Search results
Results From The WOW.Com Content Network
ggplot2 is an open-source data visualization package for the statistical programming language R.Created by Hadley Wickham in 2005, ggplot2 is an implementation of Leland Wilkinson's Grammar of Graphics—a general scheme for data visualization which breaks up graphs into semantic components such as scales and layers. ggplot2 can serve as a replacement for the base graphics in R and contains a ...
Many boosting algorithms rely on the notion of a margin to assign weight to samples. If a convex loss is utilized (as in AdaBoost or LogitBoost, for instance) then a sample with a higher margin will receive less (or equal) weight than a sample with a lower margin. This leads the boosting algorithm to focus weight on low-margin samples.
The values of the sums converge as the subintervals halve from top-left to bottom-right. In mathematics , a Riemann sum is a certain kind of approximation of an integral by a finite sum. It is named after nineteenth century German mathematician Bernhard Riemann .
These are called margin-based loss functions. Choosing a margin-based loss function amounts to choosing ϕ {\displaystyle \phi } . Selection of a loss function within this framework impacts the optimal f ϕ ∗ {\displaystyle f_{\phi }^{*}} which minimizes the expected risk, see empirical risk minimization .
Flush right is often used when formatting tables of data. It is used to align text to the right margin; in this case, the left ends will be unequal. The term "right alignment" is frequently used when the right side of text is aligned along a visible or invisible vertical line which may or may not coincide with the right margin.
In mathematics, Legendre's formula gives an expression for the exponent of the largest power of a prime p that divides the factorial n!. It is named after Adrien-Marie Legendre . It is also sometimes known as de Polignac's formula , after Alphonse de Polignac .
Margins also play an important role in digital word-processing and can be changed using the page setup menu. The default margins for Microsoft Word from version 2007 onward have been 1 inch (25.4 mm) all around; in Word 2003, the default top and bottom margins were 1 inch (25.4 mm), but 1.25 inches (31.7 mm) were given at the left and the right.
In 2014, Ignace Bogaert presented explicit asymptotic formulas for the Gauss–Legendre quadrature weights and nodes, which are accurate to within double-precision machine epsilon for any choice of n ≥ 21. [2] This allows for computation of nodes and weights for values of n exceeding one billion. [3]