Before revision:  Here, to address this situation and examine the performance of the HMM, we compare it with the Gaussian mixture model (GMM), which is a statistically simpler model than the HMM with no assumption of Markovianity . We do so by applying both models to synthetic and empirical resting-state functional magnetic resonance imaging (fMRI) data.
After revision:  Here, to address this situation and examine the performance of the HMM, we compare it with the Gaussian mixture model (GMM), which is a statistically simpler model than the HMM with no assumption of Markovianity , by applying both models to synthetic and empirical resting-state functional magnetic resonance imaging (fMRI) data.