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Symbolic regression (SR) is a type of regression analysis that searches the space of mathematical expressions to find the model that best fits a given dataset, both in terms of accuracy and simplicity.
Simulink is a MATLAB-based graphical programming environment for modeling, simulating and analyzing multidomain dynamical systems. Its primary interface is a graphical block diagramming tool and a customizable set of block libraries. It offers tight integration with the rest of the MATLAB environment and can either drive MATLAB or be scripted ...
Eureqa was a proprietary modeling engine created in Cornell's Artificial Intelligence Lab and later commercialized by Nutonian, Inc. The software used genetic algorithms to determine mathematical equations that describe sets of data in their simplest form, a technique referred to as symbolic regression .
A numerical modeling environment with a declarative and visual programming language based on influence diagrams. Ch: SoftIntegration 1 October 2001: 7.5.1 2 December 2015: $399 (commercial), $199 (academic), Free (student) Proprietary: C/C++ based numerical computing and graphical plotting [1] DADiSP: DSP Development 1984 1987 6.7 B02 17 ...
MATLAB allows matrix manipulations, plotting of functions and data, implementation of algorithms, creation of user interfaces, and interfacing with programs written in other languages. Although MATLAB is intended primarily for numeric computing, an optional toolbox uses the MuPAD symbolic engine allowing access to symbolic computing abilities.
Symbolic Math Toolbox MathWorks: 1989 2008 9.4(2018a) 2018: $3,150 (Commercial), $99 (Student Suite), $700 (Academic), $194 (Home) including required Matlab: Proprietary: Provides tools for solving and manipulating symbolic math expressions and performing variable-precision arithmetic. SymPy: Ondřej Čertík 2006 2007 1.13.2: 11 August 2024: Free
An illustration of Newton's method. In numerical analysis, the Newton–Raphson method, also known simply as Newton's method, named after Isaac Newton and Joseph Raphson, is a root-finding algorithm which produces successively better approximations to the roots (or zeroes) of a real-valued function.
Multiple roots are highly sensitive, known to be ill-conditioned and inaccurate in numerical computation in general. A method by Zhonggang Zeng (2004), implemented as a MATLAB package, computes multiple roots and corresponding multiplicities of a polynomial accurately even if the coefficients are inexact. [3] [4] [5]