Convolution Neural Network

Unveiling the Secrets of CNNs: The Superhero Detectives of Computer Vision!

Welcome back, Technokrax! I hope you're ready for another mind-blowing adventure into the world of technology and AI. In our last escapade, we witnessed the remarkable power of MLPs in guiding wall-following robots. But brace yourself, because this time, we're delving even deeper!

In our quest to design robots or autonomous vehicle, perceiving and understanding the surrounding environment is of paramount importance. Today, we embark on an exhilarating journey into the captivating realm of Convolutional Neural Networks (CNNs), a powerful tool used in robotics to provide machines with the gift of sight. Prepare yourself for an extraordinary expedition alongside Yue and Yedhant in the world of IntroToArtificialintelligence (ITAi) 

Yue is waiting at their last agreed place, tapping her foot impatiently. Little did she know, Yedhant is observing her from a distance with a mischievous smile spreading across his face. He couldn't resist the opportunity for a playful prank. Sneaking up behind her, he stealthily placed his hand over her eyes, blocking her vision. With an air of mystery, he whispered, "Guess who's here to brighten your day?"

Caught off guard, Yue furrowed her brows and tried to guess, but her attempts were in vain. Yedhant couldn't help but let out a chuckle. "I thought you'd recognize me instantly," he said, amused. Yue, with a playful pout, retorted, "Come on now! How on earth am I supposed to guess when you blindfold me? That's hardly fair!"

Grinning mischievously, Yedhant replied, "The unfairness was intentional! I wanted to demonstrate just how challenging it can be for a robot or a machine to accomplish a task without the gift of sight. Imagine their struggle!" Yue nodded in agreement, "You're absolutely right! It will be tough for us to create a robot to perform a task if it cant perceive the surrounding!"

Pausing for a moment, Yue's eyes gleamed with excitement as a thought struck her. She couldn't contain her curiosity any longer and blurted out, "Wait a minute, don't tell me... today, we're going to unlock the secrets of helping robots see, aren't we?" Her face lit up with anticipation.

Yedhant's eyes lit up with equal enthusiasm as he replied, "Bingo! Well, partially true! Today, we're diving into the marvelous world of convolutional neural networks, one of the most fascinating algorithms or a backbone to the algorithms that are used to assist robots, autonomous vehicles, and other incredible machines in perceiving and interpreting their surroundings." 

Yue's excitement soared, and she exclaimed, "Oh, this is going to be an epic journey! Let's dive in and unravel all the secrets 😍"

Yedhant: Haha, I love your spirit! But before we embark on this thrilling journey, let's quickly jog our memory. Do you recall the multilayer perceptron (MLP) we explored last time?

Yue : How could I forget our last adventure in the world of multilayer perceptron (MLP)? It's like a smart network that mimics how our brains work to understand and solve problems.It consists of multiple layers of interconnected neurons that process information. The input layer receives data, the hidden layers analyze and learn from it, and the output layer provides predictions or answers. Last adventure in the world of mlp left an indelible mark on my neural circuits and your explanations were like secret cheatsheet.

Yedhant: Haha, I'm glad the cheat sheet came in handy! You've got it right. The multilayer perceptron (MLP) is indeed a powerful tool. However, like any hero, it has its limitations. One of those limitations is that it doesn't consider spatial information.

Imagine trying to understand a beautiful painting without considering the arrangement of colors, shapes, and objects. The MLP, as amazing as it is, tends to treat all inputs as independent and ignores their spatial relationships. It's like appreciating each brushstroke separately, but missing out on the bigger picture.

So, while the MLP can handle many tasks with its magical layers, it may struggle when it comes to tasks that require understanding spatial patterns, such as recognizing images or processing sequential data. For those kinds of challenges, we need something even more special.

Yue: Oh I see thats where CNN comes in picture

Yedhant : You are correct! Convolutional neural networks (CNN) was specifically designed to tackle this spatial-oriented tasks. It's like giving our neural networks a pair of 3D glasses to see the world in a whole new dimension.

