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On the Optimal Selection of Time-Lag Embedding Dimension for Deep Learning Approaches in Financial Forecasting With Big Data 大数据金融预测中深度学习方法时滞嵌入维数的最优选择
IF 2.7 3区 经济学 Q1 ECONOMICS Pub Date : 2025-09-22 DOI: 10.1002/for.70007
Mohammadreza Ghadimpour, Seyed Babak Ebrahimi, Stelios Bekrios, Ehsan Bagheri

Our expectation of stock price trends is the main factor in making a trading strategy or determining the right time to buy or sell a stock. Predictions on stock market prices are a great challenge due to its complexity and the dependence of prices on various economic and non-economic factors. Today, technological advances have led to proposing new methods in this field. Deep learning is one of these methods that has received much attention in recent years. In this study, using deep learning methods and, more specifically, long-short term memory (LSTM) and gated recurrent unit (GRU) networks, we predict the S&P 500 index in three different time frames: daily, weekly, and monthly. We also compare the efficiency of these two methods and examine the effect of choosing different time frames for the input data of these networks. The results indicate that the GRU network outperforms the LSTM network. Also, selecting an appropriate time frame for the input data may improve the network accuracy.

我们对股票价格趋势的预期是制定交易策略或决定买卖股票的正确时机的主要因素。由于股票市场价格的复杂性以及价格对各种经济和非经济因素的依赖性,预测股票市场价格是一项巨大的挑战。今天,技术的进步导致在这一领域提出了新的方法。深度学习是近年来备受关注的一种方法。在本研究中,使用深度学习方法,更具体地说,长短期记忆(LSTM)和门控制循环单元(GRU)网络,我们在三个不同的时间框架内预测标准普尔500指数:每日、每周和每月。我们还比较了这两种方法的效率,并检查了为这些网络的输入数据选择不同时间框架的效果。结果表明,GRU网络优于LSTM网络。此外,为输入数据选择适当的时间范围可以提高网络精度。
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引用次数: 0
European Union Allowance price forecasting with Multidimensional Uncertainties: A TCN-iTransformer Approach for Interval Estimation 具有多维不确定性的欧盟补贴价格预测:一种区间估计的tcn - ittransformer方法
IF 2.7 3区 经济学 Q1 ECONOMICS Pub Date : 2025-09-21 DOI: 10.1002/for.70024
Ran Wu, Mohammad Zoynul Abedin, Hongjun Zeng, Brian Lucey

In response to the research demand for forecasting European Union Allowance (EUA) prices, this paper proposes a probabilistic forecasting framework based on a spatiotemporal convolutional neural network. This framework innovatively integrates multidimensional external uncertainty indicators, captures the long-term dependencies of carbon prices through a spatiotemporal convolutional structure, and combines quantile regression with conformal prediction to effectively estimate prediction intervals. Empirical studies demonstrate that the proposed TCN-iTransformer model outperforms existing methods in both point prediction and interval prediction, exhibiting excellent prediction interval coverage probability and normalized average width at different confidence intervals. The Diebold–Mariano (DM) test and ordinary least squares (OLS) regression analysis further validate the predictive advantages of the proposed model. Furthermore, SHAP analysis reveals that the U.S. Treasury yield spread has the most significant impact on EUA price forecasting, while geopolitical risks predominantly exert negative effects. The research findings provide important references for constructing risk mitigation strategies in the European Union carbon emissions market under complex market environments.

针对欧盟补贴(EUA)价格预测的研究需求,提出了一种基于时空卷积神经网络的概率预测框架。该框架创新地整合了多维外部不确定性指标,通过时空卷积结构捕捉碳价格的长期依赖关系,并将分位数回归与适形预测相结合,有效地估计预测区间。实证研究表明,所提出的TCN-iTransformer模型在点预测和区间预测方面均优于现有方法,在不同置信区间具有良好的预测区间覆盖概率和归一化平均宽度。Diebold-Mariano (DM)检验和普通最小二乘(OLS)回归分析进一步验证了该模型的预测优势。此外,SHAP分析显示,美国国债收益率差对EUA价格预测的影响最为显著,而地缘政治风险对EUA价格预测的影响主要为负向。研究结果为复杂市场环境下欧盟碳排放市场风险缓解策略的构建提供了重要参考。
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引用次数: 0
Monetary Policy, Investor Sentiment, and Multiscale Jump Behavior of the Chinese Stock Market 货币政策、投资者情绪与中国股市的多尺度跳跃行为
IF 2.7 3区 经济学 Q1 ECONOMICS Pub Date : 2025-09-17 DOI: 10.1002/for.70028
Jia Wang, Pu Chen, Xiong Xiong

