Dive into Deep Learning with PyTorch, cGAN

1. Introduction

Deep learning is achieving innovative advancements in various fields such as computer vision, natural language processing, and speech recognition. Among these, Generative Adversarial Networks (GANs) have garnered special attention as a technology. GAN consists of two neural networks, namely a Generator and a Discriminator, which compete against each other, enabling it to generate realistic data.

In this article, we will take a detailed look at one of the variants of GAN, the Conditional Generative Adversarial Network (cGAN). cGAN allows for the generation of images of specific classes by providing conditions during the generation process. For example, we will explore how to generate images of specific digits using the MNIST dataset.

2. Overview of cGAN

2.1 Basic Structure of GAN

A GAN essentially consists of two neural networks. The Generator takes a random noise vector as input to generate fake images, while the Discriminator evaluates whether the input image is real or fake. They interact as follows:

  • The Generator creates images based on random noise input
  • The generated images are sent to the Discriminator for comparison with real images
  • The Discriminator classifies the real image as ‘1’ and the fake image as ‘0’
  • This process repeats, gradually causing the Generator to produce more realistic images

2.2 Structure of cGAN

cGAN extends the concept of GAN by adding conditional information to both the Generator and the Discriminator, allowing the generation of images for specific classes. For example, when setting the condition to the digit ‘3’ in digit image generation, the Generator will produce an image corresponding to ‘3’. The structure of cGAN is as follows:

  • The Generator takes conditional information as input to generate images
  • The Discriminator accepts both the input image and the conditional information to determine real or fake

3. Basic Setup for Implementing cGAN in PyTorch

3.1 Install Required Libraries

We will install the necessary Python libraries to implement cGAN. We will primarily use PyTorch, NumPy, and Matplotlib libraries. They can be installed with the following command.

        
        pip install torch torchvision numpy matplotlib
        
    

3.2 Prepare Dataset

We will use the MNIST dataset to implement cGAN. MNIST is a dataset consisting of handwritten digit images from 0 to 9. This dataset can be loaded from PyTorch’s torchvision.

        
import torch
from torchvision import datasets, transforms

# Load dataset
transform = transforms.Compose([transforms.ToTensor(), transforms.Normalize((0.5,), (0.5,))])
train_dataset = datasets.MNIST(root='./data', train=True, download=True, transform=transform)
train_loader = torch.utils.data.DataLoader(dataset=train_dataset, batch_size=64, shuffle=True)
        
    

4. Implementing cGAN Architecture

4.1 Generator

The Generator takes random noise and conditional information as input to create images. The Generator model is generally constructed using multiple linear layers and ReLU activation functions.

        
import torch.nn as nn

class Generator(nn.Module):
    def __init__(self, z_dim, num_classes):
        super(Generator, self).__init__()
        self.label_embedding = nn.Embedding(num_classes, num_classes)
        self.model = nn.Sequential(
            nn.Linear(z_dim + num_classes, 128),
            nn.ReLU(),
            nn.Linear(128, 256),
            nn.ReLU(),
            nn.Linear(256, 512),
            nn.ReLU(),
            nn.Linear(512, 1 * 28 * 28),
            nn.Tanh()
        )

    def forward(self, noise, labels):
        label_input = self.label_embedding(labels)
        input = torch.cat((noise, label_input), dim=1)
        img = self.model(input)
        img = img.view(img.size(0), 1, 28, 28)
        return img
        
    

4.2 Discriminator

The Discriminator accepts both the image and conditional information to evaluate whether they are real or fake. It can be designed in a structure that starts with a bottom layer and gradually deepens.

        
class Discriminator(nn.Module):
    def __init__(self, num_classes):
        super(Discriminator, self).__init__()
        self.label_embedding = nn.Embedding(num_classes, num_classes)
        self.model = nn.Sequential(
            nn.Linear(1 * 28 * 28 + num_classes, 512),
            nn.LeakyReLU(0.2),
            nn.Linear(512, 256),
            nn.LeakyReLU(0.2),
            nn.Linear(256, 1),
            nn.Sigmoid()
        )

    def forward(self, img, labels):
        label_input = self.label_embedding(labels)
        img_flat = img.view(img.size(0), -1)
        input = torch.cat((img_flat, label_input), dim=1)
        validity = self.model(input)
        return validity
        
    