Yue: Wow, Yedhant! I'm thrilled to delve into the captivating world of convolutional neural networks! 

Digital Image

Yedhant: I appreciate your excitement, but before we proceed, let's take a step back and first understand how digital images are represented in a computer. It's quite fascinating. Let me break it down for you. Images in a computer can be stored in different formats, but two popular ones are grayscale and RGB.

Yue: Ah, I see. So, grayscale and black and white images are the same thing, right?

Yedhant: Exactly! Grayscale and black and white images refer to the same concept. Now, let me illustrate this with an example. Imagine we have a simple black and white image of the number 1. (Yedhant snaps his fingers), let me zoom in on it. Take a closer look. You can see it's getting distorted, but pay attention to those small square boxes. They represent pixels!

Digital Image segmentation

Image By author (image of number 1 from MNIST dataset)

Yue: Oh, I see the pixels now! They look like tiny squares. But what's with this "dimension" thing people talk about when referring to images?

Yedhant: Good observation, Yue! Those pixels make up the image's dimensions. Think of it as the width and height of the image. When people mention image dimensions, they're referring to its size. For example, this image has 28 pixels in height and 28 pixels in width. So, we say its dimensions are 28x28.

Yue: Ah, that makes sense now. But wait, you mentioned that the computer stores the image as numbers. How does that work?

Yedhant: Great question! Each of those pixels has a number associated with it, called the pixel value. The pixel values represent the intensity of each pixel. Take a closer look at the pixel values in the third image. Do you notice any pattern?

Yue: Hmm, let me see... Ah! I think I got it. The pixel values for darker or black pixels are closer to 0, and for lighter or white pixels, they're closer to 255!

Yedhant: Bingo! You've got it. In a grayscale or black and white image, the pixel values range from 0 to 255. Darker pixels have values closer to 0, while lighter or white pixels have values closer to 255.

Yue: That's so interesting! So, the computer stores the image as a matrix, right?

Yedhant: Absolutely! The computer saves the image as a simple matrix, as shown in figure 4. Each element of the matrix corresponds to a pixel value. It's a numerical representation of the image, allowing the computer to process and work with it effectively. Can you guess the size of our matrix?

Yue: Umm, shouldn't it be similar to the number of pixel values across the height and width of the image since it represents pixel values? So in our case, the shape of the matrix should be 28x28.

Yedhant: Absolutely correct! Every image in a computer is saved in this form, where you have a matrix of numbers representing the pixel values.

Yue: Thats realy interesting , but what about rgb image that you were mentioning earlier, are those image also saved in a similar way

Yedhant: Kind of, lets take an example. Do you some of your clicked image

Yue: umm let me see.. Will this work?

Yue Image

(AI generated by Dall-e)

Yedhant: thats perfect. By the way you are looking very beautiful.

Yue: (giggled) Thank you!

Yedhant: Do you remember primary colors that we used to use when we were kids while drawing?

Yue: Oh, definitely! I remember the primary colors from our childhood days. We used to mix red, green, and blue to create all sorts of colors, right?

Yedhant:  You are correct! Image is also comprised of many colors , but as you mentioned almost all those colors could be derived by combining our 3 primary colors  red. green and blue, thats what is the basis of RGB image. Using this we can say that each colored image is composed of these three colors or 3 channels- Red, Green, and Blue. (Yedhant clicked his finger)

Yue image

Decomposition in Red channel

(created by author using jupyter)

Decomposition in Green channel

(created by author using jupyter)

Decomposition in Blue channel

(created by author using jupyter)

Yue: thats preaty cool , its looking so beautiful! Also do each channel focuses on one specific color?

Yedhant: Exactly! As we saw image is stored and represented in the form of matrix , similarly in an RGB image, there are three channels i.e 3 matrix, 1 for each color red, green, and blue. The red channel represents the intensity of the red color in the image, the green channel represents the intensity of the green color, and the blue channel represents the intensity of the blue color.

