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Neural networks are everywhere nowadays. But while it seems that

literally *everyone* is using a neural network today, creating and

training your own neural network for the first time can be quite

a hurdle to overcome. In this blog post I'll take you by the hand

and show you how to train an image classifier -- using PyTorch!

### Why not Keras?

Before we start, you might ask why I've chosen to use PyTorch,

and not Keras. Of course there are pros and cons for each of the

options, but I am not going to attempt to make a good overview here.

I'm not the right person to ask for a comparison because I

have no experience with Keras, so if you are looking for an article

on the differences between these (and possibly more) options

you could have a look here,

here

or here.

### Convolutional Neural Networks

The tool that we are going to use to make a classifier is called a

convolutional neural network, or CNN. You can find a great explanation

of what these are right

here on wikipedia.

But we are not going to fully train one ourselves: that would take way more time

than I would be willing to spend. Instead, we are going to do *transfer learning*,

where we take a pre-trained CNN and replace only the last layer by a layer

of our own. Then we only need to train that single layer, as all the other

layers already have weights that are quite sensible. Here we exploit the fact

that the images we are interested in have a lot of the same properties

as those images that the original network was trained on. You can find a

great explanation of transfer learning

here.

### Defining a neural network

Before we do any transfer learning, lets have a look at how we can define

our own CNN in PyTorch. Here is a minimal example:

from torch.nn import Conv2d, functional as F, Linear, MaxPool2d, Module class Net(Module): def __init__(self): super(Net, self).__init__() self.conv = Conv2d(3, 18, kernel_size=3, stride=1, padding=1) self.pool = MaxPool2d(kernel_size=2, stride=2, padding=0) self.fc1 = Linear(18 * 16 * 16, 64) self.fc2 = Linear(64, 10) def forward(self, x): x = F.relu(self.conv(x)) x = self.pool(x) x = x.view(-1, 18 * 16 * 16) x = F.relu(self.fc1(x)) x = self.fc2(x) return x

We define a neural network by creating a class that inherits from `Module`

.

When we initialise the network we define the layers of the network:

- a 2D convolutional layer,
- a max pooling layer,
- two linear layers.

In the `forward`

method we define what happens to any input `x`

that we feed

into the network. This argument `x`

is a PyTorch tensor (a multi-dimensional

array), which in our case is a batch of images that each

have 3 channels (RGB) and are 32 by 32 pixels: the shape of `x`

is then `(b, 3, 32, 32)`

where `b`

is the batch size.

The first statement of our `forward`

method applies the convolutional layer

to the input, which results in a 18-channel, 32 by 32 tensor for each input image.

Immediately after that we apply

the ReLU function.

Next, we apply the max pooling layer, which reduces the tensor to size `(b, 18, 16, 16)`

.

The `view`

method of `x`

reshapes the tensor to the specified shape, where the

value of `-1`

indicates that PyTorch is supposed to figure out this dimension: this

allows us to work with varying batch sizes. The result is a 1D vector of size 4608

for each element of our batch.

Finally, we apply the two linear (fully connected) layers with yet another

relu in between. This first reduces our shape from `(b, 4608)`

to `(b, 64)`

and then

to `(b, 10)`

: our output is 10 values for each image.

We can interpret these outputs as the some kind of probability for each

class to be the correct class: this model would be a classifier for 10 classes.

### Using a pre-trained model

If instead of defining our own model we want to use a pre-trained model,

PyTorch provides quite a few that we can easily use. All we need to do to use

Squeezenet for example is:

from torchvision.models import squeezenet1_0 model = squeezenet1_0(pretrained=True)

We can have a look at the structure of this model by simply printing it:

`print(model)`

gives us:

SqueezeNet( (features): Sequential( (0): Conv2d(3, 96, kernel_size=(7, 7), stride=(2, 2)) (1): ReLU(inplace) (2): MaxPool2d(kernel_size=3, stride=2, padding=0, dilation=1, ceil_mode=True) (3): Fire( (squeeze): Conv2d(96, 16, kernel_size=(1, 1), stride=(1, 1)) (squeeze_activation): ReLU(inplace) (expand1x1): Conv2d(16, 64, kernel_size=(1, 1), stride=(1, 1)) (expand1x1_activation): ReLU(inplace) (expand3x3): Conv2d(16, 64, kernel_size=(3, 3), stride=(1, 1), padding=(1, 1)) (expand3x3_activation): ReLU(inplace) ) ... ) (classifier): Sequential( (0): Dropout(p=0.5) (1): Conv2d(512, 1000, kernel_size=(1, 1), stride=(1, 1)) (2): ReLU(inplace) (3): AvgPool2d(kernel_size=13, stride=1, padding=0) ) )

The network consists of two parts: the `features`

and the `classifier`

.

