Is artificial intelligence based and comparable with the neural network of the human brain? Are current computers capable of handling the power our brain has with the same speed?
Artificial Intelligence is a simulation of neurons interacting to each other. It's a very good copy of the model of a Neuron, where the
input shows the acting of dendrites, the cell body (soma) represents the
Neuron class itself. And the
output is the axon.
In general, the answer to your question would be - not yet. There are many aspects that are needed for a human brain.
First of all, AI's have an input, which is followed by an output. Our brain doesn't work like this. We have many inputs, many outputs, and many cycles that loop in our brain. There's no simple input - output - end of program. We think even if there is no 'input' (e.g. sleep). In current technology, such a thing is not ready. If you look at the Robot Sophia as another example - she acts like Siri: input - output. You speak, she responds. When in the future it will be possible, that robots will get a pulse, and start a process without an end, then we can call it 'thinking like a human' in a philosophical meaning.
The second point is the size and processing power of our brain. Billions, if not more, neurons, and trillions and more connections are in our brain. On YouTube you find neuronal networks with 6 neurons, some have 100. Maybe there's a secret military agency which has a network with million networks - we can't say. Entire rooms are hosted to simulate our brain which fits in just one head.
But - to end this respond philosophically: In theory, humans are also machines. Advanced, but still machines. A software that runs on a biological hardware. So any intelligence may be comparable. But since you are mentioning the human part - the answer would be probably no.