ELEC5307 Deep Learning Parameters in Neural Networks

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ELEC5307 Deep Learning
Project #1: Parameters in Neural Networks
Due: 23 Oct 2020 11:59PM
1 Objectives
This laboratory aims to introduce the basic techniques in deep neural networks. In this laboratory
you will:
• Learn to use PyTorch to load images and train a neural network for classification.
• Understand the functions of convolutional layers, pooling layers, fully connected layers
and softmax layer, etc.
• Become familiar with the activation methods, pooling and initialization methods.
• Learn to select proper hyperparameters for better performance.
• Visualize your results and the objective to learn how different parameters contribute to
the final performance.
2 Instructions
2.1 Data description: CIFAR-10
You need to use the CIFAR-10 image dataset. The CIFAR-10 dataset consists of 60000 images
in 10 classes, with 6000 images per class. There are 50000 training images and 10000 test
images, which are split by the publisher. The details and the downloads of the dataset is in
www.cs.toronto.edu/~kriz/cifar…
The classes include ‘airplane’, ‘automobile’, ‘bird’, ‘cat’, ‘deer’, ‘dog’, ‘frog’, ‘horse’, ‘ship’,
and ‘truck’. All the images are manually labelled, and each image only contains one label. The
images in CIFAR-10 are of size 3x32x32, i.e. 3-channel colour images of 32x32 pixels in size. In
some applications, each image has already been reshaped into a vector with dimension of 3072
(= 3 × 32 × 32).
In PyTorch, you can use the function torchvision.datasets.CIFAR10 to automatically
download and read the dataset and the function torch.utils.data.DataLoader to load the
data (training and test) into your network.
2.2 Hyperparameters
Hyperparameters are crucial to your success in training a neural network. The weights of neural
networks will be modified during learning, and the hyperparameters will contribute to the
modification of input images, the number of weights, and the way to update the weights. Here
are some groups of hyperparameters. For more hyperparameters and their usage in PyTorch,
please refer to the official documentation website (pytorch.org/docs/stable….
html) and PyTorch Forum (discuss.pytorch.org).
Deep Learning 1Project #1: Parameters in Neural Networks
2.2.1 Transformation
This will influence the input images. The basic idea to conduct transformation is to add data
(called data augmentation in deep learning). The neural network contains many weights to
modify, which 代 写ELEC5307 Deep Learning Parameters in Neural Networks requires many images. However, the provided data are always not enough. By
making transformations, one image could be fed into the networks using different patches or
sizes, which could increase the size of training set.
These operations are included in torchvision.transforms. Some of the options are:
• resize: The images can be resized to square image or larger/smaller. Almost all the
transformation will need the resize operation.
• crop: You can crop the center (CenterCrop), or center plus the four corners (FiveCrop),
or crop at a random location((RandomCrop)).
• flip: The images may occur from different view, so flip horizontally (RandomHorizontalFlip)
or vertically (RandomVerticalFlip) could provide more possibilities of the images.
• affine: This will modify the image by rotation or translation. It is not suitable to predefine
some affine function because of the diversity of images, so torchvision only contains
(RandomAffine).
• normalization The pixel values of the images are normalized to [0, 1] using this operation.
You need to use the global mean and standard deviation of the whole dataset if you
train the model from scratch. If you would want to fine-tune a model from some model
pretrained on ImageNet, you need to use the values from ImageNet.
Please note that the normalization operation is not for data augmentation but for faster
convergence. The rest four operations mentioned above are used for data augmentation.
2.2.2 Network Structure
These parameters will influence the structure of the neural networks. The most important
indicator is the capacity of the network, which is roughly equal to the number of parameters.
In that case, the deeper and wider the network is, the better potential performance it could
provide. However, you need to make sure the parameters are constrained carefully.
The operations are included in (torch.nn). Some of the options are:
• Depth: Roughly speaking, the deeper network will have the potential to provide better
results. However, when the network becomes deeper, it will be more difficult to train as
the gradients are more possible to vanish or explode.
• Activation function: The most commonly used are ReLU, Tanh and Sigmoid. These
functions provide non-linearity to the neural network.
• Pooling method: The common choices are max pooling (MaxPool2d) and average pooling
(AvgPool2d). The size and stride of the pooling layers will change the sizes of feature
maps (i.e. width and height).
