Carbon trading is a market-based mechanism for reducing greenhouse gas emissions, providing economic incentives for mitigating climate change and promoting the development of a low-carbon economy. However, China’s carbon market is still in its early stages of development, leading to limited data availability for deep neural network modeling. Consequently, accurately predicting price volatility in China’s carbon market is a challenging task. To address this issue, we propose a transfer learning framework based on the hybrid GARCH-GRU model, called CTr2L, to predict carbon price volatility. The CTr2L framework achieves comparable prediction accuracy to ordinary deep learning but with a significant reduction in required training data, and the effectiveness of CTr2L is verified through the ablation study. Furthermore, we propose a metric factor of the transferability of CTr2L, enabling us to verify the effectiveness of CTr2L before actual modeling and provide relevant guidance for time series data selection of source domains. Finally, we present the empirical results based on actual data to demonstrate the superiority of the proposed transfer learning framework in predicting carbon price volatility as well as the effectiveness of the proposed metric factor of the transferability.
| [1] |
Al-Mulali U, Sab C. The impact of energy consumption and CO2 emission on the economic growth and financial development in the Sub-Saharan African countries. Energy, 2012, 39(1): 180-186.
|
| [2] |
Andersen T, Bollerslev T, Diebold F, Ebens H. The distribution of realized stock return volatility. Journal of Financial Economics, 2001, 61(1): 43-76.
|
| [3] |
Bastani H. Predicting with proxies: Transfer learning in high dimension. Management Science, 2021, 67(5): 2964-2984.
|
| [4] |
Bollerslev T. Generalized autoregressive conditional heteroskedasticity. Journal of Econometrics, 1986, 31(3): 307-327.
|
| [5] |
Byun S, Cho H. Forecasting carbon futures volatility using GARCH models with energy volatilities. Energy Economics, 2013, 40: 207-221.
|
| [6] |
Chameides W, Oppenheimer M. Carbon trading over taxes. Science, 2007, 315(5819): 1670.
|
| [7] |
Che Z, Kale D, Li W, Bahadori M, Liu Y. Deep computational phenotyping. Proceedings of the 21th ACM SIGKDD International Conference on Knowledge Discovery and Data Mining, 2015507-516.
|
| [8] |
Chen J, Xiao Z, Bai J, Guo H. Predicting volatility in natural gas under a cloud of uncertainties. Resources Policy, 2023, 82: 103436.
|
| [9] |
Cho K, Van Merriënboer B, Gulcehre C, Bahdanau D, Bougares F, Schwenk H, Bengio Y. Learning phrase representations using RNN Encoder-Decoder for statistical machine translation. Proceedings of the 2014 Conference on Empirical Methods in Natural Language Processing (EMNLP), 20141724-1734.
|
| [10] |
Deng S, Su J, Zhu Y, Yu Y, Xiao C. Forecasting carbon price trends based on an interpretable light gradient boosting machine and Bayesian optimization. Expert Systems with Applications, 2024, 242: 122502.
|
| [11] |
Duan K, Ren X, Shi Y, Mishra T, Yan C. The marginal impacts of energy prices on carbon price variations: Evidence from a quantile-on-quantile approach. Energy Economics, 2021, 95: 105131.
|
| [12] |
Fawaz H, Forestier G, Weber J. Transfer learning for time series classification. Proceedings of 2018 IEEE International Conference on Big Data, 20181367-1376
|
| [13] |
Fawzi A, Samulowitz H, Turaga P, Frossard P. Adaptive data augmentation for image classification. 2016 IEEE International Conference on Image Processing (ICIP), 20163688-3692.
|
| [14] |
Feng C, Yu K, Liu Y, Khan S, Zuo W. Diverse data augmentation with diffusions for effective test-time prompt tuning. Proceedings of the IEEE/CVF International Conference on Computer Vision, 20232704-2714
|
| [15] |
Gan Z, Li C, Henao R, Carlson D, Carin L. Deep temporal sigmoid belief networks for sequence modeling. Advances in Neural Information Processing Systems, 2015, 28: 2458-2466
|
| [16] |
Gu G, Zheng H, Tong L, Dai Y. Does carbon financial market as an environmental regulation policy tool promote regional energy conservation and emission reduction? Empirical evidence from China. Energy Policy, 2022, 163: 112826.