Yue: So, if we look at a specific pixel in an RGB image, we can see how much red, green, and blue are contributing to that pixel's color?

Yedhant: That's correct! Each pixel in an RGB image has corresponding values in the red, green, and blue channels. These values determine the intensity or brightness of each color component at that particular pixel.

Yue: So, by separating an RGB image into its individual channels, we can examine and manipulate the intensity of each color component separately?

Yedhant: Absolutely! By working with individual channels, we can adjust the intensity of each color, apply filters or effects to specific colors, or even create new images by combining channels in different ways. It gives us more control and flexibility in image processing and editing.

Yue: That's fascinating! Understanding channels opens up a whole new world of possibilities in image manipulation and enhancement.

Yedhant: Indeed, Yue! Channels serve as the building blocks of an RGB image. They allow us to delve deeper into the intricacies of color representation and harness the full potential of digital imagery. In the case of this example, we have three matrices or channels: red, green, and blue.

Yue: So, each of these matrices will have values ranging from 0 to 255, where each number represents the intensity or shade of the respective color component?

Yedhant: Absolutely! The values in each channel range from 0 (minimum intensity) to 255 (maximum intensity). These values represent the shades of red, green, and blue that contribute to the overall color of the image.

Yue: I see! So, when all these channels are superimposed, we get the complete colored image. And the shape of the image, when loaded in a computer, will be X x Y x 3, where X represents the number of pixels across the height, Y represents the number of pixels across the width, and 3 represents the number of channels (R, G, B).

Yedhant: You got it, Yue! The X x Y x 3 shape encapsulates the dimensions of the image and the three channels that make up the RGB color model. It's a wonderful way to represent and work with color images in digital form.

Yue: Now I understand why it's important to know how digital images work before diving into CNNs. This has helped me gain a clearer understanding of why MLPs may encounter challenges when dealing with images. When training an MLP, we often flatten the image, converting its two-dimensional structure into a one-dimensional array of pixels. However, during this flattening process, the spatial relationships between the pixels are lost.

Yedhant: Absolutely, Yue! It's like taking a beautiful picture and tearing it apart into individual pixels, then shuffling them randomly. When we feed this shuffled array into an MLP, it won't be able to understand the original spatial arrangement of the pixels and the meaningful patterns they create.

MLPs treat each pixel as a separate input and don't consider their spatial context or relationships. So, they struggle to capture the rich information encoded in the spatial patterns of an image. This is why MLPs may face challenges when working with images or tasks that heavily rely on spatial relationships.

On the other hand, CNNs preserve the spatial structure of the image by analyzing local regions and learning hierarchical representations. They're designed to capture the spatial patterns and relationships, enabling them to excel in tasks like image classification, object detection, and even generating new images.

Yue: Now I understand the importance of spatial relationships, and choosing the right neural network architecture, such as CNNs for image-related tasks, is crucial for achieving accurate and meaningful results.

Yedhant: You got it! There is one more problem with choosing MLPs. If you consider the flattened image, it creates a very large input. For example, an image of 500x500 would create 250,000 input nodes, resulting in a much denser network. On the other hand, CNNs use feature mapping, where they extract important information from each layer and reduce the size of the image before sending it to the feed-forward network. Think of it as feature extraction.

Yue: That's wonderful, but I'm still not entirely sure if I understood it properly.

Yedhant: No worries, let's delve deeper into CNNs and take a stroll down memory lane to explore their fascinating history.

Yue: Sounds like a great plan, let's walk through it together!

History of Convolution Neural Network

Convolution Neural Network Timeline till 2023

(image by author)

Yedhant: Buckle up! We're about to embark on a thrilling journey back to the 1950s, the birth of AI. Picture a time when researchers were scratching their heads, trying to crack the code of visual data. And voila! Computer Vision stepped into the spotlight!

Yue: Oh, what an electrifying challenge it must have been! But wait, what happened next in this rollercoaster ride of discoveries?

