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    This study introduces TCMSStack, a novel framework for multisource transfer learning that effectively captures diverse source-target similarities using Gaussian processes. TCMSStack improves regression performance by learning individual source-target relationships within an integrated model.

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    Area of Science:

    • Machine Learning
    • Artificial Intelligence
    • Statistical Modeling

    Background:

    • Multisource transfer learning faces challenges in accurately modeling diverse source-target similarities.
    • Existing Gaussian Process (GP) models often struggle with scalability and capturing unique similarities across multiple sources.

    Purpose of the Study:

    • To develop an advanced framework for multisource transfer regression that explicitly models varied source-target similarities.
    • To address the limitations of current GP-based approaches in handling complex transfer learning scenarios.

    Main Methods:

    • Investigated transfer covariance functions for GP models to represent source-target domain similarities.
    • Proposed TCMSStack, an integrated framework using separate transfer covariance functions for each source with a stacking approach.
    • Developed two instances of the TCMSStack framework.

    Main Results:

    • Demonstrated that general GP models with a single transfer covariance function yield suboptimal performance due to uniform similarity coefficients.
    • TCMSStack effectively learns source-target similarities by considering inter-source dependencies within base GP models.
    • Experimental results on synthetic and real-world datasets confirmed the effectiveness of the proposed approach, even with up to 11 sources.

    Conclusions:

    • TCMSStack offers a significant advancement in multisource transfer regression by enabling nuanced modeling of source-target relationships.
    • The framework overcomes scalability issues and improves transfer performance compared to traditional methods.
    • The proposed approach provides a robust solution for complex transfer learning tasks with multiple diverse data sources.