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The Hitchhikers's Guide to PyTorch for Data Scientists

by Rahul AgarwalOctober 8th, 2020

Too Long; Didn't Read

Pytorch has become one of the de facto standard for creating Neural Networks. With its high customizability and pythonic syntax, PyTorch is just a joy to work with. In this guide, I will go through some of the most important classes and modules that you will require while creating any neural network with PytorCh. We will also talk about custom Layers, Datasets, Dataloaders, and Loss functions. The full list of functions can be found here.

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PyTorch has sort of became one of the de facto standard for creating Neural Networks now, and I love its interface. Yet, it is somehow a little difficult for beginners to get a hold of.

I remember picking PyTorch up only after some extensive experimentation a couple of years back. To tell you the truth, it took me a lot of time to pick it up but am I glad that I moved from . With its high customizability and pythonic syntax, PyTorch is just a joy to work with, and I would recommend it to anyone who wants to do some heavy lifting with Deep Learning.

So, in this PyTorch guide, I will try to ease some of the pain with PyTorch for starters and go through some of the most important classes and modules that you will require while creating any Neural Network with Pytorch.

But, that is not to say that this is aimed at beginners only as I will also talk about the high customizability PyTorch provides and will talk about custom Layers, Datasets, Dataloaders, and Loss functions.

So let’s get some coffee ☕ ️and start it up.

Tensors

Tensors are the basic building blocks in PyTorch and put very simply, they are NumPy arrays but on GPU. In this part, I will list down some of the most used operations we can use while working with Tensors. This is by no means an exhaustive list of operations you can do with Tensors, but it is helpful to understand what tensors are before going towards the more exciting parts.

1. Create a Tensor

We can create a PyTorch tensor in multiple ways. This includes converting to tensor from a NumPy array. Below is just a small gist with some examples to start with, but you can do a whole lot of with tensors just like you can do with NumPy arrays.

# Using torch.Tensor
t = torch.Tensor([[1,2,3],[3,4,5]])
print(f"Created Tensor Using torch.Tensor:\n{t}")

# Using torch.randn
t = torch.randn(3, 5)
print(f"Created Tensor Using torch.randn:\n{t}")

# using torch.[ones|zeros](*size)
t = torch.ones(3, 5)
print(f"Created Tensor Using torch.ones:\n{t}")
t = torch.zeros(3, 5)
print(f"Created Tensor Using torch.zeros:\n{t}")

# using torch.randint - a tensor of size 4,5 with entries between 0 and 10(excluded)
t = torch.randint(low = 0,high = 10,size = (4,5))
print(f"Created Tensor Using torch.randint:\n{t}")

# Using from_numpy to convert from Numpy Array to Tensor
a = np.array([[1,2,3],[3,4,5]])
t = torch.from_numpy(a)
print(f"Convert to Tensor From Numpy Array:\n{t}")

# Using .numpy() to convert from Tensor to Numpy array
t = t.numpy()
print(f"Convert to Numpy Array From Tensor:\n{t}")

2. Tensor Operations

Again, there are a lot of operations you can do on these tensors. The full list of functions can be found .

A = torch.randn(3,4)
W = torch.randn(4,2)
# Multiply Matrix A and W
t = A.mm(W)
print(f"Created Tensor t by Multiplying A and W:\n{t}")
# Transpose Tensor t
t = t.t()
print(f"Transpose of Tensor t:\n{t}")
# Square each element of t
t = t**2
print(f"Square each element of Tensor t:\n{t}")
# return the size of a tensor
print(f"Size of Tensor t using .size():\n{t.size()}")

Note: What are PyTorch Variables? In the previous versions of Pytorch, Tensor and Variables used to be different and provided different functionality, but now the Variable API is , and all methods for variables work with Tensors. So, if you don’t know about them, it’s fine as they re not needed, and if you know them, you can forget about them.

The nn.Module

Here comes the fun part as we are now going to talk about some of the most used constructs in Pytorch while creating deep learning projects. nn.Module lets you create your Deep Learning models as a class. You can inherit from nn.Moduleto define any model as a class. Every model class necessarily contains an

__init__

procedure block and a block for the

forward

pass.

In the
```
__init__
```
part, the user can define all the layers the network is going to have but doesn’t yet define how those layers would be connected to each other.
In the
```
forward
```
pass block, the user defines how data flows from one layer to another inside the network.

