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Here, we computed the partial correlations using the shrinkage estimation method, a form of regularized estimator of the covariance matrix and its inverse (Schafer and Strimmer, 2005 ).
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Many problems are easily expressed in graph form, including cone programs and a wide variety of regularized loss minimization problems from statistics, like logistic regression, the support vector machine, and the lasso.
We provide a M-estimator to estimate principal component subspaces which takes the form of a regularized eigenvalue problem.
The framework is expressed in the form of a regularized fitting problem in a Reproducing Kernel Hilbert Space.
This leads to state the estimation problem in the form of a regularized least-squares one with uncertain data.
Empirical and theoretical results clearly indicate that the DNN training process itself implicitly implements a form of self-regularization, implicitly sculpting a more regularized energy or penalty landscape.
The other is a redundancy measure in the form of a new regularized version of the coefficient of multiple correlation r ~ ∗, which can be interpreted as a regularized coefficient of determination in linear regression.
Parameters for the algorithms were fitted by ridge regression, a regularized form of linear regression, using recorded neural and behavioral (joystick position and velocity) data.
To overcome the rank deficiency issue we propose using a regularized form of logistic regression [ 19].
The Pathifier algorithm was recently supplemented with Cox regression and a regularized form of least-squares regression (the L-LASSO -or L-norm least absolute shrinkage and selection operator method) to achieve more accurate prognosis prediction.
When the sample size was small, a regularized form of the test was used to guard against false positives that may appear due to under-estimated gene-specific variance.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com