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In this supplementary material corresponding to the paper 'Unsupervised Self-Adaptive Auditory Attention Decoding' by Geirnaert et al. , which has also been peer-reviewed together with the original article in , we show convergence to a unique fixed point of the fixed-point iteration on the updating model (Equation (18) in the original paper ). We hypothesize and show that under three reasonable conditions on the accuracies of the attended and unattended decoder, there exists a uniquedoi:10.5281/zenodo.5884370 fatcat:6kygvgyzxrhbdlman5hyydrm4i