Yes, they are called recurrent neural networks. The disadvantage is higher memory and time requirements. You need to store the state of the neural network at ev

Yes, they are called recurrent neural networks. The disadvantage is higher memory and time requirements. You need to store the state of the neural network at every time step, and then at the end iterate through the whole process in reverse. Whereas best I understand it, HTM is online and updates the weights every time step without needing to keep a running memory of the states it's been in.