5. Loss Function and Optimization

The loss function for cGAN evaluates the performance of the Generator and the Discriminator. It mainly uses binary cross-entropy loss, as the Generator and Discriminator have opposing objectives.

        
import torch.optim as optim

def build_optimizers(generator, discriminator, lr=0.0002, beta1=0.5):
    g_optimizer = optim.Adam(generator.parameters(), lr=lr, betas=(beta1, 0.999))
    d_optimizer = optim.Adam(discriminator.parameters(), lr=lr, betas=(beta1, 0.999))
    return g_optimizer, d_optimizer
        
    

6. Training cGAN

The Generator and Discriminator train by competing against each other. In each iteration, the Discriminator is adjusted to show high confidence on real images while maintaining low confidence for images generated by the Generator. Below is an example of the training loop.

        
num_classes = 10
z_dim = 100

generator = Generator(z_dim, num_classes)
discriminator = Discriminator(num_classes)

g_optimizer, d_optimizer = build_optimizers(generator, discriminator)

criterion = nn.BCELoss()

# Training loop
num_epochs = 200
for epoch in range(num_epochs):
    for imgs, labels in train_loader:
        batch_size = imgs.size(0)

        # Prepare real and fake image labels
        real_labels = torch.ones(batch_size, 1)
        fake_labels = torch.zeros(batch_size, 1)

        # Train Discriminator
        discriminator.zero_grad()
        outputs = discriminator(imgs, labels)
        d_loss_real = criterion(outputs, real_labels)
        d_loss_real.backward()

        noise = torch.randn(batch_size, z_dim)
        random_labels = torch.randint(0, num_classes, (batch_size,))
        generated_imgs = generator(noise, random_labels)

        outputs = discriminator(generated_imgs, random_labels)
        d_loss_fake = criterion(outputs, fake_labels)
        d_loss_fake.backward()

        d_optimizer.step()
        d_loss = d_loss_real + d_loss_fake
        
        # Train Generator
        generator.zero_grad()
        noise = torch.randn(batch_size, z_dim)
        generated_imgs = generator(noise, random_labels)
        outputs = discriminator(generated_imgs, random_labels)
        g_loss = criterion(outputs, real_labels)
        g_loss.backward()
        g_optimizer.step()

        print(f'Epoch [{epoch}/{num_epochs}], d_loss: {d_loss.item()}, g_loss: {g_loss.item()}')
        
    

7. Visualizing Results

After training is complete, we can visualize the generated images. Using Matplotlib, we can generate and display images of specific classes.

        
import matplotlib.pyplot as plt

def generate_and_show_images(generator, num_images=10):
    noise = torch.randn(num_images, z_dim)
    labels = torch.randint(0, num_classes, (num_images,))
    generated_images = generator(noise, labels)

    for i in range(num_images):
        img = generated_images[i].detach().numpy().reshape(28, 28)
        plt.subplot(2, 5, i + 1)
        plt.imshow(img, cmap='gray')
        plt.axis('off')
    plt.show()

generate_and_show_images(generator)
        
    

8. Conclusion

In this article, we explored the concept and implementation of Conditional Generative Adversarial Networks (cGAN). cGAN is a powerful method for generating images based on specific conditions and can be applied in various fields. It can be utilized not only for image generation but also in tasks like image transformation and style transfer. Having discussed in detail how to implement cGAN using PyTorch, we hope for the future development of more advanced models and diverse applications.

Deep Learning PyTorch Course, VGGNet

Welcome to the world of deep learning! In this course, we will take a closer look at the neural network architecture known as VGGNet. VGGNet is well-known for its impressive performance, especially in image classification tasks. We will also explore how to implement VGGNet using PyTorch.

1. Overview of VGGNet

VGGNet is an architecture proposed in the 2014 ImageNet Large Scale Visual Recognition Challenge (ILSVRC), developed by the Visual Geometry Group (VGG) at the University of Oxford. This model provides powerful abstraction capabilities and serves as a great example of performance improvement with depth. The fundamental idea behind VGGNet is to simply improve performance by increasing depth.

