Author ’ s response to the referees ’ reports on " Recent progress in structured low - rank approximation
نویسنده
چکیده
A subarea of low-rank approximation that is not covered in this overview is tensors low-rank approximation [WVB10, LV00]. Tensor methods are used in higher order statistical signal processing problems, such as independent component analysis, and multidimensional signal processing, such as spatiotemporal modeling and video processing, to name a few. Other areas of research on low-rank approximation that we do not cover are nonnegative low-rank approximation and matrix completion [Mar11]. Nonnegative constraints appear, for example, in chemometrics, image, and text processing [BBL+07]. These constraints are imposed in solution methods by a rank revealing factorization with nonnegative factors. In addition, upper bounds on the elements are imposed in the method of [KIP12].
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