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arXiv 2511.20105cs.LG

多变量比特币波动率预测:梯度提升方法的确定性、概率性和特征重要性视角

Multivariate Forecasting of Bitcoin Volatility with Gradient Boosting: Deterministic, Probabilistic, and Feature Importance Perspectives

Faculty of Electrical Engineering, Czestochowa University of Technology(电子工程学院,捷斯托霍瓦技术大学);Faculty of Computer Science and Artificial Intelligence, Czestochowa University of Technology(计算机科学与人工智能学院,捷斯托霍瓦技术大学)

Grzegorz Dudek, Mateusz Kasprzyk, Paweł Pełka

AI总结:

本文利用LGBM模型从确定性和概率性角度预测比特币波动率,并通过特征重要性分析识别波动驱动因素。

摘要:

本研究探讨了Light Gradient Boosting Machine(LGBM)模型在比特币实际波动率的确定性和概率性预测中的应用。利用涵盖市场、行为和宏观经济指标的69个预测因子,我们评估了基于LGBM的模型性能,并将其与计量经济学和机器学习基准进行比较。在概率预测方面,我们探索了两种基于分位数的方法:直接使用pinball损失函数的分位数回归,以及将点预测转化为预测分布的残差模拟方法。为了识别波动的主要驱动因素,我们采用基于增益和排列特征重要性技术,一致强调了交易量、滞后波动度、投资者关注度和市场资本化的重要性。结果表明,LGBM模型能够有效捕捉加密货币市场的非线性和高方差特性,同时提供对底层波动动态的可解释见解。

英文摘要:

This study investigates the application of the Light Gradient Boosting Machine (LGBM) model for both deterministic and probabilistic forecasting of Bitcoin realized volatility. Utilizing a comprehensive set of 69 predictors -- encompassing market, behavioral, and macroeconomic indicators -- we evaluate the performance of LGBM-based models and compare them with both econometric and machine learning baselines. For probabilistic forecasting, we explore two quantile-based approaches: direct quantile regression using the pinball loss function, and a residual simulation method that transforms point forecasts into predictive distributions. To identify the main drivers of volatility, we employ gain-based and permutation feature importance techniques, consistently highlighting the significance of trading volume, lagged volatility measures, investor attention, and market capitalization. The results demonstrate that LGBM models effectively capture the nonlinear and high-variance characteristics of cryptocurrency markets while providing interpretable insights into the underlying volatility dynamics.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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