CNTK Providing final LSTM state as input to another LSTM - deep-learning

I'm trying to build the following architecture:
Embeddings -> Forward LSTM -> Backward LSTM -> Concat Final States -> Concat external embedding -> LSTM
My code looks like this:
i = Input(features)
e = Embedding(25)(i)
# Forward and backward LSTM
h_f = Recurrence(LSTM(25), go_backwards=False)(e)
h_b = Recurrence(LSTM(25), go_backwards=True)(e)
# Get the final states and splice
f = sequence.last(h_f)
b = sequence.first(h_b)
e1 = splice(f, b)
# Get the other embedding and concat
i2 = Input(100)
e2 = Embedding(100)(i2)
e2 = sequence.first(word_embedding)
e3 = splice(e1, e2)
# Input concatenated embedding to new LSTM
r = Recurrence(LSTM(50))(e3)
When I do this I get the following error:
Input operand 'Output('Block1994_Output_0', [#], [50])' with #dynamic axes != 2 (1 sequence axis and 1 batch axis) is not supported.
If I do not get the final state of my first bidirectional LSTM then it works fine, but that's not what I want.
I can also reproduce the error with this simple example:
i = Input(features)
e = Embedding(25)(i)
h_f = Fold(LSTM(25), go_backwards=False)(e)
s = Recurrence(LSTM(25))(h_f)

check this link about returning output sequences and states of an LSTM. Then, you can bind the output to the input of another layer.

Related

Merging two MLP models that use different datasets but the same target value

I have two datasets with the same target attribute. I designed two MLPs for them. I need to merge them. desired network
I have two datasets with the same target attribute. I designed two MLPs for them. My MLP is like the below:
def MLP(input_shape, neurons_in_layers, activations, classes):
X = Input(input_shape)
i = 0
while i < len(neurons_in_layers):
X = Dense(neurons_in_layers[i])(X)
X = Activation(activations[i])(X)
i += 1
X = Dense(classes)(X)
X = Activation('softmax')(X)
return X
Examples of hyperparameters are:
n_rows_nume, n_columns_nume = dataset_nume.shape
n_rows_cate, n_columns_cate = dataset_cate.shape
target_index_nume = dataset_nume.columns.get_loc("Task")
target_index_cate = dataset_cate.columns.get_loc("Task")
As a result, I created two networks and merged them as below:
module_nume = MLP(input_shape_nume, neurons_nume, activations_nume, n_classes)
module_cate = MLP(input_shape_cate, neurons_cate, activations_cate, n_classes)
merged = average([module_nume, module_cate])
merged_model = Model(inputs = [Input(input_shape_nume), Input(input_shape_cate)], outputs = merged)
But it gives me an error:
ValueError: Graph disconnected: cannot obtain value for tensor KerasTensor(type_spec=TensorSpec(shape=(None, 12), dtype=tf.float32, name='input_2'), name='input_2', description="created by layer 'input_2'") at layer "dense_5". The following previous layers were accessed without issue: []

PyTorch: Multi-class segmentation loss value != 0 when using target image as the prediction

