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There are several instances where the functional form is shown as $$\beta_0 + f_1(X_1) + f_2(X_2, X3) + \ldots + f_M(X_N),$$
and I believe it should be $$\beta_0 + f_1(X_1) + f_2(X_2) + f_3( X_3) + \ldots + f_M(X_M),$$
or even this $$\beta_0 + f_1(X_1) +\ldots + f_M(X_M)$$
is probably sufficient.
The text was updated successfully, but these errors were encountered:
I changed the formulas to be single variable functions. I'm not sure if the previous intent was to imply the existence of the two variable 'tensor' functions. If that is in fact the case, then separating the two variable functions out from the single variable would be easier to read: $$\beta_0 + f_1(X_1) + \ldots + f_M(X_M) + \sum_{j=0}^{M} \sum_{k\neq j} f_{j,k}(X_j, X_k)$$
where the double indices imply the dependance on two variables. It should also probably be mentioned that having the two variable functionality is generalizing beyond your typical GAM, which I believe are only supposed to be single variable functions
There are several instances where the functional form is shown as
$$\beta_0 + f_1(X_1) + f_2(X_2, X3) + \ldots + f_M(X_N),$$
$$\beta_0 + f_1(X_1) + f_2(X_2) + f_3( X_3) + \ldots + f_M(X_M),$$
$$\beta_0 + f_1(X_1) +\ldots + f_M(X_M)$$
and I believe it should be
or even this
is probably sufficient.
The text was updated successfully, but these errors were encountered: