Examples of using Tensors in English and their translations into Japanese
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As mathematical objects with multiple dimensions, tensors have a shape, and we specify that shape by treating tensors as n-dimensional arrays.
The most general approaches to calculating the forces in motors use tensors.
More generally, the number of tensors is given by the product of the remaining dimensions, and the shape of the tensors is given by the size of the specified dimensions in the original shape.
Recently we have been putting effort into using time series data(pattern extraction, tensors, etc.) and into the research field of heterogeneous data analysis integrated data analysis.
Recall that the tensor algebra T(V) has a natural filtration: F0⊂ F1⊂ F2⊂…, where Fk contains sums of tensors with order≤ k.
While it is useful to imagine matrices as two-dimensional planes, and 3-D tensors are cubic volumes, we store all tensors as a linear buffer.
While these examples are very simple, the tensor networks of interest often represent hundreds of tensors contracted in a variety of ways.
To overcome this difficulty, Dr. Toshiaki Iitaka(Scientist, the Computational Astrophysics Laboratory, RIKEN, Japan) and colleagues performed large-scale first-principle electron state calculations using supercomputers based on the experimental results obtained at SPring-8 to determine the elasticity tensors of perovskite and post-perovskite.
Tensor with same type and shape as initializer.
Converting a Torch Tensor to a NumPy Array.
New Tensor.
Tensor is assigned to x and y respectively.
The information_dropout_block function takes an input tensor, kernel size, number of filters, information dropout hyperparameter β\betaβ as arguments.
NVIDIA's Volta Tensor Core GPU is the world's fastest processor for AI, delivering 125 teraflops of deep learning performance with just a single chip.
Using the properties of the tensor product, it can be shown that these components satisfy the transformation law for a type(p, q) tensor.
These networks use a lot of the same type of arithmetic, which can be optimised using GPUs and Googles own Tensor Processing Unit(TPU).
This course contains the fundamentals of vector and tensor calculus, the basic equations of continuum mechanics, the tensor expressions of elastic problems and further applications.
A"Keras tensor" is a tensor that was returned by a Keras layer,(Layer class) or by Input.
For example, a number is a 0-dimensional array, or a 0th-order tensor.
The metric tensor g is symmetric, and locally reduces to the Minkowski tensor in free fall.