A pratical programming Tensor concept

[davidemicheletti]

Thinking that I understand what a scalar, vector, and matrix are, or I think so :D .
Is it correct to say that a tensor that has more than 2 dimensions is a vector of matrices (or a matrix of matrices)?
Going deeper, can we say that tensor's number of dimensions depends on how many vectors are the "parent"?

Example
`
import tensorflow as tf
t_dim3 = tf.constant([ # 1st 'parent'
[[1, 2, 3],
[4, 5, 6]],
[[7, 8, 9],
[10, 11, 12]],
[[13, 14, 15],
[16, 17, 18]]
])

t_dim3.ndim # expected result is 3

t_dim4 = tf.constant([ # 1st 'parent'
[ # 2nd 'parent'
[[1, 2, 3],
[4, 5, 6]],
[[7, 8, 9],
[10, 11, 12]],
[[13, 14, 15],
[16, 17, 18]]
],[ # we can add child ofc
[[19, 20, 21],
[22, 23, 24]],
[[24, 25, 27],
[28, 29, 30]],
[[31, 32, 33],
[34, 35, 36]]
]
])

t_dim4.ndim # expected result is 4
`

[AIWithShrey]

That sounds about right, but the standard definition of a Tensor is that it is a multidimensional array, which is extremely difficult to visualise when the dimension is greater than 3. Your example is a good representation of a multidimensional array. If I’m not mistaken, tf.constant() is equivalent to numpy’s np.ndarray(), where n represents the number of dimensions.

On Fri, Jul 29, 2022 at 2:08 PM davidemicheletti ***@***.***> wrote: Thinking that i understand what a scalar, vector, and matrix are. Is it correct to say that a tensor is a vector of matrices (or a matrix of matrices)? Going deeper, can we say that tensor's number of dimensions depends on how many vectors are the "parent"? Example ` import tensorflow as tf t_dim3 = tf.constant([ # 1st 'parent' [[1, 2, 3], [4, 5, 6]], [[7, 8, 9], [10, 11, 12]], [[13, 14, 15], [16, 17, 18]] ]) t_dim3.ndim # expected result is 3 t_dim4 = tf.constant([ # 1st 'parent' [ # 2nd 'parent' [[1, 2, 3], [4, 5, 6]], [[7, 8, 9], [10, 11, 12]], [[13, 14, 15], [16, 17, 18]] ],[ # we can add child ofc [[19, 20, 21], [22, 23, 24]], [[24, 25, 27], [28, 29, 30]], [[31, 32, 33], [34, 35, 36]] ] ]) t_dim4.ndim # expected result is 4 ` — Reply to this email directly, view it on GitHub <#422>, or unsubscribe <https://github.com/notifications/unsubscribe-auth/AF2IW5SQHBCJYSSPSL4KA63VWOJ7TANCNFSM5477B6GA> . You are receiving this because you are subscribed to this thread.Message ID: ***@***.***>

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