Our approach is to make use of the multi-rank of the underlying tensor instead of its tubal rank in the bound. In numerical experiments on synthetic and imaging data sets, we demonstrate the effectiveness of our proposed bound for the number of sample entries. Moreover, our theoretical ...
张量(Tensor):Tensor = multi-dimensional array of numbers 张量是一个多维数组,它是标量,向量,矩阵的高维扩展 ,是一个数据容器,张量是矩阵向任意维度的推广 注意,张量的维度(dimension)通常叫作轴(axis), 张量轴的个数也叫作阶(rank)] 标量(scalar):只有一个数字的张量叫标量(也叫标量张量、零维张量、0D ...
Extensive experimental testing on eight challenging image dataset shows that the proposed method has achieved highly competent objective performance compared to several state-of-the-art multi-view clustering methods. 展开 关键词: T-SVD Tensor multi-rank Multi-view features Subspace clustering ...
(); // 全局函数, 可以获取完整信息,或者通过<>获取某一个维度 auto cute::layout<>(Tensor tensor); auto cute::shape<>(Tensor tensor); auto cute::stride<>(Tensor tensor); auto cute::size<>(Tensor tensor); auto cute::rank<>(Tensor tensor); // (1, (2, 3)) => rank 2 auto cute...
张量(Tensor):Tensor = multi-dimensional array of numbers 张量是一个多维数组,它是标量,向量,矩阵的高维扩展 ,是一个数据容器,张量是矩阵向任意维度的推广 注意,张量的维度(dimension)通常叫作轴(axis), 张量轴的个数也叫作阶(rank)] 标量(scalar):只有一个数字的张量叫标量(也叫标量张量、零维张量、0D ...
Since tensor multi-rank (Zhang et al. 2014) is actually the rank of each projection matrix on different Fourier basis, the non-smooth change along the third dimension may lead to large singular values appearing on the projection matrix slices which are corresponding to the high frequency. 1.2 ...
cyclic permutation invariance and balanced tensor ring rank, which may lead to efficient computation and fewer parameters in regression problems. In this paper, a generally multi-linear tensor-on-tensor regression model is proposed that the coefficient array has a low-rank tensor ring structure, whic...
一些同学(比如……我)还没熟悉基本的 Tensor 操作,就去学习高阶 API 或者搭建神经网络,所以经常在dim参数上出问题,所以在打基础的阶段就要解决这些问题。 取值¶ 打印出来的 Tensor 以很 Pythonic 的嵌套列表方式展示,但作为 C 程序员还是愿意将其理解为二维数组,比如下边这个x,就是一个3×4的二维数组: ...
完整多视图数据表示学习方法 tRLMvC(Tensor-based Robust Low-rank Matrix Learning for Multi-view Clustering)是一种专为多视图数据设计的学习方法,旨在通过考虑多视图数据的关联性和差异性,来改善数据表示并促进后续的聚类任务。 tRLMvC主要由两部分组成:多视图数据的自表示张量学习和Tucker分解自表示张量。
in this paper a dynamic image sequence is stacked into a third-order tensor that consists of a low rank tensor and a sparse tensor within the framework of the multiple measurement vectors model and the multi-way data analysis method... J Lei,HP Mu,QB Liu,... - 《Measurement Science & ...