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Octave is a high-level language, primarily intended for numerical computations. It provides a convenient command line interface for solving linear and nonlinear problems numerically, and for performing other numerical experiments. It may also be used as a batch-oriented language.
Maxima is a Common Lisp implementation of MIT's Macsyma system for computer based algebra. It features plotting over the network via netmath, computations over the network, extensive testing on a large array of problems, a source level debugger for
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maxima code, ease of extension in fundamentally new ways, access to Common Lisp and portability to many systems. [Less]
RapidMiner (formerly YALE) is the most comprehensive open-source software for intelligent data analysis, data mining, knowledge discovery, machine learning, predictive analytics, forecasting, and analytics in business intelligence (BI). RapidMiner
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provides more than 400 data mining operators, a graphical user interface (GUI), an online tutorial with hands-on data mining applications, a comprehensive PDF tutorial, many visualization schemes for data sets and data mining results, many different learning and meta-learning schemes ranging from decision tree and rule learners to neural networks, SVMs, ensemble methods, etc.
RapidMiner is implemented in Java and available under GPL (GNU General Public License) as well as under a developer license (OEM license) for closed-source developers [Less]
The GNU Scientific Library (GSL) is a numerical library for C and C++ programmers.
The library provides a wide range of mathematical routines such as random number generators, special functions and least-squares fitting. There are over 1000 functions in total with an extensive test suite.
The ATLAS (Automatically Tuned Linear Algebra Software) project is an ongoing research effort focusing on applying empirical techniques in order to provide portable performance. It provides C and Fortran77 interfaces to a portably efficient BLAS implementation, as well as a few routines from LAPACK.
Java tools and libraries for the advancement of sciences.
Set of open, reliable, math functions in classes (=collections by domains) designed to be used from any project/library, with any data-structure.
In other words, all the things you usually rewrite for each project. But coded with universality in
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mind.
The most important package is the org.openmali.vecmath2 one, which contains an improved vecmath - similar to Sun's vecmath, but better, faster and more convenient. [Less]
O2scl is an object-oriented library for numerics in C++ useful for solving, minimizing, differentiating, integrating, interpolating, fitting, and more. Classes operate on generic member functions and generic vector types. Includes classes from GSL and CERNLIB.
Perl module for handling of numbers with arbitrary many uncertainties. Does automatic error propagation and scientific rounding.
An extension for outputting the objects in LaTeX syntax is available.
MARF is an open-source research platform and a collection of voice/sound/speech/text and natural language processing (NLP) algorithms written in Java and arranged into a modular and extensible framework facilitating addition of new algorithms. MARF
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can run distributedly over the network and may act as a library in applications or be used as a source for learning and extension. [Less]
The Java Machine Learning Library is a set of reference implementations of machine learning algorithms. These algorithms are well documented, both in the source code as on the documentation site. Besides real machine learning algorithms also a lot of
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supporting classes are provided: distance measures, evaluation criteria, datasets for validation purposes and some sample code.
Currently the library contains clustering algorithms, distance measures, wavelet transforms, fourier transforms, matrices, support vector machines and some other algorithms [Less]
Math::Symbolic is intended to offer symbolic calculation capabilities to the Perl programmer without using external (to Perl) libraries and/or applications.
It's quite limited in scope. No integration of expressions, for example. However, various
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extensions have been written to allow things like symbolic tree transformations using declarative syntax or compilation to Perl or C code for faster numeric evaluation. [Less]
This is another library for creating and manipulating graphs. There is simply no other graph library out there which can be handle graphs of the size the author is confronted with efficiently. Whenever possible igraph tries to be also user friendly
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and portable.
igraph started as an additional package to the GNU R statistical environment, and still some functions which are hard to implement in C are available only in R (like interactive graphics). Most functions are however now written in C and they can be compiled without R as a separate library. [Less]
eXtensible Binary Universal Protocol (XBUP) is attempt to create universal platform independent protocol for general usage. It should use best unary-binary encoding and most logical tree structure based on strong arguments.
gplib++ is a C++-library to handle geophysical data. At the moment the focus is on magnetotelluric and seismic data. It also includes a genetic algorithm for data inversion, signal processing and statistics routines.