Review for NeurIPS paper: Modeling Shared responses in Neuroimaging Studies through MultiView ICA

Neural Information Processing Systems 

Additional Feedback: Line 77: The model assumes full rank (square mixing matrices). This forces some kind of dimension reduction tool (PCA) to be applied to the data prior to ICA. However, it has been shown that such a two-step approach is sup-optimal, relative to algorithms that perform combined dimension reduction and ICA (see: Artoni et al., 2018, NeuroImage 175, p.176). Line 88: The model assumes noise is in source space and independent cross views. Such models have been investigated before in the ICA literature (see e.g.: Lukic et al., 2002, Proceedings International Conference on Image Processing Vol. 2. IEEE).