Reviews: Implicit Regularization of Discrete Gradient Dynamics in Linear Neural Networks

The paper addresses an important topic (implicit regularization in deep learning), is well-written, and although I did not verify proofs in the appendixes, I believe it is mathematically solid. Nonetheless, I have several concerns with regards to originality, significance and clarity (see below), which ultimately lead me to vote against its acceptance. This is true for the proof techniques as well. The only part I view as potentially novel is the perturbation analysis, but that is unfortunately not discussed at all in the body of the paper. I recommend to the authors to put much more focus on this aspect, as without it the paper is merely a straightforward extension of prior work.