How to concatenate two tensors with intervals in tensorflow? - tensorflow

I want to concatenate two tensors checkerboard-ly in tensorflow2, like examples showed below:
example 1:
a = [[1,1],[1,1]]
b = [[0,0],[0,0]]
concated_a_and_b = [[1,0,1,0],[0,1,0,1]]
example 2:
a = [[1,1,1],[1,1,1],[1,1,1]]
b = [[0,0,0],[0,0,0],[0,0,0]]
concated_a_and_b = [[1,0,1,0,1,0],[0,1,0,1,0,1],[1,0,1,0,1,0]]
Is there a decent way in tensorflow2 to concatenate them like this?
A bit of background for this:
I first split a tensor c with a checkerboard mask into two halves a and b. A after some transformation I have to concat them back into oringnal shape and order.
What I mean by checkerboard-ly:

Step 1: Generate a matrix with alternated values
You can do this by first concatenating into [1, 0] pairs, and then by applying a final reshape.
Step 2: Reverse some rows
I split the matrix into two parts, reverse the second part and then rebuild the full matrix by picking alternatively from the first and second part
Code sample:
import math
import numpy as np
import tensorflow as tf
a = tf.ones(shape=(3, 4))
b = tf.zeros(shape=(3, 4))
x = tf.expand_dims(a, axis=-1)
y = tf.expand_dims(b, axis=-1)
paired_ones_zeros = tf.concat([x, y], axis=-1)
alternated_values = tf.reshape(paired_ones_zeros, [-1, a.shape[1] + b.shape[1]])
num_samples = alternated_values.shape[0]
middle = math.ceil(num_samples / 2)
is_num_samples_odd = middle * 2 != num_samples
# Gather first part of the matrix, don't do anything to it
first_elements = tf.gather_nd(alternated_values, [[index] for index in range(middle)])
# Gather second part of the matrix and reverse its elements
second_elements = tf.reverse(tf.gather_nd(alternated_values, [[index] for index in range(middle, num_samples)]), axis=[1])
# Pick alternatively between first and second part of the matrix
indices = np.concatenate([[[index], [index + middle]] for index in range(middle)], axis=0)
if is_num_samples_odd:
indices = indices[:-1]
output = tf.gather_nd(
tf.concat([first_elements, second_elements], axis=0),
indices
)
print(output)

I know this is not a decent way as it will affect time and space complexity. But it solves the above problem
def concat(tf1, tf2):
result = []
for (index, (tf_item1, tf_item2)) in enumerate(zip(tf1, tf2)):
item = []
for (subitem1, subitem2) in zip(tf_item1, tf_item2):
if index % 2 == 0:
item.append(subitem1)
item.append(subitem2)
else:
item.append(subitem2)
item.append(subitem1)
concated_a_and_b.append(item)
return concated_a_and_b

Related

Tensorflow, how to implement sorting layer

I'm trying to have a layer in keras that takes a flat tensor x (doesn't have zero value in it and shape = (batch_size, units)) multiplied by a mask (of the same shape), and it will sort it in the way that masked values will be placed first in the output (the order of the elements value doesn't matter). For clarity here is an example (batch_size = 1, units = 8):
It seems simple but the problem is that I can't find a good solution. Any code or idea is appreciated.
My current code is as below, If you know a more efficient way please let me know.
class Sort(keras.layers.Layer):
def call(self, inputs):
x = inputs.numpy()
nonx, nony = x.nonzero() # idxs of nonzero elements
zero = [np.where(x == 0)[0][0], np.where(x == 0)[1][0]] # idx of first zero
x_shape = tf.shape(inputs)
result = np.zeros((x_shape[0], x_shape[1], 2), dtype = 'int') # mapping matrix
result[:, :, 0] += zero[0]
result[:, :, 1] += zero[1]
p = np.zeros((x_shape[0]), dtype = 'int')
for i, j in zip(nonx, nony):
result[i, p[i]] = [i, j]
p[i] += 1
y = tf.gather_nd(inputs, result)
return y

Randomly select items from two equally sized tensors

Assume that we have two equally sized tensors of size batch_size * 1. For each index in the batch dimension we want to choose randomly between the two tensors. My solution was to create an indices tensor that contains random 0 or 1 indices of size batch_size and use those to index_select from the concatenation of the two tensors. However, to do so I had the "view" that cat tensor and the solution ended up to be quite "ugly":
import torch
bs = 8
a = torch.zeros(bs, 1)
print("a size", a.size())
b = torch.ones(bs, 1)
c = torch.cat([a, b], dim=-1)
print(c)
print("c size", c.size())
# create bs number of random 0 and 1's
indices = torch.randint(0, 2, [bs])
print("idxs size", indices.size())
print("idxs", indices)
# use `indices` to slice the `cat`ted tensor
d = c.view(1, -1).index_select(-1, indices).view(-1, 1)
print("d size", d.size())
print(d)
I am wondering whether there is a prettier and, more importantly, more efficient solution.
Posting two answers that I got over at the PyTorch forums
import torch
bs = 8
a = torch.zeros(bs, 1)
b = torch.ones(bs, 1)
c = torch.cat([a, b], dim=-1)
choices_flat = c.view(-1)
# index = torch.randint(choices_flat.numel(), (bs,))
# or if replace = False
index = torch.randperm(choices_flat.numel())[:bs]
select = choices_flat[index]
print(select)
import torch
bs = 8
a = torch.zeros(bs, 1)
print("a size", a.size())
b = torch.ones(bs, 1)
idx = torch.randint(2 * bs, (bs,))
d = torch.cat([a, b])[idx] # [bs, 1]

