1. Why ratio trace instead of trace ratio: Since WDA can be viewed as an extension to the classical Fisher linear

We thank all reviewers for careful review and comments. This "sensitivity" is quantified in the Lipschitz constants For the toy example used to generate Figure 1 and Table 1 (described in Section 4.1), we know that the true Another approach is to project away the null space as we discussed in Line 216-218. The definition was moved to the supplementary material. When λ is small, WDA focuses more on global information and is more similar to FDA. In the context of classical FDA, these are two definitions that are commonly used in the literature.