Robust Barron-Loss Tucker Tensor Decomposition
preprintposted on 2021-12-24, 12:38 authored by Mahsa Mozaffari, Panos P. MarkopoulosPanos P. Markopoulos
In this work, we propose a new formulation for low-rank tensor approximation, with tunable outlier-robustness, and present a unified algorithmic solution framework. This formulation relies on a new generalized robust loss function (Barron loss), which encompasses several well-known loss-functions with variable outlier resistance. The robustness of the proposed framework is corroborated by the presented numerical studies on synthetic and real data.
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