How to access inner dimensions of tensor? - python

The output of my conv2d function is a 4-D tensor [64, 32, 32, 64] = [batch_size, output_height, output_width, number of filters]. I want to make 3 rows on both sides, and 3 columns also on both sides to zero of output matrix. So, that's why i want to create a similar tensor (mask_tensor) of size [64, 26+3(zero_pad), 26+3 (zero_pad), 64] and multiply with original matrix. I thought of accessing [26, 26] and put zero padding on it...
How to access inner dimensions of tensor ?
import tensorflow as tf
drop_matrix = tf.constant(1, shape=[64, 26, 26, 64], dtype=tf.float32)
paddings = tf.constant([leave this dimension ,pick this dimension, pick this dimension, leave this dimension] )
t = tf.pad(drop_matrix_one_full, paddings, "CONSTANT")

You do not have to access the inner dimensions but can pad per dimension by providing a list of the size of the padding per dimension of the tensor:
>>> drop_matrix = tf.constant(1, shape=[64, 26, 26, 64], dtype=tf.float32)
>>> drop_matrix
<tf.Tensor 'Const:0' shape=(64, 26, 26, 64) dtype=float32>
>>> x = tf.pad(drop_matrix, [[0,0], [3,3], [3,3], [0,0]])
>>> x
<tf.Tensor 'Pad:0' shape=(64, 32, 32, 64) dtype=float32>
You can set the value to pad with to something using constant_values parameter, but the default is 0 so that shouldn't be necessary. For clarification, the 2 elements in each list are padding on either side of that dimension, so padding on just one side could be done by [0,3] for that dimension.
Edited example to be fitting to the situation

Try this to remove the first and last value from the array :
import tensorflow as tf
drop_matrix = tf.constant(1, shape=[64, 26, 26, 64], dtype=tf.float32)
paddings = tf.constant([leave this dimension ,pick this dimension, pick this dimension, leave this dimension][1:-1] )
t = tf.pad(drop_matrix_one_full, paddings, "CONSTANT")
By adding [1:-1] as accessors to your array, you will return an array without the first and last element, effectively accessing the middle values.

Related

How can I convert a tensor with the shape of [1, 3, 64, 64] to [1, 4, 64, 64] with the newly added layer being the same as the previous?

I have a PyTorch tensor with the shape of [1, 3, 64, 64], and I want to convert it to the shape [1, 4, 64, 64] while setting the value of the newly added layer to be the same as the previous layer in the same dimension (eg newtensor[0][3] = oldtensor[0][2])
Note that my tensor has requires_grad=True, so I cannot use resize_()
How can I do this?
Get a slice from the old tensor, and concatenate it to the new tensor along dimension 1.
tslice = old[:,-1:,:,:]
new = torch.cat((old,tslice), dim = 1)
This will work perfectly. #DerekG code had an error in -1, but his idea is correct.
tensor is your tensor data.
new = torch.cat((tensor, tensor[:, 0:1, :, :]), dim=1)

How to concatenate a list of tensors on a specific axis?

I have a list (my_list) of tensors all with the same shape. I want to concatenate them on the channel axis.
Helping code
for i in my_list:
print(i.shape) #[1, 3, 128, 128] => [batch, channel, width, height]
I would like to get a new tensor i.e. new_tensor = [1, 3*len(my_list), width, height]
I don't want to use torch.stack() to add a new dimension. And i am unable to figure out how can I use torch.cat() to do this?
Given a example list containing 10 tensors shaped (1, 3, 128, 128):
>>> my_list = [torch.rand(1, 3, 128, 128) for _ in range(10)]
You are looking to concatenate your tensors on axis=1 because the 2nd dimension is where the tensor to concatenate together. You can do so using torch.cat:
>>> res = torch.cat(my_list, axis=1)
>>> res.shape
torch.Size([1, 30, 128, 128])
This is actually equivalent to stacking your tensor in my_list vertically, i.e. by using torch.vstack:
>>> res = torch.vstack(my_list)

how to concatenate multiple 2dim tensors vertically into one in tensorflow?