Yedhant: Hang on tight, because in 1962, a visionary named David Marr proposed something groundbreaking—the idea of Convolutional Neural Networks (CNNs). However, it wasn't until the 1980s that the first actual CNN model came to life. These neural network detectives had a superpower—they could solve the mysterious case of handwritten digits!

Yue: Fascinating! But why didn't CNNs become an instant hit?

Yedhant: Well, back then, they faced a couple of challenges. They needed massive amounts of data to train effectively, and the computing power of the time struggled to keep up.

Yue: Those ravenous neural networks and their hunger for data! But there's more to this story, right?

Yedhant: Absolutely! Get ready for the plot twist of the century! Fast forward to 2012, and computer vision takes a quantum leap.  Alex Krizhevsky's creation, AlexNet, dominated the ImageNet contest with an astounding 85 percent accuracy, leaving competitors in the dust.

Yue: Oh my pixels thats like winning olympics of computer vision! What made AlexNet so special?

Yedhant: AlexNet's secret sauce was none other than Convolutional Neural Networks (CNNs). These neural networks have the uncanny ability to mimic human vision, unleashing their power to comprehend visual information like never before.

Yue: Ah, the phoenix of CNNs rising from the ashes! Alex Krizhevsky knew how to give them the spotlight they deserved!

Yedhant: Precisely! With larger labeled datasets like ImageNet and advancements in computing resources, CNNs burst back onto the scene, opening up a whole new world of possibilities in computer vision. And after AlexNet, an enchanting parade of architectural wonders joined the party! There was GoogLeNet, strutting its stuff with an efficient inception module, and VGG, stunning us with its simplicity and jaw-dropping accuracy.

Yue: It's like a dazzling dance floor of networks, each flaunting its unique style and captivating the audience!

Yedhant: There was one more in the making ResNet, the mighty hero of deep neural networks, entered the scene. It brought a revolutionary concept—residual connections, secret shortcuts that allowed information to flow effortlessly through the network. ResNet conquered the challenges of training deep networks, defeating villains like vanishing gradients and accuracy degradation, achieving awe-inspiring performance!

Yue: Whoa, ResNet to the rescue! These architectural revolutions must have rocked the world of computer vision!

Yedhant: Absolutely, Yue! They triggered a seismic shift in image recognition, object detection, and even mind-boggling tasks like image segmentation. These architectures unleashed the power of AI, allowing machines to unravel the visual world with jaw-dropping precision and mind-blowing accuracy. It's like witnessing magic unfold before our very eyes!

Overview of Convolution Neural Network

Yue: It's amazing how these advancements shaped the world of AI and computer vision. But, whats the core of CNN? How do they do it? It's like they have their own superpower! 

Yedhant: Woow it seems you have lots of questions. Dont worry we will cover all of these . For now picture this, Yue! Imagine a series of interconnected layers, each with its own special function in unraveling the mysteries hidden within an image.

Yue: It's like a team of superheroes with unique powers, working together!

Yedhant: Exactly! At the heart of a Convolutional Neural Network (CNN), we have convolutional layers. These layers are like the detectives, examining small parts of the image at a time and searching for meaningful patterns.

Yue: So, they're like the magnifying glasses of the network, zooming in on details!

Yedhant: You got it! And as the information passes through these layers, the network learns to recognize more and more complex features, like shapes, edges, and textures. It's like assembling a puzzle, piece by piece.

Yue: That's fascinating! But what comes after the convolutional layers?

Yedhant: After the convolutional layers, we have pooling layers. These are like the network's memory bank, summarizing the important information and discarding the rest. It's a way of keeping the network focused on the most relevant details.

Yue: So, it's like a filter that captures the essence of the image!

Yedhant: Precisely!  SO we may have multiple layes of these convolution layers and pooling layers, then finally, we will have a fully connected layers, where the network brings all the extracted information together, just like solving the final piece of the puzzle. These layers make sense of the patterns and make predictions about what the image contains.

