Delta-rational chord: Difference between revisions
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and turning the objective function into a sum of univariate objective functions | and turning the objective function into a sum of univariate objective functions | ||
<math> \displaystyle{ \sum_{ | <math> \displaystyle{ \sum_{k_i=1}^{n_i} \Bigg( \beta_i r_{k_i} - \beta_i - \sum_{{l_i}=1}^i \delta_{i,l_i} \Bigg)^2. } </math> | ||
The Hessian of the resulting objective function is positive-definite, thus the global optimum can be found by setting all individual partial derivatives to zero. | The Hessian of the resulting objective function is positive-definite, thus the global optimum can be found by setting all individual partial derivatives to zero. | ||