Donald E. Ramirez
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View article: Proximity results in convex mixed-integer programming
Proximity results in convex mixed-integer programming Open
We study proximity (resp. integrality gap), that is, the distance (resp. difference) between the optimal solutions (resp. optimal values) of convex integer programs (IP) and the optimal solutions (resp. optimal values) of their continuous …
View article: Generator Subadditive Functions for Mixed-Integer Programs
Generator Subadditive Functions for Mixed-Integer Programs Open
For equality-constrained linear mixed-integer programs (MIP) defined by rational data, it is known that the subadditive dual is a strong dual and that there exists an optimal solution of a particular form, termed generator subadditive func…
View article: Use of Hotelling's T^2: Outlier Diagnostics in Mixtures
Use of Hotelling's T^2: Outlier Diagnostics in Mixtures Open
Given Gaussian observation vectors $[\seqcl{\BY}{n}]$ having a common mean and dispersion matrix, a pervading issue is to identify shifted observations of type $\{\BYi\!\to\!\BYi\!+\!\bdeli\}.$ Conventional usage enjoins Hotelling's $\Tisq…
View article: Mitigating collinearity in linear regression models using ridge, surrogate and raised estimators
Mitigating collinearity in linear regression models using ridge, surrogate and raised estimators Open
Collinearity in the design matrix is a frequent problem in linear regression models, for example, with economic or medical data. Previous standard procedures to mitigate the effects of collinearity include ridge regression and surrogate re…