data points changes the norms of all vectors, while the norms are very important quantities in the

Shifting the data points is a good idea, but it might cause problems. In our current work, we focus on theory and datasets satisfying assumption 1. We will rephrase the sentence as follows: "In these scenarios, In the present work, we aim to improve the efficiency of the MIPS problem in algorithmic perspective. GPU can process multiple queries in parallel. Algorithm 1) and the indices of visited vertices can be arbitrarily large. We will add extra discussion in the paper and leave the details for future work. Thanks for finding out our work is interesting. It has been improving and applying to various search tasks. The goal of our paper is to fill this gap. Thank you so much for highly encouraging comments. We address your concern about the normal assumption in our response to reviewer 1. The normal assumption is indeed not necessary. We appreciate your detailed nice summary of our work. We will also change "M