张量这一概念的核心在于,它是一个数据容器。 张量的维度(秩):Rank/Order: Rank为0、1、2时分别称为标量、向量和矩阵,Rank为3时是3阶张量,Rank大于3时是N阶张量。这些标量、向量、矩阵和张量里每一个元素被称为tensor element(张量的元素),且同一个张量里元素的类型是保持一样的。 0. scalar 标量 0D张量...
Generalized Killing tensors of arbitrary rank and order, Ukrain. Mat. Zh. 43 (1991) 786-795.A. G. Nikitin, "Generalized Killing tensors of arbitrary rank and order," Ukr. Mat. Zh., 43, No. 6, 786-795 (1991).A. G. Nikitin, Generalized killing tensors of arbitrary rank and order...
将一系列rank-R的tensor打包为一个rank-(R+1)的tensor (整体维度加一) #‘x’ is [1, 4], ‘y’ is [2, 5], ‘z’ is [3, 6] pack([x, y, z]) => [[1, 4], [2, 5], [3, 6]] # 沿着第一维pack pack([x, y, z], axis=1) => [[1, 2, 3], [4, 5, 6]] 等价...
The rank of matrix which two matrices act right semi -tensorproduct is given. 给出了两个矩阵做右半张量积后矩阵的秩,并且讨论了相关的秩的不等式. 期刊摘选 Tensoralgebra is tied to coordinates. 张量代数则离不开坐标系. 辞典例句 We derive the relations between physical andtensorcomponents. ...
we propose a new definition of data dependent tensor rank namedtensor Q-rankby a learnable orthogonal matrix, and further introduce a unified data dependent low rank tensor recovery model. According to the low rank hypothesis, we introduce two explainable selection methods of, under which the data...
顺带说一句 C-order 和 F-order,中文名分别为“行优先存储”和“列优先存储”。在 C 语言数组中,最后一个数字的元素是紧贴的,而 Fortran 中,第一个数字的元素是紧贴的。 在torch.sum等reduce操作中的dim参数表示“按该维度求”。举个例子,对一个NCHW的四维数组(n_samples, channels, height, width)),torc...
parameter is the value to fill that shape with.You might be tempted to pass a tensor as the second parameter, essentially raising the rank of the resulting generated tensor, but it’s important to note that this will not work. For a juxtaposition of what does and doesn’t work, seeTable...
At first, multi-way delay embedding transform (MDT) is employed to represent time series as low-rank block Hankel tensors (BHT). Then, the higher-order tensors are projected to compressed core tensors by applying Tucker decomposition. At the same time, the generalized tensor Autoregressive ...
Currently we only support tensors with rank no greater than 5. name (str, optional): Name for the operation (optional, default is None). For more information, please refer to :ref:`api_guide_Name`. Returns: list(Tensor), The list of broadcasted tensors following the same order as ``...
b:Tensorwith same type and rank asa. transpose_a: IfTrue,ais transposed before multiplication. transpose_b: IfTrue,bis transposed before multiplication. adjoint_a: IfTrue,ais conjugated and transposed before multiplication. adjoint_b: IfTrue,bis conjugated and transposed before multiplication. ...