So, put simply, any network we define will look like:

class myNeuralNet(nn.Module):
    def __init__(self):
        super().__init__()
        # Define all Layers Here
        self.lin1 = nn.Linear(784, 30)
        self.lin2 = nn.Linear(30, 10)
    def forward(self, x):
        # Connect the layer Outputs here to define the forward pass
        x = self.lin1(x)
        x = self.lin2(x)
        return x

Here we have defined a very simple Network that takes an input of size 784 and passes it through two linear layers in a sequential manner. But the thing to note is that we can define any sort of calculation while defining the forward pass, and that makes PyTorch highly customizable for research purposes. For example, in our crazy experimentation mode, we might have used the below network where we arbitrarily attach our layers. Here we send back the output from the second linear layer back again to the first one after adding the input to it(skip connection) back again(I honestly don’t know what that will do).

class myCrazyNeuralNet(nn.Module):
    def __init__(self):
        super().__init__()
        # Define all Layers Here
        self.lin1 = nn.Linear(784, 30)
        self.lin2 = nn.Linear(30, 784)
        self.lin3 = nn.Linear(30, 10)

    def forward(self, x):
        # Connect the layer Outputs here to define the forward pass
        x_lin1 = self.lin1(x)
        x_lin2 = x + self.lin2(x_lin1)
        x_lin2 = self.lin1(x_lin2)
        x = self.lin3(x_lin2)
        return x

We can also check if the neural network forward pass works. I usually do that by first creating some random input and just passing that through the network I have created.

x = torch.randn((100,784))
model = myCrazyNeuralNet()
model(x).size()
--------------------------
torch.Size([100, 10])

A word about Layers

Pytorch is pretty powerful, and you can actually create any new experimental layer by yourself using

nn.Module

. For example, rather than using the predefined Linear Layer

nn.Linear

from Pytorch above, we could have created our custom linear layer.

class myCustomLinearLayer(nn.Module):
    def __init__(self,in_size,out_size):
        super().__init__()
        self.weights = nn.Parameter(torch.randn(in_size, out_size))
        self.bias = nn.Parameter(torch.zeros(out_size))
    def forward(self, x):
        return x.mm(self.weights) + self.bias

You can see how we wrap our weights tensor in nn.Parameter. This is done to make the tensor to be considered as a model parameter. From PyTorch :

Parameters are subclasses, that have a very special property when used with Module - when they’re assigned as Module attributes they are automatically added to the list of its parameters, and will appear in parameters() iterator

As you will later see, the

model.parameters()

iterator will be an input to the optimizer. But more on that later.

Right now, we can now use this custom layer in any PyTorch network, just like any other layer.

class myCustomNeuralNet(nn.Module):
    def __init__(self):
        super().__init__()
        # Define all Layers Here
        self.lin1 = myCustomLinearLayer(784,10)

    def forward(self, x):
        # Connect the layer Outputs here to define the forward pass
        x = self.lin1(x)
        return x
x = torch.randn((100,784))
model = myCustomNeuralNet()
model(x).size()
------------------------------------------
torch.Size([100, 10])

But then again, Pytorch would not be so widely used if it didn’t provide a lot of ready to made layers used very frequently in wide varieties of Neural Network architectures. Some examples are: , , , , , , , / , , , , , I have linked all the layers to their source where you could read all about them, but to show how I usually try to understand a layer and read the docs, I would try to look at a very simple convolutional layer here.

So, a Conv2d Layer needs as input an Image of height H and width W, with Cin channels. Now, for the first layer in a convnet, the number of in_channels would be 3(RGB), and the number of out_channels can be defined by the user. The kernel_size mostly used is 3x3, and the stride normally used is 1.To check a new layer which I don’t know much about, I usually try to see the input as well as output for the layer like below where I would first initialize the layer:

conv_layer = nn.Conv2d(in_channels = 3, out_channels = 64, kernel_size = (3,3), stride = 1, padding=1)

And then pass some random input through it. Here 100 is the batch size.

x = torch.randn((100,3,24,24))
conv_layer(x).size()
--------------------------------
torch.Size([100, 64, 24, 24])

So, we get the output from the convolution operation as required, and I have sufficient information on how to use this layer in any Neural Network I design.

