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Scripture Scripture is a method for transcriptome reconstruction that relies solely on RNA-Seq reads and an assembled genome to build a transcriptome ab initio. The statistical methods to estimate read coverage significance are also applicable to other sequencing data. Scripture also has modules for ChIP-Seq peak calling.
Different from linear dimensionality reduction methods such as principal component analysis (PCA), diffusion maps are part of the family of nonlinear dimensionality reduction methods which focus on discovering the underlying manifold that the data has been sampled from. By integrating local similarities at different scales, diffusion maps give ...
The Marsaglia polar method [1] is a pseudo-random number sampling method for generating a pair of independent standard normal random variables. [ 2 ] Standard normal random variables are frequently used in computer science , computational statistics , and in particular, in applications of the Monte Carlo method .
In the simplest cases, normalization of ratings means adjusting values measured on different scales to a notionally common scale, often prior to averaging. In more complicated cases, normalization may refer to more sophisticated adjustments where the intention is to bring the entire probability distributions of adjusted values into alignment.
A matrix normal form or matrix canonical form describes the transformation of a matrix to another with special properties. Pages in category "Matrix normal forms" The following 10 pages are in this category, out of 10 total.
This method was first proposed by Jeffrey P. Buzen in his 1971 PhD dissertation [1] and subsequently published in a refereed journal in 1973. [2] Computing G(N) is required to compute the stationary probability distribution of a closed queueing network. [3] Performing a naïve computation of the normalizing constant requires enumeration of all ...
The GNM normal modes are found by diagonalization of the Kirchhoff matrix, Γ = UΛU T. Here, U is a unitary matrix, U T = U −1, of the eigenvectors u i of Γ and Λ is the diagonal matrix of eigenvalues λ i. The frequency and shape of a mode is represented by its eigenvalue and eigenvector, respectively.
In computational mathematics, a matrix-free method is an algorithm for solving a linear system of equations or an eigenvalue problem that does not store the coefficient matrix explicitly, but accesses the matrix by evaluating matrix-vector products. [1] Such methods can be preferable when the matrix is so big that storing and manipulating it ...