Reviews: Incremental Variational Sparse Gaussian Process Regression

Neural Information Processing Systems 

This is a very interesting, well written paper that tackles a relevant topic for the NIPS audience. I assume f_{\tilde{X}} and f_X are the function values at the inducing points and the training data? How can a distribution represent two functions? Please put that reference closer to where you need it. Please also write down the inducing functions.