General L1-norm Support Vector Machine For Feature Selection
It has been shown in that the traditional L1-norm SVM proposed by Bradley and Mangasarian in can be generalized to a general L1-norm SVM (GL1-SVM).
Moreover, it has been proved that solving the new proposed optimization problem (GL1-SVM) gives smaller error penalty and enlarges the margin between two support vector hyper-planes, thus possibly gives better generalization capability of SVM than solving the traditional L1-norm SVM.
GL1-SVM may also be seen a special case of some generic feature selectors.
Read more about this topic: Feature Selection
Famous quotes containing the words general, support, machine, feature and/or selection:
“In communist society, where nobody has one exclusive sphere of activity but each can become accomplished in any branch he wishes, society regulates the general production and thus makes it possible for me to do one thing today and another tomorrow, to hunt in the morning, fish in the afternoon, rear cattle in the evening, criticize after dinner, just as I have a mind, without ever becoming hunter, fisherman, shepherd or critic.”
—Karl Marx (18181883)
“A government which robs Peter to pay Paul can always depend on the support of Paul.”
—George Bernard Shaw (18561950)
“But a man must keep an eye on his servants, if he would not have them rule him. Man is a shrewd inventor, and is ever taking the hint of a new machine from his own structure, adapting some secret of his own anatomy in iron, wood, and leather, to some required function in the work of the world. But it is found that the machine unmans the user. What he gains in making cloth, he loses in general power.”
—Ralph Waldo Emerson (18031882)
“Columbus stood in his age as the pioneer of progress and enlightenment. The system of universal education is in our age the most prominent and salutary feature of the spirit of enlightenment, and it is peculiarly appropriate that the schools be made by the people the center of the days demonstration. Let the national flag float over every schoolhouse in the country and the exercises be such as shall impress upon our youth the patriotic duties of American citizenship.”
—Benjamin Harrison (18331901)
“Every writer is necessarily a criticthat is, each sentence is a skeleton accompanied by enormous activity of rejection; and each selection is governed by general principles concerning truth, force, beauty, and so on.... The critic that is in every fabulist is like the icebergnine-tenths of him is under water.”
—Thornton Wilder (18971975)