Yue: It's like the grand finale, where all the pieces come together!

Yedhant: Absolutely! And by training the network on a vast array of images, it becomes an expert in recognizing various objects, animals, and even emotions.

Yue: That's incredible! It's like witnessing the birth of an AI detective with an eye for details.

Yedhant: You've nailed it, Yue! CNNs are the superheroes of computer vision, unraveling the secrets hidden within images and paving the way for incredible advancements in AI. You can see the overall architecture of the cnn we would be going in deep of each functions

But before thats lets understand the concept on which CNNs works

There are three key concepts on which CNN works which makes it so special: 


local receptive fields

First, we have the concept of local receptive fields. In a regular neural network, every neuron in the input layer connects to neurons in the hidden layer. But in a CNN, only a small region of input neurons connects to hidden neurons.

These small regions, called local receptive fields, act as the detective lenses of the network. Just like detectives searching for clues, CNNs focus on these specific parts of an image. By doing so, they can uncover hidden patterns and intricate details that might be lurking within the picture.

To create a feature map from the input layer to the hidden layer neurons, the local receptive field slides or translates across the image. It's like scanning the entire picture with a magnifying glass, piece by piece. This process, known as convolution, efficiently captures the essence of the image and gives CNNs their unique ability to extract meaningful features. That's why they are called convolutional neural networks!

By using local receptive fields and convolution, CNNs become expert detectives, zooming in on important sections of an image and discovering valuable visual information that might have gone unnoticed. It's a powerful technique that enables CNNs to excel in tasks like image recognition, object detection, and more.

Yue: I see, local receptive fields in CNNs, is like magical detective glasses that enable the network to focus on specific parts of an image, revealing its hidden secrets one clue at a time.

Shared weights and biases in CNN

Yedhant: Bingo! Next up, we fascinating aspect of CNN shared weights and biases.  Picture this: in a CNN, the neurons in a specific layer all work together like a synchronized team, detecting the same feature in different parts of the image.

Imagine you're in a group of detectives trying to find a hidden cat in various locations of a picture. Each detective focuses on a different region, but they all look for the same thing: a cat. In a similar way, the neurons in a CNN layer have shared weights and biases that guide them to detect a specific feature, regardless of where it appears in the image.

So, whether the cat is on the left side, right side, or anywhere else, the network recognizes it as a cat. It's like having a team of specialized detectives, each assigned to a specific task, but working together with a unified goal.

By sharing weights and biases, CNNs become highly efficient in detecting features. Instead of each neuron individually learning to recognize different aspects, they collaborate and benefit from the collective knowledge, enabling the network to generalize well and identify features consistently throughout the image.

This unique characteristic of shared weights and biases makes CNNs powerful in tasks like image classification and object detection. They can reliably recognize patterns and features, no matter their location, bringing us closer to building intelligent systems that understand and interpret visual information.

Yue: So, with shared weights and biases, a CNN becomes a unified force of detectives, working together to uncover the desired feature in various regions of an image. 

Activation and pooling

Yedhant: Yes it's a clever strategy that enhances the network's efficiency and accuracy. Moving forward we arrive at the last vital ingredients of Convolutional Neural Networks (CNNs): activation and pooling. These two processes work hand in hand to enhance the network's ability to capture essential features and make it more efficient.

Imagine you have a bunch of talented artists, each with their own unique style of painting. Activation functions, such as the popular ReLU (Rectified Linear Unit), act as the magical brushes in their hands. They transform the output of each neuron, adding a touch of creativity and emphasis to the features they detect.

Just like how an artist might emphasize the vibrant colors or intricate details in a painting, activation functions focus on highlighting the most important features in the input data. They help CNNs capture and amplify the crucial aspects that contribute to the overall understanding of the image. By applying these activation functions, the network becomes more adept at recognizing and representing significant patterns.