Datasets and DataLoaders

How would we pass data to our Neural nets while training or while testing? We can definitely pass tensors as we have done above, but Pytorch also provides us with pre-built Datasets to make it easier for us to pass data to our neural nets. You can check out the complete list of datasets provided at and . But, to give a concrete example for datasets, let’s say we had to pass images to an Image Neural net using a folder which has images in this structure:

data
    train
        sailboat
        kayak
        .
        .

We can use

torchvision.datasets.ImageFolder

dataset to get an example image like below:

from torchvision import transforms
from torchvision.datasets import ImageFolder
traindir = "data/train/"
t = transforms.Compose([
        transforms.Resize(size=256),
    transforms.CenterCrop(size=224),
        transforms.ToTensor()])
train_dataset = ImageFolder(root=traindir,transform=t)
print("Num Images in Dataset:", len(train_dataset))
print("Example Image and Label:", train_dataset[2])

This dataset has 847 images, and we can get an image and its label using an index. Now we can pass images one by one to any image neural network using a for loop:

for i in range(0,len(train_dataset)):
    image ,label = train_dataset[i]
    pred = model(image)

But that is not optimal. We want to do batching. We can actually write some more code to append images and labels in a batch and then pass it to the Neural network. But Pytorch provides us with a utility iterator

torch.utils.data.DataLoader

to do precisely that. Now we can simply wrap our

train_dataset

in the Dataloader, and we will get batches instead of individual examples.

train_dataloader = DataLoader(train_dataset,batch_size = 64, shuffle=True, num_workers=10)

We can simply iterate with batches using:

for image_batch, label_batch in train_dataloader:
    print(image_batch.size(),label_batch.size())
    break
------------------------------------------------------------------
torch.Size([64, 3, 224, 224]) torch.Size([64])

So actually, the whole process of using datasets and Dataloaders becomes:

t = transforms.Compose([
        transforms.Resize(size=256),
    transforms.CenterCrop(size=224),
        transforms.ToTensor()])

train_dataset = torchvision.datasets.ImageFolder(root=traindir,transform=t)
train_dataloader = DataLoader(train_dataset,batch_size = 64, shuffle=True, num_workers=10)

for image_batch, label_batch in train_dataloader:
    pred = myImageNeuralNet(image_batch)

You can look at this particular example in action in my previous blogpost on Image classification using Deep Learning .This is great, and Pytorch does provide a lot of functionality out of the box. But the main power of Pytorch comes with its immense customization. We can also create our own custom datasets if the datasets provided by PyTorch don’t fit our use case.

Understanding Custom Datasets

To write our custom datasets, we can make use of the abstract class

torch.utils.data.Dataset

provided by Pytorch. We need to inherit this Dataset class and need to define two methods to create a custom Dataset.

```
__len__
```
: a function that returns the size of the dataset. This one is pretty simple to write in most cases.
```
__getitem__
```
: a function that takes as input an index i and returns the sample at index i.

For example, we can create a simple custom dataset that returns an image and a label from a folder. See that most of the tasks are happening in

__init__

part where we use

glob.glob

to get image names and do some general preprocessing.

from glob import glob
from PIL import Image
from torch.utils.data import Dataset

class customImageFolderDataset(Dataset):
    """Custom Image Loader dataset."""
    def __init__(self, root, transform=None):
        """
        Args:
            root (string): Path to the images organized in a particular folder structure.
            transform: Any Pytorch transform to be applied
        """
        # Get all image paths from a directory
        self.image_paths = glob(f"{root}/*/*")
        # Get the labels from the image paths
        self.labels = [x.split("/")[-2] for x in self.image_paths]
        # Create a dictionary mapping each label to a index from 0 to len(classes).
        self.label_to_idx = {x:i for i,x in enumerate(set(self.labels))}
        self.transform = transform
        
    def __len__(self):
        # return length of dataset
        return len(self.image_paths)
      
    def __getitem__(self, idx):
        # open and send one image and label
        img_name = self.image_paths[idx]
        label = self.labels[idx]
        image = Image.open(img_name)
        if self.transform:
            image = self.transform(image)
        return image,self.label_to_idx[label]

Also, note that we open our images one at a time in the

__getitem__

method and not while initializing. This is not done in

__init__

because we don't want to load all our images in the memory and just need to load the required ones.

