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    A fast kernel ridge regression (KRR) algorithm with a truncated Gaussian radial basis function (TRBF) kernel offers a cost-effective solution for large-scale active authentication systems, outperforming traditional support vector machines (SVM).

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    Area of Science:

    • Machine Learning
    • Biometrics
    • Computer Security

    Background:

    • Large-scale active authentication systems require efficient algorithms.
    • Traditional methods like Support Vector Machines (SVM) with Gaussian Radial Basis Function (RBF) kernels can be computationally expensive for large datasets.

    Purpose of the Study:

    • To introduce a fast Kernel Ridge Regression (KRR) learning algorithm for large-scale active authentication.
    • To implement a truncated Gaussian Radial Basis Function (TRBF) kernel for improved cost-performance.
    • To evaluate the computational advantages and error rate performance compared to traditional SVM.

    Main Methods:

    • Adoption of a fast Kernel Ridge Regression (KRR) learning algorithm.
    • Implementation of a truncated Gaussian Radial Basis Function (TRBF) kernel.
    • Comparative analysis against Support Vector Machine (SVM) with Gaussian-RBF kernel.

    Main Results:

    • The fast-KRR with TRBF kernel achieved an Equal Error Rate (EER) of 1.39% with significantly reduced training time.
    • SVM with Gaussian-RBF kernel showed a comparable EER of 1.41% but with higher training time.
    • The developed authentication system demonstrates cost-effectiveness.

    Conclusions:

    • The fast-KRR algorithm combined with the TRBF kernel provides a computationally advantageous and cost-effective solution for large-scale active authentication.
    • This approach maintains high performance in terms of error rates while reducing computational costs.