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I have 142 Nifti CT images of the brain, I converted them from Dicom. Every NIfti file has the dimension of 512×512×40. My plan is to work with 3d Conv Neural Network for multi-class classification. How should I feed Nifti images in a 3d CNN?
If you wish to use TensorFlow, you might consider the folowing steps:
Load your dataset using tf.data
train_loader = tf.data.Dataset.from_tensor_slices((x_train, y_train))
validation_loader = tf.data.Dataset.from_tensor_slices((x_val, y_val))
Apply your preprocessing steps
train_dataset = (
train_loader.shuffle(len(x_train))
.map(train_preprocessing)
.batch(1)
.prefetch(2))
validation_dataset = (
validation_loader.shuffle(len(x_val))
.map(validation_preprocessing)
.batch(1)
.prefetch(2)
)
Build your 3D CNN model:
def 3D_model(width= 512, height= 512, depth=40):
inputs = keras.Input((width, height, depth, 1))
x = layers.Conv3D(filters=84, kernel_size=3, activation="relu")(inputs)
x = layers.MaxPool3D(pool_size=2,padding="same")(x)
x = layers.BatchNormalization()(x)
x = layers.Conv3D(filters=64, kernel_size=3, activation="relu")(x)
x = layers.MaxPool3D(pool_size=2,padding="same")(x)
x = layers.BatchNormalization()(x)
outputs = layers.Dense(units=n_classes, activation="softmax")(x)
model = keras.Model(inputs, outputs)
return model
model = get_model(width=512, height=512, depth=40)
Train your model:
3D_model.compile(..)
3D_model.fit(
train_dataset,
validation_data=validation_dataset,
epochs=epochs,
shuffle=True)
You can also refer to this example
I am trying to develop a deep Markov Model using following tutorial:
https://pyro.ai/examples/dmm.html
This model parameterises transitions and emissions with using a neural network and for variational inference part they use RNN to map observable 'x' to latent space. And in order to ensure that their model is learning something they try to maximise ELBO or minimise negative ELBO. They refer to negative ELBO as NLL.
I am basically converting pyro code to pure pytorch. And I've put together pretty much every thing. However, now I want to get a reconstruct error on test sequences. My input is one hot encoding of my sequences and it is of shape (500,1900,4) where 4 refers to number of features and 1900 is sequence length, and 500 refers to total number of examples.
The way I am generating data is:
generation model p(x_{1:T} | z_{1:T}) p(z_{1:T})
batch_size, _, x_dim = x.size() # number of time steps we need to process in the mini-batch
T_max = x_lens.max()
z_prev = self.z_0.expand(batch_size, self.z_0.size(0)) # set z_prev=z_0 to setup the recursive conditioning in p(z_t|z_{t-1})
for t in range(1, T_max + 1):
# sample z_t ~ p(z_t | z_{t-1}) one time step at a time
z_t, z_mu, z_logvar = self.trans(z_prev) # p(z_t | z_{t-1})
p_x_t = F.softmax(self.emitter(z_t),dim=-1) # compute the probabilities that parameterize the bernoulli likelihood
safe_tensor = torch.where(torch.isnan(p_x_t), torch.zeros_like(p_x_t), p_x_t)
print('generate p_x_t : ',safe_tensor)
x_t = torch.bernoulli(safe_tensor) #sample observe x_t according to the bernoulli distribution p(x_t|z_t)
print('generate x_t : ',x_t)
z_prev = z_t
So my emissions are being defined by Bernoulli distribution. And I use softmax in order to compute probabilities that parameterise the Bernoulli likelihood. And then I sample my observables x_t according the Bernoulli distribution.
At first when I ran my model, I was getting nans at times and so I introduced the line (show below) in order to convert nans to zero:
safe_tensor = torch.where(torch.isnan(p_x_t), torch.zeros_like(p_x_t), p_x_t)
However, after 1 epoch or so 'x_t' that I sample, this tensor is just zero. Basically, what I want is that after applying softmax, I want my function to pick the highest probability and give me the corresponding label for it which is either of the 4 features. But I get nans and then when I convert all nans to zero, I end up getting all zeros in all tensors after 1 epoch or so.
Also, when I look at p_x_t tensor I get probabilities that add up to one. But when I look at x_t tensor it gives me 0's all the way. So for example:
p_x_t : tensor([[0.2168, 0.2309, 0.2555, 0.2967]
.....], device='cuda:0',
grad_fn=<SWhereBackward>)
generate x_t : tensor([[0., 0., 0., 0.],...