2. VGGNet Architecture

VGGNet consists of multiple convolutional layers and pooling layers. One of the main features of VGGNet is that all convolutional layers have the same kernel size of 3×3. The architecture is structured as follows:

        - 2 convolutional layers of 3x3 + 2x2 max pooling
        - 2 convolutional layers of 3x3 + 2x2 max pooling (repeated)
        - Finally, a fully connected layer with 4096, 4096, and 1000 neurons
        

3. Advantages and Disadvantages of VGGNet

Advantages

  • Boasts high accuracy and performs excellently on many datasets for image classification.
  • Easy to understand and implement due to its simple architectural structure.
  • Offers distinct advantages in transfer learning and fine-tuning.

Disadvantages

  • Large number of parameters results in a bigger model and consumes a lot of computational resources.
  • Slow learning speed and risk of overfitting.

4. Implementing VGGNet using PyTorch

Now, let’s implement VGGNet in PyTorch. PyTorch is an open-source machine learning library implemented in Python, particularly useful for building and processing dynamic neural networks. Through the implementation of VGGNet, we can utilize pre-trained models provided as part of the torchvision library.

4.1 Environment Setup

First, let’s install the necessary packages. Please install PyTorch and torchvision using the command below.

!pip install torch torchvision

4.2 Loading the VGGNet Model

Now, we will load the VGG model provided by PyTorch. Below is the code for loading the VGG11 model:


import torch
import torchvision.models as models
vgg11 = models.vgg11(pretrained=True)
        

4.3 Loading and Preprocessing Data

Let’s explore how to load and preprocess the image that will be inputted to VGGNet. We will use torchvision.transforms to transform the image:


from torchvision import transforms
from PIL import Image

transform = transforms.Compose([
    transforms.Resize((224, 224)), # Resize the image
    transforms.ToTensor(), # Convert to tensor
    transforms.Normalize(mean=[0.485, 0.456, 0.406], std=[0.229, 0.224, 0.225]) # Normalize
])
        
# Load the image
image = Image.open('image.jpg')
image = transform(image).unsqueeze(0) # Add batch dimension
        

4.4 Image Inference

Let’s pass the loaded image through the VGGNet model to perform predictions:


vgg11.eval() # Switch to evaluation mode

with torch.no_grad(): # Disable gradient calculation
    output = vgg11(image)

# Check results
_, predicted = torch.max(output, 1)
print("Predicted class:", predicted.item())
        

5. Visualization of VGGNet

We will also explore how to visualize the learning process of VGGNet and important feature maps. Techniques like Grad-CAM can be used.

5.1 Grad-CAM

Grad-CAM (Gradient-weighted Class Activation Mapping) is a powerful technique that visualizes which parts of the image the model focused on for a specific class. Here’s how to implement Grad-CAM in PyTorch:


import numpy as np
import cv2

# Function definition
def generate_gradcam(image, model, layer_name):
    # ... implement Grad-CAM algorithm using hooks ...
    return heatmap

# Generate and visualize Grad-CAM
heatmap = generate_gradcam(image, vgg11, 'conv5_3')
heatmap = cv2.resize(heatmap, (image.size(2), image.size(3)))
heatmap = np.maximum(heatmap, 0)
heatmap = heatmap / heatmap.max()
        

6. Future Directions for VGGNet

While VGGNet demonstrated excellent performance on its own, its performance is gradually under pressure with the emergence of various architectures. Variants like ResNet, Inception, and EfficientNet have developed to address the shortcomings of VGGNet and enable more efficient learning and predictions.

7. Conclusion

In this blog post, we covered a broad range of topics from the overview of VGGNet to implementation through PyTorch, data preprocessing, model inference, and visualization using Grad-CAM. VGGNet has made significant contributions to the advancement of deep learning and is still widely used in ongoing research and real applications. Exploring various architectures for future knowledge expansion can be a good endeavor. I wish the readers great success in your continued learning and research!

References

  • Simonyan, K., & Zisserman, A. (2014). Very deep convolutional networks for large-scale image recognition.
  • https://pytorch.org/
  • https://pytorch.org/docs/stable/torchvision/models.html

Deep Learning PyTorch Course, U-Net

U-Net, one of the deep learning models, is a model widely used for medical image segmentation. The U-Net model is particularly effective for tasks that require pixel-level segmentation of images. In this blog post, we will explore the concepts, structure, and implementation methods of U-Net using PyTorch in detail.

