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YOLOv3 Paper Walkthrough: Even Higher, However Not That A lot

admin by admin
March 3, 2026
in Artificial Intelligence
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YOLOv3 Paper Walkthrough: Even Higher, However Not That A lot
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to be the state-of-the-art object detection algorithm, regarded to turn into out of date because of the looks of different strategies like SSD (Single Shot Multibox Detector), DSSD (Deconvolutional Single Shot Detector), and RetinaNet. Lastly, after two years for the reason that introduction of YOLOv2, the authors determined to enhance the algorithm the place they ultimately got here up with the following YOLO model reported in a paper titled “YOLOv3: An Incremental Enchancment” [1]. Because the title suggests, there have been certainly not many issues the authors improved upon YOLOv2 when it comes to the underlying algorithm. However hey, in terms of efficiency, it truly appears to be like fairly spectacular.

On this article I’m going to speak concerning the modifications the authors made to YOLOv2 to create YOLOv3 and the right way to implement the mannequin structure from scratch with PyTorch. I extremely advocate you studying my earlier article about YOLOv1 [2, 3] and YOLOv2 [4] earlier than this one, except you already bought a robust basis in how these two earlier variations of YOLO work.


What Makes YOLOv3 Higher Than YOLOv2

The Vanilla Darknet-53

The modification the authors made was primarily associated to the structure, through which they proposed a spine mannequin known as Darknet-53. See the detailed construction of this community in Determine 1. Because the identify suggests, this mannequin is an enchancment upon the Darknet-19 utilized in YOLOv2. Should you rely the variety of layers in Darknet-53, you’ll discover that this community consists of 52 convolution layers and a single fully-connected layer on the finish. Remember that later once we implement it on YOLOv3, we’ll feed it with photographs of measurement 416×416 fairly than 256×256 as written within the determine.

Determine 1. The vanilla Darknet-53 structure [1].

Should you’re conversant in Darknet-19, you will need to keep in mind that it performs spatial downsmapling utilizing maxpooling operations after each stack of a number of convolution layers. In Darknet-53, authors changed these pooling operations with convolutions of stride 2. This was primarily performed as a result of maxpooling layer utterly ignores non-maximum numbers, inflicting us to lose loads of data contained within the decrease depth pixels. We will truly use average-pooling as a substitute, however in idea, this method gained’t be optimum both as a result of all pixels throughout the small area are weighted the identical. In order an answer, authors determined to make use of convolution layer with a stride of two, which by doing so the mannequin will be capable to cut back picture decision whereas capturing spatial data with particular weightings. You may see the illustration for this in Determine 2 beneath.

Determine 2. How maxpooling, average-pooling and convolution with stride 2 differ from one another [5].

Subsequent, the spine of this YOLO model is now geared up with residual blocks which the concept is originated from ResNet. One factor that I need to emphasize concerning our implementation is the activation perform throughout the residual block. You may see in Determine 3 beneath that in line with the unique ResNet paper, the second activation perform is positioned after the element-wise summation. Nonetheless, primarily based on the opposite tutorials that I learn [6, 7], I discovered that within the case of YOLOv3 the second activation perform is positioned proper after the burden layer as an alternative (earlier than summation). So later within the implementation, I made a decision to comply with the information in these tutorials for the reason that YOLOv3 paper doesn’t give any explanations about it.

Determine 3. A residual block [8]

Darknet-53 With Detection Heads

Remember that the structure in Determine 1 is barely meant for classification. Thus, we have to substitute every little thing after the final residual block if we need to make it suitable for detection duties. Once more, the unique YOLOv3 paper additionally doesn’t present the detailed implementation information, therefore I made a decision to seek for it and ultimately bought one from the paper referenced as [9]. I redraw the illustration from that paper to make the structure appears to be like clearer as proven in Determine 4 beneath.

Determine 4. The YOLOv3 structure [5].

There are literally a number of issues to elucidate concerning the above structure. Now let’s begin from the half I consult with because the detection heads. Completely different from the earlier YOLO variations which relied on a single head, right here in YOLOv3 now we have 2 extra heads. Thus, we’ll later have 3 prediction tensors for each single enter picture. These three detection heads have totally different specializations: the leftmost head (13×13) is the one accountable to detect giant objects, the center head (26×26) is for detecting medium-sized objects, and the one on the fitting (52×52) is used to detect objects of small measurement. We will consider the 52×52 tensor because the function map that accommodates the detailed illustration of a picture, therefore is appropriate to detect small objects. Conversely, the 13×13 prediction tensor is supposed to detect giant objects due to its decrease spatial decision which is efficient at capturing the final form of an object.

Nonetheless with the detection head, you too can see in Determine 4 that the three prediction tensors have 255 channels. To grasp the place this quantity comes from, we first have to know that every detection head has 3 prior bins. Following the rule given in YOLOv2, every of those prior bins is configured such that it may predict its personal object class independently. With this mechanism, the function vector of every grid cell may be obtained by computing B×(5+C), the place B is the variety of prior bins, C is the variety of object courses, and 5 is the xywh and the bounding field confidence (a.okay.a. objectness). Within the case of YOLOv3, every detection head has 3 prior bins and 80 courses, assuming that we practice it on 80-class COCO dataset. By plugging these numbers to the components, we receive 3×(5+80)=255 prediction values for a single grid cell.

