
Covariance - KSU Faculty Member websites
... The most common operation on data matrices is the summation of two or more variables. An example is summing the responses for each question on a test to obtain the total test score. To compute the variance of a sum of variables X + Y ...
... The most common operation on data matrices is the summation of two or more variables. An example is summing the responses for each question on a test to obtain the total test score. To compute the variance of a sum of variables X + Y ...
An iterative solution to coupled quaternion matrix equations - PMF-a
... For the quaternion matrix equation, there are many important results. Jiang and Wei [17] investigate e = C by using real representation of a quaternion the solution of the quaternion matrix equation X − AXB matrix. By making use of complex representation of a quaternion matrix, Huang et al. [16] giv ...
... For the quaternion matrix equation, there are many important results. Jiang and Wei [17] investigate e = C by using real representation of a quaternion the solution of the quaternion matrix equation X − AXB matrix. By making use of complex representation of a quaternion matrix, Huang et al. [16] giv ...
On Leonid Gurvits`s Proof for Permanents
... bounds for the permanent (see the book of Minc [12]). In this paper we will consider only lower bounds. Indeed, most interest in the permanent function came from the famous van der Waerden conjecture [16] (in fact formulated as a question), stating that the permanent of any n × n doubly stochastic m ...
... bounds for the permanent (see the book of Minc [12]). In this paper we will consider only lower bounds. Indeed, most interest in the permanent function came from the famous van der Waerden conjecture [16] (in fact formulated as a question), stating that the permanent of any n × n doubly stochastic m ...
Part 1: Graphs and Adjacency Matrices
... that a given adjacency matrix has the proper format. In addition, the function latexGraph in graph.py creates LATEX code to visualize simple graphs and adjacency matrices. For instance, the figure above (including the adjacency matrix to its left) was created by running the Python command latexGraph ...
... that a given adjacency matrix has the proper format. In addition, the function latexGraph in graph.py creates LATEX code to visualize simple graphs and adjacency matrices. For instance, the figure above (including the adjacency matrix to its left) was created by running the Python command latexGraph ...
ppt
... This result shows that algorithm stopped with 3, 5, 9 or 17 clusters When 5 clusters, the “doubles” can be handled within the A/CDC framework Constructing clustering systems with all possible granularity levels is an important feature of the A/CDC algorithm It can also solve “homepage finding” ...
... This result shows that algorithm stopped with 3, 5, 9 or 17 clusters When 5 clusters, the “doubles” can be handled within the A/CDC framework Constructing clustering systems with all possible granularity levels is an important feature of the A/CDC algorithm It can also solve “homepage finding” ...
Non-negative matrix factorization

NMF redirects here. For the bridge convention, see new minor forcing.Non-negative matrix factorization (NMF), also non-negative matrix approximation is a group of algorithms in multivariate analysis and linear algebra where a matrix V is factorized into (usually) two matrices W and H, with the property that all three matrices have no negative elements. This non-negativity makes the resulting matrices easier to inspect. Also, in applications such as processing of audio spectrograms non-negativity is inherent to the data being considered. Since the problem is not exactly solvable in general, it is commonly approximated numerically.NMF finds applications in such fields as computer vision, document clustering, chemometrics, audio signal processing and recommender systems.