing . Electroenceph. Clin. Neurophysiol , 92 : 161 – 168 .
  • Gloub , G. H. and van Loan , C. F. 1989 . Matrix Computations , 2nd ed. , Baltimore, MD : The Johns Hopkins University Press .
  • Gloub , G. H. and Pereyra , V . 1973 . The differentiation of pseudo-inverses and nonlinear least squares problems whose variable separate . SIAM J. Numerical Anal , 10 : 413 – 432 .
  • Glover , F. 1993 . Tabu Search, in Modern Heuristic Techniques for Combinatorial Problems , Edited by: Reeves , E. R. John Wiley & Sons, Inc. .
  • Goldberg , D. E. 1989 . Genetic Algorithms in Search, Optimization, and Machine Learning , Reading, Mass. : Addison-Wesley .
  • Guttman , I. and Pereyra , V . 1973 . Least squares estimation for a class of nonlinear models . Technometrics , 15 : 209 – 218 .
  • Hämäläinen , M , Hari , R. , Ilmoniemi , P. J. , Uutila , J. K. and Lounasmaa , O. V. 1993 . Magnetoencephalography theory, instrumentation, and applications to noninvasive studies of the working human brain . Rev. Mod. Phys. , 65 (2} ) : 413 – 497 .
  • Haneishi , H. , Ohyama , N. , Sekihara , K. and Honda , T. 1994 . Multiple current dipole estimation using simulated annealing . IEEE Trans. Biomed. Eng. , 41 (11} ) : 1004 – 1009 .
  • Ignizio , J. P. 1976 . Goal Programming and Extensions , Lexington Books .
  • Jiang , T. 1999 . A tabu search approach to optimal structuring element extraction for MST-based shapes description . InternationalJ. Computer Mathematics , 71 (3-4} ) : 437 – 445 .
  • Jiang , T. 1999 . Geometric primitive extraction by the combination of Tabu search and subpixel accuracy . J. Computer Science and Technology , 14 (1} ) : 74 – 80 .
  • Khosla , D. , Singh , M. and Don , M . 1997 . Spatio-temporal EEG source localization using simulated annealing . IEEE Trans. Biomed. Eng. , 44 (11} ) : 1075 – 1091 .
  • Kirkpatrick , S. , Gelatt , C. D. J. and Vecchi , M. P. 1983 . Optimization by simulated annealing . Science , 220 (4598} ) : 671 – 680 .
  • Li , X. , Jiang , T. and Evans , D. J. 2000 . Medical image reconstruction using a multi-objective genetic local search algorithm . International J. Computer Math. , 74 (3} ) : 301 – 314 .
  • Metropolis , N. , Rosenbluth , A. , Rosenbluth , M , Teller , M and Teller , E. 1953 . Equations of state calculations by fast computing machines . J. Chem. Phys. , 21 : 1087 – 1092 .
  • Marquardt , D. W. 1963 . An algorithm for least-squares estimation of nonlinear parameters . J. Soc. lndust. Appl. Math. , 11 : 431 – 441 .
  • Mosher , J. , Leahy , R. and Lewis , P. 1992 . Multiple dipole modeling and localization from spatio-temporal MEG data . IEEE Trans. Biomed. Eng. , 39 : 541 – 557 .
  • Neider , J. and Mead , R. 1965 . A simplex method for function minimization . Comput. J. , 4 : 308 – 313 .
  • Sarvas , J. 1987 . Basic mathematical and electromagnetic concepts of the biomagnetic inverse problem . Phys. Med. Biol. , 32 (1} ) : 11 – 12 .
  • Scherg , M. 1989 . “ Fundamentals of dipole source potential analysis. ” . In Auditory Evoked Magnetic Fields and Potentials , Edited by: Hoke , M. Vol. 6. , Basel, Karger : Adv Audiol .
  • Sekihara , K. , Haneishi , H. and Ohyama , N. 1992 . Details of simulated annealing algorithm to estimate parameters of multiple current dipoles using biomagnetic data . IEEE. Trans. Med. lmag. , 11 (2} ) : 293 – 299 .
  • Sekihara , K. and Ohyama , N. 1990 . Parameter estimation for in vivo magnetic resonance spectroscopy (MRS} using simulated annealing . Magn. Reson. Med. , 13 : 332 – 339 .
  • Uutela , K. , Hämäläinen , M. and Salmelin , R. 1998 . Global optimization in the localization of neuromagnetic sources . IEEE Trans. Biomed. Eng. , 45 (6} ) : 716 – 723 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.