How to show the class distribution in Dataset object in Tensorflow

I am working on a multi-class classification task using my own images.
filenames = [] # a list of filenames
labels = [] # a list of labels corresponding to the filenames
full_ds = tf.data.Dataset.from_tensor_slices((filenames, labels))
This full dataset will be shuffled and split into train, valid and test dataset
full_ds_size = len(filenames)
full_ds = full_ds.shuffle(buffer_size=full_ds_size*2, seed=128) # seed is used for reproducibility
train_ds_size = int(0.64 * full_ds_size)
valid_ds_size = int(0.16 * full_ds_size)
train_ds = full_ds.take(train_ds_size)
remaining = full_ds.skip(train_ds_size)
valid_ds = remaining.take(valid_ds_size)
test_ds = remaining.skip(valid_ds_size)
Now I am struggling to understand how each class is distributed in train_ds, valid_ds and test_ds. An ugly solution is to iterate all the element in the dataset and count the occurrence of each class. Is there any better way to solve it?
My ugly solution:
def get_class_distribution(dataset):
class_distribution = {}
for element in dataset.as_numpy_iterator():
label = element[1]
if label in class_distribution.keys():
class_distribution[label] += 1
else:
class_distribution[label] = 0
# sort dict by key
class_distribution = collections.OrderedDict(sorted(class_distribution.items()))
return class_distribution
train_ds_class_dist = get_class_distribution(train_ds)
valid_ds_class_dist = get_class_distribution(valid_ds)
test_ds_class_dist = get_class_distribution(test_ds)
print(train_ds_class_dist)
print(valid_ds_class_dist)
print(test_ds_class_dist)
The answer below assumes:
there are five classes.
labels are integers from 0 to 4.
It can be modified to suit your needs.
Define a counter function:
def count_class(counts, batch, num_classes=5):
labels = batch['label']
for i in range(num_classes):
cc = tf.cast(labels == i, tf.int32)
counts[i] += tf.reduce_sum(cc)
return counts
Use the reduce operation:
initial_state = dict((i, 0) for i in range(5))
counts = train_ds.reduce(initial_state=initial_state,
reduce_func=count_class)
print([(k, v.numpy()) for k, v in counts.items()])
A solution inspired by user650654 's answer, only using TensorFlow primitives (with tf.unique_with_counts instead of for loop):
In theory, this should have better performance and scale better to large datasets, batches or class count.
num_classes = 5
#tf.function
def count_class(counts, batch):
y, _, c = tf.unique_with_counts(batch[1])
return tf.tensor_scatter_nd_add(counts, tf.expand_dims(y, axis=1), c)
counts = train_ds.reduce(
initial_state=tf.zeros(num_classes, tf.int32),
reduce_func=count_class)
print(counts.numpy())
Similar and simpler version with numpy that actually had better performances for my simple use-case:
count = np.zeros(num_classes, dtype=np.int32)
for _, labels in train_ds:
y, _, c = tf.unique_with_counts(labels)
count[y.numpy()] += c.numpy()
print(count)