In reality, utilizing multi-head mechanism like this enables the mannequin to detect extra objects as in comparison with the sooner YOLO variations. Beforehand in YOLOv1, since a picture is split into 7×7 grid cells and every of these can predict 2 bounding bins, therefore there are 98 objects doable to be detected. In the meantime in YOLOv2, a picture is split into 13×13 grid cells through which a single cell is able to producing 5 bounding bins, making YOLOv2 in a position to detect as much as 845 objects inside a single picture. This primarily permits YOLOv2 to have a greater recall than YOLOv1. In idea, YOLOv3 is probably in a position to obtain an excellent greater recall, particularly when examined on a picture that accommodates loads of objects because of the bigger variety of doable detections. We will calculate the variety of most bounding bins for a single picture in YOLOv3 by computing (13×13×3) + (26×26×3) + (52×52×3) = 507 + 2028 + 8112 = 10647, the place 13×13, 26×26, and 52×25 are the variety of grid cells inside every prediction tensor, whereas 3 is the variety of prior bins a single grid cell has.

We will additionally see in Determine 4 that there are two concatenation steps included within the community, i.e., between the unique Darknet-53 structure and the detection heads. The target of those steps is to mix data from the deeper layer with the one from the shallower layer. Combining data from totally different depths like that is essential as a result of in terms of detecting smaller objects, we do want each an in depth spatial data (contained within the shallower layer) and a greater semantic data (contained within the deeper layer). Remember that the function map from the deeper layer has a smaller spatial dimension, therefore we have to broaden it earlier than truly doing the concatenation. That is primarily the rationale that we have to place an upsampling layer proper earlier than we do the concatenation.

Multi-Label Classification

Other than the structure, the authors additionally modified the category labeling mechanism. As a substitute of utilizing a typical multiclass classification paradigm, they proposed to make use of the so-called multilabel classification. Should you’re not but conversant in it, that is mainly a technique the place a picture may be assigned a number of labels directly. Check out Determine 5 beneath to raised perceive this concept. On this instance, the picture on the left belongs to the category individual, athlete, runner, and man concurrently. In a while, YOLOv3 can also be anticipated to have the ability to make a number of class predictions on the identical detected object.

Determine 5. Picture with a number of labels [10].

To ensure that the mannequin to foretell a number of labels, we have to deal with every class prediction output as an unbiased binary classifier. Have a look at Determine 6 beneath to see how multiclass classification differs from multilabel classification. The illustration on the left is a situation once we use a typical multiclass classification mechanism. Right here you possibly can see that the chances of all courses sum to 1 because of the character of the softmax activation perform throughout the output layer. On this instance, for the reason that class camel is predicted with the best likelihood, then the ultimate prediction could be camel no matter how excessive the prediction confidence of the opposite courses is.

However, if we use multilabel classification, there’s a chance that the sum of all class prediction chances is bigger than 1 as a result of we use sigmoid activation perform which by nature doesn’t limit the sum of all prediction confidence scores to 1. Because of this motive, later within the implementation we will merely apply a particular threshold to contemplate a category predicted. Within the instance beneath, if we assume that the edge is 0.7, then the picture might be predicted as each cactus and camel.

Determine 6. Multiclass vs multilabel classification [10].

Modified Loss Operate

One other modification the authors made was associated to the loss perform. Now take a look at the loss perform of YOLOv1 in Determine 7 beneath. As a refresher, the first and 2nd rows are accountable to compute the bounding field loss, the third and 4th rows are for the objectness confidence loss, and the fifth row is for computing the classification loss. Do not forget that in YOLOv1 the authors used SSE (Sum of Squared Errors) in all these 5 rows to make issues easy.

Determine 7. The loss perform of YOLOv1 [5, 11].

In YOLOv3, the authors determined to switch the objectness loss (the third and 4th rows) with binary cross entropy, contemplating that the predictions similar to this half is barely both 1 or 0, i.e., whether or not there may be an object midpoint or not. Thus, it makes extra sense to deal with this as a binary classification fairly than a regression downside.

Binary cross entropy can even be used within the classification loss (fifth row). That is primarily as a result of we use multilabel classification mechanism we mentioned earlier, the place we deal with every of the output neuron as an unbiased binary classifier. Do not forget that if we have been to carry out a typical classification job, we sometimes have to set the loss perform to categorical cross entropy as an alternative.

Now beneath is what the loss perform appears to be like like after we substitute the SSE with binary cross entropy for the objectness (inexperienced) and the multilabel classification (blue) components. Word that this equation is created primarily based on the YouTube tutorial I watched given at reference quantity [12] as a result of, once more, the authors don’t explicitly present the ultimate loss perform within the paper.

Determine 8. The loss perform of YOLOv3 [5, 12].