1. History of U-Net

U-Net was proposed in 2015 by Olaf Ronneberger, Philipp Fischer, and Thomas Becker, achieving excellent performance in the medical imaging competition ISBI. U-Net originated from a conventional Convolutional Neural Network (CNN) architecture, designed to perform feature extraction and segmentation tasks simultaneously. For this reason, U-Net demonstrates high performance in specialized segmentation tasks.

2. Structure of U-Net

The structure of U-Net is broadly divided into two parts: the downsampling (contracting) path and the upsampling (expanding) path. The downsampling path gradually reduces the image size while extracting features, and the upsampling path gradually restores the image while generating a segmentation map.

2.1 Downsampling Path

The downsampling path consists of multiple convolutional blocks. Each block is composed of convolutional layers, activation functions, and pooling layers. As the data is processed in this way, the image size decreases and the features are emphasized.

2.2 Upsampling Path

The upsampling path utilizes upsampling layers to restore the image to its original size. During this time, it merges the features extracted from the downsampling path to provide segmented information. This enhances the prediction accuracy for each pixel.

2.3 Skip Connections

U-Net uses ‘Skip Connections’ to link the data from the downsampling path and the upsampling path. This minimizes information loss and yields more refined segmentation results.

3. Implementing U-Net (PyTorch)

Now, let’s implement the U-Net model using PyTorch. First, we need to install the necessary packages and prepare the data.

    
    # Import necessary packages
    import torch
    import torch.nn as nn
    import torch.nn.functional as F
    from torchvision import transforms
    from torchvision import datasets
    from torch.utils.data import DataLoader
    
    

3.1 Defining the U-Net Model

Below is the code that defines the basic structure of the U-Net model.

    
    class UNet(nn.Module):
        def __init__(self, in_channels, out_channels):
            super(UNet, self).__init__()

            self.encoder1 = self.conv_block(in_channels, 64)
            self.encoder2 = self.conv_block(64, 128)
            self.encoder3 = self.conv_block(128, 256)
            self.encoder4 = self.conv_block(256, 512)

            self.bottom = self.conv_block(512, 1024)

            self.decoder4 = self.upconv_block(1024, 512)
            self.decoder3 = self.upconv_block(512, 256)
            self.decoder2 = self.upconv_block(256, 128)
            self.decoder1 = self.upconv_block(128, 64)

            self.final_conv = nn.Conv2d(64, out_channels, kernel_size=1)

        def conv_block(self, in_channels, out_channels):
            return nn.Sequential(
                nn.Conv2d(in_channels, out_channels, kernel_size=3, padding=1),
                nn.ReLU(inplace=True),
                nn.Conv2d(out_channels, out_channels, kernel_size=3, padding=1),
                nn.ReLU(inplace=True)
            )

        def upconv_block(self, in_channels, out_channels):
            return nn.Sequential(
                nn.ConvTranspose2d(in_channels, out_channels, kernel_size=2, stride=2),
                nn.ReLU(inplace=True)
            )

        def forward(self, x):
            enc1 = self.encoder1(x)
            enc2 = self.encoder2(F.max_pool2d(enc1, kernel_size=2))
            enc3 = self.encoder3(F.max_pool2d(enc2, kernel_size=2))
            enc4 = self.encoder4(F.max_pool2d(enc3, kernel_size=2))

            bottleneck = self.bottom(F.max_pool2d(enc4, kernel_size=2))

            dec4 = self.decoder4(bottleneck)
            dec4 = torch.cat((dec4, enc4), dim=1)
            dec4 = self.conv_block(dec4.size(1), dec4.size(1))(dec4)

            dec3 = self.decoder3(dec4)
            dec3 = torch.cat((dec3, enc3), dim=1)
            dec3 = self.conv_block(dec3.size(1), dec3.size(1))(dec3)

            dec2 = self.decoder2(dec3)
            dec2 = torch.cat((dec2, enc2), dim=1)
            dec2 = self.conv_block(dec2.size(1), dec2.size(1))(dec2)

            dec1 = self.decoder1(dec2)
            dec1 = torch.cat((dec1, enc1), dim=1)
            dec1 = self.conv_block(dec1.size(1), dec1.size(1))(dec1)

            return self.final_conv(dec1)
    
    

3.2 Training the Model

Now we are ready to train the U-Net model. We will specify the loss function and optimization algorithm, and prepare the training data.

