During the training process, a neural network learns by adjusting the weights and biases of its individual neurons in order to minimize the difference between its predicted outputs and the desired outputs. This adjustment is achieved through an iterative optimization algorithm called backpropagation, which is the cornerstone of training neural networks.
To understand how a neural network learns, let's first delve into its basic structure. A neural network is composed of layers of interconnected neurons, with each neuron performing a simple computation on its inputs and producing an output. The first layer of neurons is called the input layer, which receives the input data. The last layer is the output layer, which produces the final output of the network. The layers in between are called hidden layers, as they are not directly connected to the input or output.
During training, the neural network is presented with a set of input data along with their corresponding desired outputs. The input data is propagated through the network, and the network produces an output. This output is then compared to the desired output, and the difference between the two is quantified by a loss function. The goal of the training process is to minimize this loss function.
To achieve this, the backpropagation algorithm is used. Backpropagation works by calculating the gradient of the loss function with respect to the weights and biases of the neurons in the network. This gradient indicates the direction in which the weights and biases should be adjusted to minimize the loss function. The adjustment is performed using an optimization algorithm, such as stochastic gradient descent (SGD).
The backpropagation algorithm calculates the gradient through a process called error backpropagation. Starting from the output layer, the algorithm calculates the contribution of each neuron to the overall error. It then propagates this error backwards through the network, adjusting the weights and biases of each neuron along the way. This process is repeated for each training example in the dataset, updating the network's parameters in small steps.
The adjustment of the weights and biases is guided by the gradient of the loss function. If a weight or bias has a large positive gradient, it means that increasing its value would decrease the loss function. Conversely, if it has a large negative gradient, decreasing its value would decrease the loss function. By iteratively adjusting the weights and biases in the direction of the negative gradient, the network gradually converges towards a configuration where the loss function is minimized.
It is worth noting that the learning process of a neural network heavily relies on the choice of activation functions. Activation functions introduce non-linearity to the network, allowing it to model complex relationships between inputs and outputs. Commonly used activation functions include the sigmoid function, the hyperbolic tangent function, and the rectified linear unit (ReLU) function.
A neural network learns during the training process by adjusting the weights and biases of its neurons using the backpropagation algorithm. This adjustment is guided by the gradient of the loss function, which indicates the direction in which the weights and biases should be updated to minimize the loss. By iteratively updating the parameters, the network gradually improves its ability to predict the desired outputs.
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