Some Experimental Outcomes

With all of the modifications mentioned above, the authors discovered that the development in efficiency is fairly spectacular. The primary experimental end result I need to present you is expounded to the efficiency of the spine mannequin in classifying photographs on ImageNet dataset. You may see in Determine 9 beneath that the development from Darknet-19 (YOLOv2) to Darknet-53 (YOLOv3) is kind of important when it comes to each the top-1 accuracy (74.1 to 77.2) and the top-5 accuracy (91.8 to 93.8). It’s essential to acknowledge that ResNet-101 and ResNet-152 certainly additionally carry out nearly as good as Darknet-53 in accuracy, but when we evaluate the FPS (measured on Nvidia Titan X), we will see that Darknet-53 is loads quicker than each ResNet variants.

Determine 9. Efficiency of various backbones on ImageNet classification dataset [1].

The same habits may be noticed on object detection job, the place it’s seen in Determine 10 that each one YOLOv3 variants efficiently obtained the quickest computation time amongst all different strategies regardless of not having the most effective accuracy. You may see within the determine that the most important YOLOv3 variant is almost 4 occasions quicker than the most important RetinaNet variant (51 ms vs 198 ms). Furthermore, the most important YOLOv3 variant itself already surpasses the mAP of the smallest RetinaNet variant (33.0 vs 32.5) whereas nonetheless having a quicker inference time (51 ms vs 73 ms). These experimental outcomes primarily show that YOLOv3 grew to become the state-of-the-art object detection mannequin when it comes to computational velocity at that second.

Determine 10. Efficiency of YOLOv3 in comparison with different object detection strategies [10].

YOLOv3 Structure Implementation

As now we have already mentioned just about every little thing concerning the idea behind YOLOv3, we will now begin implementing the structure from scratch. In Codeblock 1 beneath, I import the torch module and its nn submodule. Right here I additionally initialize the NUM_PRIORS and NUM_CLASS variables, through which these two correspond to the variety of prior bins inside every grid cell and the variety of object courses within the dataset, respectively.

# Codeblock 1
import torch
import torch.nn as nn

NUM_PRIORS = 3
NUM_CLASS  = 80

Convolutional Block Implementation

What I’m going to implement first is the principle constructing block of the community, which I consult with because the Convolutional block as seen in Codeblock 2. The construction of this block is kind of a bit the identical because the one utilized in YOLOv2, the place it follows the Conv-BN-Leaky ReLU sample. Once we use this type of construction, don’t neglect to set the bias parameter of the conv layer to False (at line #(1)) as a result of utilizing bias time period is considerably ineffective if we straight place a batch normalization layer proper after it. Right here I additionally configure the padding of the conv layer such that it’s going to robotically set to 1 each time the kernel measurement is 3×3 or 0 each time we use 1×1 kernel (#(2)). Subsequent, because the conv, bn, and leaky_relu have been initialized, we will merely join all of them utilizing the code written contained in the ahead() technique (#(3)).

# Codeblock 2
class Convolutional(nn.Module):
    def __init__(self, 
                 in_channels, 
                 out_channels, 
                 kernel_size, 
                 stride=1):
        tremendous().__init__()
        
        self.conv = nn.Conv2d(in_channels=in_channels,
                              out_channels=out_channels, 
                              kernel_size=kernel_size, 
                              stride=stride,
                              bias=False,                            #(1)
                              padding=1 if kernel_size==3 else 0)    #(2)
        
        self.bn = nn.BatchNorm2d(num_features=out_channels)
        
        self.leaky_relu = nn.LeakyReLU(negative_slope=0.1)
        
    def ahead(self, x):        #(3)
        print(f'originalt: {x.measurement()}')

        x = self.conv(x)
        print(f'after convt: {x.measurement()}')
        
        x = self.bn(x)
        print(f'after bnt: {x.measurement()}')
        
        x = self.leaky_relu(x)
        print(f'after leaky relu: {x.measurement()}')
        
        return x

We simply need to make sure that our major constructing block is working correctly, we’ll check it by simulating the very first Convolutional block in Determine 1. Do not forget that since YOLOv3 takes a picture of measurement 416×416 because the enter, right here in Codeblock 3 I create a dummy tensor of that form to simulate a picture handed via that layer. Additionally, notice that right here I go away the stride to the default (1) as a result of at this level we don’t need to carry out spatial downsampling.

# Codeblock 3
convolutional = Convolutional(in_channels=3,
                              out_channels=32,
                              kernel_size=3)

x = torch.randn(1, 3, 416, 416)
out = convolutional(x)
# Codeblock 3 Output
unique         : torch.Dimension([1, 3, 416, 416])
after conv       : torch.Dimension([1, 32, 416, 416])
after bn         : torch.Dimension([1, 32, 416, 416])
after leaky relu : torch.Dimension([1, 32, 416, 416])

Now let’s check our Convolutional block once more, however this time I’ll set the stride to 2 to simulate the second convolutional block within the structure. We will see within the output beneath that the spatial dimension halves from 416×416 to 208×208, indicating that this method is a sound alternative for the maxpooling layers we beforehand had in YOLOv1 and YOLOv2.

