TY - JOUR ID - SisLab2485 UR - http://www.sciencedirect.com/science/article/pii/S105120041730009X A1 - Nguyen, Viet Dung A1 - Abed-Meraim, Karim A1 - Nguyen, Linh Trung Y1 - 2017/04// N2 - 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. PB - Elsevier JF - Digital Signal Processing VL - 63 SN - 1051-2004 TI - Second-order optimization based adaptive PARAFAC decomposition of three-way tensors SP - 100 AV - restricted EP - 111 ER -