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  2. List of numerical-analysis software - Wikipedia

    en.wikipedia.org/wiki/List_of_numerical-analysis...

    ELKI a software framework for development of data mining algorithms in Java. GAUSS, a matrix programming language for mathematics and statistics. GNU Data Language, a free compiler designed as a drop-in replacement for IDL. IDL, [21] a commercial interpreted language based on FORTRAN with some vectorization.

  3. Google JAX - Wikipedia

    en.wikipedia.org/wiki/Google_JAX

    It is designed to follow the structure and workflow of NumPy as closely as possible and works with various existing frameworks such as TensorFlow and PyTorch. [5] [6] The primary functions of JAX are: [2] grad: automatic differentiation; jit: compilation; vmap: auto-vectorization; pmap: Single program, multiple data (SPMD) programming

  4. Comparison of numerical-analysis software - Wikipedia

    en.wikipedia.org/wiki/Comparison_of_numerical...

    FOSS statistics program, intended as an alternative to IBM SPSS Statistics. [Note 2] R: R Foundation 1997 1997 4.3.2 31 October 2023: Free GPL: Primarily for statistics, but there are many interfaces to open-source numerical software SageMath: William Stein: 2005 10.2 3 December 2023: Free GPL: Programmable, includes computer algebra, 2D+3D ...

  5. Gaussian process - Wikipedia

    en.wikipedia.org/wiki/Gaussian_process

    A Gaussian process can be used as a prior probability distribution over functions in Bayesian inference. [7] [23] Given any set of N points in the desired domain of your functions, take a multivariate Gaussian whose covariance matrix parameter is the Gram matrix of your N points with some desired kernel, and sample from that Gaussian. For ...

  6. Tridiagonal matrix algorithm - Wikipedia

    en.wikipedia.org/wiki/Tridiagonal_matrix_algorithm

    Simplified forms of Gaussian elimination have been developed for these situations. [ 6 ] The textbook Numerical Mathematics by Alfio Quarteroni , Sacco and Saleri, lists a modified version of the algorithm which avoids some of the divisions (using instead multiplications), which is beneficial on some computer architectures.

  7. Random sample consensus - Wikipedia

    en.wikipedia.org/wiki/Random_sample_consensus

    Random sample consensus (RANSAC) is an iterative method to estimate parameters of a mathematical model from a set of observed data that contains outliers, when outliers are to be accorded no influence [clarify] on the values of the estimates. Therefore, it also can be interpreted as an outlier detection method. [1]

  8. Gaussian random field - Wikipedia

    en.wikipedia.org/wiki/Gaussian_random_field

    One way of constructing a GRF is by assuming that the field is the sum of a large number of plane, cylindrical or spherical waves with uniformly distributed random phase. Where applicable, the central limit theorem dictates that at any point, the sum of these individual plane-wave contributions will exhibit a Gaussian distribution.

  9. Gauss–Newton algorithm - Wikipedia

    en.wikipedia.org/wiki/Gauss–Newton_algorithm

    In this example, the Gauss–Newton algorithm will be used to fit a model to some data by minimizing the sum of squares of errors between the data and model's predictions. In a biology experiment studying the relation between substrate concentration [S] and reaction rate in an enzyme-mediated reaction, the data in the following table were obtained.