Multifractal Carbon Market Price Forecasting with Memory-Guided Adversarial Network

Carbon market price prediction is critical for stabilizing markets and advancing low-carbon transitions, where capturing multifractal dynamics is essential. Traditional models often neglect the inherent long-term memory and nonlinear dependencies of carbon price series. To tackle the issues of nonli...

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Main Authors: Na Li, Mingzhu Tang, Jingwen Deng, Liran Wei, Xinpeng Zhou
Format: Article
Language:English
Published: MDPI AG 2025-06-01
Series:Fractal and Fractional
Subjects:
Online Access:https://www.mdpi.com/2504-3110/9/7/403
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author Na Li
Mingzhu Tang
Jingwen Deng
Liran Wei
Xinpeng Zhou
author_facet Na Li
Mingzhu Tang
Jingwen Deng
Liran Wei
Xinpeng Zhou
author_sort Na Li
collection DOAJ
description Carbon market price prediction is critical for stabilizing markets and advancing low-carbon transitions, where capturing multifractal dynamics is essential. Traditional models often neglect the inherent long-term memory and nonlinear dependencies of carbon price series. To tackle the issues of nonlinear dynamics, non-stationary characteristics, and inadequate suppression of modal aliasing in existing models, this study proposes an integrated prediction framework based on the coupling of gradient-sensitive time-series adversarial training and dynamic residual correction. A novel gradient significance-driven local adversarial training strategy enhances immunity to volatility through time step-specific perturbations while preserving structural integrity. The GSLAN-BiLSTM architecture dynamically recalibrates historical–current information fusion via memory-guided attention gating, mitigating prediction lag during abrupt price shifts. A “decomposition–prediction–correction” residual compensation system further decomposes base model errors via wavelet packet decomposition (WPD), with ARIMA-driven dynamic weighting enabling bias correction. Empirical validation using China’s carbon market high-frequency data demonstrates superior performance across key metrics. This framework extends beyond advancing carbon price forecasting by successfully generalizing its “multiscale decomposition, adversarial robustness enhancement, and residual dynamic compensation” paradigm to complex financial time-series prediction.
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spelling doaj-art-8d0411274c574ddebee9fb2f2d75549f2025-08-20T03:58:26ZengMDPI AGFractal and Fractional2504-31102025-06-019740310.3390/fractalfract9070403Multifractal Carbon Market Price Forecasting with Memory-Guided Adversarial NetworkNa Li0Mingzhu Tang1Jingwen Deng2Liran Wei3Xinpeng Zhou4School of Economics & Management, Changsha University of Science & Technology, Changsha 410114, ChinaSchool of Energy and Power Engineering, Changsha University of Science & Technology, Changsha 410114, ChinaSchool of Computer Science and Technology, Changsha University of Science & Technology, Changsha 410114, ChinaSchool of Computer Science and Technology, Changsha University of Science & Technology, Changsha 410114, ChinaSchool of Computer Science and Technology, Changsha University of Science & Technology, Changsha 410114, ChinaCarbon market price prediction is critical for stabilizing markets and advancing low-carbon transitions, where capturing multifractal dynamics is essential. Traditional models often neglect the inherent long-term memory and nonlinear dependencies of carbon price series. To tackle the issues of nonlinear dynamics, non-stationary characteristics, and inadequate suppression of modal aliasing in existing models, this study proposes an integrated prediction framework based on the coupling of gradient-sensitive time-series adversarial training and dynamic residual correction. A novel gradient significance-driven local adversarial training strategy enhances immunity to volatility through time step-specific perturbations while preserving structural integrity. The GSLAN-BiLSTM architecture dynamically recalibrates historical–current information fusion via memory-guided attention gating, mitigating prediction lag during abrupt price shifts. A “decomposition–prediction–correction” residual compensation system further decomposes base model errors via wavelet packet decomposition (WPD), with ARIMA-driven dynamic weighting enabling bias correction. Empirical validation using China’s carbon market high-frequency data demonstrates superior performance across key metrics. This framework extends beyond advancing carbon price forecasting by successfully generalizing its “multiscale decomposition, adversarial robustness enhancement, and residual dynamic compensation” paradigm to complex financial time-series prediction.https://www.mdpi.com/2504-3110/9/7/403carbon market price predictionmultifractal analysisadversarial robustnesswavelet packet decompositionmarket efficiency
spellingShingle Na Li
Mingzhu Tang
Jingwen Deng
Liran Wei
Xinpeng Zhou
Multifractal Carbon Market Price Forecasting with Memory-Guided Adversarial Network
Fractal and Fractional
carbon market price prediction
multifractal analysis
adversarial robustness
wavelet packet decomposition
market efficiency
title Multifractal Carbon Market Price Forecasting with Memory-Guided Adversarial Network
title_full Multifractal Carbon Market Price Forecasting with Memory-Guided Adversarial Network
title_fullStr Multifractal Carbon Market Price Forecasting with Memory-Guided Adversarial Network
title_full_unstemmed Multifractal Carbon Market Price Forecasting with Memory-Guided Adversarial Network
title_short Multifractal Carbon Market Price Forecasting with Memory-Guided Adversarial Network
title_sort multifractal carbon market price forecasting with memory guided adversarial network
topic carbon market price prediction
multifractal analysis
adversarial robustness
wavelet packet decomposition
market efficiency
url https://www.mdpi.com/2504-3110/9/7/403
work_keys_str_mv AT nali multifractalcarbonmarketpriceforecastingwithmemoryguidedadversarialnetwork
AT mingzhutang multifractalcarbonmarketpriceforecastingwithmemoryguidedadversarialnetwork
AT jingwendeng multifractalcarbonmarketpriceforecastingwithmemoryguidedadversarialnetwork
AT liranwei multifractalcarbonmarketpriceforecastingwithmemoryguidedadversarialnetwork
AT xinpengzhou multifractalcarbonmarketpriceforecastingwithmemoryguidedadversarialnetwork