# Codeblock 4
convolutional = Convolutional(in_channels=32,
                              out_channels=64,
                              kernel_size=3, 
                              stride=2)

x = torch.randn(1, 32, 416, 416)
out = convolutional(x)
# Codeblock 4 Output
unique          : torch.Dimension([1, 32, 416, 416])
after conv        : torch.Dimension([1, 64, 208, 208])
after bn          : torch.Dimension([1, 64, 208, 208])
after leaky relu  : torch.Dimension([1, 64, 208, 208])

Residual Block Implementation

Because the Convolutional block is completed, what I’m going to do now’s to implement the following constructing block: Residual. This block usually follows the construction I displayed again in Determine 3, the place it consists of a residual connection that skips via two Convolutional blocks. Check out the Codeblock 5 beneath to see how I implement it.

The 2 convolution layers themselves comply with the sample in Determine 1, the place the primary Convolutional halves the variety of channels (#(1)) which can then be doubled once more by the second Convolutional (#(3)). Right here you additionally want to notice that the primary convolution makes use of 1×1 kernel (#(2)) whereas the second makes use of 3×3 (#(4)). Subsequent, what we do contained in the ahead() technique is just connecting the 2 convolutions sequentially, which the ultimate output is summed with the unique enter tensor (#(5)) earlier than being returned.

# Codeblock 5
class Residual(nn.Module):
    def __init__(self, num_channels):
        tremendous().__init__()
        self.conv0 = Convolutional(in_channels=num_channels, 
                                   out_channels=num_channels//2,   #(1)
                                   kernel_size=1,       #(2)
                                   stride=1)
        
        self.conv1 = Convolutional(in_channels=num_channels//2,
                                   out_channels=num_channels,      #(3)
                                   kernel_size=3,       #(4)
                                   stride=1)
        
    def ahead(self, x):
        unique = x.clone()
        print(f'originalt: {x.measurement()}')
        
        x = self.conv0(x)
        print(f'after conv0t: {x.measurement()}')
        
        x = self.conv1(x)
        print(f'after conv1t: {x.measurement()}')
        
        x = x + unique      #(5)
        print(f'after summationt: {x.measurement()}')
        
        return x

We’ll now check the Residual block we simply created utilizing the Codeblock 6 beneath. Right here I set the num_channels parameter to 64 as a result of I need to simulate the very first residual block within the Darknet-53 structure (see Determine 1).

# Codeblock 6
residual = Residual(num_channels=64)

x = torch.randn(1, 64, 208, 208)
out = residual(x)
# Codeblock 6 Output
unique        : torch.Dimension([1, 64, 208, 208])
after conv0     : torch.Dimension([1, 32, 208, 208])
after conv1     : torch.Dimension([1, 64, 208, 208])
after summation : torch.Dimension([1, 64, 208, 208])

Should you take a more in-depth take a look at the above output, you’ll discover that the form of the enter and output tensors are precisely the identical. This primarily permits us to repeat a number of residual blocks simply. Within the Codeblock 7 beneath I attempt to stack 4 residual blocks and cross a tensor via it, simulating the final stack of residual blocks within the structure.

# Codeblock 7
residuals = nn.ModuleList([])
for _ in vary(4):
    residual = Residual(num_channels=1024)
    residuals.append(residual)
    
x = torch.randn(1, 1024, 13, 13)

for i in vary(len(residuals)):
    x = residuals[i](x)
    print(f'after residuals #{i}t: {x.measurement()}')
# Codeblock 7 Output
after residuals #0 : torch.Dimension([1, 1024, 13, 13])
after residuals #1 : torch.Dimension([1, 1024, 13, 13])
after residuals #2 : torch.Dimension([1, 1024, 13, 13])
after residuals #3 : torch.Dimension([1, 1024, 13, 13])

Darknet-53 Implementation

Utilizing the Convolutional and Residual constructing blocks we created earlier, we will now truly assemble the Darknet-53 mannequin. Every part I initialize contained in the __init__() technique beneath is predicated on the structure in Determine 1. Nonetheless, keep in mind that we have to cease on the final residual block since we don’t want the worldwide common pooling and the fully-connected layers. Not solely that, on the strains marked with #(1) and #(2) I retailer the intermediate function maps in separate variables (branch0 and branch1). We’ll later return these function maps alongside the output from the principle stream (x) (#(3)) to implement the branches that stream into the three detection heads.

# Codeblock 8
class Darknet53(nn.Module):
    def __init__(self):
        tremendous().__init__()

        self.convolutional0 = Convolutional(in_channels=3,
                                            out_channels=32,
                                            kernel_size=3)
        
        self.convolutional1 = Convolutional(in_channels=32,
                                            out_channels=64,
                                            kernel_size=3,
                                            stride=2)
        
        self.residuals0 = nn.ModuleList([Residual(num_channels=64) for _ in range(1)])
        
        self.convolutional2 = Convolutional(in_channels=64,
                                            out_channels=128,
                                            kernel_size=3,
                                            stride=2)
        
        self.residuals1 = nn.ModuleList([Residual(num_channels=128) for _ in range(2)])
        
        self.convolutional3 = Convolutional(in_channels=128,
                                            out_channels=256,
                                            kernel_size=3,
                                            stride=2)
        
        self.residuals2 = nn.ModuleList([Residual(num_channels=256) for _ in range(8)])
        
        self.convolutional4 = Convolutional(in_channels=256,
                                            out_channels=512,
                                            kernel_size=3,
                                            stride=2)
        
