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An equation with two variables, typically written in the form y = f(x) or Ax + By = C, describes a relationship between quantities represented by x and y. Each solution to such an equation is an ordered pair (x, y) that satisfies the equation when substituted. These pairs can be represented graphically to understand the variables' relationship visually.A common technique for constructing the graph of a two-variable equation is to create a value table. Begin by choosing several values for the...
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Reliable and Compact Graph Fine-Tuning Via Graph Sparse Prompting.

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    Graph Sparse Prompting (GSP) introduces a novel approach to adapt pre-trained graph neural networks (GNNs). This method efficiently selects optimal graph elements for improved downstream task performance.

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    Area of Science:

    • Graph Neural Networks
    • Machine Learning
    • Data Science

    Background:

    • Graph prompt learning adapts pre-trained GNNs for various tasks.
    • Current methods prompt all graph elements, leading to redundancy and sub-optimality.

    Purpose of the Study:

    • To develop a more efficient graph prompting method by leveraging sparse representation theory.
    • To introduce Graph Sparse Prompting (GSP) for adaptive and selective element prompting.

    Main Methods:

    • Proposed Graph Sparse Prompting (GSP) to sparsely select optimal graph elements.
    • Introduced two GSP models: Graph Sparse Feature Prompting (GSFP) and Graph Sparse multi-Feature Prompting (GSmFP).
    • Developed a simple yet effective algorithm for solving GSFP and GSmFP models.

    Main Results:

    • GSFP and GSmFP offer a general scheme for tuning pre-trained GNNs using sparsity-guided prompt learning.
    • Experiments on 16 benchmark datasets demonstrated the effectiveness of the proposed GSFPs.
    • The proposed methods achieve compact prompting by adaptively selecting desired attributes.

    Conclusions:

    • Graph Sparse Prompting (GSP) provides an efficient and effective method for adapting pre-trained GNNs.
    • The proposed approach reduces redundancy by selectively prompting graph elements.
    • The GSP framework shows significant advantages across various graph learning tasks.