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<p>In this paper, we introduce a new algorithm of learning with exponential cost function within the framework of statistical learning theory. We establish an important comparison theorem that illustrates the relationship between the prediction error and the excess generalization error under the moment condition. Furthermore, the paper investigates the generalization performance of algorithm and the robustness of exponential cost function. We prove that the resulting estimator enjoys asymptotic optimality and robustness under certain conditions. Numerical simulations are provided to demonstrate our theoretical findings.</p>

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Fast rates of exponential cost function

  • 期刊论文

  • 发表日期：

    2025年2月13日

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  • Qian Sun,
  • Yang Zhou,
  • Shouyou Huang

摘要

In this paper, we introduce a new algorithm of learning with exponential cost function within the framework of statistical learning theory. We establish an important comparison theorem that illustrates the relationship between the prediction error and the excess generalization error under the moment condition. Furthermore, the paper investigates the generalization performance of algorithm and the robustness of exponential cost function. We prove that the resulting estimator enjoys asymptotic optimality and robustness under certain conditions. Numerical simulations are provided to demonstrate our theoretical findings.