“Approximate” is not a pejorative word
Abstract
“Approximate” is not a pejorative word explores the use of approximations to make data analysis simpler, faster, and more adaptable. Taylor's theorem is derived and used to linearize nonlinear functions. The method is used to create small number approximations, to estimate the variance of nonlinear functions, and to solve nonlinear least squares problems. The gradient of the error is identified as the key quantity controlling the solutions and its further application to the gradient method is explored. The lookup table is introduced as an approximate method of evaluating functions of one or two variables and applied to speeding up iterative calculations. Finally, the artificial neural network ...
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