## Neural Network Diagram: Simple Feedforward Network ### Overview The image depicts a simple feedforward neural network with two input nodes, two hidden nodes, and two output nodes. The diagram illustrates the connections between the nodes and the associated weights. ### Components/Axes * **Nodes:** The network consists of six nodes, arranged in three layers. * Input Layer: Two nodes labeled h₁⁽⁰⁾ and h₂⁽⁰⁾. * Hidden Layer: Two nodes labeled h₁⁽¹⁾ and h₂⁽¹⁾. * Output Layer: Two nodes labeled h₁⁽²⁾ and h₂⁽²⁾. * **Connections:** Each node in one layer is connected to every node in the next layer. * **Weights:** Each connection has an associated weight, denoted by W_ij^(l), where: * i represents the destination node in the next layer. * j represents the source node in the current layer. * l represents the layer number. ### Detailed Analysis * **Input Layer to Hidden Layer:** * h₁⁽⁰⁾ is connected to h₁⁽¹⁾ with weight W₁₁⁽⁰⁾. * h₁⁽⁰⁾ is connected to h₂⁽¹⁾ with weight W₂₁⁽⁰⁾. * h₂⁽⁰⁾ is connected to h₁⁽¹⁾ with weight W₁₂⁽⁰⁾. * h₂⁽⁰⁾ is connected to h₂⁽¹⁾ with weight W₂₂⁽⁰⁾. * **Hidden Layer to Output Layer:** * h₁⁽¹⁾ is connected to h₁⁽²⁾ with weight W₁₁⁽¹⁾. * h₁⁽¹⁾ is connected to h₂⁽²⁾ with weight W₂₁⁽¹⁾. * h₂⁽¹⁾ is connected to h₁⁽²⁾ with weight W₁₂⁽¹⁾. * h₂⁽¹⁾ is connected to h₂⁽²⁾ with weight W₂₂⁽¹⁾. ### Key Observations * The diagram represents a fully connected feedforward network. * The weights are labeled consistently, indicating the connection's origin and destination. * The superscripts on the 'h' and 'W' values denote the layer number. ### Interpretation The diagram illustrates the fundamental structure of a simple neural network. The connections and weights represent the learned relationships between the input, hidden, and output layers. The network processes information by passing it through these layers, with each connection contributing to the final output based on its weight. This type of network can be used for various tasks, such as classification and regression, by adjusting the weights during the training process.