The role of target networks in Deep Q-Networks (DQN) is to help stabilize the learning process and prevent the oscillations and divergence that can occur during training.
In traditional Q-Learning, the Q-values are updated using the Bellman equation:
Q(s, a) <- Q(s, a) + (R + * max(Q(s', a')) - Q(s, a))
where βQ(s, a)β is the Q-value at state βsβ and action βaβ, β is the learning rate, βRβ is the reward obtained after taking action βaβ in state βsβ, β is the discount factor, and βmax(Q(sβ, aβ))β is the maximum Q-value over all actions βaββ at the next state βsββ. However, this approach is limiting when dealing with a large state or action space, which is typically the case in complex environments.
To address this issue and improve the stability of learning, DQN applies neural networks to approximate the Q-values. The neural network takes as input the current state and outputs a Q-value for each possible action. During the training process, the neural network is updated to minimize the difference between its predicted Q-values and the target Q-values.
The target Q-values are generated using a separate target network, which is a copy of the main Q-network with the same architecture and parameters. However, the target network parameters are not updated during each episode. Instead, they are fixed for a certain number of iterations, or until a certain condition is met. This delay between updates is known as the target network update frequency.
The target network update frequency helps to stabilize the learning process by reducing the correlation between the Q-value predictions and the target values. Without a target network, the Q-values would be accumulated in a feedback loop, which can lead to overestimation or underestimation of the true values. By using a separate target network, the feedback loop is broken, allowing the algorithm to more accurately estimate the optimal Q-values.
In summary, the target network in DQN is a crucial component that helps to stabilize the learning process by reducing the correlation between the Q-value predictions and the target values. By breaking the feedback loop, the algorithm can more accurately estimate the optimal Q-values, which leads to improved performance in complex environments.