        self.residuals3 = nn.ModuleList([Residual(num_channels=512) for _ in range(8)])
        
        self.convolutional5 = Convolutional(in_channels=512,
                                            out_channels=1024,
                                            kernel_size=3,
                                            stride=2)
        
        self.residuals4 = nn.ModuleList([Residual(num_channels=1024) for _ in range(4)])
        
    def ahead(self, x):
        print(f'originaltt: {x.measurement()}n')
        
        x = self.convolutional0(x)
        print(f'after convolutional0t: {x.measurement()}')
        
        x = self.convolutional1(x)
        print(f'after convolutional1t: {x.measurement()}n')
        
        for i in vary(len(self.residuals0)):
            x = self.residuals0[i](x)
            print(f'after residuals0 #{i}t: {x.measurement()}')
        
        x = self.convolutional2(x)
        print(f'nafter convolutional2t: {x.measurement()}n')
        
        for i in vary(len(self.residuals1)):
            x = self.residuals1[i](x)
            print(f'after residuals1 #{i}t: {x.measurement()}')
            
        x = self.convolutional3(x)
        print(f'nafter convolutional3t: {x.measurement()}n')
        
        for i in vary(len(self.residuals2)):
            x = self.residuals2[i](x)
            print(f'after residuals2 #{i}t: {x.measurement()}')
        
        branch0 = x.clone()           #(1)
            
        x = self.convolutional4(x)
        print(f'nafter convolutional4t: {x.measurement()}n')
        
        for i in vary(len(self.residuals3)):
            x = self.residuals3[i](x)
            print(f'after residuals3 #{i}t: {x.measurement()}')
        
        branch1 = x.clone()           #(2)
            
        x = self.convolutional5(x)
        print(f'nafter convolutional5t: {x.measurement()}n')
        
        for i in vary(len(self.residuals4)):
            x = self.residuals4[i](x)
            print(f'after residuals4 #{i}t: {x.measurement()}')
            
        return branch0, branch1, x    #(3)

Now we check our Darknet53 class by working the Codeblock 9 beneath. You may see within the ensuing output that every little thing appears to work correctly as the form of the tensor appropriately transforms in line with the information in Determine 1. One factor that I haven’t talked about earlier than is that this Darknet-53 structure downscales the enter picture by an element of 32. So, with this downsampling issue, an enter picture of form 256×256 will turn into 8×8 ultimately (as proven in Determine 1), whereas an enter of form 416×416 will end in a 13×13 prediction tensor.

# Codeblock 9
darknet53 = Darknet53()

x = torch.randn(1, 3, 416, 416)
out = darknet53(x)
# Codeblock 9 Output
unique              : torch.Dimension([1, 3, 416, 416])

after convolutional0  : torch.Dimension([1, 32, 416, 416])
after convolutional1  : torch.Dimension([1, 64, 208, 208])

after residuals0 #0   : torch.Dimension([1, 64, 208, 208])

after convolutional2  : torch.Dimension([1, 128, 104, 104])

after residuals1 #0   : torch.Dimension([1, 128, 104, 104])
after residuals1 #1   : torch.Dimension([1, 128, 104, 104])

after convolutional3  : torch.Dimension([1, 256, 52, 52])

after residuals2 #0   : torch.Dimension([1, 256, 52, 52])
after residuals2 #1   : torch.Dimension([1, 256, 52, 52])
after residuals2 #2   : torch.Dimension([1, 256, 52, 52])
after residuals2 #3   : torch.Dimension([1, 256, 52, 52])
after residuals2 #4   : torch.Dimension([1, 256, 52, 52])
after residuals2 #5   : torch.Dimension([1, 256, 52, 52])
after residuals2 #6   : torch.Dimension([1, 256, 52, 52])
after residuals2 #7   : torch.Dimension([1, 256, 52, 52])

after convolutional4  : torch.Dimension([1, 512, 26, 26])

after residuals3 #0   : torch.Dimension([1, 512, 26, 26])
after residuals3 #1   : torch.Dimension([1, 512, 26, 26])
after residuals3 #2   : torch.Dimension([1, 512, 26, 26])
after residuals3 #3   : torch.Dimension([1, 512, 26, 26])
after residuals3 #4   : torch.Dimension([1, 512, 26, 26])
after residuals3 #5   : torch.Dimension([1, 512, 26, 26])
after residuals3 #6   : torch.Dimension([1, 512, 26, 26])
after residuals3 #7   : torch.Dimension([1, 512, 26, 26])

after convolutional5  : torch.Dimension([1, 1024, 13, 13])

after residuals4 #0   : torch.Dimension([1, 1024, 13, 13])
after residuals4 #1   : torch.Dimension([1, 1024, 13, 13])
after residuals4 #2   : torch.Dimension([1, 1024, 13, 13])
after residuals4 #3   : torch.Dimension([1, 1024, 13, 13])

At this level we will additionally see what the outputs produced by the three branches appear to be just by printing out the shapes of branch0, branch1, and x as proven in Codeblock 10 beneath. Discover that the spatial dimensions of those three tensors differ. In a while, the tensors from the deeper layers might be upsampled in order that we will carry out channel-wise concatenation with these from the shallower ones.