I was performing semantic segmentation using PyTorch. There are a total of 103 different classes in the dataset and the targets are RGB images with only the Red channel containing the labels. I was using nn.CrossEntropyLoss as my loss function. For sanity, I wanted to check if using nn.CrossEntropyLoss is correct for this problem and whether it has the expected behaviour
I pick a random mask from my dataset and create a categorical version of it using this custom transform
class ToCategorical:
def __init__(self, n_classes: int) -> None:
self.n_classes = n_classes
def __call__(self, sample: torch.Tensor):
mask = sample.permute(1, 2, 0)
categories = torch.unique(mask).tolist()[1:] # get all categories other than 0
# build a tensor with `n_classes` channels
one_hot_image = torch.zeros(self.n_classes, *mask.shape[:-1])
for category in categories:
# get spacial locs where the categ is present
rows, cols, _ = torch.where(mask == category)
# in same spacial loc but in `categ` channel fill 1
one_hot_image[category, rows, cols] = 1
return one_hot_image
And then I send this image as the output (prediction) and use the ground truth mask as the target to the loss function.
import torch.nn as nn
mask = T.PILToTensor()(Image.open("path_to_image").convert("RGB"))
categorical_mask = ToCategorical(103)(mask).unsqueeze(0)
mask = mask[0].unsqueeze(0) # get only the red channel, add fake batch_dim
loss_fn = nn.CrossEntropyLoss()
target = mask
output = categorical_mask
print(output.shape, target.shape)
print(loss_fn(output, target.to(torch.long)))
I expected the loss to be zero but to my surprise, the output is as follows
torch.Size([1, 103, 600, 800]) torch.Size([1, 600, 800])
tensor(4.2836)
I verified with other samples in the dataset and I obtained similar values for other masks as well. Am I doing something wrong? I expect the loss to be = 0 when the output is the same as the target.
PS. I also know that nn.CrossEntropyLoss is the same as using log_softmax followed by nn.NLLLoss() but even I obtained the same value by using nllloss as well
For Reference
Dataset used: UECFoodPixComplete
I would like to adress this:
I expect the loss to be = 0 when the output is the same as the target.
If the prediction matches the target, i.e. the prediction corresponds to a one-hot-encoding of the labels contained in the dense target tensor, but the loss itself is not supposed to equal to zero. Actually, it can never be equal to zero because the nn.CrossEntropyLoss function is always positive by definition.
Let us take a minimal example with number of #C classes and a target y_pred and a prediction y_pred consisting of prefect predictions:
As a quick reminder:
The softmax is applied on the logits (q_i) as p_i = log(exp(q_i)/sum_j(exp(q_j)):
>>> p = F.softmax(y_pred, 1)
Similarly if you are using the log-softmax, defined as logp_i = log(p_i):
>>> logp = F.log_softmax(y_pred, 1)
Then comes the negative likelihood function computed between x the input and y the target: -y*x. In association with the softmax, it comes down to -y*p, or -y*logp respectively. In any case, whether you apply the log or not, only the predictions corresponding to the true classes will remain since the others ones are zeroed-out.
That being said, applying the NLLLoss on y_pred would indeed result with a 0 as you expected in your question. However, here we apply it on the probability distribution or log-probability: p, or logp respectively!
In our specific case, p_i = 1 for the true class and p_i = 0 for all other classes (there are #C - 1 of those). This means the softmax of the logit associated with the true class will equal to exp(1)/sum_i(p_i). And since sum_i(p_i) = (#C-1)*exp(0) + exp(1). We therefore have:
softmax(p) = e / (#C - 1 + e)
Similarly for log-softmax:
log-softmax(p) = log(e / (#C-1 + e)) = 1 - log(#C - 1 + e)
If we proceed by applying the negative likelihood function we simply get cross-entropy(y_pred, y_true) = (nllloss o log-softmax)(y_pred, y_true). This results in:
loss = - (1 - log(#C - 1 + e)) = log(#C - 1 + e) - 1
This effectively corresponds to the minimum of the nn.CrossEntropyLoss function.
Regarding your specific case where #C = 103, you may have an issue in your code... since the average loss should equal to log(102 + e) - 1 i.e. around 3.65.
>>> y_true = torch.randint(0,103,(1,1,2,5))
>>> y_pred = torch.zeros(1,103,2,5).scatter(1, y_true, value=1)
You can see for yourself with one of the provided methods:
the builtin function nn.functional.cross_entropy:
>>> F.cross_entropy(y_pred, y_true[:,0])
tensor(3.6513)
manually computing the quantity:
>>> logp = F.log_softmax(y_pred, 1)
>>> -logp.gather(1, y_true).mean()
tensor(3.6513)
analytical result:
>>> log(102 + e) - 1
3.6513

How do i measure perplexity scores on a LDA model made with the textmineR package in R?