I've truncated the output of the `features`

part in order to keep some

readability: it contains 12 layers out of which eight are `Fire`

modules.

These modules contain six sublayers and are the defining feature of Squeezenet,

read more about them here.

For us the `classifier`

part is much more interesting though: this is where

the network makes the final classification based on the features that were

created in the previous layers. If we want to do transfer learning, this

is the layer that we want to replace.

Note that Squeezenet was designed for and trained upon an

ImageNet

data set, which contains 1000 classes. We can replace the `Conv2d`

layer

with our own layer with the appropriate number of classes. For example:

model.num_classes = n_classes model.classifier[1] = nn.Conv2d(512, n_classes, kernel_size=(1, 1), stride=(1, 1))

Here we also set the `num_classes`

attribute of the network which is internally

used to re-shape the final output of the network.

### Training

Now that we have a model set up, the next step is training it. For that

we need the following train loop:

from torch.nn import CrossEntropyLoss from torch.optim import SGD model.train() criterion = CrossEntropyLoss() optimizer = SGD(model.parameters(), lr=1E-3, momentum=0.9) for inputs, labels in loader: optimizer.zero_grad() outputs = model(inputs) loss = criterion(outputs, labels) loss.backward() optimizer.step()

First, we set the model to training mode -- I'll explain below what that means.

Next, we define our loss,

Cross-Entropy loss, and our optimizer:

Stochastic Gradient Descent.

Let's not worry about the parameters of the optimizer just yet.

The we start the training loop. We loop over the contents of a `loader`

object,

which we'll look at in a minute. Every iteration it yields two items:

the `inputs`

and the `labels`

. They are PyTorch tensors of which the

first dimension is the batch size. The `inputs`

can be

directly fed to the model, while `labels`

has the single dimension of which

the size is equal to the batch size: it represents the class of each image.

We start each iteration by resetting the optimizer by calling `zero_grad`

,

and then feeding the inputs through the model. Next, we use our loss function

to compute the loss on the results of the model. While we do those computations

PyTorch automatically tracks our operations and when we call `backward()`

on

the result it calculates the derivative (gradient) of each of the steps

with respect to the inputs. This gradient is then what the optimizer can

use to optimize the weights when we call `step()`

.

We call the full training loop over all elements in the loader an *epoch*.

### Evaluation

After training for one or more epochs you are probably interested in the

performance of your network. We can evaluate that by computing the total

loss on the evaluation set, like this:

from torch import max, no_grad model.eval() loss = 0 with no_grad(): for inputs, labels in loader: outputs = model(inputs) loss += criterion(outputs, labels) _, predictions = max(outputs.data, dim=1) ...

First we need to set our model to evaluation mode (which is the same

as disabling the training mode using `.train(False)`

). This disables features

that are handy using train time, such as

dropout, in

order to get the maximum performance out of our network. Next, we enter the

`no_grad`

context, in which the automatic computation of gradients is disabled:

we do not need that during evaluation.

Then we have a loop similar to the one in the training case: we loop over

the `inputs`

and the `labels`

from the loader, pass the `inputs`

to the model

and calculate the loss. In addition, we could inspect the predictions of the

model (and possibly use them) by using the `torch.max`

function, which returns

a tuple of (maximum values, positions). These positions correspond to the output

node (and hence class) that has the highest probability according to our model,

which we can interpret as the index of the most probable class.

### The loader

Of course data is essential to either training or evaluating a classifier.

In the previous two segments we looped through the contents of this `loader`

object, which we did not define before. In order to create it, we must first

define a data set.

Of course a single data set is not enough: we need both a training and a testing

data set. In addition you may want to have a validation data set as well.

Assuming that you have your images in a folder structure like this:

images/ train/ class_1/ class_2/ ... train/ class_1/ class_2/ ...

we can define the data sets as follows:

from torchvision import transforms from torchvision.datasets import ImageFolder train_transform = transforms.Compose([ transforms.RandomResizedCrop(224), transforms.RandomHorizontalFlip(), transforms.ToTensor(), ]) test_transform = transforms.Compose([ transforms.Resize(256), transforms.CenterCrop(224), transforms.ToTensor() ]) train_set = ImageFolder('images/train', transform=train_transform) test_set = ImageFolder('images/test', transform=test_transform)

To each image set we provide a transformation which tells PyTorch what to

do with the images when reading them. We define two transformations,

one for each data set.

