Reviews: k*-Nearest Neighbors: From Global to Local

The mathematical derivation in this work is novel and interesting, but the writing can be improved. The derivation uses Hoeffding's inequality for noise on labels, with a mild assumption on the maximum noise. The analysis using KKT condition is straightforward, and it results in an interesting strategy for finding weights. I want to support the acceptance of this paper, but I have several concerns: 1) According to the derivation, the upper bound of the risk (P1) is given as C\lambda (line 112). With some simple calculations using appropriate parameters, this upper bound does not give a small value.