## Declaring Tensors

Tensors are the primary data structure that TensorFlow uses to operate on the computational graph. We can declare these tensors as variables and or feed them in as placeholders. First we must know how to create tensors.

### Getting ready

When we create a tensor and declare it to be a variable, TensorFlow creates several graph structures in our computation graph. It is also important to point out that just by creating a tensor, TensorFlow is not adding anything to the computational graph. TensorFlow does this only after creating available out of the tensor. See the next section on variables and placeholders for more information.

### How to do it…

Here we will cover the main ways to create tensors in TensorFlow:

Fixed tensors:

Create a zero filled tensor. Use the following:

zero_tsr = tf.zeros([row_dim, col_dim])

Create a one filled tensor. Use the following:

ones_tsr = tf.ones([row_dim, col_dim])

Create a constant filled tensor. Use the following:

filled_tsr = tf.fill([row_dim, col_dim], 42)

Create a tensor out of an existing constant. Use the following:

constant_tsr = tf.constant([1,2,3])

### Note

Note that the

`tf.constant()`

function can be used to broadcast a value into an array, mimicking the behavior of`tf.fill()`

by writing`tf.constant(42, [row_dim, col_dim])`

Tensors of similar shape:

We can also initialize variables based on the shape of other tensors, as follows:

zeros_similar = tf.zeros_like(constant_tsr) ones_similar = tf.ones_like(constant_tsr)

### Note

Note, that since these tensors depend on prior tensors, we must initialize them in order. Attempting to initialize all the tensors all at once willwould result in an error. See the section

*There's more…*at the end of the next chapter on variables and placeholders.Sequence tensors:

TensorFlow allows us to specify tensors that contain defined intervals. The following functions behave very similarly to the

`range()`

outputs and numpy's`linspace()`

outputs. See the following function:linear_tsr = tf.linspace(start=0, stop=1, start=3)

The resulting tensor is the sequence

`[0.0, 0.5, 1.0]`

. Note that this function includes the specified stop value. See the following function:integer_seq_tsr = tf.range(start=6, limit=15, delta=3)

The result is the sequence [6, 9, 12]. Note that this function does not include the limit value.

Random tensors:

The following generated random numbers are from a uniform distribution:

randunif_tsr = tf.random_uniform([row_dim, col_dim], minval=0, maxval=1)

Note that this random uniform distribution draws from the interval that includes the

`minval`

but not the`maxval`

(`minval`

<=`x`

<`maxval`

).To get a tensor with random draws from a normal distribution, as follows:

randnorm_tsr = tf.random_normal([row_dim, col_dim], mean=0.0, stddev=1.0)

There are also times when we wish to generate normal random values that are assured within certain bounds. The

`truncated_normal()`

function always picks normal values within two standard deviations of the specified mean. See the following:runcnorm_tsr = tf.truncated_normal([row_dim, col_dim], mean=0.0, stddev=1.0)

We might also be interested in randomizing entries of arrays. To accomplish this, there are two functions that help us:

`random_shuffle()`

and`random_crop()`

. See the following:shuffled_output = tf.random_shuffle(input_tensor) cropped_output = tf.random_crop(input_tensor, crop_size)

Later on in this book, we will be interested in randomly cropping an image of size (height, width, 3) where there are three color spectrums. To fix a dimension in the

`cropped_output`

, you must give it the maximum size in that dimension:cropped_image = tf.random_crop(my_image, [height/2, width/2, 3])

### How it works…

Once we have decided on how to create the tensors, then we may also create the corresponding variables by wrapping the tensor in the `Variable()`

function, as follows. More on this in the next section:

my_var = tf.Variable(tf.zeros([row_dim, col_dim]))

### There's more…

We are not limited to the built-in functions. We can convert any `numpy`

array to a Python list, or constant to a tensor using the function `convert_to_tensor()`

. Note that this function also accepts tensors as an input in case we wish to generalize a computation inside a function.