• Channel size: The input channel is 3 (for three colour channels R/G/B), and the output
channel should be the number of classes (10 for CIFAR-10). From shallow layers to deep
layers, the channel number always gradually increase (with the width and height numbers
decreasing). The larger the channel number, the more time you will need for both forward
and backward process. In PyTorch, fully connected layers can be basically defined as
Linear(in channel, out channel), 2-D convolutional layers can be basically defined
as Conv2d(in channel, out channel, kernel).
ELEC5307 Deep Learning 2Project #1: Parameters in Neural Networks
• Convolutional parameters: The kernel size, zero padding number and stride will influence
your output width and height by Woutput = (Winput−Kernel+2×Padding)/Stride+

  1. You can try to use kernel size as 3 × 3, 5 × 5 and 7 × 7. By default, we do not want the
    convolutional layers change the width/height of the feature maps, so you can select stride
    and zero padding accordingly. For example, if you have kernel size 5 × 5, we always need
    the zero padding as 2 and stride as 1.
    • Dropout: This layer (Dropout) is a method of regularization, which will randomly set
    zeros to some weights in the according layer.
    2.2.3 Training Process
    The training process is affected by how the data are fed into the network and how the weights are
    initialized and updated. The data are fed into the network using torch.utils.data.DataLoader.
    Some of the options are:
    • shuffle: By default, we usually shuffle the input data in the training and validation part
    and do not shuffle the input data in test part.
    • batch size: The larger batch size can often help you get better results, but it is limited by
    your memory size (computer memory or GPU memory). There are also some exceptions
    that larger batch sizes will make the performance worse, so you need to be careful in
    selecting this value.
    The weights can be initialized from pretrained model or by using torch.nn.init, where
    the options includes Xavier, Nomal, Uniform, and Constant, etc.
    The weights will be updated in backward process according to the objective function, optimization
    function and learning rate. The objective functions are treated as special layers in
    PyTorch in torch.nn, and the optimization operations can be found in torch.optim, and
    some options are listed as below:
    • Epochs: One epoch means a period that the network has been trained by seeing every
    training image. After several epochs, your training loss and validation accuracy will not
    change much. You need to set a good number of epoch in order to get the best accuracy
    and avoid overfitting.
    • Objective function: The cross-entropy loss (torch.nn.CrossEntropyLoss) is always
    used in the classification problems. The soft-margin loss (torch.nn.SoftMarginLoss)
    and least square error (torch.nn.MSELoss) are also included mainly for binary classification
    problems.
    • Update methods: The commonly used methods are Adam(torch.optim.Adam) and
    SGD(torch.optim.SGD). The parameters that are to be determined include the base
    learning rate(lr), momentum rate((momentum)) and regularizer weight((weight decay)).
    You can also set different learning rate on different layers.
    • Base learning rate: Larger learning rate (around 0.1) will change the weights dramatically,
    but will be useful when you train the model from scratch. Smaller learning rate
    (0.01 0.0001) will be useful in fine-tuning from the pretrained models.
    • Learning rate scheduler: The learning rate need to be cut down as the training is
    proceeding. The commonly used are step, multiple-step and exponential. You can write
    the update policy by yourself or use the methods in torch.optim.lr scheduler.
    ELEC5307 Deep Learning 3Project #1: Parameters in Neural Networks
    2.3 Result analysis
    In order to train a deep learning model successfully, the results of the network should be carefully
    analyzed. The best way to analyze results is to visualize the values.
    • The loss curve for both training and validation. Ideally, both losses should decrease and
    converge after several epochs. If the training loss is still going down but the validation
    loss is increasing, then the model is overfitting. If the losses are still going down when
    you finish, then the model is underfitting. You should try to avoid both situations in a
    reasonable number of epochs.
    • The accuracy changes in the training set and validation set. The values should be increasing
    as the epoch is increasing. The pattern should be similar to the changes of losses but
    in an opposite direction.
    3 Experiments
    In the experiments, your job is to build a neural network for the classification in CIFAR10 and
    analyze the results generated from different hyperparameters. Your task includes three parts.
    • The first part is about running a baseline model. You need to run a baseline model and
    provide your visualization results.