], device='cuda:0', grad_fn=<BernoulliBackward0>)
Here fourth label/feature is giving me highest probability. Shouldn't the x_t tensor give me 1 at least in that position so be like:
generate x_t : tensor([[0., 0., 0., 1.],...
], device='cuda:0', grad_fn=<BernoulliBackward0>)
How can I get rid of this problems?
EDIT
My transition (which is called as self.trans in generate function mentioned above):
class GatedTransition(nn.Module):
"""
Parameterizes the gaussian latent transition probability `p(z_t | z_{t-1})`
See section 5 in the reference for comparison.
"""
def __init__(self, z_dim, trans_dim):
super(GatedTransition, self).__init__()
self.gate = nn.Sequential(
nn.Linear(z_dim, trans_dim),
nn.ReLU(),
nn.Linear(trans_dim, z_dim),
nn.Softmax(dim=-1)
)
self.proposed_mean = nn.Sequential(
nn.Linear(z_dim, trans_dim),
nn.ReLU(),
nn.Linear(trans_dim, z_dim)
)
self.z_to_mu = nn.Linear(z_dim, z_dim)
# modify the default initialization of z_to_mu so that it starts out as the identity function
self.z_to_mu.weight.data = torch.eye(z_dim)
self.z_to_mu.bias.data = torch.zeros(z_dim)
self.z_to_logvar = nn.Linear(z_dim, z_dim)
self.relu = nn.ReLU()
def forward(self, z_t_1):
"""
Given the latent `z_{t-1}` corresponding to the time step t-1
we return the mean and scale vectors that parameterize the (diagonal) gaussian distribution `p(z_t | z_{t-1})`
"""
gate = self.gate(z_t_1) # compute the gating function
proposed_mean = self.proposed_mean(z_t_1) # compute the 'proposed mean'
mu = (1 - gate) * self.z_to_mu(z_t_1) + gate * proposed_mean # compute the scale used to sample z_t, using the proposed mean from
logvar = self.z_to_logvar(self.relu(proposed_mean))
epsilon = torch.randn(z_t_1.size(), device=z_t_1.device) # sampling z by re-parameterization
z_t = mu + epsilon * torch.exp(0.5 * logvar) # [batch_sz x z_sz]
if torch.isinf(z_t).any().item():
print('something is infinity')
print('z_t : ',z_t)
print('logvar : ',logvar)
print('epsilon : ',epsilon)
print('mu : ',mu)
return z_t, mu, logvar
I do not get any inf in z_t tensor when doing training and validation. Only during testing. This is how I am training, validating and testing my model:
for epoch in range(config['epochs']):
train_loader=torch.utils.data.DataLoader(dataset=train_set, batch_size=config['batch_size'], shuffle=True, num_workers=1)
train_data_iter=iter(train_loader)
n_iters=train_data_iter.__len__()
epoch_nll = 0.0 # accumulator for our estimate of the negative log likelihood (or rather -elbo) for this epoch
i_batch=1
n_slices=0
loss_records={}
while True:
try: x, x_rev, x_lens = train_data_iter.next()
except StopIteration: break # end of epoch
x, x_rev, x_lens = gVar(x), gVar(x_rev), gVar(x_lens)
if config['anneal_epochs'] > 0 and epoch < config['anneal_epochs']: # compute the KL annealing factor
min_af = config['min_anneal']
kl_anneal = min_af+(1.0-min_af)*(float(i_batch+epoch*n_iters+1)/float(config['anneal_epochs']*n_iters))
else:
kl_anneal = 1.0 # by default the KL annealing factor is unity
loss_AE = model.train_AE(x, x_rev, x_lens, kl_anneal)
epoch_nll += loss_AE['train_loss_AE']
i_batch=i_batch+1
n_slices=n_slices+x_lens.sum().item()
loss_records.update(loss_AE)
loss_records.update({'epo_nll':epoch_nll/n_slices})
times.append(time.time())
epoch_time = times[-1] - times[-2]
log("[Epoch %04d]\t\t(dt = %.3f sec)"%(epoch, epoch_time))
log(loss_records)
if args.visual:
for k, v in loss_records.items():
tb_writer.add_scalar(k, v, epoch)
# do evaluation on test and validation data and report results
if (epoch+1) % args.test_freq == 0:
save_model(model, epoch)
#test_loader=torch.utils.data.DataLoader(dataset=test_set, batch_size=config['batch_size'], shuffle=False, num_workers=1)
valid_loader=torch.utils.data.DataLoader(dataset=valid_set, batch_size=config['batch_size'], shuffle=False, num_workers=1)
for x, x_rev, x_lens in valid_loader:
x, x_rev, x_lens = gVar(x), gVar(x_rev), gVar(x_lens)
loss,kl_loss = model.valid(x, x_rev, x_lens)
#print('x_lens sum : ',x_lens.sum().item())
#print('loss : ',loss)
