The original tutorial there is no padding. I am preparing a version with padding and
The change of the size is modified from:

3*32*32   conv2d(kernal = 5*5)==>    6*28*28    pooling ==> 6*14*14   conv2d(kernel=5*5) ==> 16*10*10  pooling(16*5*5)


to:
3*32*32 padding(2) ==>3*36*36   conv2d(kernal = 5*5)==>    6*32*32    pooling ==> 6*16*16 padding(2) ==>6*20*20   conv2d(kernel=5*5) ==> 16*16*16  pooling(16*8*8)


The code is here(GPU version):
# -*- coding: utf-6 -*-

"""
modified by jimmy shen from the official tutorial
http://pytorch.org/tutorials/beginner/blitz/cifar10_tutorial.html#sphx-glr-beginner-blitz-cifar10-tutorial-py

the zero padding is added before doing the conv.
The change of the size is modified from:

3*32*32   conv2d(kernal = 5*5)==>    6*28*28    pooling ==> 6*14*14   conv2d(kernel=5*5) ==> 16*10*10  pooling(16*5*5)


to:
3*32*32 padding(2) ==>3*36*36   conv2d(kernal = 5*5)==>    6*32*32    pooling ==> 6*16*16 padding(2) ==>6*20*20   conv2d(kernel=5*5) ==> 16*16*16  pooling(16*8*8)


"""

"""
Training a classifier
===================

This is it. You have seen how to define neural networks, compute loss and make
updates to the weights of the network.

Now you might be thinking,

What about data?
----------------

Generally, when you have to deal with image, text, audio or video data,
you can use standard python packages that load data into a numpy array.
Then you can convert this array into a ``torch.*Tensor``.

-  For images, packages such as Pillow, OpenCV are useful
-  For audio, packages such as scipy and librosa
-  For text, either raw Python or Cython based loading, or NLTK and
   SpaCy are useful

Specifically for vision, we have created a package called
``torchvision``, that has data loaders for common datasets such as
Imagenet, CIFAR10, MNIST, etc. and data transformers for images, viz.,
``torchvision.datasets`` and ``torch.utils.data.DataLoader``.

This provides a huge convenience and avoids writing boilerplate code.

For this tutorial, we will use the CIFAR10 dataset.
It has the classes: ‘airplane’, ‘automobile’, ‘bird’, ‘cat’, ‘deer’,
‘dog’, ‘frog’, ‘horse’, ‘ship’, ‘truck’. The images in CIFAR-10 are of
size 3x32x32, i.e. 3-channel color images of 32x32 pixels in size.

.. figure:: /_static/img/cifar10.png
   :alt: cifar10

   cifar10


Training an image classifier
----------------------------

We will do the following steps in order:

1. Load and normalizing the CIFAR10 training and test datasets using
   ``torchvision``
2. Define a Convolution Neural Network
3. Define a loss function
4. Train the network on the training data
5. Test the network on the test data

1. Loading and normalizing CIFAR10
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

Using ``torchvision``, it’s extremely easy to load CIFAR10.
"""
import torch
import torchvision
import torchvision.transforms as transforms

########################################################################
# The output of torchvision datasets are PILImage images of range [0, 1].
# We transform them to Tensors of normalized range [-1, 1].

transform = transforms.Compose(
    [transforms.ToTensor(),
     transforms.Normalize((0.5, 0.5, 0.5), (0.5, 0.5, 0.5))])

trainset = torchvision.datasets.CIFAR10(root='./data', train=True,
                                        download=True, transform=transform)
trainloader = torch.utils.data.DataLoader(trainset, batch_size=4,
                                          shuffle=True, num_workers=2)

testset = torchvision.datasets.CIFAR10(root='./data', train=False,
                                       download=True, transform=transform)
testloader = torch.utils.data.DataLoader(testset, batch_size=4,
                                         shuffle=False, num_workers=2)

classes = ('plane', 'car', 'bird', 'cat',
           'deer', 'dog', 'frog', 'horse', 'ship', 'truck')