Row-wise Histogram

Given a 2-dimensional tensor t, what's the fastest way to compute a tensor h where
h[i, :] = tf.histogram_fixed_width(t[i, :], vals, nbins)
I.e. where tf.histogram_fixed_width is called per row of the input tensor t?
It seems that tf.histogram_fixed_width is missing an axis parameter that works like, e.g., tf.reduce_sum's axis parameter.
tf.histogram_fixed_width works on the entire tensor indeed. You have to loop through the rows explicitly to compute the per-row histograms. Here is a complete working example using TensorFlow's tf.while_loop construct :
import tensorflow as tf
t = tf.random_uniform([2, 2])
i = 0
hist = tf.constant(0, shape=[0, 5], dtype=tf.int32)
def loop_body(i, hist):
h = tf.histogram_fixed_width(t[i, :], [0.0, 1.0], nbins=5)
return i+1, tf.concat_v2([hist, tf.expand_dims(h, 0)], axis=0)
i, hist = tf.while_loop(
lambda i, _: i < 2, loop_body, [i, hist],
shape_invariants=[tf.TensorShape([]), tf.TensorShape([None, 5])])
sess = tf.InteractiveSession()
print(hist.eval())
Inspired by keveman's answer and because the number of rows of t is fixed and rather small, I chose to use a combination of tf.gather to split rows and tf.pack to join rows. It looks simple and works, will see if it is efficient...
t_histo_rows = [
tf.histogram_fixed_width(
tf.gather(t, [row]),
vals, nbins)
for row in range(t_num_rows)]
t_histo = tf.pack(t_histo_rows, axis=0)
I would like to propose another implementation.
This implementation can also handle multi axes and unknown dimensions (batching).
def histogram(tensor, nbins=10, axis=None):
value_range = [tf.reduce_min(tensor), tf.reduce_max(tensor)]
if axis is None:
return tf.histogram_fixed_width(tensor, value_range, nbins=nbins)
else:
if not hasattr(axis, "__len__"):
axis = [axis]
other_axis = [x for x in range(0, len(tensor.shape)) if x not in axis]
swap = tf.transpose(tensor, [*other_axis, *axis])
flat = tf.reshape(swap, [-1, *np.take(tensor.shape.as_list(), axis)])
count = tf.map_fn(lambda x: tf.histogram_fixed_width(x, value_range, nbins=nbins), flat, dtype=(tf.int32))
return tf.reshape(count, [*np.take([-1 if a is None else a for a in tensor.shape.as_list()], other_axis), nbins])
The only slow part here is tf.map_fn but it is still faster than the other solutions mentioned.
If someone knows a even faster implementation please comment since this operation is still very expensive.
answers above is still slow running in GPU. Here i give an another option, which is faster(at least in my running envirment), but it is limited to 0~1 (you can normalize the value first). the train_equal_mask_nbin can be defined once in advance
def histogram_v3_nomask(tensor, nbins, row_num, col_num):
#init mask
equal_mask_list = []
for i in range(nbins):
equal_mask_list.append(tf.ones([row_num, col_num], dtype=tf.int32) * i)
#[nbins, row, col]
#[0, row, col] is tensor of shape [row, col] with all value 0
#[1, row, col] is tensor of shape [row, col] with all value 1
#....
train_equal_mask_nbin = tf.stack(equal_mask_list, axis=0)
#[inst, doc_len] float to int(equaly seg float in bins)
int_input = tf.cast(tensor * (nbins), dtype=tf.int32)
#input [row,col] -> copy N times, [nbins, row_num, col_num]
int_input_nbin_copy = tf.reshape(tf.tile(int_input, [nbins, 1]), [nbins, row_num, col_num])
#calculate histogram
histogram = tf.transpose(tf.count_nonzero(tf.equal(train_equal_mask_nbin, int_input_nbin_copy), axis=2))
return histogram
With the advent of tf.math.bincount, I believe the problem has become much simpler.
Something like this should work:
def hist_fixed_width(x,st,en,nbins):
x=(x-st)/(en-st)
x=tf.cast(x*nbins,dtype=tf.int32)
x=tf.clip_by_value(x,0,nbins-1)
return tf.math.bincount(x,minlength=nbins,axis=-1)

How can I make a greyscale copy of a Surface in pygame?

In pygame, I have a surface:
im = pygame.image.load('foo.png').convert_alpha()
im = pygame.transform.scale(im, (64, 64))
How can I get a grayscale copy of the image, or convert the image data to grayscale? I have numpy.
Use a Surfarray, and filter it with numpy or Numeric:
def grayscale(self, img):
arr = pygame.surfarray.array3d(img)
#luminosity filter
avgs = [[(r*0.298 + g*0.587 + b*0.114) for (r,g,b) in col] for col in arr]
arr = numpy.array([[[avg,avg,avg] for avg in col] for col in avgs])
return pygame.surfarray.make_surface(arr)
After a lot of research, I came up with this solution, because answers to this question were too slow for what I wanted this feature to:
def greyscale(surface: pygame.Surface):
start = time.time() # delete me!
arr = pygame.surfarray.array3d(surface)
# calulates the avg of the "rgb" values, this reduces the dim by 1
mean_arr = np.mean(arr, axis=2)
# restores the dimension from 2 to 3
mean_arr3d = mean_arr[..., np.newaxis]
# repeat the avg value obtained before over the axis 2
new_arr = np.repeat(mean_arr3d[:, :, :], 3, axis=2)
diff = time.time() - start # delete me!
# return the new surface
return pygame.surfarray.make_surface(new_arr)
I used time.time() to calculate the time cost for this approach, so for a (800, 600, 3) array it takes: 0.026769161224365234 s to run.
As you pointed out, here is a variant preserving the luminiscence:
def greyscale(surface: pygame.Surface):
arr = pygame.surfarray.pixels3d(surface)
mean_arr = np.dot(arr[:,:,:], [0.216, 0.587, 0.144])
mean_arr3d = mean_arr[..., np.newaxis]
new_arr = np.repeat(mean_arr3d[:, :, :], 3, axis=2)
return pygame.surfarray.make_surface(new_arr)
The easiest way is to iterate over all the pixels in your image and call .get_at(...) and .set_at(...).
This will be pretty slow, so in answer to your implicit suggestion about using NumPy, look at http://www.pygame.org/docs/tut/surfarray/SurfarrayIntro.html. The concepts and most of the code are identical.