The loss value of multilinear regression
Helmut Kahl
TL;DR
This paper presents determinant formulas related to the loss value and coefficients in multilinear regression, providing mathematical insights into the structure of these regression models.
Contribution
It introduces determinant formulas for the loss value and regression coefficients in multilinear regression, advancing theoretical understanding.
Findings
Determinant formulas for the loss value
Mathematical characterization of regression coefficients
Insights into positive semidefinite hermitian matrices
Abstract
Determinant formulas are presented for: a certain positive semidefinite, hermitian matrix; the loss value of multilinear regression; the multiple linear regression coefficient.
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Taxonomy
TopicsMatrix Theory and Algorithms · Advanced Optimization Algorithms Research