valid_nll = loss/x_lens.sum().item()
log("[Epoch %04d]\t\t(valid_loss = %.8f)\t\t(kl_loss = %.8f)\t\t(valid_nll = %.8f)"%(epoch, loss, kl_loss, valid_nll ))
test_loader=torch.utils.data.DataLoader(dataset=test_set, batch_size=config['batch_size'], shuffle=False, num_workers=1)
for x, x_rev, x_lens in test_loader:
x, x_rev, x_lens = gVar(x), gVar(x_rev), gVar(x_lens)
loss,kl_loss = model.valid(x, x_rev, x_lens)
test_nll = loss/x_lens.sum().item()
model.generate(x, x_rev, x_lens)
log("[test_nll epoch %08d] %.8f" % (epoch, test_nll))
The test is outside the for loop for epoch. Because I want to test my model on test sequences using generate function. Can you now help me understand if there's something wrong I am doing?
I’ve made a custom CNN in PyTorch for classifying 10 classes in the CIFAR-10 dataset. My classification accuracy on the test dataset is 45.739%, this is very low and I thought it’s because my model is not very deep but I implemented the same model in Keras and the classification accuracy come outs to be 78.92% on test dataset. No problem in Keras however I think there's something I'm missing in my PyTorch program.
I have used the same model architecture, strides, padding, dropout rate, optimizer, loss function, learning rate, batch size, number of epochs on both PyTorch and Keras and despite that, the difference in the classification accuracy is still huge thus I’m not able to decide how I should debug my PyTorch program further.
For now I suspect 3 things: in Keras, I use the categorical cross entropy loss function (one hot vector labels) and in PyTorch I use the standard cross entropy loss function (scalar indices labels), can this be a problem?, if not then I suspect either my training loop or the code for calculating classification accuracy in PyTorch. I have attached both my programs below, will be grateful to any suggestions.
My program in Keras:
#================Function that defines the CNN model===========
def CNN_model():
model = Sequential()
model.add(Conv2D(32,(3,3),activation='relu',padding='same', input_shape=(size,size,channels))) #SAME PADDING
model.add(Conv2D(32,(3,3),activation='relu')) #VALID PADDING
model.add(MaxPooling2D(pool_size=(2,2))) #VALID PADDING
model.add(Dropout(0.25))
model.add(Conv2D(64,(3,3),activation='relu', padding='same')) #SAME PADDING
model.add(Conv2D(64,(3,3),activation='relu')) #VALID PADDING
model.add(MaxPooling2D(pool_size=(2,2))) #VALID PADDING
model.add(Dropout(0.25))
model.add(Conv2D(128,(3,3),activation='relu', padding='same')) #SAME PADDING
model.add(Conv2D(128,(3,3),activation='relu')) #VALID PADDING
model.add(MaxPooling2D(pool_size=(2,2),name='feature_extractor_layer')) #VALID PADDING
model.add(Dropout(0.25))
model.add(Flatten())
model.add(Dense(512, activation='relu', name='second_last_layer'))
model.add(Dropout(0.25))
model.add(Dense(10, activation='softmax', name='softmax_layer')) #10 nodes in the softmax layer
model.summary()
return model
#=====Main program starts here========
#get_train_data() and get_test_data() are my own custom functions to get CIFAR-10 dataset
images_train, labels_train, class_train = get_train_data(0,10)
images_test, labels_test, class_test = get_test_data(0,10)
model = CNN_model()
model.compile(loss='categorical_crossentropy', #loss function of the CNN
optimizer=Adam(lr=1.0e-4), #Optimizer
metrics=['accuracy'])#'accuracy' metric is to be evaluated
#images_train and images_test contain images and
#class_train and class_test contains one hot vectors labels
model.fit(images_train,class_train,
batch_size=128,
epochs=50,
validation_data=(images_test,class_test),
verbose=1)
scores=model.evaluate(images_test,class_test,verbose=0)
print("Accuracy: "+str(scores[1]*100)+"% \n")
My program in PyTorch:
#========DEFINE THE CNN MODEL=====
class Net(nn.Module):
def __init__(self):
super(Net, self).__init__()
self.conv1 = nn.Conv2d(3, 32, 3,1,1)#SAME PADDING
self.conv2 = nn.Conv2d(32,32,3,1,0)#VALID PADDING
self.pool1 = nn.MaxPool2d(2,2) #VALID PADDING
