论文标题
使用GPU计算的应用使用应用的Hight Order Tensors的广义L产品
Generalized L-product for hight order tensors with applications using GPU computation
论文作者
论文摘要
在本文中，我们将介绍L量产品（L产品）的概括，包括定义用于三阶张量的众所周知的张量余弦和T产品的概括，并基于快速的傅立叶变换和离散余弦变换（DCT）。我们将在张量完成时提供一些申请。为了解决与张量完成问题相关的一些优化问题，我们将使用近端梯度算法（PGA）来解决一些派生的优化问题。给出了数值测试以显示所提出的方法的有效性，并使用GPU计算提出了一些测试。
In this paper, we will present a generalization of the L-tensor product (L-product) including generalization of the well known tensor cosine and T-products that were defined for third-order tensors and based on fast Fourier transform and discrete cosine transform (DCT). We will give some applications on tensor completion. To solve some optimization problems linked with the problem of tensor completion, we will use the Proximal Gradient Algorithm (PGA) to solve some derived optimization problems. Numerical tests are given to show the effectiveness of the proposed methods and also present some tests using GPU computation.
