User:Denoir/Equations

Kohonen: $$\Delta W=\sum_{k=1}^R N(X,W_K)\alpha (X^T-W_k)$$

Competitive: $$\Delta W=\sum_{k=1}^R \alpha (X^T-W_k)$$

Gas: $$\Delta W=\sum_{k=1}^R \alpha e^{-k}(X^T-W_k)$$

Kernel adatron:

Multipliers: $$\delta\alpha^i = \eta(1-\gamma^i)\,$$

Biases: $$b=\frac{1}{2}(min(z_i)+max(z_i))$$

daughter wavelet: $$\Psi_j(z)=\Psi\left(\frac{x-m_j}{d_j}\right)$$

Function layer: $$Y=f(X+b)\,$$

Sanger: $$\Delta W_{ij}=\alpha y_i (x_j - \sum_{k=1}^{i-1} y_k w_{kj})$$

Hedges
A little: $$\mu_A(x)^{1.3}\,$$

Slightly: $$\mu_A(x)^{1.7}\,$$

Very: $$\mu_A(x)^{2}\,$$

Extremely: $$\mu_A(x)^{3}\,$$

Very Very: $$\mu_A(x)^{4}\,$$

More or less: $$\sqrt{\mu_A(x)}\,$$

Somewhat: $$\sqrt{\mu_A(x)}\,$$

Indeed: $$\begin{cases} 2\mu_A(x)^2, & \mbox{if 0 }\le\mu_A(x)\le \mbox{ 0.5} \\ 1-2(1-\mu_A(x))^2, & \mbox{if 0.5}<\mu_A(x)\le\mbox{ 1} \end{cases} \,$$