    
    # Define hyperparameters
    num_epochs = 25
    learning_rate = 0.001

    # Create model
    model = UNet(in_channels=3, out_channels=1).cuda()
    criterion = nn.BCEWithLogitsLoss()
    optimizer = torch.optim.Adam(model.parameters(), lr=learning_rate)

    # Load and preprocess data
    transform = transforms.Compose([
        transforms.ToTensor(),
        transforms.Resize((128, 128)),
    ])

    train_dataset = datasets.ImageFolder(root='your_dataset_path/train', transform=transform)
    train_loader = DataLoader(dataset=train_dataset, batch_size=16, shuffle=True)

    # Train the model
    for epoch in range(num_epochs):
        for images, masks in train_loader:
            images = images.cuda()
            masks = masks.cuda()

            # Forward pass
            outputs = model(images)
            loss = criterion(outputs, masks)

            # Backward pass and optimization
            optimizer.zero_grad()
            loss.backward()
            optimizer.step()

        print(f'Epoch [{epoch+1}/{num_epochs}], Loss: {loss.item():.4f}')
    
    

4. Applications of U-Net

U-Net is primarily used in the medical imaging field, but it can also be applied in various other fields. For example:

  • Medical Image Analysis: Accurately identifying tissues, tumors, etc., in CT scans, MRI image segmentation, and more.
  • Satellite Image Analysis: Terrain segmentation, urban planning, etc.
  • Autonomous Vehicles: Road and obstacle detection, etc.
  • Video Processing: Object tracking, action recognition, etc.

5. Conclusion

Due to its structure, U-Net exhibits remarkable performance in various image segmentation tasks. In this post, we covered everything from the basics of U-Net to its implementation. U-Net is widely used in the field of medical imaging, but its applications extend far beyond that. As current deep learning technologies continue to evolve, various modifications of U-Net and new approaches utilizing similar network structures are anticipated.

References

  • Ronneberger, Olaf, et al. “U-Net: Convolutional Networks for Biomedical Image Segmentation.” Medical Image Computing and Computer-Assisted Intervention. 2015.
  • Pytorch Documentation: https://pytorch.org/docs/stable/index.html

Deep Learning PyTorch Course, seq2seq

Seq2Seq (Sequence to Sequence) models are gaining attention for solving sequence prediction problems, a field of deep learning. This model is mainly used in natural language processing (NLP) and is useful for converting an input sequence into another sequence. For example, it is utilized in machine translation, text summarization, and chatbots. In this lecture, we will cover the basic concepts, structure of the Seq2Seq model, and implementation examples using PyTorch.

1. Basic Concepts of Seq2Seq Model

The Seq2Seq model consists of two main components: the encoder and the decoder. The encoder encodes the input sequence into a fixed-length vector, while the decoder uses this vector to generate the target sequence.

1.1 Encoder

The encoder processes the given sequence by converting each word into a vector. The last hidden state of the encoder is used as the initial input for the next decoder.

1.2 Decoder

The decoder predicts the next word based on the encoder’s output (hidden state) and outputs the next word using the previously predicted word as input. This process continues until a target sequence of specified length is generated.

2. Structure of Seq2Seq Model

The Seq2Seq model is generally implemented using recurrent neural networks like RNN, LSTM, or GRU. Below is a typical structure of the Seq2Seq model.

  • Encoder: Processes the input sequence and returns the hidden state.
  • Decoder: Starts from the initial last hidden state of the encoder and generates the target sequence.

3. Implementation of Seq2Seq Model using PyTorch

Now, let’s implement the Seq2Seq model using PyTorch. In this example, we will create a sample machine translation model using a small dataset.

3.1 Preparing the Dataset

First, we will initialize the dataset to be used in the example. We will be using an English and French translation dataset. You can use simple strings.

Deep Learning PyTorch Course, RNN Cell Implementation

This article provides a detailed explanation of one of the core structures of deep learning, the Recurrent Neural Network (RNN), and demonstrates how to implement an RNN cell using PyTorch. RNNs are very useful for processing sequence data and are widely used in various fields such as natural language processing, speech recognition, and stock prediction. We will understand how RNNs work, their advantages and disadvantages, and implement a simple RNN cell through this discussion.

1. Overview of RNN

RNN is a type of neural network designed for processing sequence data. While traditional neural networks receive fixed-size inputs, RNNs have a structure that allows them to process information over multiple time steps. This enables them to handle temporally continuous data by using the output from a previous step as input for the current step.

