)
There is no experiment to support the limitations of Free-Lunch as explicitly claimed by the authors. Even though it is observed that the overall performance has been improved, it is not quite clear whether such a performance gain indeed comes from addressing the limitations of Free-Lunch.
The presentation can be further improved as the current notations are too complicated and some consecutive sentences are not smoothly linked to each other.
In the overall performance comparison (Table 1), the performance gain of H-OT is somewhat marginal particularly in 1shot settings.
1), the performance gain of H-OT is somewhat marginal particularly in 1shot settings.