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Multivariate regression analysis of structural MRI connectivity matrices in Alzheimer's disease. [PDF]
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Multivariate Multilinear Regression
IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics), 2012Conventional regression methods, such as multivariate linear regression (MLR) and its extension principal component regression (PCR), deal well with the situations that the data are of the form of low-dimensional vector. When the dimension grows higher, it leads to the under sample problem (USP): the dimensionality of the feature space is much higher ...
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Bayesian Multivariate Logistic Regression
Biometrics, 2004SummaryBayesian analyses of multivariate binary or categorical outcomes typically rely on probit or mixed effects logistic regression models that do not have a marginal logistic structure for the individual outcomes. In addition, difficulties arise when simple noninformative priors are chosen for the covariance parameters.
O'Brien, Sean M., Dunson, David B.
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Estimation of Multivariate Regression
Theory of Probability & Its Applications, 2004Summary: Let \((X,Y)\) be a random vector whose first component takes values in a measurable space \(({\mathfrak{X}},{\mathfrak{A}},\mu)\) with measure \(\mu\), and let \(Y\) be a real-valued random variable. Let \(f(x)={\mathbf E}\{Y\mid X=x\} \) be the regression function of \(Y\) on \(X\).
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Multivariate Regression Modeling
Journal of Solar Energy Engineering, 1998An empirical or regression modeling approach is simple to develop and easy to use compared to detailed hourly simulations of energy use in commercial buildings. Therefore, regression models developed from measured energy data are becoming an increasingly popular method for determining retrofit savings or identifying operational and maintenance (O&M)
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