We examine the time-varying jump behavior of the Chinese stock market across various time scales. A novel hybrid model (VMD-ARJI-X) is proposed that integrates variational mode decomposition (VMD) with the autoregressive jump intensity model (ARJI), which also incorporates monetary policy and investor sentiment as explicit variables. Results indicate that the interactions between monetary policy and investor sentiment significantly amplify jump risk at the short- and medium-term scales, while the effect is less pronounced over long-term horizons. The predictive capability of the VMD-ARJI-X, which embeds interest rate and investor sentiment into the jump intensity component, outperforms other benchmark models. Our findings provide policymakers with actionable insights for identifying extreme risks triggered by both policy and sentiment and obtaining forward-looking warnings. The multiscale jump signals offer a practical tool to design dynamic risk management strategies for investors.

本文研究了中国股票市场在不同时间尺度上的时变跳跃行为。将变分模态分解(VMD)与自回归跳跃强度模型(ARJI)相结合,并将货币政策和投资者情绪作为显变量,提出了一种新的混合模型(VMD-ARJI- x)。结果表明,货币政策和投资者情绪之间的相互作用在中短期尺度上显著放大了跳跃风险,而在长期尺度上则不太明显。VMD-ARJI-X的预测能力优于其他基准模型,该模型将利率和投资者情绪嵌入到跳跃强度成分中。我们的研究结果为决策者提供了可操作的见解,以识别由政策和情绪引发的极端风险,并获得前瞻性预警。多尺度跳跃信号为投资者设计动态风险管理策略提供了实用工具。
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引用次数: 0
Smart Forecasting of Carbon Prices Using Machine Learning and Neural Networks: When ARIMA Meets XGBoost and LSTM 使用机器学习和神经网络的碳价格智能预测:当ARIMA遇到XGBoost和LSTM时
IF 2.7 3区 经济学 Q1 ECONOMICS Pub Date : 2025-09-16 DOI: 10.1002/for.70025
Giorgos Kotsompolis, Panagiotis Cheilas, Konstantinos N. Konstantakis, Evangelos Sfakianakis, Stephane Goutte, Panayotis G. Michaelides

Accurate prediction of carbon prices is crucial for policymakers, investors, and other participants in emissions trading schemes (ETS) and during regulatory transitions. In this work, carbon price movements are forecasted using a nonlinear ARIMA model as the baseline, alongside XGBoost and LSTM as competing models. The widely adopted XGBoost model is a machine learning (ML) technique, while the LSTM model belongs to the class of Recurrent Neural Network (RNN) models. To harness the predictive strengths of both approaches, we also employ a hybrid model that averages forecasts from the LSTM and XGBoost models. The dataset used in this study is in daily format, ranging from December 1, 2010, to January 10, 2025. The results show that both XGBoost and LSTM outperform the baseline ARIMA model. Furthermore, the hybrid model demonstrates statistically significant improvements in forecasting accuracy compared to the baseline model. These findings suggest that ML- and RNN-based approaches can serve as effective alternatives to traditional statistical and econometric models in carbon pricing forecasting.

