Abstract-We consider if it is possible to embed biometric similarity scores in low-dimensional, inner product spaces. Starting from a matrix of similarity scores between target and query templates, as computed by a biometric algorithm, we seek to represent the templates as points in a low-dimensional space such that their inner products approximates the neighborhood relationship in the given similarity matrix. The process involves the minimization of the Frobenius norm between the similarities, transformed by a monotonic function, and the inner product of the embedding coordinates. Possible space of monotonic functions are those that transform the statistics of the given scores into a Gumbel distribution, a limiting case extreme-value distribution. The minimization is then over the space of Gumbel parameters and the coordinates. We solve this in a two-step iterative process. Given the Gumbel parameters, we find the coordinates using the Singular Value Decomposition (SVD) of the transformed similarities. The vectors of the decomposition gives us the coordinates. We search for the Gumbel parameters using simplex search, optimizing a rank dispersion index that captures the average fall in rank of the top k-ranked queries for each target, based on the estimated coordinates.We experiment with four different biometrics, namely, gait, face, fingerprint, and voice. For each biometric, we have two different similarity matrices, either from two different algorithms on the same dataset or using the same algorithm on two different datasets. For gait, face, and fingerprint, we used similarities computed on standard datasets, i.e., the HumanID Gait Challenge, FERET dataset, and NIST Biometrics Score Set, respectively. For voice, we used our own data, collected indoor and outdoors. The similarity matrix sizes were 122 by 958, 1196 by 956, 168 by 252, 500 by 1000, for the four modalities. We find that rank dispersion can be kept small (< 1% of the target set size) for a low-dimensional approximation that is 20% of the maximum dimensions needed for perfect embedding. We also find that the quality of the embedding is the best for face, followed by gait, fingerprint, and then voice.