Feedforward Neural Network
A Feedforward Neural Network (FNN) is a type of artificial neural network (ANN) architecture in which information flows in a forward direction, from the input layer through one or more hidden layers to the output layer, without any loops or recurrent connections. FNNs are the simplest form of neural networks and are widely used for various supervised learning tasks, such as classification and regression.
Here's an overview of how a Feedforward Neural Network works:
1. Input Layer:
The input layer of an FNN receives the input data, which could be a vector or a matrix representing the features of the input samples. Each input feature corresponds to a neuron in the input layer.
2. Hidden Layers:
Between the input layer and the output layer, there can be one or more hidden layers in an FNN. Each hidden layer consists of multiple neurons (also called units or nodes) that receive inputs from the previous layer and produce outputs using an activation function. The number of hidden layers and the number of neurons in each hidden layer are design choices based on the complexity of the problem and the available resources.
3. Activation Function:
Each neuron in an FNN applies an activation function to its weighted sum of inputs to introduce non-linearity. Common activation functions used in FNNs include the sigmoid function, hyperbolic tangent (tanh) function, and Rectified Linear Unit (ReLU). The activation function introduces non-linear mapping capabilities, enabling the network to learn complex relationships in the data.
4. Output Layer:
The output layer of an FNN produces the final output of the network. The number of neurons in the output layer depends on the specific task. For example, for binary classification, a single neuron with a sigmoid activation function can be used to represent the probability of belonging to one class. For multi-class classification, multiple neurons with softmax activation can represent the class probabilities.
5. Training:
During the training phase, the FNN adjusts the weights and biases of its neurons to minimize a specified loss or error function. This is typically done using optimization algorithms such as stochastic gradient descent (SGD) or its variants. Backpropagation is employed to compute the gradients and update the network's weights iteratively.
FNNs are powerful models capable of learning complex relationships between input features and target outputs. They can approximate any arbitrary function given enough hidden neurons and appropriate training. However, FNNs may suffer from overfitting if the model capacity is too high or the training data is limited. Regularization techniques, such as dropout or weight decay, can be used to mitigate overfitting.
FNNs have been successfully applied in various fields, including image and speech recognition, natural language processing, recommendation systems, and many other areas where supervised learning is applicable. However, they may not be as efficient in handling tasks involving sequential or spatial data, for which specialized architectures like recurrent neural networks (RNNs) or convolutional neural networks (CNNs) are more suitable.
In summary, Feedforward Neural Networks provide a fundamental architecture for building artificial neural networks capable of learning complex patterns and making predictions. Their simplicity and versatility make them a widely used choice in many applications of machine learning and artificial intelligence.