We can now use this dataset with the utility Dataloader just like before. It works just like the previous dataset provided by PyTorch but without some utility functions.


t = transforms.Compose([
        transforms.Resize(size=256),
    transforms.CenterCrop(size=224),
        transforms.ToTensor()])

train_dataset = customImageFolderDataset(root=traindir,transform=t)
train_dataloader = DataLoader(train_dataset,batch_size = 64, shuffle=True, num_workers=10)

for image_batch, label_batch in train_dataloader:
    pred = myImageNeuralNet(image_batch)

Understanding Custom DataLoaders

This particular section is a little advanced and can be skipped going through this post as it will not be needed in a lot of situations. But I am adding it for completeness here.

So let’s say you are looking to provide batches to a network that processes text input, and the network could take sequences with any sequence size as long as the size remains constant in the batch. For example, we can have a BiLSTM network that can process sequences of any length. It’s alright if you don’t understand the layers used in it right now; just know that it can process sequences with variable sizes.

class BiLSTM(nn.Module):
    def __init__(self):
        super().__init__()
        self.hidden_size = 64
        drp = 0.1
        max_features, embed_size = 10000,300
        self.embedding = nn.Embedding(max_features, embed_size)
        self.lstm = nn.LSTM(embed_size, self.hidden_size, bidirectional=True, batch_first=True)
        self.linear = nn.Linear(self.hidden_size*4 , 64)
        self.relu = nn.ReLU()
        self.dropout = nn.Dropout(drp)
        self.out = nn.Linear(64, 1)


    def forward(self, x):
        h_embedding = self.embedding(x)
        h_embedding = torch.squeeze(torch.unsqueeze(h_embedding, 0))
        
        h_lstm, _ = self.lstm(h_embedding)
        avg_pool = torch.mean(h_lstm, 1)
        max_pool, _ = torch.max(h_lstm, 1)
        conc = torch.cat(( avg_pool, max_pool), 1)
        conc = self.relu(self.linear(conc))
        conc = self.dropout(conc)
        out = self.out(conc)
        return out

This network expects its input to be of shape (batch_size, seq_length) and works with any seq_length. We can check this by passing our model two random batches with different sequence lengths(10 and 25).

model = BiLSTM()
input_batch_1 = torch.randint(low = 0,high = 10000, size = (100,10))
input_batch_2 = torch.randint(low = 0,high = 10000, size = (100,25))
print(model(input_batch_1).size())
print(model(input_batch_2).size())
------------------------------------------------------------------
torch.Size([100, 1])
torch.Size([100, 1])

Now, we want to provide tight batches to this model, such that each batch has the same sequence length based on the max sequence length in the batch to minimize padding. This has an added benefit of making the neural net run faster. It was, in fact, one of the methods used in the winning submission of the Quora Insincere challenge in Kaggle, where running time was of utmost importance.So, how do we do this? Let’s write a very simple custom dataset class first.

class CustomTextDataset(Dataset):
    '''
    Simple Dataset initializes with X and y vectors
    We start by sorting our X and y vectors by sequence lengths
    '''
    def __init__(self,X,y=None):
        self.data = list(zip(X,y))
        # Sort by length of first element in tuple
        self.data = sorted(self.data, key=lambda x: len(x[0]))
        
    def __len__(self):
        return len(self.data)

    def __getitem__(self, idx):
        return self.data[idx]

Also, let’s generate some random data which we will use with this custom Dataset.


import numpy as np
train_data_size = 1024
sizes = np.random.randint(low=50,high=300,size=(train_data_size,))
X = [np.random.randint(0,10000, (sizes[i])) for i in range(train_data_size)]
y = np.random.rand(train_data_size).round()
#checking one example in dataset
print((X[0],y[0]))

Example of one random sequence and label. Each integer in the sequence corresponds to a word in the sentence.

We can use the custom dataset now using:

train_dataset = CustomTextDataset(X,y)

If we now try to use the Dataloader on this dataset with batch_size>1, we will get an error. Why is that?

train_dataloader = DataLoader(train_dataset,batch_size = 64, shuffle=False, num_workers=10)
for xb,yb in train_dataloader:
    print(xb.size(),yb.size())

This happens because the sequences have different lengths, and our data loader expects our sequences of the same length. Remember that in the previous image example, we resized all images to size 224 using the transforms, so we didn’t face this error.

So, how do we iterate through this dataset so that each batch has sequences with the same length, but different batches may have different sequence lengths?

