Background: The monoclonal antibody, C595, against breast cancer cell line was conjugated with cyclic anhydride gadolinium-diethylenetriaminepenta-acetic acid (Gd-cDTPAa) to produce Gd-DTPA-C595 and used as specific breast cancer cell line (MCF-7) contrast agents in magnetic resonance imaging (MRI).  Methods: After incubation of breast cancer cell line (MCF-7), with different contrast agents (G...

The glmnet package by [1] is an extremely fast implementation of the standard coordinate descent algorithm for solving l1 penalized learning problems. In this paper, we consider a family of coordinate majorization descent algorithms for solving the l1 penalized learning problems by replacing each coordinate descent step with a coordinate-wise majorization descent operation. Numerical experiment...

To minimize the primal support vector machine (SVM) problem, we propose to use iterative majorization. To do so, we propose to use iterative majorization. To allow for nonlinearity of the predictors, we use (non)monotone spline transformations. An advantage over the usual kernel approach in the dual problem is that the variables can be easily interpreted. We illustrate this with an example from...

One of the most popular graph drawing methods is based of achieving graphtheoretic target ditsances. This method was used by Kamada and Kawai [15], who formulated it as an energy optimization problem. Their energy is known in the multidimensional scaling (MDS) community as the stress function. In this work, we show how to draw graphs by stress majorization, adapting a technique known in the MDS...

Zbigniew Puchała, Łukasz Rudnicki, Karol Życzkowski Institute of Theoretical and Applied Informatics, Polish Academy of Sciences, Bałtycka 5, 44-100 Gliwice, Poland Institute of Physics, Jagiellonian University, ul. Reymonta 4, 30-059 Kraków, Poland Center for Theoretical Physics, Polish Academy of Sciences, al. Lotników 32/46, 02-668 Warszawa, Poland Freiburg Insitute for Advanced Studies, Alb...

The adoption of the stress-majorization method from multi-dimensional scaling into graph layout has provided an improved mathematical basis and better convergence properties for so-called “force-directed placement” techniques. In this paper we explore algorithms for augmenting such stress-majorization techniques with simple linear constraints using gradient-projection optimization techniques. O...