    • The second part is about finding suitable parameters from the given options. You will
    be given several options of batch size, base learning rate and number of epochs,
    try to find the optimal combination of all these three hyperparameters to get the best
    performance.
    • The third part is about other options. You need to firstly train a new baseline model and
    then according to Appendix: Tasks for Part3, analyze the effect of each hyperparameters
    to your result.
    The detailed descriptions are as follows.
    3.1 Part1: Baseline structure
    You need to go through the part one of the 'project1_2024.ipynb' file first and run the baseline code. 
    This file is modified based on the official tutorial from PyTorch: pytorch.org/
    tutorials/_downloads/cifar10_tutorial.ipynb. However, please note that their settings are 
    far from ideal.
    For this reference and other references, if you used their codes, please point out in comments 
    and in the end of your submission in the ‘Reference’ part. You will be punished if you use all 
    others’ codes without changing anything by yourself. You are also be punished if you used 
    others’ codes but did not indicate in your submission.
    You need to split your dataset into three parts: training, validation and test. The test dataset 
    is ready by default, and you need to separate several images (always smaller than the number of 
    test set) as validation set in your training. The validation set will help you avoid overfitting 
    problems.
    The average time for running one epoch of such network is around 1-5 minutes depending 
    on the type of your cpu/gpu. The speed is low because the dataset is quite large. In that case, 
    you can try to randomly select a bit data from the original dataset to check the performance. 
    This technique is very useful when you face with large datasets so that you can quickly see the 
    results instead of waiting for a long time.
    ELEC5307 Deep Learning 4Project #1: Parameters in Neural Networks
    3.2 Part2: Select hyperparamaters
    To successfully train this network, you need to select the proper batch size, base learning
    rate and number of epochs. The options are as below:
    • batch size: 2, 4, 8
    • base learning rate: 0.005, 0.001, 0.0005, 0.0001, 0.00005, 0.00001
    • number of epochs: 1, 2, 4, 8, 16
    Your job is to select the hyperparameters that will help to train the network to get the best
    performance in the test set. Meanwhile, the training time should be as short as possible, which
    means you should not leave the network training for a super long time even it has converged
    judging from the loss curve.
    You are supposed to run the codes for several times, plot the corresponding loss curves
    for training and validation, compute the accuracy for validation and test, and finally make a
    decision. Please do NOT change the other hyperparameters in the given network for this part.
    In the writing part, please provide your output images and your analysis. Your analysis should
    include but are not limited to:
    • What are the choices that could be empirically ignored without doing any experiments?
    Were you correct after you conduct the experiments?
    • How many epochs are passed when the network is converged?
    • Why too large or too small learning rates are not good choices?
    • What are the specification of the computer you are using? E.g. the cpu/gpu type and
    the corresponding memory.
    • How long do you run an epoch? Did you use samples of the original dataset to speed up
    your progress, and how did it work?
    • Are there any overfitting problems?
    3.3 Part3: Other hyperparameters
    For now you are supposed to have the ability to train a neural network. The rest of the
    experiment is to build a brand new neural network as a baseline and play with some other
    hyperparameters.
    Although you have learned the structures of different predefined neural networks, you are
    not allowed to use them in Project 1. Instead, you should only build a network that contains:
    • 3 convolutional layers, with the activation functions and pooling layers after each convolutional
    layers.
    • 3 fully connected layers right after the last pooling layer. Please remember to make
    changes of the data shapes (using function view) to make the feature maps flow into the
    fully connected layer smoothly.
    • 1 output layer, which is also a fully connected layer, but the output channel should be 10
    (the number of classes).
    For the channel sizes and convolutional parameters, you are free to select your own hyperparameters.
    However, since you are supposed to train the network using cpus, please do not
    ELEC5307 Deep Learning 5Project #1: Parameters in Neural Networks
    make layers with very large number of channels. The channel numbers for convolutional layer
    should be no larger than 256, and the channel numbers for fully connect layers should be no
    larger than 1024.
    After you build your baseline model, you need to do the analysis on THREE kinds of
    hyperparameters. The hyperparameters you are going to play with are defined by your SID as
    indicated in Appendix: Tasks for Part3. For each of the three subtasks, you can play with all
    the parameters in the methods. For example, you can select any number for weight decay and
    momentum if you are playing with SGD.
