Design an experiment to investigate whether using a probabilistic encoder would improve the performance of your denoising autoencoder on image denoising tasks. Explain how you would modify the architecture and training procedure to accommodate this change.

We can modify the encoder to be probabilistic by adding noise to its output or using a stochastic layer. This will allow us to use techniques like Bayesian inference for training, but we should also consider whether it’s necessary given that the autoencoder is already working well with a deterministic encoder. The key point is to understand how this change affects the overall architecture and training procedure.