CONF Asaei_ICASSP15_2015/IDIAP On Application Of Non-Negative Matrix Factorization for Ad Hoc Microphone Array Calibration from Incomplete Noisy Distances Asaei, Afsaneh Mohammadiha, Nasser Taghizadeh, Mohammad J. Doclo, Simon Bourlard, Hervé Ad hoc array calibration Convex optimization Euclidean distance matrix Non-negative matrix factorization EXTERNAL http://publications.idiap.ch/attachments/papers/2015/Asaei_ICASSP15_2015.pdf PUBLIC IEEE 40th International Conference on Acoustics, Speech and Signal Processing (ICASSP) 2015 IEEE 2694-2698 1520-6149 10.1109/ICASSP.2015.7178460 doi We propose to use non-negative matrix factorization (NMF) to estimate the unknown pairwise distances and reconstruct a distance matrix for microphone array position calibration. We develop new multiplicative update rules for NMF with incomplete input matrix that take into account the symmetry of the distance matrix. Additionally, we develop a convex matrix completion method which is related to an $l_2$-regularized symmetric NMF. Thorough experiments demonstrate that the proposed methods lead to substantial improvement over the state-of-the-art techniques in a wide range of signal-to-noise and unknown-distance ratios. The convex symmetric matrix completion method was found to be the most robust method with less computational cost.