%A Viet Dung Nguyen %A Karim Abed-Meraim %A Linh Trung Nguyen %J Digital Signal Processing %T Second-order optimization based adaptive PARAFAC decomposition of three-way tensors %X 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. %P 100-111 %V 63 %D 2017 %I Elsevier %L SisLab2485