|
| [17] |
Ham Y, Kim J, Luo J. Deep learning for multi-year ENSO forecasts. Nature, 2019, 573(7775): 568-572.
|
| [18] |
Helm J, Alaeddini A, Stauffer J. Reducing hospital readmissions by integrating empirical prediction with resource optimization. Production and Operations Management, 2016, 25(2): 233-257.
|
| [19] |
Hochreiter S, Schmidhuber J. Long short-term memory. Neural Computation, 1997, 9(8): 1735-1780.
|
| [20] |
Hsu A, Wang X, Tan J, Toh W, Goyal N. Predicting European cities’ climate mitigation performance using machine learning. Nature Communications, 2022, 13(1): 7487.
|
| [21] |
Huang Y, Dai X, Wang Q, Zhou D. A hybrid model for carbon price forecasting using GARCH and long short-term memory network. Applied Energy, 2021, 285: 116485.
|
| [22] |
Kakade K, Mishra A, Ghate K, Gupta S. Forecasting commodity market returns volatility: A hybrid ensemble learning GARCH-LSTM based approach. Intelligent Systems in Accounting, Finance and Management, 2022, 29(2): 103-117.
|
| [23] |
Katsiampa P. An empirical investigation of volatility dynamics in the cryptocurrency market. Research in International Business and Finance, 2019, 50: 322-335.
|
| [24] |
Lawrence S, Giles C. Overfitting and neural networks: Conjugate gradient and backpropagation. Proceedings of the IEEE-INNS-ENNS International Joint Conference on Neural Networks (IJCNN), 2000114-119
|
| [25] |
Li J, Liu D. Carbon price forecasting based on secondary decomposition and feature screening. Energy, 2023, 278: 127783.
|
| [26] |
Li H, Lei M, et al.. The influencing factors of China carbon price: A study based on carbon trading market in Hubei province. IOP Conference Series: Earth and Environmental Science, 2018, 121(5): 052073
|
| [27] |
Li X, Liang C, Chen Z, Umar M. Forecasting crude oil volatility with uncertainty indicators: New evidence. Energy Economics, 2022, 108: 105936.
|
| [28] |
Liu J, Wang P, Chen H, Zhu J. A combination forecasting model based on hybrid interval multi-scale decomposition: Application to interval-valued carbon price forecasting. Expert Systems with Applications, 2022, 191: 116267.
|
| [29] |
Mahapatra D, Bozorgtabar B, Shao L. Pathological retinal region segmentation from OCT images using geometric relation-based augmentation. Proceedings of the IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR), 20209611-9620
|
| [30] |
Müller S, Hutter F. TrivialAugment: Tuning-free yet state-of-the-art data augmentation. Proceedings of the IEEE/CVF International Conference on Computer Vision (CVPR), 2021774-782
|
| [31] |
Ozdemir A, Bulus K, Zor K. Medium- to long-term nickel price forecasting using LSTM and GRU networks. Resources Policy, 2022, 78: 102906.
|
| [32] |
Oztekin A, Kizilaslan R, Freund S, Iseri A. A data analytic approach to forecasting daily stock returns in an emerging market. European Journal of Operational Research, 2016, 253(3): 697-710.
|
| [33] |
Ren X, Duan K, Tao L, Shi Y, Yan C. Carbon prices forecasting in quantiles. Energy Economics, 2022, 108: 105862.
|
| [34] |
Robert E. Autoregressive conditional heteroscedasticity with estimates of the variance of United Kingdom inflation. Econometrica, 1982, 50: 987-1007.
|
| [35] |
Shorten C, Khoshgoftaar T. A survey on image data augmentation for deep learning. Journal of Big Data, 2019, 6(1): 1-48.
