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An extension of Independent Component Analysis (ICA) to the situation when the mixture of signals is contaminated by multiplicative noise is proposed in this paper. The ICA methods search for the most independent output after a linear transformation of the data vector. If the ICA model is followed by these data, the result of this search is the inverse of the unknown mixture. On the other hand, if...
Alternating minimization is a widely used and empirically successful heuristic for matrix completion and related low-rank optimization problems. Theoretical guarantees for alternating minimization have been hard to come by and are still poorly understood. This is in part because the heuristic is iterative and non-convex in nature. We give a new algorithm based on alternating minimization that provably...
In this paper we propose distributed algorithms that use 2-D image measurements to estimate the absolute 3-D poses of the nodes in a camera network, with the purpose of enabling higher-level tasks such as tracking and recognition. We assume that pairs of cameras with overlapping fields of view can estimate their relative 3-D pose (rotation and translation direction) using standard computer vision...
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