“…Since d 2 2 (x,ỹ) = x +ỹ 2 x -ỹ 2 = ( x + y 2 + 4) xy 2 , there exist constants c 0 , c 1 such that (3.2) holds. Similarly, by Theorem 2.4, we haveM B,b (x) -M b,b (y) ỹ) = min{ x +ỹ 2 , x -ỹ 2 } = min{ x + y 2 + 4, xy 2 }, there exist constants C 0 , C 1 such that (3.3) holds.In contrast to Theorem 4.1 in[9], Theorem 3.4 leads to a slack constraint of the signal from a compact set to R d . Although affine phase retrieval is not bi-Lipschitz with respect to one metric, the mappings M B,b and √ M B,b is bounded by two metrics.…”