The `fit_predict` method in the `sklearn.mixture.GaussianMixture` module of Python's `scikit-learn` library is used to both fit a Gaussian Mixture Model (GMM) to a given dataset and predict the labels (cluster assignments) for that dataset based on the fitted model. This method combines the steps of fitting the model using the expectation-maximization algorithm and predicting the labels using the maximum likelihood estimation. It returns an array of predicted labels for each data point in the dataset.
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