I am wondering how should we concatenate multiple tensors with different shapes into one tensor in keras. I tried tf.keras.layers.concatenate for that as follow:
import tensorflow as tf
from tf.keras.layers import concatenate
print(tensor_1.shape)
print(tensor_2.shape)
new_tensor = concatenate([tensor_1, tensor_2],axis=1)
new_tensor
but I got the following value error:
shape of tensor_1 (?, 30, 30, 128)
shape of tensor_2 (?, 26, 26, 128)
---------------------------------------------------------------------------
ValueError Traceback (most recent call last)
<ipython-input-24-96d471a8e99e> in <module>()
----> 1 concatenate([tensor_1, tensor_2], axis=1)
4 frames
/usr/local/lib/python3.6/dist-packages/tensorflow/python/keras/layers/merge.py in build(self, input_shape)
517 shape[axis] for shape in shape_set if shape[axis] is not None)
518 if len(unique_dims) > 1:
--> 519 raise ValueError(err_msg)
520
521 def _merge_function(self, inputs):
ValueError: A `Concatenate` layer requires inputs with matching shapes except for the concat axis. Got inputs shapes: [(None, 30, 30, 128), (None, 26, 26, 128)]
I think in Conv1D, concatenation is simple, in Conv2D, it is not known to me how to make concatenation. Does anyone know how to do this in keras? any idea?
update:
I also tried to treat each tensor as matrix and tried to concatenate them:
tf.concat(0, [[tensor_1], [tensor_2]])
but still, I ended up with a similar value error as follow:
ValueError: Dimension 2 in both shapes must be equal, but are 30 and
26. Shapes are [1,?,30,30,128] and [1,?,26,26,128]. From merging shape 0 with other shapes. for '{{node concat/concat_dim}} = Pack[N=2,
T=DT_INT32, axis=0](concat/concat_dim/0, concat/concat_dim/1)' with
input shapes: [1,?,30,30,128], [1,?,26,26,128].
desired output
I am not sure how multiple tensor can be concatenated, so I am okay with output as tensor with shape of (W, H, C). How should we do this in keras? any idea?
You can concatenate two tensors only when they have the same shapes but for axis along which concatenating.
x = np.arange(20).reshape(2, 2, 5)
y = np.arange(20, 30).reshape(2, 1, 5)
tf.keras.layers.concatenate([x, y], axis=1) # (2, 3, 5)
tf.keras.layers.concatenate
I recommend you rethink whole network so that you don't bother about two different shape tensors. If you can't, I'd say you
crop
x = np.arange(2*30*30*128).reshape(2, 30, 30, 128)
y = np.arange(2*26*26*128).reshape(2, 26, 26, 128)
x2 = tf.keras.layers.Cropping2D(cropping=((0, 0), (2, 2)))(x)
tf.keras.layers.concatenate([x2, y], axis=1) # (2, 56, 26, 128)
tf.keras.layers.Cropping2D
zeropad
x = np.arange(2*30*30*128).reshape(2, 30, 30, 128)
y = np.arange(2*26*26*128).reshape(2, 26, 26, 128)
y = tf.keras.layers.ZeroPadding2D(padding=((0, 0), (2, 2)))(y)
tf.keras.layers.concatenate([x, y2], axis=1) # (2, 56, 30, 128)
tf.keras.layers.ZeroPadding2D
Note: tf.keras.layers.concatenate and tf.keras.layers.Conatenate, which inherits from tf.keras.layers.Layer are different.

any way to rescale and stack features maps with different shape in tensorflow?