We can use

collate_fn

parameter in the DataLoader that lets us define how to stack sequences in a particular batch. To use this, we need to define a function that takes as input a batch and returns (

x_batch

y_batch

) with padded sequence lengths based on

max_sequence_length

in the batch. The functions I have used in the below function are simple NumPy operations. Also, the function is properly commented so you can understand what is happening.

def collate_text(batch):
    # get text sequences in batch
    data = [item[0] for item in batch]
    # get labels in batch
    target = [item[1] for item in batch]
    # get max_seq_length in batch
    max_seq_len = max([len(x) for x in data])
    # pad text sequences based on max_seq_len
    data = [np.pad(p, (0, max_seq_len - len(p)), 'constant') for p in data]
    # convert data and target to tensor
    data = torch.LongTensor(data)
    target = torch.LongTensor(target)
    return [data, target]

We can now use this collate_fn with our Dataloader as:

train_dataloader = DataLoader(train_dataset,batch_size = 64, shuffle=False, num_workers=10,collate_fn = collate_text)
for xb,yb in train_dataloader:
    print(xb.size(),yb.size())

See that the batches have different sequence lengths now

It will work this time as we have provided a custom collate_fn. And see that the batches have different sequence lengths now. Thus we would be able to train our BiLSTM using variable input sizes just like we wanted.

Training a Neural Network

We know how to create a neural network using

nn.Module

. But how to train it? Any neural network that has to be trained will have a training loop that will look something similar to below:

num_epochs = 5
for epoch in range(num_epochs):
    # Set model to train mode
    model.train()
    for x_batch,y_batch in train_dataloader:
        # Clear gradients
        optimizer.zero_grad()
        # Forward pass - Predicted outputs
        pred = model(x_batch)
        # Find Loss and backpropagation of gradients
        loss = loss_criterion(pred, y_batch)
        loss.backward()
        # Update the parameters
        optimizer.step()
    model.eval()
    for x_batch,y_batch in valid_dataloader:
        pred = model(x_batch)
        val_loss = loss_criterion(pred, y_batch)

In the above code, we are running five epochs and in each epoch:

We iterate through the dataset using a data loader.
In each iteration, we do a forward pass using
```
model(x_batch)
```
We calculate the Loss using a
```
loss_criterion
```
We back-propagate that loss using
```
loss.backward()
```
call. We don't have to worry about the calculation of the gradients at all, as this simple call does it all for us.
Take an optimizer step to change the weights in the whole network using
```
optimizer.step()
```
. This is where weights of the network get modified using the gradients calculated in
```
loss.backward()
```
call.
We go through the validation data loader to check the validation score/metrics. Before doing validation, we set the model to eval mode using
```
model.eval()
```
. Please note we don't back-propagate losses in eval mode.

Till now, we have talked about how to use

nn.Module

to create networks and how to use Custom Datasets and Dataloaders with Pytorch. So let's talk about the various options available for Loss Functions and Optimizers.

Loss functions

Pytorch provides us with a variety of for our most common tasks, like Classification and Regression. Some most used examples are , , and . You can read the documentation of each loss function, but to explain how to use these loss functions, I will go through the example of

The documentation for NLLLoss is pretty succinct. As in, this loss function is used for Multiclass classification, and based on the documentation:

the input expected needs to be of size (
```
batch_size
```
x
```
Num_Classes
```
) — These are the predictions from the Neural Network we have created.
We need to have the log-probabilities of each class in the input — To get log-probabilities from a Neural Network, we can add a
```
LogSoftmax
```
Layer as the last layer of our network.
The target needs to be a tensor of classes with class numbers in the range(0, C-1) where C is the number of classes.

So, we can try to use this Loss function for a simple classification network. Please note the LogSoftmax layer after the final linear layer. If you don't want to use this

LogSoftmax

layer, you could have just used

class myClassificationNet(nn.Module):
    def __init__(self):
        super().__init__()
        # Define all Layers Here
        self.lin = nn.Linear(784, 10)
        self.logsoftmax = nn.LogSoftmax(dim=1)
    def forward(self, x):
        # Connect the layer Outputs here to define the forward pass
        x = self.lin(x)
        x = self.logsoftmax(x)
        return x

Let’s define a random input to pass to our network to test it:

# some random input:
X = torch.randn(100,784)
y = torch.randint(low = 0,high = 10,size = (100,))

And pass it through the model to get predictions:

model = myClassificationNet()
preds = model(X)

