Before revision:  In this paper , we propose a solution for ergodic exploration based on the spectral analysis in multidimensional spaces using low-rank tensor approximation techniques. We rely on tensor train decomposition , a recent approach from multilinear algebra for low-rank approximation and efficient computation of multidimensional arrays .
After revision:  In this paper , we propose the use of tensor trains , a recent approach from multilinear algebra for low-rank approximation and efficient computation of multidimensional arrays .