Thứ Tư, 17 tháng 5, 2017

Second-order optimization based adaptive PARAFAC decomposition of three-way tensors

 
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 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.

Mời bạn xem bài viết tại đây:  http://repository.vnu.edu.vn/handle/VNU_123/29799

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