I've made a LDA topic model in R, using the textmineR package, it looks as follows.
## get textmineR dtm
dtm2 <- CreateDtm(doc_vec = dat2$fulltext, # character vector of documents
ngram_window = c(1, 2),
doc_names = dat2$names,
stopword_vec = c(stopwords::stopwords("da"), custom_stopwords),
lower = T, # lowercase - this is the default value
remove_punctuation = T, # punctuation - this is the default
remove_numbers = T, # numbers - this is the default
verbose = T,
cpus = 4)
dtm2 <- dtm2[, colSums(dtm2) > 2]
dtm2 <- dtm2[, str_length(colnames(dtm2)) > 2]
############################################################
## RUN & EXAMINE TOPIC MODEL
############################################################
# Draw quasi-random sample from the pc
set.seed(34838)
model2 <- FitLdaModel(dtm = dtm2,
k = 8,
iterations = 500,
burnin = 200,
alpha = 0.1,
beta = 0.05,
optimize_alpha = TRUE,
calc_likelihood = TRUE,
calc_coherence = TRUE,
calc_r2 = TRUE,
cpus = 4)
The questions are then:
1. Which function should i apply to get the perplexity scores in the textmineR package? I can't seem to find one.
2. how do i measure complexity scores for different numbers of topics(k)?
As asked: there's no way to calculate perplexity with textmineR unless you explicitly program it yourself. TBH, I've never seen value of perplexity that you couldn't get with likelihood and coherence, so I didn't implement it.
However, the text2vec package does have an implementation. See below for example:
library(textmineR)
# model ships with textmineR as example
m <- nih_sample_topic_model
# dtm ships with textmineR as example
d <- nih_sample_dtm
# get perplexity
p <- text2vec::perplexity(X = d,
topic_word_distribution = m$phi,
doc_topic_distribution = m$theta)

How do I get CSV files into an Estimator in Tensorflow 1.6

I am new to tensorflow (and my first question in StackOverflow)
As a learning tool, I am trying to do something simple. (4 days later I am still confused)
I have one CSV file with 36 columns (3500 records) with 0s and 1s.
I am envisioning this file as a flattened 6x6 matrix.
I have another CSV file with 1 columnn of ground truth 0 or 1 (3500 records) which indicates if at least 4 of the 6 of elements in the 6x6 matrix's diagonal are 1's.
I am not sure I have processed the CSV files correctly.
I am confused as to how I create the features dictionary and Labels and how that fits into the DNNClassifier
I am using TensorFlow 1.6, Python 3.6
Below is the small amount of code I have so far.
import tensorflow as tf
import os
def x_map(line):
rDefaults = [[] for cl in range(36)]
x_row = tf.decode_csv(line, record_defaults=rDefaults)
return x_row
def y_map(line):
line = tf.string_to_number(line, out_type=tf.int32)
y_row = tf.one_hot(line, depth=2)
return y_row
x_path_file = os.path.join('D:', 'Diag', '6x6_train.csv')
y_path_file = os.path.join('D:', 'Diag', 'HasDiag_train.csv')
filenames = [x_path_file]
x_dataset = tf.data.TextLineDataset(filenames)
x_dataset = x_dataset.map(x_map)
x_dataset = x_dataset.batch(1)
x_iter = x_dataset.make_one_shot_iterator()
x_next_el = x_iter.get_next()
filenames = [y_path_file]
y_dataset = tf.data.TextLineDataset(filenames)
y_dataset = y_dataset.map(y_map)
y_dataset = y_dataset.batch(1)
y_iter = y_dataset.make_one_shot_iterator()
y_next_el = y_iter.get_next()
init = tf.global_variables_initializer()
with tf.Session() as sess:
sess.run(init)
x_el = (sess.run(x_next_el))
y_el = (sess.run(y_next_el))
The output for x_el is:
(array([1.], dtype=float32), array([1.], dtype=float32), array([1.], dtype=float32), array([1.], dtype=float32), array([1.], dtype=float32), array([0.] ... it goes on...
The output for y_el is:
[[1. 0.]]
You're pretty much there for a minimal working model. The main issue I see is that tf.decode_csv returns a tuple of tensors, where as I expect you want a single tensor with all values. Easy fix:
x_row = tf.stack(tf.decode_csv(line, record_defaults=rDefaults))
That should work... but it fails to take advantage of many of the awesome things the tf.data.Dataset API has to offer, like shuffling, parallel threading etc. For example, if you shuffle each dataset, those shuffling operations won't be consistent. This is because you've created two separate datasets and manipulated them independently. If you create them independently, zip them together then manipulate, those manipulations will be consistent.
Try something along these lines:
def get_inputs(
count=None, shuffle=True, buffer_size=1000, batch_size=32,
num_parallel_calls=8, x_paths=[x_path_file], y_paths=[y_path_file]):
"""
Get x, y inputs.
Args:
count: number of epochs. None indicates infinite epochs.
shuffle: whether or not to shuffle the dataset
buffer_size: used in shuffle
batch_size: size of batch. See outputs below
num_parallel_calls: used in map. Note if > 1, intra-batch ordering
will be shuffled
x_paths: list of paths to x-value files.
y_paths: list of paths to y-value files.
Returns:
x: (batch_size, 6, 6) tensor
y: (batch_size, 2) tensor of 1-hot labels
"""
def x_map(line):
rDefaults = [[] for cl in range(n_dims**2)]
x_row = tf.stack(tf.decode_csv(line, record_defaults=rDefaults))
return x_row
def y_map(line):
line = tf.string_to_number(line, out_type=tf.int32)
y_row = tf.one_hot(line, depth=2)
return y_row
def xy_map(x, y):
return x_map(x), y_map(y)
x_ds = tf.data.TextLineDataset(x_paths)
y_ds = tf.data.TextLineDataset(y_paths)
combined = tf.data.Dataset.zip((x_ds, y_ds))
combined = combined.repeat(count=count)
if shuffle:
combined = combined.shuffle(buffer_size)
combined = combined.map(xy_map, num_parallel_calls=num_parallel_calls)
combined = combined.batch(batch_size)
x, y = combined.make_one_shot_iterator().get_next()
return x, y
To experiment/debug,
x, y = get_inputs()
with tf.Session() as sess:
xv, yv = sess.run((x, y))
print(xv.shape, yv.shape)
For use in an estimator, pass the function itself.
estimator.train(get_inputs, max_steps=10000)
def get_eval_inputs():
return get_inputs(
count=1, shuffle=False
x_paths=[x_eval_paths],
y_paths=[y_eval_paths])
estimator.eval(get_eval_inputs)