# Codeblock 10
print(out[0].form)      # branch0
print(out[1].form)      # branch1
print(out[2].form)      # x
# Codeblock 10 Output
torch.Dimension([1, 256, 52, 52])
torch.Dimension([1, 512, 26, 26])
torch.Dimension([1, 1024, 13, 13])

Detection Head Implementation

Should you return to Determine 4, you’ll discover that every of the detection heads consists of two convolution layers. Nonetheless, these two convolutions will not be similar. In Codeblock 11 beneath I exploit the Convolutional block for the primary one and the plain nn.Conv2d for the second. That is primarily performed as a result of the second convolution acts as the ultimate layer, therefore is accountable for giving uncooked output (as an alternative of being normalized and ReLU-ed).

# Codeblock 11
class DetectionHead(nn.Module):
    def __init__(self, num_channels):
        tremendous().__init__()
        
        self.convhead0 = Convolutional(in_channels=num_channels,
                                       out_channels=num_channels*2,
                                       kernel_size=3)
        
        self.convhead1 = nn.Conv2d(in_channels=num_channels*2, 
                                   out_channels=NUM_PRIORS*(NUM_CLASS+5), 
                                   kernel_size=1)
        
    def ahead(self, x):
        print(f'originalt: {x.measurement()}')
        
        x = self.convhead0(x)
        print(f'after convhead0t: {x.measurement()}')
        
        x = self.convhead1(x)
        print(f'after convhead1t: {x.measurement()}')
   
        return x

Now in Codeblock 12 I’ll attempt to simulate the 13×13 detection head, therefore I set the enter function map to have the form of 512×13×13 (#(1)). By the way in which you’ll know the place the quantity 512 comes from later within the subsequent part.

# Codeblock 12
detectionhead = DetectionHead(num_channels=512)

x = torch.randn(1, 512, 13, 13)    #(1)
out = detectionhead(x)

And beneath is what the ensuing output appears to be like like. We will see right here that the tensor expands to 1024×13×13 earlier than ultimately shrink to 255×13×13. Do not forget that in YOLOv3 so long as we set NUM_PRIORS to three and NUM_CLASS to 80, the variety of output channel will all the time be 255 whatever the variety of enter channel fed into the DetectionHead.

# Codeblock 12 Output
unique        : torch.Dimension([1, 512, 13, 13])
after convhead0 : torch.Dimension([1, 1024, 13, 13])
after convhead1 : torch.Dimension([1, 255, 13, 13])

The Complete YOLOv3 Structure

Okay now — since now we have initialized the principle constructing blocks, what we have to do subsequent is to assemble the whole YOLOv3 structure. Right here I can even talk about the remaining elements we haven’t coated. The code is kind of lengthy although, so I break it down into two codeblocks: Codeblock 13a and Codeblock 13b. Simply make sure that these two codeblocks are written throughout the identical pocket book cell if you wish to run it by yourself.

In Codeblock 13a beneath, what we do first is to initialize the spine mannequin (#(1)). Subsequent, we create a stack of 5 Convolutional blocks which alternately halves and doubles the variety of channels. The conv block that reduces the channel rely makes use of 1×1 kernel whereas the one which will increase it makes use of 3×3 kernel, similar to the construction we use within the Residual block. We initialize this stack of 5 convolutions for the three detection heads. Particularly for the function maps that stream into the 26×26 and 52×52 heads, we have to initialize one other convolution layer (#(2) and #(4)) and an upsampling layer (#(3) and #(5)) along with the 5 convolutions.

# Codeblock 13a
class YOLOv3(nn.Module):
    def __init__(self):
        tremendous().__init__()
        
        ###############################################
        # Spine initialization.
        
        self.darknet53 = Darknet53()    #(1)
        
        
        ###############################################
        # For 13x13 output.
        
        self.conv0  = Convolutional(in_channels=1024, out_channels=512, kernel_size=1)
        self.conv1  = Convolutional(in_channels=512, out_channels=1024, kernel_size=3)
        self.conv2  = Convolutional(in_channels=1024, out_channels=512, kernel_size=1)
        self.conv3  = Convolutional(in_channels=512, out_channels=1024, kernel_size=3)
        self.conv4  = Convolutional(in_channels=1024, out_channels=512, kernel_size=1)
        
        self.detection_head_large_obj = DetectionHead(num_channels=512)
        
        
        ###############################################
        # For 26x26 output.
        
        self.conv5  = Convolutional(in_channels=512, out_channels=256, kernel_size=1)  #(2)
        self.upsample0 = nn.Upsample(scale_factor=2)      #(3)
        
        self.conv6  = Convolutional(in_channels=768, out_channels=256, kernel_size=1)
        self.conv7  = Convolutional(in_channels=256, out_channels=512, kernel_size=3)
        self.conv8  = Convolutional(in_channels=512, out_channels=256, kernel_size=1)
        self.conv9  = Convolutional(in_channels=256, out_channels=512, kernel_size=3)
        self.conv10 = Convolutional(in_channels=512, out_channels=256, kernel_size=1)
        
        self.detection_head_medium_obj = DetectionHead(num_channels=256)
        
        
        ###############################################
        # For 52x52 output.
        
