Reviews: Selective inference for group-sparse linear models

Clarity/Presentation/Related work/Presentation of contribution(s): The paper is overall clearly and well written. Also, the paper is well structured and makes a good introduction to the problem at hand, exposing what the new challenges and the resulting contributions are (e.g., paragraph lines 103-115). At some few places (see details below), some additional details would be useful. Technical level: The paper appears as technically sound and Lemma 1/Theorem 1 represent a non-trivial contribution. Some questions related to the proofs (see afterwards) should be clarified. Experiments: The experimental section may appear as a bit disappointing.