准确预测碳价格对政策制定者、投资者和其他参与排放交易计划(ETS)的参与者以及在监管转型期间至关重要。本研究使用非线性ARIMA模型作为基准,XGBoost和LSTM作为竞争模型预测碳价格走势。广泛采用的XGBoost模型是一种机器学习(ML)技术,而LSTM模型属于递归神经网络(RNN)模型。为了利用这两种方法的预测优势,我们还采用了一个混合模型,该模型平均了LSTM和XGBoost模型的预测。本研究使用的数据集为日格式,时间范围为2010年12月1日至2025年1月10日。结果表明,XGBoost和LSTM都优于基线ARIMA模型。此外,与基线模型相比,混合模型在预测精度上有统计学上的显著提高。这些发现表明,基于ML和rnn的方法可以有效替代传统的统计和计量模型进行碳定价预测。
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引用次数: 0
Forecasting the High-Frequency Covariance Matrix Using the LSTM-MF Model 利用LSTM-MF模型预测高频协方差矩阵
IF 2.7 3区 经济学 Q1 ECONOMICS Pub Date : 2025-09-15 DOI: 10.1002/for.70021
Guangying Liu, Kewen Shi, Meng Yuan
<div> <p>Accurate forecasting of high-dimensional covariance matrices is essential for portfolio and risk management. In this paper, we utilize high-frequency financial data to obtain a realized covariance matrix. Realized semicovariance is employed to decompose the covariance matrix into three components: the positive part <span></span><math> <msub> <mi>P</mi> <mi>t</mi> </msub></math>, the negative part <span></span><math> <msub> <mi>N</mi> <mi>t</mi> </msub></math>, and the mixed part <span></span><math> <msub> <mi>M</mi> <mi>t</mi> </msub></math>. DRD decomposition is applied to <span></span><math> <msub> <mi>P</mi> <mi>t</mi> </msub></math> to obtain the realized volatility matrix <span></span><math> <msubsup> <mi>D</mi> <mi>t</mi> <mo>+</mo> </msubsup></math> and the realized correlation matrix <span></span><math> <msubsup> <mi>R</mi> <mi>t</mi> <mo>+</mo> </msubsup></math>. We then use a deep learning long short-term memory (LSTM) model to predict <span></span><math> <msubsup> <mi>D</mi> <mi>t</mi> <mo>+</mo> </msubsup></math> and employ the vector heterogeneous autoregressive (HAR) model to forecast the vectorization of <span></span><math> <msubsup> <mi>R</mi> <mi>t</mi> <mo>+</mo> </msubsup></math>, thereby constructing a predictive model for <span></span><math> <msub> <mi>P</mi> <mi>t</mi> </msub></math>. The forecasting procedure for the negative part <span></span><math> <msub> <mi>N</mi> <mi>t</mi> </msub></math> mirrors that for the positive part <span></span><math> <msub> <mi>P</mi> <mi>t</mi> </msub></math>. The matrix factor (MF) model is utilized to reduce the dimensionality of <span></span><math> <msub> <mi>M</mi> <mi>t</mi> </msub></math> and obtain a factor matrix, which is then predicted using the vector HAR model for the vectorization of factor matrices, thus constructing the LSTM-MF realized covariance matrix prediction model. Economic evaluation of the covariance prediction model is conducted using minimum-variance portfolios with and without <span></span><math> <msub> <mi>L</mi> <mn>1</mn> </msub></math> constraint. Empirical analysis demonstrates that, compared with other covariance prediction models considered, the LSTM-MF model achieves sup
高维协方差矩阵的准确预测对投资组合和风险管理至关重要。本文利用高频金融数据得到一个已实现的协方差矩阵。利用已实现的半方差将协方差矩阵分解为三部分:正部分P t,负部分N t和混合部分M t。对P t进行DRD分解,得到实现的波动率矩阵D t +和实现的相关矩阵R t +。然后,我们使用深度学习长短期记忆(LSTM)模型来预测D t +,并使用向量异构自回归(HAR)模型来预测R t +的向量化,从而构建P t的预测模型。负部分nt的预测过程反映了正部分pt的预测过程。利用矩阵因子(matrix factor, MF)模型对M- t进行降维得到因子矩阵,然后利用向量HAR模型对因子矩阵进行矢量化预测,从而构建LSTM-MF实现的协方差矩阵预测模型。利用最小方差组合对协方差预测模型进行了经济评价。实证分析表明,与所考虑的其他协方差预测模型相比,LSTM-MF模型的预测精度更高,夏普比也更高,表明其整体有效性。本文的支持信息可在网上获得。
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引用次数: 0
Augmenting Neural Networks With Time-Varying Weights 时变权值的增强神经网络
IF 2.7 3区 经济学 Q1 ECONOMICS Pub Date : 2025-09-09 DOI: 10.1002/for.70014
William Rudd, Howard Bondell, Jeremy Silver

In the macroeconomic forecasting community, there is increasing interest in machine learning methods that can extract nonlinear predictive content from large datasets with a high number of predictors. Meanwhile, time-varying parameter (TVP) models are known to flexibly model time series by allowing regression coefficients to vary over time. This paper generalizes neural networks to allow for time variation of the weights of the final layer. The variance components of the time-varying weights are estimated alongside the fixed network weights via an EM algorithm. The result is the time-varying neural network (TVNN), a fully supervised, nonlinear model, which combines the desirable properties of classical econometric approaches with the predictive capacity of neural networks. The TVNN model yields improved forecasts over similarly tuned feedforward neural networks with fixed weights, recurrent network architectures, and benchmark autoregressive models on time series from the popular FRED-MD database.

