Example request for variational inference on any simple model

I am really a beginner in this field and having a hard time to learn theory and practical implementations at the same time. Can someone provide an example on variational inference on some simple model. For example, Gaussian mixture as described in the paper: Variational Inference: A Review for Statisticians.
Or LDA example, the simple one without any NN stuff. There is one LDA example available but seems a bit above my level. Can we have a simpler one for beginners?

Read the linked Variational Inference review and compare it with the existing LDA example mentioned in the issue. Define a simpler beginner-level example using either a Gaussian mixture model or basic LDA, with the theory and practical implementation connected clearly. Done means the example is understandable without neural-network knowledge and is added to the project's example documentation.