########################################################################
# Let us show some of the training images, for fun.

import matplotlib.pyplot as plt
import numpy as np

# functions to show an image


def imshow(img):
    img = img / 2 + 0.5     # unnormalize
    npimg = img.numpy()
    plt.imshow(np.transpose(npimg, (1, 2, 0)))
    plt.show()

# get some random training images
dataiter = iter(trainloader)
images, labels = dataiter.next()

# show images
imshow(torchvision.utils.make_grid(images))
# print labels
print(' '.join('%5s' % classes[labels[j]] for j in range(4)))


########################################################################
# 2. Define a Convolution Neural Network
# ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
# Copy the neural network from the Neural Networks section before and modify it to
# take 3-channel images (instead of 1-channel images as it was defined).

from torch.autograd import Variable
import torch.nn as nn
import torch.nn.functional as F


class Net(nn.Module):
    def __init__(self):
        super(Net, self).__init__()
        self.conv1 = nn.Conv2d(3, 6, 5)
        self.pool = nn.MaxPool2d(2, 2)
        self.pad  = nn.ZeroPad2d(2)
        self.conv2 = nn.Conv2d(6, 16, 5)
        self.fc1 = nn.Linear(16 * 8 * 8, 120)
        self.fc2 = nn.Linear(120, 84)
        self.fc3 = nn.Linear(84, 10)

    def forward(self, x):
        x = self.pad(x)
        x = self.pool(F.relu(self.conv1(x)))
        x = self.pad(x)
        x = self.pool(F.relu(self.conv2(x)))
        x = x.view(-1, 16 * 8 * 8)
        x = F.relu(self.fc1(x))
        x = F.relu(self.fc2(x))
        x = self.fc3(x)
        return x


net = Net()
print(net)
net.cuda()
########################################################################
# 3. Define a Loss function and optimizer
# ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
# Let's use a Classification Cross-Entropy loss and SGD with momentum.

import torch.optim as optim

criterion = nn.CrossEntropyLoss()
optimizer = optim.SGD(net.parameters(), lr=0.001, momentum=0.9)

########################################################################
# 4. Train the network
# ^^^^^^^^^^^^^^^^^^^^
#
# This is when things start to get interesting.
# We simply have to loop over our data iterator, and feed the inputs to the
# network and optimize.

for epoch in range(1):  # loop over the dataset multiple times

    running_loss = 0.0
    for i, data in enumerate(trainloader, 0):
        # get the inputs
        inputs, labels = data

        # wrap them in Variable
        inputs, labels = Variable(inputs.cuda()), Variable(labels.cuda())

        # zero the parameter gradients
        optimizer.zero_grad()

        # forward + backward + optimize
        outputs = net(inputs)
        loss = criterion(outputs, labels)
        loss.backward()
        optimizer.step()


        # print statistics
        running_loss += loss.data[0]
        if i % 2000 == 1999:    # print every 2000 mini-batches
            print('[%d, %5d] loss: %.3f' %
                  (epoch + 1, i + 1, running_loss / 2000))
            running_loss = 0.0

print('Finished Training')

########################################################################
# 5. Test the network on the test data
# ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
#
# We have trained the network for 2 passes over the training dataset.
# But we need to check if the network has learnt anything at all.
#
# We will check this by predicting the class label that the neural network
# outputs, and checking it against the ground-truth. If the prediction is
# correct, we add the sample to the list of correct predictions.
#
# Okay, first step. Let us display an image from the test set to get familiar.

dataiter = iter(testloader)
images, labels = dataiter.next()

# print images
imshow(torchvision.utils.make_grid(images))
print('GroundTruth: ', ' '.join('%5s' % classes[labels[j]] for j in range(4)))

########################################################################
# Okay, now let us see what the neural network thinks these examples above are:

outputs = net(Variable(images.cuda()))

