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Next, a constrained gradient descent (GD) algorithm is deployed to solve the simplified formulation (Problem 2) using the convex solution as a starting point.
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The solution of the problem obtained using the convex approximations is also solution for the original problem (13), i.e., satisfies the Karush-Kuhn-Tucker (KKT) conditions of the original problem [27].
The same scenarios are also investigated with the optimal solution using the convex optimization toolbox CVX in MATLAB [29].
Optimization was carried out using the convex optimization package CVXOPT version 1.1.2 [28].
The AUC is calculated using the convex hull of the ROC curve (Fawcett, 2006).
CNVs from the exome data were denoted using the CoNVex program.
Use the convex spline tool to press the screen into the channel in the frame.
Therefore, in order to allow many-to-many assignments of proteins, we could use the solution of the convex relaxation.
To determine the home/foraging range size, we used the minimum convex polygon method [53].
Use the solution as eardrops.
Use the solution to clean the glass.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com