We can now get the loss as:

criterion = nn.NLLLoss()
loss = criterion(preds,y)
loss
------------------------------------------
tensor(2.4852, grad_fn=<NllLossBackward>)

Custom Loss Function

Defining your custom loss functions is again a piece of cake, and you should be okay as long as you use tensor operations in your loss function. For example, here is the

customMseLoss

def customMseLoss(output,target):
    loss = torch.mean((output - target)**2)     
    return loss

You can use this custom loss just like before. But note that we don’t instantiate the loss using criterion this time as we have defined it as a function.

output = model(x)
loss = customMseLoss(output, target)
loss.backward()

If we wanted, we could have also written it as a class using nn.Module , and then we would have been able to use it as an object. Here is an NLLLoss custom example:

class CustomNLLLoss(nn.Module):
    def __init__(self):
        super().__init__()
    def forward(self, x, y):
        # x should be output from LogSoftmax Layer 
        log_prob = -1.0 * x
        # Get log_prob based on y class_index as loss=-mean(ylogp)
        loss = log_prob.gather(1, y.unsqueeze(1))
        loss = loss.mean()
        return loss
criterion = CustomNLLLoss()
loss = criterion(preds,y)

Optimizers

Once we get gradients using the loss.backward() call, we need to take an optimizer step to change the weights in the whole network. Pytorch provides a variety of different ready to use optimizers using the

torch.optim

module. For example: , , and the most widely used .

To use the most used Adam optimizer from PyTorch, we can simply instantiate it with:

optimizer = torch.optim.Adam(model.parameters(), lr=0.01, betas=(0.9, 0.999))

And then use

optimizer

zero_grad()

and

optimizer.step()

while training the model.

I am not discussing how to write custom optimizers as it is an infrequent use case, but if you want to have more optimizers, do check out the library, which provides a lot of other optimizers used in research papers. Also, if you anyhow want to create your own optimizers, you can take inspiration using the source code of implemented optimizers in or .

Other optimizers from library

Using GPU/Multiple GPUs

Till now, whatever we have done is on the CPU. If you want to use a GPU, you can put your model to GPU using

model.to('cuda')

. Or if you want to use multiple GPUs, you can use

nn.DataParallel

. Here is a utility function that checks the number of GPUs in the machine and sets up parallel training automatically using DataParallel if needed.

# Whether to train on a gpu
train_on_gpu = torch.cuda.is_available()
print(f'Train on gpu: {train_on_gpu}')# Number of gpus
if train_on_gpu:
    gpu_count = torch.cuda.device_count()
    print(f'{gpu_count} gpus detected.')
    if gpu_count > 1:
        multi_gpu = True
    else:
        multi_gpu = False
if train_on_gpu:
    model = model.to('cuda')
if multi_gpu:
    model = nn.DataParallel(model)

The only thing that we will need to change is that we will load our data to GPU while training if we have GPUs. It’s as simple as adding a few lines of code to our training loop.

num_epochs = 5
for epoch in range(num_epochs):
    model.train()
    for x_batch,y_batch in train_dataloader:
        if train_on_gpu:
            x_batch,y_batch = x_batch.cuda(), y_batch.cuda()
        optimizer.zero_grad()
        pred = model(x_batch)
        loss = loss_criterion(pred, y_batch)
        loss.backward()
        optimizer.step()
    model.eval()
    for x_batch,y_batch in valid_dataloader:
        if train_on_gpu:
            x_batch,y_batch = x_batch.cuda(), y_batch.cuda()
        pred = model(x_batch)
        val_loss = loss_criterion(pred, y_batch)

Conclusion

Pytorch provides a lot of customizability with minimal code. While at first, it might be hard to understand how the whole ecosystem is structured with classes, in the end, it is simple Python. In this post, I have tried to break down most of the parts you might need while using Pytorch, and I hope it makes a little more sense for you after reading this.You can find the code for this post here on my repo, where I keep codes for all my blogs.

If you want to learn more about Pytorch using a course based structure, take a look at the course by IBM on Coursera. Also, if you want to know more about Deep Learning, I would like to recommend this excellent course on in the .Thanks for the read. I am going to be writing more beginner-friendly posts in the future too. Follow me up at or Subscribe to my to be informed about them. As always, I welcome feedback and constructive criticism and can be reached on Twitter

Full disclosure: There are some affiliate links in this post to relevant resources, as sharing knowledge is never a bad idea.

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