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To mitigate these methodological limitations, this research employs Gaussian Process Regression (GPR) incorporating diverse kernel configurations and basis functions to examine monthly fluctuations in residential property values within Jiaxing City, Zhejiang Province, utilizing a comprehensive dataset covering October 2011 to July 2024. The framework was enhanced through Bayesian hyperparameter optimization and cross-validation techniques, demonstrating robust predictive accuracy in out-of-sample evaluations (January 2022\u2013July 2024), evidenced by a Relative Root Mean Square Error (RRMSE) of 0.2523%. 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