        self.conv11  = Convolutional(in_channels=256, out_channels=128, kernel_size=1)  #(4)
        self.upsample1 = nn.Upsample(scale_factor=2)      #(5)
        
        self.conv12  = Convolutional(in_channels=384, out_channels=128, kernel_size=1)
        self.conv13  = Convolutional(in_channels=128, out_channels=256, kernel_size=3)
        self.conv14  = Convolutional(in_channels=256, out_channels=128, kernel_size=1)
        self.conv15  = Convolutional(in_channels=128, out_channels=256, kernel_size=3)
        self.conv16  = Convolutional(in_channels=256, out_channels=128, kernel_size=1)
        
        self.detection_head_small_obj = DetectionHead(num_channels=128)

Now in Codeblock 13b we outline the stream of the community contained in the ahead() technique. Right here we first cross the enter tensor via the darknet53 mannequin (#(1)), which produces 3 output tensors: branch0, branch1, and x. Then, what we do subsequent is to attach the layers one after one other in line with the stream given in Determine 4.

# Codeblock 13b
    def ahead(self, x):
        
        ###############################################
        # Spine.
        branch0, branch1, x = self.darknet53(x)      #(1)
        print(f'branch0ttt: {branch0.measurement()}')
        print(f'branch1ttt: {branch1.measurement()}')
        print(f'xttt: {x.measurement()}n')
        
        
        ###############################################
        # Move to 13x13 detection head.
        
        x = self.conv0(x)
        print(f'after conv0tt: {x.measurement()}')
        
        x = self.conv1(x)
        print(f'after conv1tt: {x.measurement()}')
        
        x = self.conv2(x)
        print(f'after conv2tt: {x.measurement()}')
        
        x = self.conv3(x)
        print(f'after conv3tt: {x.measurement()}')
        
        x = self.conv4(x)
        print(f'after conv4tt: {x.measurement()}')
        
        large_obj = self.detection_head_large_obj(x)
        print(f'giant object detectiont: {large_obj.measurement()}n')
        
        
        ###############################################
        # Move to 26x26 detection head.
        
        x = self.conv5(x)
        print(f'after conv5tt: {x.measurement()}')
        
        x = self.upsample0(x)
        print(f'after upsample0tt: {x.measurement()}')
        
        x = torch.cat([x, branch1], dim=1)
        print(f'after concatenatet: {x.measurement()}')
        
        x = self.conv6(x)
        print(f'after conv6tt: {x.measurement()}')
        
        x = self.conv7(x)
        print(f'after conv7tt: {x.measurement()}')
        
        x = self.conv8(x)
        print(f'after conv8tt: {x.measurement()}')
        
        x = self.conv9(x)
        print(f'after conv9tt: {x.measurement()}')
        
        x = self.conv10(x)
        print(f'after conv10tt: {x.measurement()}')
        
        medium_obj = self.detection_head_medium_obj(x)
        print(f'medium object detectiont: {medium_obj.measurement()}n')
        
        
        ###############################################
        # Move to 52x52 detection head.
        
        x = self.conv11(x)
        print(f'after conv11tt: {x.measurement()}')
        
        x = self.upsample1(x)
        print(f'after upsample1tt: {x.measurement()}')
        
        x = torch.cat([x, branch0], dim=1)
        print(f'after concatenatet: {x.measurement()}')
        
        x = self.conv12(x)
        print(f'after conv12tt: {x.measurement()}')
        
        x = self.conv13(x)
        print(f'after conv13tt: {x.measurement()}')
        
        x = self.conv14(x)
        print(f'after conv14tt: {x.measurement()}')
        
        x = self.conv15(x)
        print(f'after conv15tt: {x.measurement()}')
        
        x = self.conv16(x)
        print(f'after conv16tt: {x.measurement()}')
        
        small_obj = self.detection_head_small_obj(x)
        print(f'small object detectiont: {small_obj.measurement()}n')
        

        ###############################################
        # Return prediction tensors.
        
        return large_obj, medium_obj, small_obj

As now we have accomplished the ahead() technique, we will now check the whole YOLOv3 mannequin by passing a single RGB picture of measurement 416×416 as proven in Codeblock 14.

# Codeblock 14
yolov3 = YOLOv3()

x = torch.randn(1, 3, 416, 416)
out = yolov3(x)

Under is what the output appears to be like like after you run the codeblock above. Right here we will see that every little thing appears to work correctly because the dummy picture efficiently handed via all layers within the community. One factor that you just would possibly most likely have to know is that the 768-channel function map at line #(4) is obtained from the concatenation between the tensor at strains #(2) and #(3). The same factor additionally applies to the 384-channel tensor at line #(6), through which it’s the concatenation between the function maps at strains #(1) and #(5).