在宏观经济预测领域,人们对机器学习方法越来越感兴趣,这种方法可以从具有大量预测因子的大型数据集中提取非线性预测内容。同时,时变参数(TVP)模型通过允许回归系数随时间变化而灵活地建模时间序列。本文将神经网络推广到允许最后一层权重随时间变化。通过EM算法估计时变权重的方差分量和固定网络权重。结果是时变神经网络(TVNN),一个完全监督的非线性模型,它结合了经典计量经济学方法的理想特性和神经网络的预测能力。TVNN模型比具有固定权重的前馈神经网络、循环网络架构和基于流行的FRED-MD数据库的时间序列的基准自回归模型的预测效果更好。
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引用次数: 0
Probabilistic Classification in Business Cycles Identification Based on Generalized ROC 基于广义ROC的商业周期识别中的概率分类
IF 2.7 3区 经济学 Q1 ECONOMICS Pub Date : 2025-09-03 DOI: 10.1002/for.70020
Maximo Camacho, Andres Romeu, Salvador Ramallo

The area under the receiver operating characteristic (AUROC) curve is a widely used tool for assessing and ranking global classifier performance. However, because AUROC ignores the scale of predicted probabilities, it can sometimes provide a misleading performance evaluation. To address this limitation, we build on the area under the Kuipers score curve (AUKSC), and reinterpret this metric by extending the traditional ROC curve into a three-dimensional framework that incorporates thresholds, leading to the area of the generalized ROC (AGROC) curve, thus providing a unified measure of classification performance. Through extensive Monte Carlo simulations, we demonstrate that AGROC effectively addresses the limitations of traditional AUROC metrics, offering a more robust tool for ranking probabilistic classifiers by balancing accuracy and probabilistic differentiation. In an empirical application, we show that AGROC accurately identifies recession probabilities derived from various Markov-switching models applied to US GDP growth data, aligning closely with NBER-defined business cycle phases.

接收者工作特征曲线下面积(AUROC)是一种广泛使用的评估和排序全局分类器性能的工具。然而,由于AUROC忽略了预测概率的尺度,它有时会提供误导性的性能评估。为了解决这一限制,我们建立在Kuipers评分曲线(AUKSC)下的面积上,并通过将传统的ROC曲线扩展到包含阈值的三维框架来重新解释这一指标,从而导致广义ROC曲线(AGROC)的面积,从而提供分类性能的统一度量。通过广泛的蒙特卡罗模拟,我们证明了AGROC有效地解决了传统AUROC指标的局限性,通过平衡准确性和概率差异,为概率分类器排序提供了一个更强大的工具。在一个实证应用中,我们表明,AGROC准确地识别了从应用于美国GDP增长数据的各种马尔可夫转换模型得出的衰退概率,与nber定义的商业周期阶段密切一致。
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引用次数: 0
A Multiscale Transformer Model for Long Time Series Forecasting Based on Discrete Wavelet Transform and Residual Learning Modules 基于离散小波变换和残差学习模块的多尺度变压器长时间序列预测模型
IF 2.7 3区 经济学 Q1 ECONOMICS Pub Date : 2025-09-02 DOI: 10.1002/for.70023
Menghan Li, Xiaofeng Zhang, Yepeng Liu, Hua Wang, Yujuan Sun, Pengbin Zhang, Qingjun Wang

Transformer-based models have witnessed remarkable advancements in the domain of time series forecasting. However, significant challenges persist in effectively handling large volumes of historical data and comprehensively capturing multiscale characteristics inherent in time series. This paper proposes a novel time series forecasting model that integrates the Discrete Wavelet Transform (DWT) and residual learning modules. This integration is aimed at enhancing the model's proficiency in capturing the intricate nonlinear and multiscale features of time series data. The proposed model leverages DWT to decompose the time series into multiple scales, enabling it to effectively capture both local and global features across diverse temporal resolutions. The residual learning modules are meticulously designed to improve the training stability of the model and augment its feature extraction capabilities. Additionally, local and global attention mechanisms are employed to comprehensively capture short- and long-term dependencies within time series data. Comprehensive experiments conducted on seven real-world datasets demonstrate that the proposed approach outperforms state-of-the-art deep learning models in long-term time series forecasting tasks. It achieves higher accuracy and better generalization performance. Ablation studies are also carried out, which further validate the individual contributions of each module to the overall performance of the proposed model, providing strong evidence for the effectiveness of the model's design.