I intend to use the concepts of skip connection in my experiment. Basically, in my pipeline, features maps that comes after Conv2D are going to be stacked or concatenated. But, features maps are in different shape and try to stack them together into one tensor gave me error. Does anyone knows any possible way of doing this correctly in tensorflow? Any thoughts or ideas to make this happen? Thanks
idea flowchart
here is the pipeline flowchart I want to do it:
my case is little different because I got extra building block is used after Conv2D and its output now is feature maps of 15x15x64 and so on. I want to stack those features map into one then use it to Conv2D again.
my attempt:
this is my reproducible attempt:
import tensorflow as tf
from tensorflow.keras.layers import Dense, Dropout, Activation, Conv2D, Flatten, MaxPool2D, BatchNormalization
inputs = tf.keras.Input(shape=(32, 32, 3))
x = inputs
x = Conv2D(32, (3, 3), input_shape=(32,32,3))(x)
x = BatchNormalization(axis=-1)(x)
x = Activation('relu')(x)
fm1 = MaxPooling2D(pool_size=(2,2))(x)
x = Conv2D(32,(3, 3), input_shape=(15,15,32))(fm1)
x = BatchNormalization(axis=-1)(x)
x = Activation('relu')(x)
fm2 = MaxPooling2D(pool_size=(2,2))(x)
concatted = tf.keras.layers.Concatenate(axis=1)([fm1, fm2])
but this way I ended up with following error: ValueError: A Concatenate layer requires inputs with matching shapes except for the concat axis. Got inputs shapes: [(None, 15, 15, 32), (None, 6, 6, 32)]. I am not sure what would be correct way to stack features maps with different shape. How can we make this right? Any possible thoughts?
desired output
in my actual model, I got shape of features maps are TensorShape([None, 15, 15, 128]) and TensorShape([None, 6, 6, 128]). I need to find way to merge them or stack them into one. Ideally, shape of concatenated or stacked feature maps' shape would be: [None, 21,21,128]. Is there any way of stacking them into one? Any idea?
What you're trying to achieve doesn't work mathematically. Let me illustrate. Take the simple 1D problem (like 1D convolution). You have a (None, 64, 128) (fm1) sized output and a (None, 32, 128) (fm2) output that you want to concatenate. Then,
concatted = tf.keras.layers.Concatenate(axis=1)([fm1, fm2])
works totally fine, giving you an output of size (None, 96, 128).
Let's come to the 2D problem. Now you got two tensors (None, 15, 15, 128) and (None, 6, 6, 128) and want to end up with a (None, 21, 21, 128) sized output. Well the math doesn't work here. To understand why, reduce this to 1D format. Then you got
fm1 -> (None, 225, 128)
fm2 -> (None, 36, 128)
By concat you get,
concatted -> (None, 261, 128)
If the math works you should get (None, 441, 128) which is reshape-able to (None, 21, 21, 128). So this cannot be achieved unless you pad the edges of the smaller with 441-261 = 180 on the reshaped tensor. And then reshape it to the desired shape. Following is an example of how you can do it,
concatted = tf.keras.layers.Lambda(
lambda x: K.reshape(
K.concatenate(
[K.reshape(x[0], (-1, 225, 128)),
tf.pad(
K.reshape(x[1], (-1, 36, 128)), [(0,0), (0, 180), (0,0)]
)
], axis=1
), (-1, 21, 21, 128))
)([fm1, fm2])
Important: But I can't guaranttee the performance of your model this just solves your problem mathematically. In a machine learning perspective, I wouldn't advice this. Best way would be making sure the outputs are compatible in sizes for concatenation. Few ways would be,
Not reduce the size of convolution outputs (stride = 0 and padding='same')
Use transpose convolution operation to size-up the smaller one

Input image data to tensorflow placeholder

I'm working with the keras.datasets.fashion_mnist dataset, which contains 28 x 28 grayscale images. I've built a pretty simple convolutional neural network that accepts a placeholder of images defined as:
X = tf.placeholder(tf.float32, [None, 28, 28, INPUT_CHANNELS], name='X_placeholder')
I'm starting out with a <type 'numpy.ndarray'> of shape (100, 28, 28). 100 here represents the batch size that I've chosen to train with.
Obviously, the dimensionality doesn't line up here. The graph I've built should work with RGB images as well, hence the INPUT_CHANNEL dimension. As expected, when I try to train, I get the following error:
ValueError: Cannot feed value of shape (100, 28, 28) for Tensor u'X_placeholder:0', which has shape '(?, 28, 28, 1)'
Being relatively new to TF and numpy, I'm failing to see how to add in that extra dimension. Having pieced together my code from various sources, I can't say that I chose the placeholder input shape [None, 28, 28, INPUT_CHANNELS], but I want to stick with it instead of trying to work around it.
Question
How can I reshape my training data to match the expected placeholder dimensionality?
In numpy:
You can use np.newaxis,np.expand_dims and reshape() to add dimension.
import numpy as np
train_data = np.random.normal(size=(100,28,28))
print(train_data.shape)
new_a = train_data[...,np.newaxis]
print(new_a.shape)
new_a = np.expand_dims(train_data,axis=-1)
print(new_a.shape)
new_a = train_data.reshape(100,28,28,1)
print(new_a.shape)
(100, 28, 28)
(100, 28, 28, 1)
(100, 28, 28, 1)
(100, 28, 28, 1)
In tensorflow:
You can use tf.newaxis,tf.expand_dims and tf.reshape to add dimension.
import tensorflow as tf
train_data = tf.placeholder(shape=(None,28,28),dtype=tf.float64)
print(train_data.shape)
new_a = train_data[...,tf.newaxis]
print(new_a.shape)
new_a = tf.reshape(train_data,shape=(-1,28,28,1))
print(new_a.shape)
new_a = tf.expand_dims(train_data,axis=-1)
print(new_a.shape)
(?, 28, 28)
(?, 28, 28, 1)
(?, 28, 28, 1)
(?, 28, 28, 1)

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