FiPy Simple Convection

I am trying to understand how FiPy works by working an example, in particular I would like to solve the following simple convection equation with periodic boundary:
$$\partial_t u + \partial_x u = 0$$
If initial data is given by $u(x, 0) = F(x)$, then the analytical solution is $u(x, t) = F(x - t)$. I do get a solution, but it is not correct.
What am I missing? Is there a better resource for understanding FiPy than the documentation? It is very sparse...
Here is my attempt
from fipy import *
import numpy as np
# Generate mesh
nx = 20
dx = 2*np.pi/nx
mesh = PeriodicGrid1D(nx=nx, dx=dx)
# Generate solution object with initial discontinuity
phi = CellVariable(name="solution variable", mesh=mesh)
phiAnalytical = CellVariable(name="analytical value", mesh=mesh)
phi.setValue(1.)
phi.setValue(0., where=x > 1.)
# Define the pde
D = [[-1.]]
eq = TransientTerm() == ConvectionTerm(coeff=D)
# Set discretization so analytical solution is exactly one cell translation
dt = 0.01*dx
steps = 2*int(dx/dt)
# Set the analytical value at the end of simulation
phiAnalytical.setValue(np.roll(phi.value, 1))
for step in range(steps):
eq.solve(var=phi, dt=dt)
print(phi.allclose(phiAnalytical, atol=1e-1))
As addressed on the FiPy mailing list, FiPy is not great at handling convection only PDEs (absent diffusion, pure hyperbolic) as it's missing higher order convection schemes. It is better to use CLAWPACK for this class of problem.
FiPy does have one second order scheme that might help with this problem, the VanLeerConvectionTerm, see an example.
If the VanLeerConvectionTerm is used in the above problem, it does do a better job of preserving the shock.
import numpy as np
import fipy
# Generate mesh
nx = 20
dx = 2*np.pi/nx
mesh = fipy.PeriodicGrid1D(nx=nx, dx=dx)
# Generate solution object with initial discontinuity
phi = fipy.CellVariable(name="solution variable", mesh=mesh)
phiAnalytical = fipy.CellVariable(name="analytical value", mesh=mesh)
phi.setValue(1.)
phi.setValue(0., where=mesh.x > 1.)
# Define the pde
D = [[-1.]]
eq = fipy.TransientTerm() == fipy.VanLeerConvectionTerm(coeff=D)
# Set discretization so analytical solution is exactly one cell translation
dt = 0.01*dx
steps = 2*int(dx/dt)
# Set the analytical value at the end of simulation
phiAnalytical.setValue(np.roll(phi.value, 1))
viewer = fipy.Viewer(phi)
for step in range(steps):
eq.solve(var=phi, dt=dt)
viewer.plot()
raw_input('stopped')
print(phi.allclose(phiAnalytical, atol=1e-1))