But wait, there's more! Just as an art gallery might exhibit a collection of smaller paintings in a larger frame, pooling takes a similar approach in the world of CNNs. It condenses small regions of neurons into a single output, simplifying and summarizing the captured features.

Pooling acts like a curator, carefully selecting and condensing the most relevant information. It reduces the complexity of subsequent layers by representing the collective essence of the features detected in a region. This makes the network more efficient and manageable, improving its ability to process and analyze larger and more complex datasets.

Yue:So, with these three concepts - local receptive fields, shared weights and biases, and activation and pooling - CNNs are able to analyze images in a unique and powerful way. 

Yedhant: You got it ! 😇  if we pull it all together. Using these three concepts, we can configure the layers in a CNN. A CNN can have tens or hundreds of hidden layers that each learn to detect different features in an image. In this feature map, we can see that every hidden layer increases the complexity of the learned image features.

For example, the first hidden layer learns how to detect edges, and the last learns how to detect more complex shapes. Just like in a typical neural network, the final layer connects every neuron, from the last hidden layer to the output neurons. This produces the final output.

Now lets look into the architecture of cnn and understand different elements ( yedhant clicked his finger). Here you can see architecture of CNN

Convolution Neural Network Architecture

(image by Author)

CNN architecture with simple mathematical example

Yue: Wow it looks complex

Yedhant: No worries Let's dive into each layer of a convolutional neural network (CNN) and explore their amazing powers in a fun way:

Input Layer:

The input layer is like the entrance of our network, where the image data comes in. It represents the raw pixel values of the image. Each pixel has a number that tells us its intensity or color. Think of pixels as tiny dots that make up the picture. These pixels are arranged in a grid-like fashion, just like pieces of a puzzle. In some cases, an image can have different channels, like red, green, and blue. We organize these channels into matrices(as we looked into this earlier). Now Imagine we have a grayscale image represented by a small 6x6 matrix as our input

6*6 example representing gray scale image

The input is passed to convolution layer

Convolutional Layer:

The convolutional layer is where the real action happens! It uses special filters called kernels. hese kernels are like detectives that search for specific patterns in the image. Imagine the convolutional layer as a bustling detective agency, where each kernel detective has its own expertise. These clever detectives slide over the image, equipped with their unique skills for spotting specific visual features, just like we discussed in the local receptive fields concept.

As they move across the image, the kernels perform their secret mathematical operation called convolution, on which cnn is named after. It's like they're interrogating the pixels, gathering evidence about the presence of certain features. The kernels combine the pixel values in a small region with their own set of specialized weights, producing a feature map as their verdict.

These feature maps are like detailed maps that highlight the spots where specific features are found in the image. It's as if the kernels are leaving colorful marks to guide us to the hidden treasures of edges, textures, and shapes.

Now, here's the twist: each kernel detective has its own area of expertise, like a Sherlock Holmes of the visual world. Some are experts in detecting edges, always on the lookout for those crisp boundaries. Others excel in identifying textures, unraveling the secrets of the image's surface. And then we have the ones with an eye for shapes, ready to spot even the most peculiar forms.

Together, these skilled kernels create multiple feature maps, each capturing a different aspect of the image. They collaborate, sharing their insights and combining their expertise. It's like having a team of detectives, each bringing their unique perspectives, working together to solve the visual mysteries.

So, as the kernels perform their convolutions, they generate these remarkable feature maps, pointing out the hidden patterns and features they specialize in. It's like they're saying, "Hey, look at this intriguing edge I found!" or "Check out the fascinating texture I discovered!"

Yue: It seems as The convolutional layer and its kernel detectives play a crucial role in unraveling the rich details and meaningful features of an image.

Yedhant:  Yes, they provide us with invaluable insights, guiding us closer to understanding the visual world. (yedhant clicked his finger) Lets see how it is applied on our 6x6 grayscale matrix

Yue: The example is really helpful to understand how convolution works in reality. But I was wondering if we see the pixel at the edge gets multiplied by the kernel less time then the pixel in the center. What if there is some important feature in the edge

Padding

Yedhant: Ah, excellent observation, Yue! You have a keen eye for details. Your question brings up an interesting point about the convolution process in CNNs. Let me shed some light on this for you.