1.1 Structure of RNN

The basic component of an RNN is the cell state (or hidden state). At each time step, the RNN receives an input vector and utilizes the previous hidden state to compute the new hidden state. In mathematical terms, this can be expressed as follows:

RNN Equation

Where:

  • ht is the hidden state at time t
  • ht-1 is the hidden state at the previous time step
  • xt is the current input vector
  • Wh is the weight for the previous hidden state, Wx is the weight for the input, and b is the bias.

1.2 Advantages and Disadvantages of RNN

RNNs have the following advantages and disadvantages:

  • Advantages:
    • Ability to process information that varies over time: RNNs can effectively handle sequence data.
    • Variable length input: RNNs can process inputs of varying lengths.
  • Disadvantages:
    • Long-term dependency problem: RNNs struggle to learn long-term dependencies.
    • Vanishing and exploding gradients: Gradients may vanish or explode during backpropagation, making learning difficult.

2. Implementing RNN Cell with PyTorch

Now that we have understood the basic structure of RNNs, let’s implement an RNN cell using PyTorch. PyTorch has become a powerful tool for deep learning research and prototyping.

2.1 Setting Up the Environment

First, ensure that Python and PyTorch are installed. You can install PyTorch using the command below:

pip install torch

2.2 Implementing the RNN Cell Class

Let’s start by writing a class to implement the RNN cell. This class will take an input vector and the previous hidden state to compute the new hidden state.


import torch
import torch.nn as nn

class SimpleRNNCell(nn.Module):
    def __init__(self, input_size, hidden_size):
        super(SimpleRNNCell, self).__init__()
        self.hidden_size = hidden_size
        self.W_h = nn.Parameter(torch.randn(hidden_size, hidden_size))  # Weight for the previous hidden state
        self.W_x = nn.Parameter(torch.randn(hidden_size, input_size))   # Weight for the input
        self.b = nn.Parameter(torch.zeros(hidden_size))                 # Bias

    def forward(self, x_t, h_t_1):
        h_t = torch.tanh(torch.mm(self.W_h, h_t_1) + torch.mm(self.W_x, x_t) + self.b)
        return h_t
    

2.3 How to Use the RNN Cell

We will now use the defined RNN cell to process sequence data. As a simple example, we will generate random input data and an initial hidden state, and compute the output through the RNN.


# Parameter settings
input_size = 3   # Size of the input vector
hidden_size = 2  # Size of the hidden state vector
sequence_length = 5

# Initialize the model
rnn_cell = SimpleRNNCell(input_size, hidden_size)

# Generate random input data and initial hidden state
x = torch.randn(sequence_length, input_size)  # (sequence_length, input_size)
h_t_1 = torch.zeros(hidden_size)               # Initial hidden state

# Process sequence through the RNN cell
for t in range(sequence_length):
    h_t = rnn_cell(x[t], h_t_1)  # Calculate new hidden state based on current input and previous hidden state
    h_t_1 = h_t  # Set the current hidden state as the previous hidden state for the next step
    print(f"Time step {t}: h_t = {h_t}")
    

3. Extending RNN: LSTM and GRU

Although RNN has a basic structure, LSTMs (Long Short-Term Memory) or GRUs (Gated Recurrent Units) are often used in real applications to tackle the long-term dependency problem. LSTMs regulate information flow using cell states, while GRUs offer a simpler structure but provide similar performance to LSTMs.

3.1 LSTM Structure

LSTMs consist of input gates, forget gates, and output gates, allowing them to remember past information more effectively and to selectively forget it.

3.2 GRU Structure

GRUs simplify the structure of LSTMs using update gates and reset gates to control the information flow. GRUs often use fewer parameters than LSTMs and may exhibit similar or even better performance.

4. Conclusion

In this lecture, we introduced the basic concept of RNNs and the process of implementing an RNN cell in PyTorch. RNNs are effective for processing sequence data; however, due to long-term dependency issues and gradient vanishing problems, structures such as LSTMs and GRUs are widely used. We hope this lecture helped you understand the basics of RNNs and allowed you to practice implementing them.

In the future, we will cover the implementation of LSTMs and GRUs, as well as various projects utilizing RNNs. We hope to learn together in the continuously evolving world of deep learning.

Author: Deep Learning Course Team

Contact: [your-email@example.com]