self.drop1 = nn.Dropout2d(0.25) #DROPOUT OF 0.25
self.conv3 = nn.Conv2d(32,64,3,1,1)#SAME PADDING
self.conv4 = nn.Conv2d(64,64,3,1,0)#VALID PADDING
self.pool2 = nn.MaxPool2d(2,2)#VALID PADDING
self.drop2 = nn.Dropout2d(0.25) #DROPOUT OF 0.25
self.conv5 = nn.Conv2d(64,128,3,1,1)#SAME PADDING
self.conv6 = nn.Conv2d(128,128,3,1,0)#VALID PADDING
self.pool3 = nn.MaxPool2d(2,2)#VALID PADDING
self.drop3 = nn.Dropout2d(0.25) #DROPOUT OF 0.25
self.fc1 = nn.Linear(128*2*2, 512)#128*2*2 IS OUTPUT DIMENSION AFTER THE PREVIOUS LAYER
self.drop4 = nn.Dropout(0.25) #DROPOUT OF 0.25
self.fc2 = nn.Linear(512,10) #10 output nodes
def forward(self, x):
x = F.relu(self.conv1(x))
x = F.relu(self.conv2(x))
x = self.pool1(x)
x = self.drop1(x)
x = F.relu(self.conv3(x))
x = F.relu(self.conv4(x))
x = self.pool2(x)
x = self.drop2(x)
x = F.relu(self.conv5(x))
x = F.relu(self.conv6(x))
x = self.pool3(x)
x = self.drop3(x)
x = x.view(-1,2*2*128) #FLATTENING OPERATION 2*2*128 IS OUTPUT AFTER THE PREVIOUS LAYER
x = F.relu(self.fc1(x))
x = self.drop4(x)
x = self.fc2(x) #LAST LAYER DOES NOT NEED SOFTMAX BECAUSE THE LOSS FUNCTION WILL TAKE CARE OF IT
return x
#=======FUNCTION TO CONVERT INPUT AND TARGET TO TORCH TENSORS AND LOADING INTO GPU======
def PrepareInputDataAndTargetData(device,images,labels,batch_size):
#GET MINI BATCH OF TRAINING IMAGES AND RESHAPE THE TORCH TENSOR FOR CNN PROCESSING
mini_batch_images = torch.tensor(images)
mini_batch_images = mini_batch_images.view(batch_size,3,32,32)
#GET MINI BATCH OF TRAINING LABELS, TARGET SHOULD BE IN LONG FORMAT SO CONVERT THAT TOO
mini_batch_labels = torch.tensor(labels)
mini_batch_labels = mini_batch_labels.long()
#FEED THE INPUT DATA AND TARGET LABELS TO GPU
mini_batch_images = mini_batch_images.to(device)
mini_batch_labels = mini_batch_labels.to(device)
return mini_batch_images,mini_batch_labels
#==========MAIN PROGRAM==========
device = torch.device("cuda:0" if torch.cuda.is_available() else "cpu")
#get_train_data() and get_test_data() are my own custom functions to get CIFAR-10 dataset
Images_train, Labels_train, Class_train = get_train_data(0,10)
Images_test, Labels_test, Class_test = get_test_data(0,10)
net = Net()
net = net.double() #https://discuss.pytorch.org/t/runtimeerror-expected-object-of-scalar-type-double-but-got-scalar-type-float-for-argument-2-weight/38961
print(net)
#MAP THE MODEL ONTO THE GPU
net = net.to(device)
#CROSS ENTROPY LOSS FUNCTION AND ADAM OPTIMIZER
criterion = nn.CrossEntropyLoss()
optimizer = optim.Adam(net.parameters(), lr=1e-4)
#PREPARE THE DATALOADER
#Images_train contains images and Labels_trains contains indices i.e. 0,1,...,9
dataset = TensorDataset( Tensor(Images_train), Tensor(Labels_train) )
trainloader = DataLoader(dataset, batch_size= 128, shuffle=True)
#START TRAINING THE CNN MODEL FOR 50 EPOCHS
for epoch in range(0,50):
for i, data in enumerate(trainloader, 0):
inputs, labels = data
inputs = torch.tensor(inputs).double()
inputs = inputs.view(len(inputs),3,32,32) #RESHAPE THE IMAGES
labels = labels.long() #MUST CONVERT LABEL TO LONG FORMAT
#MAP THE INPUT AND LABELS TO THE GPU
inputs=inputs.to(device)
labels=labels.to(device)
#FORWARD PROP, BACKWARD PROP, PARAMETER UPDATE
optimizer.zero_grad()
outputs = net.forward(inputs)
loss = criterion(outputs, labels)
loss.backward()
optimizer.step()
#CALCULATE CLASSIFICATION ACCURACY ON ALL 10 CLASSES
with torch.no_grad():
Images_class,Labels_class = PrepareInputDataAndTargetData(device,Images_test,Labels_test,len(Images_test))
network_outputs = net.forward(Images_class)
correct = (torch.argmax(network_outputs.data,1) == Labels_class.data).float().sum()
acc = float(100.0*(correct/len(Images_class)))
print("Accuracy is: "+str(acc)+"\n")
del Images_class
del Labels_class
del network_outputs
del correct
del acc
torch.cuda.empty_cache()
print("Done\n")
I am not fully aware of how the actual core backend works in both libraries however I suppose that the classification accuracy of any model should be almost the same regardless of the library.