Let's have a look at the `test_transform`

first: when we read a test image, we

- resize the image such that the smallest dimension of the image is 256 pixels, then we
- crop a square of 224 x 224 pixels from the center of the resized image, and finally
- convert the result to a tensor so that PyTorch can pass it through a model.

In the `train_transform`

we do something different: we

- randomly take a crop of a random size (between certain limits) and aspect ratio and resize that to 224x224,
- randomly flip the image horizontally, and finally
- convert the result to a tensor.

This means that although the model will encounter each training image once during

every epoch, the exact images it will be seeing vary from epoch to epoch: sometimes

it will be seeing most of the image and other times it will see only a small crop.

Since most objects still look roughly the same when we horizontally flip the image,

we want the model to also learn from the flipped images. Vertically flipped (upside-down)

images usually do not look like the same object anymore, so we only flip horizontally.

All this randomly transforming the training images helps to prevent our model

to overfit:

it cannot learn by heart that a small portion of an image belongs to a certain

label because every epoch it sees a different subset of the image.

Once we have defined the data sets, we can create the loaders:

from torch.utils.data import DataLoader train_loader = DataLoader( dataset=train_set, batch_size=32, num_workers=4, shuffle=True, ) test_loader = DataLoader( dataset=test_set, batch_size=32, num_workers=4, shuffle=True, )

To each we provide the respective data set, and we specify that:

- the batch size is 32 (feel free to try other values),
- we want four processes to read and transform the images, and
- we want to read the images in random order.

Now we have all ingredients to really start training our model! But...

### Learning rate

Back when we defined the optimizer,

optimizer = SGD(model.parameters(), lr=1E-3, momentum=0.9)

we skipped over its parameters. And especially the first one, `lr`

, the *learning rate*,

is very important. This parameter defines how much the weights will be changed

in every optimization step. In other words, it defines our step size when we are

looking for the most optimal set of weights.

Let's have a look at a 1D example. Suppose we are looking to find the minimum value

in the curves depicted below. If our learning rate is too large then we might

actually walk away from the minimum, as we see on the left. If, on the other hand

our learning rate is too low, we will be moving very slowly and we run the risk

of getting stuck in a local optimum.

Now you might be inclined to perform a classical hyper-parameter search, by simply

trying out a lot of values for the learning rate and seeing how well the model

performs in the end. But training a single

models takes *at least* a few hours on a decent GPU, so training tens (or hundreds!)

of these models would become a costly affair.

A better way to figure out the optimal value of the learning rate is to do a learning

rate sweep: we train our model for a number of batches for a range of learning

rates. In the example here I've included a little pseudocode:

def set_learning_rate(optimizer, learning_rate): for param_group in optimizer.param_groups: param_group['lr'] = learning_rate learning_rates = np.logspace(min_lr, max_lr, num=n_steps) results = [] for learning_rate in learning_rates: set_learning_rate(optimizer, learning_rate) train_batches(...) results.append(evaluate(...))

The result should look something like this:

We see that in the beginning we learn very very slowly, but it improves

after a while. Then, when the learning rate passes some point around (10^{-2}) we

see the performance of our network going down (the loss goes up), up to the

point where the results are terrible. Your ideal setting is there where the

improvement is the fastest, i.e. where the line goes down the steepest. For the above

example that would be somewhere around (10^{-3}).

After the sweep, do not forget to reset the network to the state before you did the sweep,

as the batches with the highest learning rates will most likely have ruined

your networks' performance.

### Learning rate scheduler

Unfortunately doing a sweep once is not enough, as the best learning rate depends on

the state of our network. The closer we come to the ideal weights, the lower we should

set our learning rate. We can solve this by using a learning rate scheduler.

For example, we can use the `ReduceLROnPlateau`

scheduler which decreases the learning

rate when the loss has been stable for a while:

from torch.optim.lr_scheduler import ReduceLROnPlateau scheduler = ReduceLROnPlateau(optimizer, factor=0.5, patience=10)

This scheduler is configured to reduce the learning rate by a factor 2 if the

performance was stable for 10 epochs.

All we have to do next is call `scheduler.step(test_loss)`

after every epoch,

and the scheduler will automatically adapt the learning rate to the situation.

The result will look something like the figure below: every once in a while the scheduler

will decide to reduce the learning rate when it thinks the loss is not improving

enough.

Now all that you need to start making your own image classifier is a data set!

### Where next?

If you're looking for more example code, have a look at this project

which I used to build an image classifier that can recognize skylines of a few large cities.

I gave a talk about the project on EuroPython 2019, of which you can find the

slides here.

And of course the PyTorch docs are your

friend whenever you are building something like this!

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