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NONLINEAR LEAST SQUARES

Find values of parameters \( \beta\in {\mathbb R}^{p} \) that best fit data (xi,yi) for model

\begin{displaymath}
{y_i = f(x_i;\beta^{}) + \epsilon_i \ , i=1,\dots,n \ ; \qquad x_i\in {\mathbb R}^{m}}\end{displaymath}