I am using the keras model with the following layers to predict a label of input (out of 4 labels)
embedding_layer = keras.layers.Embedding(MAX_NB_WORDS,
EMBEDDING_DIM,
weights=[embedding_matrix],
input_length=MAX_SEQUENCE_LENGTH,
trainable=False)
sequence_input = keras.layers.Input(shape = (MAX_SEQUENCE_LENGTH,),
dtype = 'int32')
embedded_sequences = embedding_layer(sequence_input)
hidden_layer = keras.layers.Dense(50, activation='relu')(embedded_sequences)
flat = keras.layers.Flatten()(hidden_layer)
preds = keras.layers.Dense(4, activation='softmax')(flat)
model = keras.models.Model(sequence_input, preds)
model.compile(loss='categorical_crossentropy', optimizer='rmsprop', metrics=['acc'])
model.fit(X_train, Y_train, batch_size=32, epochs=100)
However, the softmax function returns a number of outputs of 4 (because I have 4 labels)
When I'm using the predict function to get the predicted Y using the same model, I am getting an array of 4 for each X rather than one single label deciding the label for the input.
model.predict(X_test, batch_size = None, verbose = 0, steps = None)
How do I make the output layer of the keras model, or the model.predict function, decide on one single label, rather than output weights for each label?
The following is a common function to sample from a probability vector
def sample(preds, temperature=1.0):
# helper function to sample an index from a probability array
preds = np.asarray(preds).astype('float64')
preds = np.log(preds) / temperature
exp_preds = np.exp(preds)
preds = exp_preds / np.sum(exp_preds)
probas = np.random.multinomial(1, preds, 1)
return np.argmax(probas)
Taken from here.
The temperature parameter decides how much the differences between the probability weights are weightd. A temperature of 1 is considering each weight "as it is", a temperature larger than 1 reduces the differences between the weights, a temperature smaller than 1 increases them.
Here an example using a probability vector on 3 labels:
p = np.array([0.1, 0.7, 0.2]) # The first label has a probability of 10% of being chosen, the second 70%, the third 20%
print(sample(p, 1)) # sample using the input probabilities, unchanged
print(sample(p, 0.1)) # the new vector of probabilities from which to sample is [ 3.54012033e-09, 9.99996371e-01, 3.62508322e-06]
print(sample(p, 10)) # the new vector of probabilities from which to sample is [ 0.30426696, 0.36962778, 0.32610526]
To see the new vector make sample return preds.
I am very new to TensorFlow and I am in parallel learning traditional machine learning techniques. Previously, I was able to successfully implement linear regression modelling in matlab and in Python using scikit.
When I tried to reproduce it using Tensorflow with the same dataset, I am getting invalid outputs. Could someone advise me on where I am making the mistake or what I am missing!
Infact, I am using the code from tensor flow introductory tutorial and I just changed the x_train and y_train to a different data set.