    Please analyze the three tasks and select the best choice for your own network. You can
    also change the other hyperparameters in 2.2 to better suit each choice, e.g. batch size, learning
    rate, etc., but please remember to control variables while you make the analysis. Please note
    that your modifications of the hyperparameters based on your baseline network may or may not
    improve the accuracy. You need to figure out how the hyperparameters influence the results
    and explain why. The analysis should be included in the written part in the .ipynb file.
    You need to write ONE single python file (not a .ipynb file) that includes your baseline
    network and your modified network with your trained files, and the output of this python file
    should be the accuracy of the test set based on your own models. Your accuracy on test dataset
    is also marked based on your baseline or modified network whichever is higher.
    4 Submission and Grades
    You are supposed to finish this project on your own. Your submission should include the Jupyter
    Notebook (‘project1.ipynb’) with your modification and written analyses, and the Python file
    (‘project1.py’) with your trained model (named ‘baseline.pth’ and ‘modified.pth’ respectively).
    The files should be in a .zip file named as ‘project1 firstname lastname yourSID.zip’ with
    no spaces in the file name and submitted through Canvas. The .zip file can contain some of
    the images if necessary. Your codes need to be well commented and the written part in the
    notebook file need to have clear sections. The final grades are given based on the following
    criteria. For detailed marking scheme, please refer to Appendix: Marking Scheme.
    • Your submissions should strictly follow the instructions.
    • Your accuracy need to be no smaller than 70% either using your new baseline network or
    your modified network.
    • Your codes are correct and well organized. Your codes are well commented and the
    references are clear.
    • The written part are well organized and has few typos. The report should contain the
    correct formulas when they are necessary.
    • You have covered all the three hyperparameters you are assigned. If you did the wrong
    task, the corresponding analysis will not be marked and you will also be punished.
    • The visualization results are clear and well defined.
    • You have shown your insights into the parameters and drawn some reasonable conclusions.
    • No copy from your classmates. If you and some of your classmates copied codes from the
    same online resource, you will also be penalized if you do not make any modifications or
    provide the reference.
    • Give references on all the codes and papers you referred to.
    ELEC5307 Deep Learning 6Project #1: Parameters in Neural Networks
    Appendix: Tasks for Part3
    The task you are going to do depend on the last three digits from your SID (the 9-digit on
    your student card).
    Digits Transformation (3rd last digit) Structure (2nd last digit) Training (last digit)
    0/1 RandomCrop+Resize Channel number lr scheduler: Exponential
    2/3 Flip+Resize Activation method lr scheduler: Step
    4/5 Affine+Resize add Dropout layers lr scheduler: MultiStep
    6/7 CenterCrop/FiveCrop+Resize Kernel size lr scheduler: Lambda
    8/9 Normalize+Resize Pooling method optimizer: SGD settings
    For example, if your SID is 470XXX364, your choice should be Flip+Resize, Kernel size
    and lr scheduler: MultiStep.
    In your report, you should mainly consider the choices you are assigned. You can also try
    other settings if you think they are more suitable, but you need to control variables in your
    analysis.
    You may be assigned similar tasks to your classmates. However, each task will contain many
    choices, and each choices will contain some parameters, so your choices and process cannot be
    similar unless you copy others’ work. In that case, cheating could be found easily and will be
    punished.
    Appendix: Marking Scheme
    The total marks for Project 1 is 20 in your final score, and part 1, part 2 and part 3 accounts for
    19%, 21% and 40% respectively, the formating and submission accounts for 20%. The numbers
    in the following chart are in percentages.
    part 1
    successfully run the given .ipynb 4
    correctly split the validation dataset 5
    correct draw the loss and accuracy curves 10
    part 2 correct choices (2 points each) 6
    good analysis (5 points each) 15
    part 3
    correct new baseline and modified net 9
    good analysis of each hyperparameter 7 (×3)
    good accuracy on Cifar-10 test set(> 70%) 10
    format
    correct submission 10
    no writing typos 2
    well commented codes 5
    good references 3
    punishment
    each wrong task in part 3 -10
    cheating -100
    late submission per day -15
    bad coding -20
    Please note that the marking scheme is to be updated in details.
    ELEC5307 Deep Learning 7
    WX:codinghelp