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The simplest form of the non-linear closed-form regression is polynomial:
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Y_W^{-1} = Y_{W0}^{-1} + \sum_{k=1}^N w_k \cdot q_k ^ {n_k} |
The more general of the non-linear closed-form regression is rational:
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Y_W^{-1} = Y_{W0}^{-1} + \frac{\sum_{k=1}^N w_k \cdot q_k ^ {n_k} }{\sum_{k=1}^N z_k \cdot q_k ^ {m_k} }, \quad k=[1..N]|z| = \sqrt{\sum_k z_k} >0 |