Activation Function, Hidden Layer and non linearity. _ day 12

Understanding Non-Linearity in Neural Networks Understanding Non-Linearity in Neural NetworksNon-linearity in neural networks is essential for solving complex tasks where the data is not linearly separable. This blog post explains why hidden layers and non-linear activation functions are necessary, using the XOR problem as an example. What is Non-Linearity?Non-linearity in neural networks allows the model to learn and represent more complex patterns. In the context of decision boundaries, a non-linear decision boundary can bend and curve, enabling the separation of classes that are not linearly separable. Role of Activation FunctionsThe primary role of an activation function is to introduce non-linearity into the neural network. Without non-linear activation functions, even networks with multiple layers would behave like a single-layer network, unable to learn complex patterns. Common non-linear activation functions include sigmoid, tanh, and ReLU. Role of Hidden LayersHidden layers provide the network with additional capacity to learn complex patterns by applying a series of transformations to the input data. However, if these transformations are linear, the network will still be limited to linear decision boundaries. The combination of hidden layers and non-linear activation functions enables the network to learn non-linear relationships and form non-linear decision boundaries. Mathematical Explanation Without Hidden LayersA…