I'm new to learning neural networks and am trying to understand the role of tensors in them. I am trying to use some neural network libraries, but they are asking me for the dimensions. Could any one explain this concept?
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Tensors seem to have a limited definition in the machine learning community, which sees them as basically multidimensional arrays (generalizing arrays and matrices).
In general in mathematics they are a structure that must satisfy some additional properties. There are a few explanations here.

giorgiosironi
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