# Loading the ML coursera course ex1 (Wk 2) data to try it out
'''
path = r'C:\Users\Prasanth\Dropbox\Python Folder\ML in Python\data\ex1data1.txt'
fh = open(path,'r')
l1 = []
l2 = []
for line in fh:
temp = (line.strip().split(','))
l1.append(float(temp[0]))
l2.append(float(temp[1]))
'''
l1 = [6.1101, 5.5277, 8.5186, 7.0032, 5.8598, 8.3829, 7.4764, 8.5781, 6.4862, 5.0546, 5.7107, 14.164, 5.734, 8.4084, 5.6407, 5.3794, 6.3654, 5.1301, 6.4296, 7.0708, 6.1891, 20.27, 5.4901, 6.3261, 5.5649, 18.945, 12.828, 10.957, 13.176, 22.203, 5.2524, 6.5894, 9.2482, 5.8918, 8.2111, 7.9334, 8.0959, 5.6063, 12.836, 6.3534, 5.4069, 6.8825, 11.708, 5.7737, 7.8247, 7.0931, 5.0702, 5.8014, 11.7, 5.5416, 7.5402, 5.3077, 7.4239, 7.6031, 6.3328, 6.3589, 6.2742, 5.6397, 9.3102, 9.4536, 8.8254, 5.1793, 21.279, 14.908, 18.959, 7.2182, 8.2951, 10.236, 5.4994, 20.341, 10.136, 7.3345, 6.0062, 7.2259, 5.0269, 6.5479, 7.5386, 5.0365, 10.274, 5.1077, 5.7292, 5.1884, 6.3557, 9.7687, 6.5159, 8.5172, 9.1802, 6.002, 5.5204, 5.0594, 5.7077, 7.6366, 5.8707, 5.3054, 8.2934, 13.394, 5.4369]
l2 = [17.592, 9.1302, 13.662, 11.854, 6.8233, 11.886, 4.3483, 12.0, 6.5987, 3.8166, 3.2522, 15.505, 3.1551, 7.2258, 0.71618, 3.5129, 5.3048, 0.56077, 3.6518, 5.3893, 3.1386, 21.767, 4.263, 5.1875, 3.0825, 22.638, 13.501, 7.0467, 14.692, 24.147, -1.22, 5.9966, 12.134, 1.8495, 6.5426, 4.5623, 4.1164, 3.3928, 10.117, 5.4974, 0.55657, 3.9115, 5.3854, 2.4406, 6.7318, 1.0463, 5.1337, 1.844, 8.0043, 1.0179, 6.7504, 1.8396, 4.2885, 4.9981, 1.4233, -1.4211, 2.4756, 4.6042, 3.9624, 5.4141, 5.1694, -0.74279, 17.929, 12.054, 17.054, 4.8852, 5.7442, 7.7754, 1.0173, 20.992, 6.6799, 4.0259, 1.2784, 3.3411, -2.6807, 0.29678, 3.8845, 5.7014, 6.7526, 2.0576, 0.47953, 0.20421, 0.67861, 7.5435, 5.3436, 4.2415, 6.7981, 0.92695, 0.152, 2.8214, 1.8451, 4.2959, 7.2029, 1.9869, 0.14454, 9.0551, 0.61705]
print ('List length and data type', len(l1), type(l1))
#------------------#
import tensorflow as tf
# Model parameters
W = tf.Variable([0], dtype=tf.float64)
b = tf.Variable([0], dtype=tf.float64)
# Model input and output
x = tf.placeholder(tf.float64)
linear_model = W * x + b
y = tf.placeholder(tf.float64)
# loss or cost function
loss = tf.reduce_sum(tf.square(linear_model - y)) # sum of the squares
# optimizer (gradient descent) with learning rate = 0.01
optimizer = tf.train.GradientDescentOptimizer(0.01)
train = optimizer.minimize(loss)
# training data (labelled input & output swt)
# Using coursera data instead of sample data
#x_train = [1.0, 2, 3, 4]
#y_train = [0, -1, -2, -3]
x_train = l1
y_train = l2
# training loop (1000 iterations)
init = tf.global_variables_initializer()
sess = tf.Session()
sess.run(init) # reset values to wrong
for i in range(1000):
sess.run(train, {x: x_train, y: y_train})
# evaluate training accuracy
curr_W, curr_b, curr_loss = sess.run([W, b, loss], {x: x_train, y: y_train})
print("W: %s b: %s loss: %s"%(curr_W, curr_b, curr_loss))
Output
List length and data type: 97 <class 'list'>
W: [ nan] b: [ nan] loss: nan
One major problem with your estimator is the loss function. Since you use tf.reduce_sum, the loss grows with the number of samples, which you have to compensate by using a smaller learning rate. A better solution would be to use mean square error loss
loss = tf.reduce_mean(tf.square(linear_model - y))