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Applied Deep Learning on Graphs

You're reading from   Applied Deep Learning on Graphs Leverage graph data for business applications using specialized deep learning architectures

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Product type Paperback
Published in Dec 2024
Publisher Packt
ISBN-13 9781835885963
Length 250 pages
Edition 1st Edition
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Authors (2):
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Lakshya Khandelwal Lakshya Khandelwal
Author Profile Icon Lakshya Khandelwal
Lakshya Khandelwal
Subhajoy Das Subhajoy Das
Author Profile Icon Subhajoy Das
Subhajoy Das
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Toc

Table of Contents (19) Chapters Close

Preface 1. Part 1: Foundations of Graph Learning FREE CHAPTER
2. Chapter 1: Introduction to Graph Learning 3. Chapter 2: Graph Learning in the Real World 4. Chapter 3: Graph Representation Learning 5. Part 2: Advanced Graph Learning Techniques
6. Chapter 4: Deep Learning Models for Graphs 7. Chapter 5: Graph Deep Learning Challenges 8. Chapter 6: Harnessing Large Language Models for Graph Learning 9. Part 3: Practical Applications and Implementation
10. Chapter 7: Graph Deep Learning in Practice 11. Chapter 8: Graph Deep Learning for Natural Language Processing 12. Chapter 9: Building Recommendation Systems Using Graph Deep Learning 13. Chapter 10: Graph Deep Learning for Computer Vision 14. Part 4: Future Directions
15. Chapter 11: Emerging Applications 16. Chapter 12: The Future of Graph Learning 17. Index 18. Other Books You May Enjoy

Object detection and segmentation using GNNs

Object detection and segmentation are crucial tasks in CV, with applications ranging from autonomous driving to medical image analysis. While CNNs have been the go-to approach for these tasks, GNNs are emerging as a powerful alternative or complementary technique. This section will explore how GNNs can be applied to object detection and segmentation tasks while discussing various approaches and their advantages.

Graph-based object proposal generation

Object proposal generation is often the first step in many object detection pipelines. Traditional methods rely on sliding windows or region proposal networks, but graph-based approaches offer an interesting alternative. By representing an image as a graph, we can leverage the relational inductive bias of GNNs to generate more informed object proposals.

For example, consider an image represented as a graph of superpixels. Each superpixel (node) might have features such as color histograms, texture descriptors, and spatial information. Edges could represent adjacency or similarity between superpixels. A GNN can then process this graph to identify regions likely to contain objects.

Here’s a simplified example of how a GNN might be used for object proposal generation:

import torch
from torch_geometric.nn import GCNConv, global_mean_pool
class ObjectProposalGNN(torch.nn.Module):
    def __init__(self, num_node_features):
        super(ObjectProposalGNN, self).__init__()
        self.conv1 = GCNConv(num_node_features, 64)
        self.conv2 = GCNConv(64, 32)
        self.conv3 = GCNConv(32, 1)  # Output objectness score
    def forward(self, x, edge_index, batch):
        x = torch.relu(self.conv1(x, edge_index))
        x = torch.relu(self.conv2(x, edge_index))
        x = self.conv3(x, edge_index)
        return x
# Usage
model = ObjectProposalGNN(num_node_features=10)

In this example, the model processes the graph and outputs an “objectness” score for each node (superpixel). These scores can then be used to generate bounding box proposals by grouping high-scoring adjacent superpixels.

Relational reasoning for object detection

One of the key advantages of using GNNs for object detection is their ability to perform relational reasoning. Objects in an image often have meaningful relationships with each other, and capturing these relationships can significantly improve detection accuracy.

For instance, in a street scene, knowing that a “wheel” object is next to a “car” object can increase the confidence of both detections. Similarly, detecting a “person” on a “horse” can help in classifying the scene as an equestrian event. GNNs can naturally model these relationships through message passing between object proposals.

