# Definition In the context of [[Neuron]], the objective pursued by an **input function** is to combine the different input values, assigning them their corresponding weight $w_j$ to obtain a single value. This is achieved by combining each pair of values $x_j$ and their weights $w_j$ in the following ways: - **Weighted Sum:** $ z(X) = \sum_{j=1}^{n} x_j w_j $ - **Minimum Function:** $ z(X) = \min(x_1 w_1, x_2 w_2, \dots, x_n w_n) $ - **Maximum Function:** $ z(X) = \max(x_1 w_1, x_2 w_2, \dots, x_n w_n) $ - **AND (∧) or OR (∨) (Binary):** $ z(X) = (x_1 w_1) \land (x_2 w_2) \land \dots \land (x_n w_n) $ $ z(X) = (x_1 w_1) \lor (x_2 w_2) \lor \dots \lor (x_n w_n) $ --- ## References - [[Deep learning - Anna Bosch Rué Jordi Casas Roma Toni Lozano Bagén]] - [[DeepLearningPrincipios.pdf]]