It is also called a probability matrix, transition matrix, substitution matrix, or Markov matrix. The stochastic matrix was first developed by Andrey Markov...

probability and combinatorics, a doubly stochastic matrix (also called bistochastic matrix) is a square matrix X = ( x i j ) {\displaystyle X=(x_{ij})}...

A Google matrix is a particular stochastic matrix that is used by Google's PageRank algorithm. The matrix represents a graph with edges representing links...

Transition matrix may refer to: Change-of-basis matrix, associated with a change of basis for a vector space. Stochastic matrix, a square matrix used to...

orthogonal matrix Precision matrix — a symmetric n×n matrix, formed by inverting the covariance matrix. Also called the information matrix. Stochastic matrix —...

identity matrix of size n, and 0n,n is the zero matrix of size n×n. Multiplying together stochastic matrices always yields another stochastic matrix, so Q...

Regular matrix may refer to: Regular stochastic matrix, a stochastic matrix such that all the entries of some power of the matrix are positive The opposite...

word stochastic is used to describe other terms and objects in mathematics. Examples include a stochastic matrix, which describes a stochastic process...

An n × n matrix P is doubly stochastic precisely if both P and its transpose PT are stochastic matrices. A stochastic matrix is a square matrix of nonnegative...

Stochastic matrix Suhov & Kelbert 2008, Definition 2.1.1. Asmussen, S. R. (2003). "Markov Jump Processes". Applied Probability and Queues. Stochastic...

dissimilarity between compared sequences. It is an application of a stochastic matrix. Substitution matrices are usually seen in the context of amino acid...

time t realization of the stochastic n × n state transition matrix, Bt is the time t realization of the stochastic n × k matrix of control multipliers,...

move to a different state as specified by the probabilities of a stochastic matrix. An equivalent formulation describes the process as changing state...

and sum up to one. Stochastic matrices are used to define Markov chains with finitely many states. A row of the stochastic matrix gives the probability...

theory, the Laplacian matrix, also called the graph Laplacian, admittance matrix, Kirchhoff matrix or discrete Laplacian, is a matrix representation of a...

{x} )} is the diagonal matrix of vector x {\displaystyle \mathbf {x} } . N {\displaystyle \mathbf {N} } is a row-stochastic matrix. The normalized eigenvector...

as a stochastic kernel or probability kernel) is a map that in the general theory of Markov processes plays the role that the transition matrix does in...

of non-negative matrices, e.g. stochastic matrix; doubly stochastic matrix; symmetric non-negative matrix. Metzler matrix Berman, Abraham; Plemmons, Robert...

Triangular matrix Tridiagonal matrix Block matrix Sparse matrix Hessenberg matrix Hessian matrix Vandermonde matrix Stochastic matrix Toeplitz matrix Circulant...

be described by a stochastic matrix, which lists the probabilities of moving to each state from any individual state. From this matrix, the probability...

elements of the probability vector. Stochastic matrix Dirichlet distribution Jacobs, Konrad (1992), Discrete Stochastics, Basler Lehrbücher [Basel Textbooks]...

Stochastic gradient descent (often abbreviated SGD) is an iterative method for optimizing an objective function with suitable smoothness properties (e...

as a stochastic process and M is a stochastic matrix, allowing all of the theory of stochastic processes to be applied. One result of stochastic theory...

stochastic vector, since the product of any two stochastic matrices is a stochastic matrix, and the product of a stochastic vector and a stochastic matrix...

In mathematics, a unistochastic matrix (also called unitary-stochastic) is a doubly stochastic matrix whose entries are the squares of the absolute values...

probability distributions Regular stochastic matrix, a stochastic matrix such that all the entries of some power of the matrix are positive Free regular set...

In probability theory and related fields, a stochastic (/stəˈkæstɪk/) or random process is a mathematical object usually defined as a family of random...

will yield a doubly stochastic matrix, whose row sums and column sums equal to unity. However, unlike the doubly stochastic matrix, the diagonal sums of...

plane, and the trivial cases, a point or the whole space). When a stochastic matrix, A, acts on a column vector, b→, the result is a column vector whose...

communities exactly. The community sizes and probability matrix may be known or unknown. Stochastic block models exhibit a sharp threshold effect reminiscent...