In convolution, as the kernel slides over the image, it indeed encounters the pixels at the edge fewer times compared to the pixels in the center. This may give the impression that the edge pixels are getting less attention, potentially overlooking important features lurking there.

But fear not, my curious friend! Convolutional Neural Networks have a clever solution to ensure that important features at the edges are not overlooked. They employ a technique called padding.

Padding is like adding a protective border around the image, giving the edge pixels extra exposure during convolution. It's like giving those pixels a VIP pass, ensuring they receive the same amount of attention as the central pixels.

There are actually different types of padding that can be applied. One commonly used type is called "valid" padding, where no padding is added. In this case, the convolution operation is only performed on the pixels that have enough neighboring pixels on all sides. As a result, the output feature map is smaller than the input. Which we have used in our example.

Another type is called "same" padding. Here, padding is added in such a way that the output feature map has the same spatial dimensions as the input. This is achieved by adding an equal number of pixels around the image, with their values typically set to zero. Same padding ensures that the edge pixels have the same level of influence as the central pixels.

Lastly, there is "causal" padding, which is often used in sequence-related tasks such as natural language processing. Causal padding ensures that the output at a given position only depends on the previous positions, mimicking a temporal or sequential ordering.

By choosing the appropriate padding type, the network can adapt to different scenarios and ensure that all pixels, regardless of their position, contribute to the overall analysis. This allows for a comprehensive exploration of the image, leaving no important feature behind.

So, rest assured, even if a pixel is at the edge, it won't be neglected by the attentive convolution process. The padding technique, with its various types, guarantees that important features throughout the image, including the edges, have an equal opportunity to be detected and contribute to the overall understanding of the data.

Keep those sharp questions coming, Yue! It's through curiosity and exploration that we unravel the intricacies of convolutional neural networks and dive deeper into the fascinating world of computer vision.

Activation Layer:

Yedhant: Next is activation layer , it helps in transformations and unleashing the power of non-linearity!

The activation layer adds a touch of non-linearity to the network. It applies an activation function to the feature maps obtained from the convolutional layer. The most commonly used activation function is called ReLU (Rectified Linear Unit). ReLU takes the output of a neuron and sets negative values to zero, while keeping positive values unchanged. This helps in capturing the important information and enhancing the network's ability to learn complex relationships between features.

Yue: Why does ReLU play this game of setting negatives to zero and leaving positives unchanged? 

Yedhant: Well, it's all about capturing the most important information and enabling the network to learn complex relationships between features. By eliminating negative values and emphasizing the positive ones, ReLU helps in sharpening the network's focus. It's like wearing a pair of stylish glasses that filter out distractions and highlight the key details. With ReLU's guidance, the network becomes a master at recognizing crucial patterns and understanding the intricate connections between them.

Pooling Layer:

Yedhant: The pooling layer helps in downsampling the feature maps. It reduces the spatial dimensions of the data, making it more manageable. There are various pooling techniques like max pooling , average pooling. In mac pooling it divides the feature map into small regions and selects the maximum value within each region. This way, we capture the most prominent features while discarding irrelevant details. Other pooling techniques, like average pooling, compute the average value within each region. 

 So, whether it's max pooling or average pooling, these techniques help us downsize our feature maps while retaining the essence of the most significant features. They are the master magicians who transform our data, making it more manageable and efficient for our CNN's grand adventure.

Yue: I see, Pooling is like having a miniaturization machine that downsizes our feature maps. It takes these maps and reduces their size, making them more compact and convenient to work with. It's like taking a big puzzle and transforming it into a smaller, but equally meaningful, puzzle piece.

Yedhant: Thats on point lets see how can we perform poooling on our example

Flattening: 

Yedhant: After pooling layer we have got the downsampled feature map , but before sending it to the fully connected neural network we need to convert the data in 1 dimension. 

