multivariate forecasting using sktime

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I am new to sktime and time series forecasting. I am using the following Kaggle dataset to forecast sales for different stores:

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I have created x_train and y_train datasets as follows:

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I want to train a model using date, store, and item features and make predictions. I am now looking for an example, where I can use SkTime to train Arima, Prophet, and LightGBM model on the x_train dataset. After training, I will like to make predictions using x_test dataset.

x_test dataset has the same structure as x_train i.e. having date, store, and item columns.

Any help or guidance will be really appreciated.

Thank

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