# Codeblock 14 Output
branch0                 : torch.Dimension([1, 256, 52, 52])    #(1)
branch1                 : torch.Dimension([1, 512, 26, 26])    #(2)
x                       : torch.Dimension([1, 1024, 13, 13])

after conv0             : torch.Dimension([1, 512, 13, 13])
after conv1             : torch.Dimension([1, 1024, 13, 13])
after conv2             : torch.Dimension([1, 512, 13, 13])
after conv3             : torch.Dimension([1, 1024, 13, 13])
after conv4             : torch.Dimension([1, 512, 13, 13])
giant object detection  : torch.Dimension([1, 255, 13, 13])

after conv5             : torch.Dimension([1, 256, 13, 13])
after upsample0         : torch.Dimension([1, 256, 26, 26])    #(3)
after concatenate       : torch.Dimension([1, 768, 26, 26])    #(4)
after conv6             : torch.Dimension([1, 256, 26, 26])
after conv7             : torch.Dimension([1, 512, 26, 26])
after conv8             : torch.Dimension([1, 256, 26, 26])
after conv9             : torch.Dimension([1, 512, 26, 26])
after conv10            : torch.Dimension([1, 256, 26, 26])
medium object detection : torch.Dimension([1, 255, 26, 26])

after conv11            : torch.Dimension([1, 128, 26, 26])
after upsample1         : torch.Dimension([1, 128, 52, 52])    #(5)
after concatenate       : torch.Dimension([1, 384, 52, 52])    #(6)
after conv12            : torch.Dimension([1, 128, 52, 52])
after conv13            : torch.Dimension([1, 256, 52, 52])
after conv14            : torch.Dimension([1, 128, 52, 52])
after conv15            : torch.Dimension([1, 256, 52, 52])
after conv16            : torch.Dimension([1, 128, 52, 52])
small object detection  : torch.Dimension([1, 255, 52, 52])

And simply to make issues clearer right here I additionally print out the output of every detection head in Codeblock 15 beneath. We will see right here that each one the ensuing prediction tensors have the form that we anticipated earlier. Thus, I imagine our YOLOv3 implementation is right and therefore prepared to coach.

# Codeblock 15
print(out[0].form)
print(out[1].form)
print(out[2].form)
# Codeblock 15 Output
torch.Dimension([1, 255, 13, 13])
torch.Dimension([1, 255, 26, 26])
torch.Dimension([1, 255, 52, 52])

I believe that’s just about every little thing about YOLOv3 and its structure implementation from scratch. As we’ve seen above, the authors efficiently made a formidable enchancment in efficiency in comparison with the earlier YOLO model, though the adjustments they made to the system weren’t what they thought-about important — therefore the title “An Incremental Enchancment.” 

Please let me know should you spot any mistake on this article. You may also discover the fully-working code in my GitHub repo [13]. Thanks for studying, see ya in my subsequent article!


References

[1] Joseph Redmon and Ali Farhadi. YOLOv3: An Incremental Enchancment. Arxiv. https://arxiv.org/abs/1804.02767 [Accessed August 24, 2025].

[2] Muhammad Ardi. YOLOv1 Paper Walkthrough: The Day YOLO First Noticed the World. Medium. https://ai.gopubby.com/yolov1-paper-walkthrough-the-day-yolo-first-saw-the-world-ccff8b60d84b [Accessed March 1, 2026].

[3] Muhammad Ardi. YOLOv1 Loss Operate Walkthrough: Regression for All. Medium. https://ai.gopubby.com/yolov1-loss-function-walkthrough-regression-for-all-18c34be6d7cb [Accessed March 1, 2026].

[4] Muhammad Ardi. YOLOv2 & YOLO9000 Paper Walkthrough: Higher, Quicker, Stronger. In the direction of Information Science. https://towardsdatascience.com/yolov2-yolo9000-paper-walkthrough-better-faster-stronger/ [Accessed March 1, 2026].

[5] Picture initially created by creator.

[6] YOLO v3 introduction to object detection with TensorFlow 2. PyLessons. https://pylessons.com/YOLOv3-TF2-introduction [Accessed August 24, 2025].

[7] aladdinpersson. YOLOv3. GitHub. https://github.com/aladdinpersson/Machine-Studying-Assortment/blob/grasp/ML/Pytorch/object_detection/YOLOv3/mannequin.py [Accessed August 24, 2025].

[8] Kaiming He et al. Deep Residual Studying for Picture Recognition. Arxiv. https://arxiv.org/abs/1512.03385 [Accessed August 24, 2025].

[9] Langcai Cao et al. A Textual content Detection Algorithm for Picture of Pupil Workouts Based mostly on CTPN and Enhanced YOLOv3. IEEE Entry. https://ieeexplore.ieee.org/doc/9200481 [Accessed August 24, 2025].

[10] Picture by creator, partially generated by Gemini.

[11] Joseph Redmon et al. You Solely Look As soon as: Unified, Actual-Time Object Detection. Arxiv. https://arxiv.org/pdf/1506.02640 [Accessed July 5, 2025].

[12] ML For Nerds. YOLO-V3: An Incremental Enchancment || YOLO OBJECT DETECTION SERIES. YouTube. https://www.youtube.com/watch?v=9fhAbvPWzKs&t=174s [Accessed August 24, 2025].

[13] MuhammadArdiPutra. Even Higher, however Not That A lot — YOLOv3. GitHub. https://github.com/MuhammadArdiPutra/medium_articles/blob/major/Evenpercent20Betterpercent2Cpercent20butpercent20Notpercent20Thatpercent20Muchpercent20-%20YOLOv3.ipynb [Accessed August 24, 2025].

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