Picture this: our feature maps are like colorful puzzles, filled with interesting patterns and hidden treasures. But to unlock their true potential, we need to arrange all the puzzle pieces in a single line, like a well-organized conveyor belt of information. That's where the flattening layer comes in!

Imagine Each value in the multidimensional feature maps as a unique puzzle piece. The flattening layer collects all these pieces and lines them up, creating a seamless sequence of information. It's like gathering all the vibrant tiles of a mosaic and arranging them side by side, forming a stunning masterpiece. For example we can see below.

Fully Connected Layer:

Yedhant: After flattening we come to fully connected layer. The fully connected layer is like a gathering of neurons from the previous layers. It connects every neuron to every neuron in the next layer, just like a big brainstorming session. It receives the high-level features extracted by the convolutional layers and combines them to form a feature vector. This vector represents a condensed representation of the image's features.

Imagine this place a ground 0 brainstorming table , where each neuron combines the information learned by different detectives and coming up to the decision 

Output Layer:

The output layer is the final destination of our network. It transforms the learned features into predictions. For classification tasks, the output layer often uses softmax activation. This assigns probabilities to each possible class, indicating the network's confidence in its prediction. The class with the highest probability is chosen as the final prediction.

So, Yue, with all these specialized layers working together, CNNs become powerful tools for analyzing and understanding visual data. They can recognize objects, detect patterns, and make predictions. It's like having a team of superheroes dedicated to visual intelligence! Isn't it fascinating? Let's continue our journey of exploring the amazing world of CNNs and their applications!



Fully Connected Layer:

Yedhant: Imagine a grand gathering of neurons, each with its own unique personality and expertise, ready to unleash their creative genius. It's like attending a big party where everyone is buzzing with ideas and insights. This is the fully connected layer!

In this neural party, every neuron gets to mingle and connect with every other neuron, forming a web of vibrant conversations. It's like a massive brainstorming session, where each neuron contributes its own perspective and knowledge. They share their experiences and combine their powers to create something extraordinary.

Yue: It is like a bustling marketplace of ideas, where neurons trade information and insights like precious gems. They pass around their high-level features, those little nuggets of wisdom they've learned from the previous layers. It's like a fusion of minds, a magical collaboration that results in a powerful feature vector—a condensed representation of the image's most important aspects.

Output Layer:

Yedhant: Nice anology! Now, let's shift our focus to the climax of our party—The output layer is the final layer of the CNN. It transforms the learned features into class probabilities or regression values, depending on the task at hand. For classification tasks, the output layer often employs softmax activation, which assigns probabilities to each class. The class with the highest probability is chosen as the network's prediction.

Additional Convolutional and Activation Layers:

Yedhant: To uncover even more complex patterns, CNNs often stack multiple convolutional and activation layers. Each subsequent layer uses larger filters and captures higher-level representations of the input. As we go deeper into the network, it becomes more capable of understanding intricate features and objects in the image. 

 Yue: I see! So, with all these layers working together, CNNs can analyze visual information in a hierarchical manner, just like our brain's visual cortex.

Yedhant: Absolutely, Yue! The hierarchical nature of CNNs allows them to capture intricate details and abstract concepts, enabling them to excel in various computer vision tasks. By leveraging convolution, pooling, and fully connected layers, CNNs can uncover intricate patterns edges, textures, and even complex objects in images and make accurate predictions. They can even differentiate between a fluffy puppy and a fluffy cloud by learning and interpreting the rich world of visual information.

Yue: I'm truly amazed by the complexity and effectiveness of CNNs. Thanks for unraveling the secrets behind each layer, Yedhant.

Yedhant: You're welcome, Yue! It was my pleasure to delve into the depths of CNNs with you. Lets go to our lab and see diferent types of CNN, how to choose best cnn for the problem, and  test how CNN performs in a real life..... CNN LAB.


See you at the lab: CNN LAB