@article{SisLab2485,
          volume = {63},
           month = {April},
          author = {Viet Dung Nguyen and Karim Abed-Meraim and Linh Trung Nguyen},
           title = {Second-order optimization based adaptive PARAFAC decomposition of three-way tensors},
       publisher = {Elsevier},
         journal = {Digital Signal Processing},
           pages = {100--111},
            year = {2017},
             url = {https://eprints.uet.vnu.edu.vn/eprints/id/eprint/2485/},
        abstract = {A fast adaptive parallel factor (PARAFAC) decomposition algorithm is proposed for a class of third-order tensors that have one dimension growing linearly with time. It is based on an alternating least squares approach in conjunction with a Newton-type optimization technique. By preserving the Khatri-Rao product and exploiting the the reduced-rank update structure of the estimated subspace at each time instant, the algorithm achieves linear complexity and superior convergence performance. A modified version of the algorithm is also proposed to deal with the non-negative constraint. In addition, parallel implementation issues are investigated. Finally, the performance of the algorithm is numerically studied and compared to several state-of-the-art algorithms.}
}