The Universal Java Matrix Package (UJMP) is a Java library that provides implementations for sparse and dense matrices, as well as a large number of calculations for linear algebra like multiply, add, subtract. But also more advanced methods like mean, correlation, standard deviation, replacement of missing values or mutual information are supported. Matrices can be imported from and exported to a large number of file formats, also linking to JDBC databases is supported.

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This document gives a detailed overview about the framework of the Universal Java Matrix Package Activation Code. This framework provides a large number of matrix and array related classes, methods, operator and data structures. The framework also supports a number of methods that do not belong to any of the classes and methods provided by the framework. In this case the methods are implemented on the respective classes, these implementations are provided in the file ujmp.util. So this means that the classes of the UJMP are tightly integrated with the framework. The use of the framework is not limited to UJMP, it can also be used for other purposes, like for example as matrix output format or as input format for other tools. Tutorials: The classes and methods of the framework can be used for a large number of scientific calculations. The framework provides you with a large number of methods to calculate frequently used properties of matrices, arrays or scalars like mean, standard deviation, correlation, eigenvalues, singular values, determinant, rank, trace, eigenvector and many more. Furthermore the framework also offers a large number of methods for calculating linear algebra functions like scalar product, dot product, cross product, rotation, translation, linear combination, addition, and Subtraction. Each class of the framework offers a collection of static methods that are related to the respective matrix class. In addition to the classical methods like transpose, determinant, mean, singular values, trace and rank, the framework provides methods to transform an existing matrix, i.e. to calculate a new matrix with the same values or filling values with an array of data, adding values or multiplying values. The data structure allows to have one type of matrix with multiple dimensions. The framework also offers a collection of methods to store a matrix, access its elements, its dimensions, its data type or its file format. The framework also offers a large number of methods to perform calculations on matrices that are either sparse or dense. In case of sparse matrices the framework provides operations like add, subtract and multiply. In case of dense matrices, the framework provides methods to calculate values of elements, matrices, scalars, and collections of data, i.e. arrays. The results for both cases can be stored in standard or sparse matrix form. You also have the option to calculate the inner, outer product of a matrix with another one. You also have a method

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All matrices (matrix and 2D-vector) can be organized in a tree structure which is the basis for hierarchical storing and browsing. Matrix operations are done by method calls, which means that all matrix operations are called by the developer. For example, with the JAMA-package, you have the possibility to compute a multiplication-example with the native matrix-multiplication. As of version 2.4.4, it is possible to create sparse matrices as well. As of version 3.0.0, any scalar returned by a method can be calculated for each element in the matrix using a separate method (e.g. the mean()-method returns the mean of the elements and the variance() returns the variance). This improves the performance significantly as the method call is always calculated only once, while with the previous implementation two calls were necessary for each element. The variance() method returns the variance of the elements directly. As of version 3.0.0, the supplied library has been totally rewritten. This includes the way the internal matrices are implemented and stored. In addition, the package structure has been modified to allow a more user-friendly way of importing and exporting matrices. As of version 4.2.2, some minor changes in the implementation of the mean()-method have been made to improve performance. As of version 5.0.0, element-wise matrix operations as well as streaming I/O methods are available. As of version 5.2.0, the universal matrix package has been ported to Java 8 (major changes in API as well as underlying implementation). The new API allows you to generate matrices and perform basic operations, without having to do the matrix-fetching and matrix-multiplying yourself. As of version 5.3.0, using means and variances in the matrix operations now works correctly for all kinds of matrices, not only for “sparse” matrices. As of version 6.0.0, some documentation has been improved. The source-code has been updated for version 6.1.0. As of version 6.2.0, a few small bugfixes have been added. As of version 6.4.0, the source code is now stored in svn, the documentation in doxygen and the documentation is automatically generated using doxygen during compilation. As of version 7 02dac1b922

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UJMP is a Java library for handling sparse and dense matrices. It comprises several classes for numerical calculations (sparse-matrix operations, linear algebra, statistics). It provides ready-to-use implementations of common matrix operations and a framework for defining user-defined matrices. The matrix classes are designed for maximum efficiency in performance. All operations are implemented as vectorized loop operations. Sparsity can be controlled via iterative approaches such as the minimum degree, a greedy algorithm to find a column degree that fulfills a specified degree threshold, or the maximum degree, finding the maximum column degree over all rows. The matrix algebra and the software library for matrix manipulation, density estimation, and statistics can be used in Java without any external libraries. MATLAB and Python like interface (Python, tkinter, pyplot, sip) MATLAB and Python like interface (Python, tkinter, pyplot, sip) MATLAB and Python like interface (Python, tkinter, pyplot, sip) MATLAB and Python like interface (Python, tkinter, pyplot, sip) MATLAB and Python like interface (Python, tkinter, pyplot, sip) MATLAB and Python like interface (Python, tkinter, pyplot, sip) Features: Multi-threaded for speed up matrix calculations Classes Sparse Matrix: Sparse matrices are the most data friendly representation of a matrix, where instead of storing the full matrix data in the memory, only a fraction of it is stored, saving a lot of memory. This is possible by using iterative approaches for the sparsity definition. Dense Matrix: Dense matrices are the most memory demanding representation of a matrix, allowing them to hold the complete matrix data at the same time. This representation however, limits the operations over a matrix and only allow calculations to be done on the whole matrix. Dense Matrix with Theano Dense Matrix with Theano Dense Matrix with Theano Dense Matrix with Theano Dense Matrix with Theano Dense Matrix with Theano Quick calculation for Matrix product Dense Matrix Operations Dense Matrix Operations Dense Matrix Operations Dense Matrix Operations Operations over a matrix and a submatrix for time and memory efficient calculations of a

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UJMP comprises a Java representation of a matrix and corresponding algorithms for advanced methods like data transformation and analyses. The matrix is represented as a matrix array of double values. It has exactly the same API as numpy or MATLAB. As a special feature the method simplify is available. It returns a matrix with elements that are computed easily. All operations for arrays will then automatically be applied as long as the input matrix is a subarray. Most methods are declared as static. This means that you don’t need an instance of a matrix to apply them to. Special care was given to speed up computations and minimize memory consumption. As an example, if you want to compute the matrix-vector product, you shouldn’t create a new matrix, but use the multiply method of the matrix. This project can be used as a reference or a library in your code, because the matrix API is self contained and well documented. As UJMP is a library, you don’t need to care about coding matrix methods anymore. If you start a new project and need a matrix library, you can start with UJMP and use it for reference, otherwise you can switch to a different library like numpy. UJMP includes the following libraries: + Matrices and Algorithms: – Different types of matrices like orthogonal, diagonal, upper/lower triangular,… – Multiply and add matrices – Matrix decompositions like singular value decomposition and Eigen decomposition – Orthogonalization of matrices – Submatrices, determinant, trace, rank + Linear Algebra: – Complex vector – General vector operations – Matrix vector multiplication – Vector operations – Matrix transposition – Matrix inversion + General calculations – Mean – Correlation – Standard deviation – Missing values – Mutual information UJMP is released under the GPL 3.0 License. Documentation: The documentation is made available on the project’s github page, as well as a virtual book, which is also available in pdf-format. Some detailed description of the methods and matrices can be found here: The UJMP is also available on the web at ujmp.sourceforge.net Who we are: Sebastian Schmied, the primary developer. Vincent Haf

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