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Linearity is a system property characterized by a direct input-output relationship, combining homogeneity and additivity.
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Continuous-time systems have continuous input and output signals, with time measured continuously. These systems are generally defined by differential or algebraic equations. For instance, in an RC circuit, the relationship between input and output voltage is expressed through a differential equation derived from Ohm's law and the capacitor relation,
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Aggregate classification is generally based on its size, petrographic characteristics, weight, and source. Size classification ranges from coarse to fine aggregates, defined by the size of the particles. Coarse aggregates are particles that do not pass through ASTM sieve No. 4, and aggregates that pass through the sieve are fine aggregates.
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In the application of the Routh-Hurwitz criterion, two specific scenarios can arise that complicate stability analysis.
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An edge sensitivity based gradient attack on graph isomorphic networks for graph classification problems.

Srinitish Srinivasan1, Chandraumakantham OmKumar2

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Researchers developed a novel white box gradient attack for Graph Neural Networks (GNNs). This attack significantly reduces GNN performance on graph classification tasks, highlighting vulnerabilities in current models.

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Area of Science:

  • Machine Learning
  • Graph Neural Networks
  • Adversarial Attacks

Background:

  • Graph Neural Networks (GNNs) are powerful for modeling relationships but lack ideal Euclidean space representations.
  • GNNs are vulnerable to adversarial attacks, yet gradient-based attacks on latent space embeddings are underexplored.

Purpose of the Study:

  • To propose a novel white box gradient-based adversarial attack for GNNs using contrastive latent space representations.
  • To develop a robust GNN model that learns spectral and spatial graph properties, considering isomorphic properties.

Main Methods:

  • Developed a white box gradient-based attack targeting GNN latent space embeddings.
  • Constructed a strong base GNN model incorporating spectral, spatial, and isomorphic properties.
  • Validated the GNN model on four molecular property prediction datasets.

Main Results:

  • The proposed GNN model outperformed over 75% of evaluated LLM-based architectures.
  • The adversarial attack reduced the GNN model's performance by an average of 25% on graph classification tasks.

Conclusions:

  • The study introduces a new adversarial attack strategy for GNNs, addressing gaps in existing literature.
  • The findings demonstrate the susceptibility of robust GNNs to latent space attacks and inform the development of more resilient models.