基于变压器的模型在时间序列预测领域取得了显著的进步。然而,有效处理大量历史数据和全面捕获时间序列固有的多尺度特征仍然存在重大挑战。提出了一种融合离散小波变换和残差学习模块的时间序列预测模型。这种整合旨在提高模型对时间序列数据复杂的非线性和多尺度特征的捕捉能力。该模型利用DWT将时间序列分解成多个尺度,使其能够有效地捕获不同时间分辨率的局部和全局特征。残差学习模块经过精心设计,以提高模型的训练稳定性并增强其特征提取能力。此外,采用局部和全局关注机制来全面捕获时间序列数据中的短期和长期依赖关系。在七个真实数据集上进行的综合实验表明,所提出的方法在长期时间序列预测任务中优于最先进的深度学习模型。实现了更高的精度和更好的泛化性能。消融研究进一步验证了每个模块对模型整体性能的贡献,为模型设计的有效性提供了强有力的证据。
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引用次数: 0
Predicting UK House Prices Through Stocks Tied to the Housing Market 通过股票预测英国房价与房地产市场挂钩
IF 2.7 3区 经济学 Q1 ECONOMICS Pub Date : 2025-08-29 DOI: 10.1002/for.70008
Shiu-Sheng Chen, Tzu-Yu Lin

Tracking house prices is crucial for identifying risks to the banking sector and overall financial stability, making accurate predictions essential. This study examines whether housing-related stock returns can predict house price fluctuations in the United Kingdom. Using monthly data from 1983 to 2023, empirical evidence suggests that these equity returns strongly predict UK house price changes 1 month ahead. Because housing-related stock prices provide reliable and easily accessible forecasts of housing market trends, the findings offer valuable insights for investors and policymakers.

跟踪房价对于识别银行业和整体金融稳定面临的风险至关重要,做出准确的预测至关重要。本研究考察了英国住房相关股票收益能否预测房价波动。利用1983年至2023年的月度数据,经验证据表明,这些股票回报率可以强有力地预测未来一个月英国房价的变化。由于与住房相关的股票价格提供了可靠且易于获取的住房市场趋势预测,因此研究结果为投资者和政策制定者提供了有价值的见解。
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引用次数: 0
Dynamic Econometric Models: A State-Space Formulation 动态计量经济模型:一个状态空间公式
IF 2.7 3区 经济学 Q1 ECONOMICS Pub Date : 2025-08-29 DOI: 10.1002/for.70017
Mariane B. Alves, Helio S. Migon, André F. B. Menezes, Eduardo G. Pinheiro, Silvaneo V. dos Santos Jr.

In the area of econometrics, the investigation and characterization of processes that retain memory for the past are often of interest. This work overcomes collinearity problems that arise in distributed lag formulations by modeling these effects as structural elements within nonlinear dynamic models using transfer functions. Our main contribution lies in performing sequential Bayesian inference for nonlinear dynamic models, providing an efficient computational solution based on analytical approximations. The scalability offered by the proposed sequential method is particularly relevant in the econometric context, where long time series or multiple levels of disaggregation are often encountered. The proposed models incorporate stochastic volatility, achieved through the use of discount factors. An extensive simulation investigation validates the inferential approximation. The results of the proposed sequential and analytical approximation are compared with the inference obtained through Hamiltonian Monte Carlo in a particular application to real-world consumption data. The results show that the sequential approach produces results that are largely comparable while requiring a significantly shorter amount of computing time. Using the proposed Bayesian state-space framework and a thorough examination of the Phillips curve, a case study is developed focusing on the relationship between inflation and the output gap in the Brazilian scenario. We conclude with a substantial contribution, based on an innovative approach that preserves Bayesian sequential inference and offers a joint model for inflation and the output gap, with dynamic predictive structures assigned to the means, precisions, and correlation between both economic indicators.

在计量经济学领域,对保留过去记忆的过程的调查和表征经常引起人们的兴趣。通过使用传递函数将这些效应建模为非线性动态模型中的结构元素,本工作克服了分布滞后公式中出现的共线性问题。我们的主要贡献在于对非线性动态模型进行顺序贝叶斯推理,提供基于解析近似的有效计算解决方案。所建议的顺序方法所提供的可伸缩性在计量经济学上下文中特别相关,因为在计量经济学上下文中经常遇到长时间序列或多级分解。所提出的模型包含随机波动,通过使用贴现因子实现。广泛的模拟研究验证了推理近似。所提出的顺序和解析近似的结果与通过哈密顿蒙特卡罗在实际消费数据的特定应用中得到的推断进行了比较。结果表明,顺序方法产生的结果在很大程度上具有可比性,同时需要更短的计算时间。利用提出的贝叶斯状态空间框架和对菲利普斯曲线的彻底检查,开发了一个案例研究,重点关注巴西情景中通货膨胀与产出缺口之间的关系。最后,我们做出了重大贡献,基于一种创新的方法,该方法保留了贝叶斯顺序推理,并提供了通货膨胀和产出缺口的联合模型,并将动态预测结构分配给两种经济指标之间的均值、精度和相关性。
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引用次数: 0
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Journal of Forecasting
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