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Graphs of functions provide a visual representation of how output values change in response to varying inputs. Each point on the graph corresponds to an ordered pair, where the x-coordinate (independent variable) determines the horizontal position and the y-coordinate (dependent variable) determines the vertical position. Linear functions like y = x give a straight line, indicating a constant rate of change.Nonlinear functions display more complex behaviors. Even power functions generate...
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The graph of the equation where y equals x squared forms a curve known as a parabola. This curve acts as a boundary in the coordinate plane, dividing it into distinct regions based on the relative position of points.When the equality sign in the equation is replaced with an inequality—such as greater than, less than, greater than or equal to, or less than or equal to—the graphical representation changes from a single curve into a broader shaded area that signifies the set of all...
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Updated: Jan 9, 2026

Evidence-based Knowledge Synthesis and Hypothesis Validation: Navigating Biomedical Knowledge Bases via Explainable AI and Agentic Systems
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Curriculum-guided graph self-augmentation: A progressive deepening framework for GNNs.

Li Yu1, Qirong Zhang1, Jin Li2

  • 1College of Computer and Data Science, Fuzhou University, Fuzhou, 350116, China.

Neural Networks : the Official Journal of the International Neural Network Society
|December 3, 2025
PubMed
Summary
This summary is machine-generated.

This study introduces Curriculum-Guided Graph Self-Augmentation (CGGSA), a novel framework to improve Graph Neural Networks (GNNs). CGGSA effectively addresses over-smoothing, enabling deeper architectures for enhanced node classification performance.

Keywords:
Curriculum learningDeep graph neural networksGraph self-augmentationOver-smoothingSemi-supervised node classification

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Area of Science:

  • Artificial Intelligence
  • Machine Learning
  • Graph Theory

Background:

  • Graph Neural Networks (GNNs) excel at graph-structured data but are hindered by over-smoothing in deep architectures.
  • Over-smoothing limits GNNs' ability to capture long-range node dependencies due to uniform aggregation weights.
  • Insufficient graph data information often prevents the effective use of deep GNNs.

Purpose of the Study:

  • To propose a progressive deepening framework, Curriculum-Guided Graph Self-Augmentation (CGGSA), for GNNs.
  • To overcome the limitations of shallow GNN architectures caused by over-smoothing.
  • To enhance the performance of GNNs in node classification tasks by enabling deeper information aggregation.

Main Methods:

  • CGGSA employs a progressive deepening strategy, starting with low-order neighborhood aggregation.
  • The framework uses learned guidance from simpler representations to augment graph structure and node features.
  • Aggregation depth is gradually increased to capture high-order dependencies, complemented by a class center separation loss.

Main Results:

  • CGGSA effectively alleviates the over-smoothing problem in GNNs.
  • The proposed method enables deeper GNN architectures to learn complex, long-range interactions.
  • Experiments on eleven benchmarks show CGGSA achieves competitive or superior performance in node classification.

Conclusions:

  • CGGSA is a viable framework for training deeper GNNs by progressively increasing aggregation depth.
  • The self-augmentation strategy and class center separation loss enhance node representation separability and model performance.
  • This approach significantly improves GNN capabilities for complex graph mining tasks.