########################################################################
# The outputs are energies for the 10 classes.
# Higher the energy for a class, the more the network
# thinks that the image is of the particular class.
# So, let's get the index of the highest energy:
_, predicted = torch.max(outputs.data, 1)

print('Predicted: ', ' '.join('%5s' % classes[predicted[j]]
                              for j in range(4)))

########################################################################
# The results seem pretty good.
#
# Let us look at how the network performs on the whole dataset.

correct = 0
total = 0
for data in testloader:
    images, labels = data
    outputs = net(Variable(images.cuda()))
    _, predicted = torch.max(outputs.data, 1)
    total += labels.size(0)
    correct += (predicted.cuda() == labels.cuda()).sum()

print('Accuracy of the network on the 10000 test images: %d %%' % (
    100 * correct / total))

########################################################################
# That looks waaay better than chance, which is 10% accuracy (randomly picking
# a class out of 10 classes).
# Seems like the network learnt something.
#
# Hmmm, what are the classes that performed well, and the classes that did
# not perform well:

class_correct = list(0. for i in range(10))
class_total = list(0. for i in range(10))
for data in testloader:
    images, labels = data
    outputs = net(Variable(images.cuda()))
    _, predicted = torch.max(outputs.data, 1)
    c = (predicted.cuda() == labels.cuda()).squeeze()
    for i in range(4):
        label = labels[i]
        class_correct[label] += c[i]
        class_total[label] += 1


for i in range(10):
    print('Accuracy of %5s : %2d %%' % (
        classes[i], 100 * class_correct[i] / class_total[i]))

########################################################################
# Okay, so what next?
#
# How do we run these neural networks on the GPU?
#
# Training on GPU
# ----------------
# Just like how you transfer a Tensor on to the GPU, you transfer the neural
# net onto the GPU.
# This will recursively go over all modules and convert their parameters and
# buffers to CUDA tensors:
#
# .. code:: python
#
#     net.cuda()
#
#
# Remember that you will have to send the inputs and targets at every step
# to the GPU too:
#
# ::
#
#         inputs, labels = Variable(inputs.cuda()), Variable(labels.cuda())
#
# Why dont I notice MASSIVE speedup compared to CPU? Because your network
# is realllly small.
#
# **Exercise:** Try increasing the width of your network (argument 2 of
# the first ``nn.Conv2d``, and argument 1 of the second ``nn.Conv2d`` –
# they need to be the same number), see what kind of speedup you get.
#
# **Goals achieved**:
#
# - Understanding PyTorch's Tensor library and neural networks at a high level.
# - Train a small neural network to classify images
#
# Training on multiple GPUs
# -------------------------
# If you want to see even more MASSIVE speedup using all of your GPUs,
# please check out :doc:`data_parallel_tutorial`.
#
# Where do I go next?
# -------------------
#
# -  :doc:`Train neural nets to play video games </intermediate/reinforcement_q_learning>`
# -  `Train a state-of-the-art ResNet network on imagenet`_
# -  `Train a face generator using Generative Adversarial Networks`_
# -  `Train a word-level language model using Recurrent LSTM networks`_
# -  `More examples`_
# -  `More tutorials`_
# -  `Discuss PyTorch on the Forums`_
# -  `Chat with other users on Slack`_
#
# .. _Train a state-of-the-art ResNet network on imagenet: https://github.com/pytorch/examples/tree/master/imagenet
# .. _Train a face generator using Generative Adversarial Networks: https://github.com/pytorch/examples/tree/master/dcgan
# .. _Train a word-level language model using Recurrent LSTM networks: https://github.com/pytorch/examples/tree/master/word_language_model
# .. _More examples: https://github.com/pytorch/examples
# .. _More tutorials: https://github.com/pytorch/tutorials
# .. _Discuss PyTorch on the Forums: https://discuss.pytorch.org/
# .. _Chat with other users on Slack: http://pytorch.slack.com/messages/beginner/