Consider an approach where initial object proposals are generated (either through a traditional method or a graph-based approach, as discussed earlier), and then a GNN is used to refine these proposals:

class RelationalObjectDetectionGNN(torch.nn.Module):
    def __init__(self, num_features, num_classes):
        super(RelationalObjectDetectionGNN, self).__init__()
        self.conv1 = GCNConv(num_features, 64)
        self.conv2 = GCNConv(64, 32)
        self.classifier = torch.nn.Linear(32, num_classes)
        self.bbox_regressor = torch.nn.Linear(32, 4)  # (x, y, w, h)
    def forward(self, x, edge_index):
        x = torch.relu(self.conv1(x, edge_index))
        x = torch.relu(self.conv2(x, edge_index))
        class_scores = self.classifier(x)
        bbox_refinement = self.bbox_regressor(x)
        return class_scores, bbox_refinement

In this model, each node represents an object proposal, and edges represent the relationships between proposals (for example, spatial proximity or feature similarity). The GNN refines the features of each proposal based on its relationships with other proposals, potentially leading to more accurate classifications and bounding box refinements.

Instance segmentation with GNNs

Instance segmentation, which combines object detection with pixel-level segmentation, can also benefit from graph-based approaches. GNNs can be used to refine segmentation masks by considering the relationships between different parts of an object or between different objects in the scene.

One approach is to represent an image as a graph of superpixels or pixels, where each node has features derived from a CNN backbone. A GNN can then process this graph to produce refined segmentation masks. This approach can be particularly effective for objects with complex shapes or in cases where global context is important for accurate segmentation.

For example, in medical image analysis, segmenting organs with complex shapes (such as the brain or lungs) can benefit from considering long-range dependencies and overall organ structure, which GNNs can capture effectively.

Here’s a conceptual example of how a GNN might be used for instance segmentation:

class InstanceSegmentationGNN(torch.nn.Module):
    def __init__(self, num_features):
        super(InstanceSegmentationGNN, self).__init__()
        self.conv1 = GCNConv(num_features, 64)
        self.conv2 = GCNConv(64, 32)
        self.conv3 = GCNConv(32, 1) #Output per-node mask probability
    def forward(self, x, edge_index, batch):
        x = torch.relu(self.conv1(x, edge_index))
        x = torch.relu(self.conv2(x, edge_index))
        mask_prob = torch.sigmoid(self.conv3(x, edge_index))
        return mask_prob

This model takes a graph representation of an image (for example, superpixels) and outputs a mask probability for each node. These probabilities can then be used to construct the final instance segmentation masks.

Panoptic segmentation using graph-structured outputs

Panoptic segmentation, which aims to provide a unified segmentation of both stuff (amorphous regions such as sky or grass) and things (countable objects), presents a unique challenge that graph-based methods are well suited to address. GNNs can model the complex relationships between different segments in the image, whether they represent distinct objects or parts of the background.

A graph-structured output for panoptic segmentation might represent each segment (both stuff and things) as nodes in a graph. Edges in this graph could represent adjacency or semantic relationships between segments. This representation allows the model to reason about the overall scene structure and ensure consistency in the segmentation.

For instance, in a street scene, a graph-based panoptic segmentation model might learn that “car” segments are likely to be adjacent to “road” segments but not “sky” segments. This relational reasoning can help refine the boundaries between different segments and resolve ambiguities.

Here’s a simplified example of how a GNN might be used for panoptic segmentation:

class PanopticSegmentationGNN(torch.nn.Module):
    def __init__(self, num_features, num_classes):
        super(PanopticSegmentationGNN, self).__init__()
        self.conv1 = GCNConv(num_features, 64)
        self.conv2 = GCNConv(64, 32)
        self.classifier = torch.nn.Linear(32, num_classes)
        self.instance_predictor = torch.nn.Linear(32, 1)
    def forward(self, x, edge_index):
        x = torch.relu(self.conv1(x, edge_index))
        x = torch.relu(self.conv2(x, edge_index))
        semantic_pred = self.classifier(x)
        instance_pred = self.instance_predictor(x)
        return semantic_pred, instance_pred

In this model, each node represents a segment in the image. The model outputs both semantic class predictions and instance predictions for each segment. The instance predictions can be used to distinguish between different instances of the same semantic class.

Next, we’ll look at how to leverage GNNs to build intelligence over multiple modalities.

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