A new treatment of the inverse problem of multivariate analysis

被引:14
|
作者
Greensite, F [1 ]
机构
[1] Univ Calif Irvine, Irvine Med Ctr, Dept Radiol Sci, Orange, CA 92868 USA
关键词
D O I
10.1088/0266-5611/18/2/305
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We present a new method for estimation of multivariate and multilinear regression coefficient matrices based on exploitation of previously unrecognized broken symmetries inherent in the problem formulation. The method is superior to standard methods in the sense that it derives from more accurate statistical constructs.
引用
收藏
页码:363 / 379
页数:17
相关论文
共 50 条
  • [21] New technique for phase shift analysis: Multienergy solution of inverse scattering problem
    Cooper, SG
    Kukulin, VI
    Mackintosh, RS
    Kuznetsova, EV
    [J]. PHYSICAL REVIEW C, 1998, 58 (01): : R31 - R35
  • [22] Bayesian analysis of the scatterometer wind retrieval inverse problem:: some new approaches
    Cornford, D
    Csató, L
    Evans, DJ
    Opper, M
    [J]. JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES B-STATISTICAL METHODOLOGY, 2004, 66 : 609 - 626
  • [23] ANALYSIS OF THE SOLUTION OF THE REFRACTION INVERSE PROBLEM
    PAVELYEV, AG
    [J]. RADIOTEKHNIKA I ELEKTRONIKA, 1984, 29 (09): : 1658 - 1667
  • [24] An inverse source problem in potential analysis
    El Badia, A
    Ha-Duong, T
    [J]. INVERSE PROBLEMS, 2000, 16 (03) : 651 - 663
  • [25] SENSITIVITY ANALYSIS AND THE GROUNDWATER INVERSE PROBLEM
    MCELWEE, CD
    [J]. GROUND WATER, 1982, 20 (06) : 723 - 735
  • [26] ANALYSIS OF AN INVERSE PROBLEM ARISING IN PHOTOLITHOGRAPHY
    Rondi, Luca
    Santosa, Fadil
    [J]. MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2012, 22 (05):
  • [27] New hypotheses and tests for the multivariate bioequivalence problem
    Pflüger, R
    Munk, A
    [J]. CLASSIFICATION IN THE INFORMATION AGE, 1999, : 580 - 587
  • [28] A critical analysis of linear inverse solutions to the neuroelectromagnetic inverse problem
    de Peralta-Menendez, RG
    Gonzalez-Andino, SL
    [J]. IEEE TRANSACTIONS ON BIOMEDICAL ENGINEERING, 1998, 45 (04) : 440 - 448
  • [29] Better conditioning the MEG/EEG inverse problem:: The multivariate source prelocalization approach
    Mattout, J
    Daunizea, J
    Pélérini-Issac, M
    Garnero, L
    Benali, H
    [J]. 2004 2ND IEEE INTERNATIONAL SYMPOSIUM ON BIOMEDICAL IMAGING: MACRO TO NANO, VOLS 1 and 2, 2004, : 1361 - 1364
  • [30] A new method of solving the coefficient inverse problem
    Ming-gen CUI
    [J]. Science China Mathematics, 2007, (04) : 561 - 572