• Thumbnail for Gauss–Newton algorithm
    The GaussNewton algorithm is used to solve non-linear least squares problems, which is equivalent to minimizing a sum of squared function values. It is...
    26 KB (4,177 words) - 10:25, 9 January 2025
  • in least squares curve fitting. The LMA interpolates between the GaussNewton algorithm (GNA) and the method of gradient descent. The LMA is more robust...
    22 KB (3,211 words) - 07:50, 26 April 2024
  • Thumbnail for List of things named after Carl Friedrich Gauss
    Gauss–Kronrod quadrature formula GaussNewton algorithm Gauss–Legendre algorithm Gauss's complex multiplication algorithm Gauss's theorem may refer to the divergence...
    14 KB (1,117 words) - 16:38, 23 January 2025
  • Several researchers have developed algorithms for computing Gauss–Legendre quadrature nodes and weights based on the Newton–Raphson method for finding roots...
    13 KB (1,616 words) - 11:25, 30 April 2025
  • Powell's dog leg method (category Optimization algorithms and methods)
    D. Powell. Similarly to the Levenberg–Marquardt algorithm, it combines the GaussNewton algorithm with gradient descent, but it uses an explicit trust...
    6 KB (879 words) - 07:48, 13 December 2024
  • Thumbnail for Isaac Newton
    time of when Newton lived, what he had done was much the better half. Mathematician E.T. Bell ranked Newton alongside Carl Friedrich Gauss and Archimedes...
    170 KB (18,253 words) - 05:16, 7 May 2025
  • Thumbnail for Newton's method
    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...
    70 KB (8,923 words) - 18:09, 7 May 2025
  • spaces Newton's method in optimization Nonlinear optimization BFGS method: a nonlinear optimization algorithm GaussNewton algorithm: an algorithm for solving...
    72 KB (7,945 words) - 09:48, 26 April 2025
  • Thumbnail for Newton's method in optimization
    such as Deep Neural Networks. Quasi-Newton method Gradient descent GaussNewton algorithm Levenberg–Marquardt algorithm Trust region Optimization Nelder–Mead...
    12 KB (1,857 words) - 12:04, 25 April 2025
  • Thumbnail for Early life of Isaac Newton
    Philosophy of Newton GaussNewton algorithm History of calculus List of independent discoveries Newton's cannonball Newton disc Newton fractal Newton's inequalities...
    46 KB (7,056 words) - 09:08, 24 March 2025
  • Thumbnail for Gaussian elimination
    normal equations of least-squares problems. The algorithm that is taught in high school was named for Gauss only in the 1950s as a result of confusion over...
    33 KB (4,369 words) - 18:01, 30 April 2025
  • {T}}\ \Delta \mathbf {y} .} These equations form the basis for the GaussNewton algorithm for a non-linear least squares problem. Note the sign convention...
    28 KB (4,539 words) - 08:58, 21 March 2025
  • Thumbnail for Expectation–maximization algorithm
    such as gradient descent, conjugate gradient, or variants of the GaussNewton algorithm. Unlike EM, such methods typically require the evaluation of first...
    50 KB (7,512 words) - 10:00, 10 April 2025
  • Thumbnail for Global Positioning System
    by iteration on a linearized form of the equations, such as the GaussNewton algorithm. The GPS was initially developed assuming use of a numerical least-squares...
    185 KB (19,124 words) - 03:18, 9 April 2025
  • Thumbnail for Least squares
    Least squares (category Optimization algorithms and methods)
    {T}}\Delta \mathbf {y} .} These are the defining equations of the GaussNewton algorithm. The model function, f, in LLSQ (linear least squares) is a linear...
    39 KB (5,601 words) - 14:31, 24 April 2025
  • Sir Isaac Newton. Newtonianism, the philosophical principle of applying Newton's methods in a variety of fields GaussNewton algorithm Newton–Cotes formulas...
    4 KB (419 words) - 19:22, 9 March 2024
  • averaging. The GaussNewton method may also be used with the minimum number of measurements. While the Gauss-Newton NLLS iterative algorithm is widely used...
    73 KB (9,850 words) - 15:55, 4 February 2025
  • Thumbnail for Gaussian quadrature
    analysis, an n-point Gaussian quadrature rule, named after Carl Friedrich Gauss, is a quadrature rule constructed to yield an exact result for polynomials...
    42 KB (6,792 words) - 02:19, 18 April 2025
  • Thumbnail for Isaac Newton's apple tree
    Isaac Newton's apple tree at Woolsthorpe Manor represents the inspiration behind Sir Isaac Newton's theory of gravity. While the precise details of Newton's...
    48 KB (4,294 words) - 04:18, 3 April 2025
  • Non-linear least squares GaussNewton algorithm BHHH algorithm — variant of GaussNewton in econometrics Generalized GaussNewton method — for constrained...
    70 KB (8,335 words) - 20:20, 17 April 2025
  • generalized GaussNewton method is a generalization of the least-squares method originally described by Carl Friedrich Gauss and of Newton's method due...
    856 bytes (73 words) - 16:09, 28 September 2024
  • Thumbnail for Carl Friedrich Gauss
    Johann Carl Friedrich Gauss (/ɡaʊs/ ; German: Gauß [kaʁl ˈfʁiːdʁɪç ˈɡaʊs] ; Latin: Carolus Fridericus Gauss; 30 April 1777 – 23 February 1855) was a German...
    181 KB (17,929 words) - 03:22, 7 May 2025
  • Thumbnail for Isaac Newton Telescope
    The Isaac Newton Telescope or INT is a 2.54 m (100 in) optical telescope run by the Isaac Newton Group of Telescopes at Roque de los Muchachos Observatory...
    23 KB (1,681 words) - 17:45, 6 January 2025
  • Gradient descent (category Optimization algorithms and methods)
    Broyden–Fletcher–Goldfarb–Shanno algorithm Davidon–Fletcher–Powell formula Nelder–Mead method GaussNewton algorithm Hill climbing Quantum annealing CLS...
    39 KB (5,587 words) - 21:14, 5 May 2025
  • points of Gauss–Legendre quadrature. The Gauss–Legendre method based on s points has order 2s. All Gauss–Legendre methods are A-stable. The Gauss–Legendre...
    8 KB (1,246 words) - 04:15, 27 February 2025
  • Thumbnail for Fluxion
    Fluxions were introduced by Isaac Newton to describe his form of a time derivative (a derivative with respect to time). Newton introduced the concept in 1665...
    5 KB (687 words) - 03:31, 21 February 2025
  • GaussNewton algorithm. This algorithm is very slow but better ones have been proposed such as the project out inverse compositional (POIC) algorithm...
    7 KB (946 words) - 17:43, 29 December 2024
  • In vector calculus, the divergence theorem, also known as Gauss's theorem or Ostrogradsky's theorem, is a theorem relating the flux of a vector field...
    45 KB (7,532 words) - 20:30, 12 March 2025
  • Thumbnail for Euclidean algorithm
    Euclidean algorithm to demonstrate unique factorization of Gaussian integers, although his work was first published in 1832. Gauss mentioned the algorithm in...
    126 KB (15,349 words) - 16:35, 30 April 2025
  • calculating the initial coefficients β i {\displaystyle \beta _{i}} , the Gauss-Newton algorithm is used to refine them. The R and T matrices that minimize the reprojection...
    15 KB (2,342 words) - 08:49, 15 May 2024