|
| [36] |
Soh J, Cho N, Cho S. Meta-transfer learning for zero-shot super-resolution. Proceedings of the IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR), 20203516-3525
|
| [37] |
Sui Y, Wu Q, Wu J, Cui Q, Li L, Zhou J, Wang X, He X. Unleashing the power of graph data augmentation on covariate distribution shift. Advances in Neural Information Processing Systems, 2024, 36: 18109-18131
|
| [38] |
Sun L, Xiang M, Shen Q, et al.. A comparative study on the volatility of EU and China’s carbon emission permits trading markets. Physica A, 2020, 560: 125037.
|
| [39] |
Sun Q, Liu Y, Chua T, Schiele B. Meta-transfer learning for few-shot learning. Proceedings of the IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR), 2019403-412
|
| [40] |
Tan C, Sun F, Kong T. A survey on deep transfer learning. International Conference on Artificial Neural Networks (ICANN), 2018270-279
|
| [41] |
Theodoris C, Xiao L, Chopra A, et al.. Transfer learning enables predictions in network biology. Nature, 2023, 618(7965): 616-624.
|
| [42] |
Tian C, Hao Y. Point and interval forecasting for carbon price based on an improved analysis-forecast system. Applied Mathematics and Computation, 2020, 79: 126-144
|
| [43] |
Tiwari A, Sharma G, Rao A, Hossain M, Dev D. Unraveling the crystal ball: Machine learning models for crude oil and natural gas volatility forecasting. Energy Economics, 2024, 134: 107608.
|
| [44] |
Wang N, Guo Z, Shang D, Li K. Carbon trading price forecasting in digitalization social change era using an explainable machine learning approach: The case of China as emerging country evidence. Technological Forecasting and Social Change, 2024, 200: 123178.
|
| [45] |
Wang M, Zhu M, Tian L. A novel framework for carbon price forecasting with uncertainties. Energy Economics, 2022, 112: 106162.
|
| [46] |
Warnat-Herresthal S, Schultze H, Shastry K, et al.. Swarm learning for decentralized and confidential clinical machine learning. Nature, 2021, 594(7862): 265-270.
|
| [47] |
Wen F, Zhao H, Zhao L, Yin H. What drives carbon price dynamics in China?. International Review of Financial Analysis, 2022, 79: 101999.
|
| [48] |
Xiang E, Pan S, Pan W, Jian S, Qiang Y. Source-selection-free transfer learning. Proceedings of the 22nd International Joint Conference on Artificial Intelligence (IJCAI), 20112355
|
| [49] |
Yang K, Lau R, Abbasi A. Getting Personal: A deep learning artifact for text-based measurement of personality. Information Systems Research, 2022, 34(1): 194-222.
|
| [50] |
Yang S, Yu X, Zhou Y. LSTM and GRU neural network performance comparison study: Taking Yelp review dataset as an example. Proceedings of 2020 International Workshop on Electronic Communication and Artificial Intelligence (IWECAI), 202098-101
|
| [51] |
Ye R, Dai Q. A novel transfer learning framework for time series forecasting. Knowledge-Based Systems, 2018, 156: 74-99.
|
| [52] |
Zeng S, Nan X, Liu C, Chen J. The response of the Beijing carbon emissions allowance price (BJC) to macroeconomic and energy price indices. Energy Policy, 2017, 106: 111-121.
|
| [53] |
Zhou F, Huang Z, Zhang C. Carbon price forecasting based on CEEMDAN and LSTM. Applied Energy, 2022, 311: 118601.
|
| [54] |
Zhu B, Han D, Wang P, Wu Z, Zhang T, Wei Y. Forecasting carbon price using empirical mode decomposition and evolutionary least squares support vector regression. Applied Energy, 2017, 191: 521-530.
|
| [55] |
World Bank. State and Trends of Carbon Pricing 2023, 2023. Washington, D.C., World Bank Group.
|
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Systems Engineering Society of China and Springer-Verlag GmbH Germany