Dueling Network
Dueling Network
A **Dueling Network** is a type of Q-Network that has two streams to separately estimate (scalar) state-value and the advantages for each action. Both streams share a common convolutional feature learning module. The two streams are combined via a special aggregating layer to produce an
estimate of the state-action value function Q as shown in the figure to the right.

The last module uses the following mapping:

$$ Q\left(s, a, \theta, \alpha, \beta\right) =V\left(s, \theta, \beta\right) + \left(A\left(s, a, \theta, \alpha\right) - \frac{1}{|\mathcal{A}|}\sum\_{a'}A\left(s, a'; \theta, \alpha\right)\right) $$

This formulation is chosen for identifiability so that the advantage function has zero advantage for the chosen action, but instead of a maximum we use an average operator to increase the stability of the optimization.
Dueling Network Architectures for Deep Reinforcement Learning
https://paperswithcode.com/paper/dueling-network-architectures-for-deep
Dueling Network Architectures for Deep Reinforcement Learning