This paper presents GRASTA (Grassmannian Robust Adaptive Subspace Tracking Algorithm), an efficient and robust online algorithm for tracking subspaces from highly incomplete information. The algorithm uses a robust l 1 -norm cost function in order to estimate and track non-stationary subspaces when the streaming data vectors are corrupted with outliers. We apply GRASTA to the problems of robust matrix completion and real-time separation of background from foreground in video. In this second application, we show that GRASTA performs highquality separation of moving objects from background at exceptional speeds: In one popular benchmark video example [28] , GRASTA achieves a rate of 57 frames per second, even when run in MATLAB on a personal laptop.
In REF , a robust online subspace tracking algorithm called Grassmannian Robust Adaptive subspace Tracking Algorithm (GRASTA) was proposed.
Online Robust Subspace Tracking from Partial Information
ArXiv
ArXiv
Mathematics Computer Science