Paper:
Self-Supervised Intrinsic Image Decomposition
Intrinsic decomposition from a single image is a highly challenging task, due to its inherent ambiguity and the scarcity of training data. In contrast to traditional fully supervised learning approaches, in this paper we propose learning intrinsic image decomposition by explaining the input image. Our model, the Rendered Intrinsics Network (RIN), joins together an image decomposition pipeline, which predicts reflectance, shape, and lighting conditions given a single image, with a recombination function, a learned shading model used to recompose the original input based off of intrinsic image predictions. Our network can then use unsupervised reconstruction error as an additional signal to improve its intermediate representations. This allows large-scale unlabeled data to be useful during training, and also enables transferring learned knowledge to images of unseen object categories, lighting conditions, and shapes. Extensive experiments demonstrate that our method performs well on both intrinsic image decomposition and knowledge transfer.

Review:
The paper presents an interesting approach on the intrinsic image decomposition problem: given an input rgb image, it decomposes it first into shape (normals), reflectance (albedo) and illumination (point light) using an encoder-decoder deep architecture with 3 outputs. Then there is another encoder-decoder that takes the predicted normals and light and outputs the shading of the shape. Finally, the result comes from a multiplication between the estimated reflectance (from the 1st encoder-decoder) with the estimated shading. 
The idea of having a reconstruction loss to recover the input image is interesting, but I believe that is only partially employed in the paper. The network architecture still needs labeled data for the initial training. Also, in lines 164-166 the authors mention that the unlabeled data are used together with labeled so the "representations do not shift too far from those learnt". Does this mean that the unlabeled data corrupts the network in a way that the reconstruction is valid but the intermediate results are not correct? That implies that such data driven inference without taking into account the physical properties of light/material/geometry is not optimal.
I found difficult to parse the experiments and how the network is being deployed. How are the train/validation/test sets being created? For example, in 4.1 the motorbike numbers correspond to a test set of motorbikes that were not seen during the initial training (it is mentioned that the held-out dataset is airplanes)? And for decomposing a new shape into its intrinsic properties, do you directly take the output of the 3 decoders, or you have another round of training, but with including the test data. 
Another important limitation is the illumination model being just a single point light source. This simple illumination model (even a spotlight) can not be applied in real images. 
Regarding that, the experiments are only on the synthetic dataset proposed in the paper and there is no comparison with [13, 15] (or a discussion why it is missing). Without testing on real images or having a benchmark such as MIT intrinsics, its difficult to argue about the effectiveness of the method outside of synthetic images.
Also, Figure 3 is the output of the network or is it an illustration of what is not captured by simple lambertian shading?
There is some related work that is missing both for radiometric and learned decomposition into intrinsic properties.
Decomposition into shape/illumination/reflectance:
Single Image Multimaterial Estimation, Lombardi et al, CVPR 12
Shape and Reflectance Estimation in the Wild, Oxholm et al, PAMI 2016, ECCV12
Reflectance and Illumination Recovery in the Wild, Lombardi et al, PAMI 2016, ECCV 12
Deep Reflectance Maps, Rematas et al, CVPR 2016
Decomposing Single Images for Layered Photo Retouching, Innamorati et al, CGF 2017 (arxiv 16)
Deep Outdoor Illumination Estimation, Hold-Geoffroy et al, CVPR 2017 (arxiv 16)
Learning shading using deep learning:
Deep Shading: Convolutional Neural Networks for Screen-Space Shading, Nalbach et al CGF 2017 (arxiv 16)