Moreover, it can be also considered as an extension of a simple, commonly used formula connecting MI and correlation coefficient \(\rho \), $$\begin{aligned} I^G(\rho )=-\log \sqrt{1-\rho ^2}. \end{aligned}$$ (3) It is derived by subtracting differential entropy of a ...
Due to its simple analytic form, the Gini index allows for a dispersion-decomposition formula that can be made the starting point for a CART-like cluster tree. Trees are favoured because of i) factor selection and ii) communicability.
In all experiments, the models are trained with the Adam optimizer, employing a learning rate of 1 × 10−4 to minimize the likelihood of a cross-entropy objective. Additionally, we incorporate the ReLU activation function to introduce non-linearity into the networks. To mitigate overfitting ...
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This excellent agreement between fitted and observed marginal distribution carries over to the measures of dispersion given in Table 1, with an IQV value of ≈0.988 and an entropy of ≈0.987. Both values are very close to 1, because the marginal distribution is quite close to a uniform ...
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