Artificial neural networks simulate the functionality of the human brain's nervous system by connecting and computing through multiple nodes (also called neurons), enabling the combination and output of nonlinear models. Below is a textual introduction to the fundamental principles of neural networks.
I. Composition of Neural Networks
Neuron: The basic unit of a neural network, analogous to neurons in the human brain. Each neuron has multiple inputs and one output. Input values are processed through weighted summation, nonlinear activation functions, and other operations to produce an output value.
Weights: The connection strength between neurons, determining the influence of input values on the output value. Weights are continuously adjusted during the training process to achieve better performance.
Activation Function: A nonlinear function used to map the weighted summation result to an output value. Common activation functions include ReLU, sigmoid, and tanh.


II. How Neural Networks Work
Input Layer: Receives raw data and converts it into a format that neurons can process.
Hidden Layers: Process the input data, extract features, and learn complex relationships within the data. Hidden layers can have multiple layers, each containing numerous neurons.
Output Layer: Generates the final output based on the features extracted by the hidden layers. The output layer is typically associated with the task objective, such as class labels in classification tasks or continuous values in regression tasks.


III. The Learning Process of Neural Networks
Initialization: Assign random values within the (0,1) interval to each connection weight in the network. At this point, the network's output is random.
Forward Propagation: Pass the input data through the neural network layer by layer, computing the output value of each neuron.
Loss Calculation: Calculate the loss function value based on the difference between the output values and the true values. The loss function measures model performance—the smaller the value, the better the model's performance.
Backpropagation: Based on the loss function value, use optimization algorithms such as gradient descent to compute gradient values for each neuron layer by layer and update the weights.
Iterative Training: Repeat the steps of forward propagation, loss calculation, backpropagation, and weight updates until reaching the preset number of iterations or until the loss function value converges.



IV. Application Areas of Neural Networks
Image Recognition: By training neural networks, automatic image recognition and classification can be achieved, such as facial recognition and object detection.
Speech Recognition: Neural networks are used to process and analyze speech signals, enabling automatic speech recognition and understanding, such as voice assistants and speech-to-text input.
Natural Language Processing: Neural networks help computers better understand natural language, improving the efficiency of natural language processing tasks, such as machine translation and sentiment analysis.