Function Prototype

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Yi-ming Wei - One of the best experts on this subject based on the ideXlab platform.

  • a novel multiscale nonlinear ensemble leaning paradigm for carbon price forecasting
    Energy Economics, 2018
    Co-Authors: Bangzhu Zhu, Ping Wang, Tao Zhang, Yi-ming Wei
    Abstract:

    In this study, a novel multiscale nonlinear ensemble leaning paradigm incorporating empirical mode decomposition (EMD) and least square support vector machine (LSSVM) with kernel Function Prototype is proposed for carbon price forecasting. The EMD algorithm is used to decompose the carbon price into simple intrinsic mode Functions (IMFs) and one residue, which are identified as the components of high frequency, low frequency and trend by using the Lempel-Ziv complexity algorithm. The Generalized Autoregressive Conditional Heteroskedasticity (GARCH) model is used to forecast the high frequency IMFs with ARCH effects. The LSSVM model with kernel Function Prototype is employed to forecast the high frequency IMFs without ARCH effects, the low frequency and trend components. The forecasting values of all the components are aggregated into the ones of original carbon price by the LSSVM with kernel Function Prototype-based nonlinear ensemble approach. Furthermore, particle swarm optimization is used for model selections of the LSSVM with kernel Function Prototype. Taking the popular prediction methods as benchmarks, the empirical analysis demonstrates that the proposed model can achieve higher level and directional predictions and higher robustness. The findings show that the proposed model seems an advanced approach for predicting the high nonstationary, nonlinear and irregular carbon price.

  • An Adaptive Multiscale Ensemble Learning Paradigm for Nonstationary and Nonlinear Energy Price Time Series Forecasting
    Journal of Forecasting, 2016
    Co-Authors: Bangzhu Zhu, Ping Wang, Xuetao Shi, Julien Chevallier, Yi-ming Wei
    Abstract:

    For forecasting nonstationary and nonlinear energy prices time series, a novel adaptive multiscale ensemble learning paradigm incorporating ensemble empirical mode decomposition (EEMD), particle swarm optimization (PSO) and least square support vector machines (LSSVM) with kernel Function Prototype is developed. Firstly, the extrema symmetry expansion EEMD, which can effectively restrain the mode mixing and end effects, is used to decompose the energy price into simple modes. Secondly, by using the fine-to-coarse reconstruction algorithm, the high-frequency, low-frequency and trend components are identified. Furthermore, autoregressive integrated moving average is applicable to predicting the high-frequency components. LSSVM is suitable for forecasting the low-frequency and trend components. At the same time, a universal kernel Function Prototype is introduced for making up the drawbacks of single kernel Function, which can adaptively select the optimal kernel Function type and model parameters according to the specific data using the PSO algorithm. Finally, the prediction results of all the components are aggregated into the forecasting values of energy price time series. The empirical results show that, compared with the popular prediction methods, the proposed method can significantly improve the prediction accuracy of energy prices, with high accuracy both in the level and directional predictions. Copyright © 2016 John Wiley & Sons, Ltd.

Bangzhu Zhu - One of the best experts on this subject based on the ideXlab platform.

  • a novel multiscale nonlinear ensemble leaning paradigm for carbon price forecasting
    Energy Economics, 2018
    Co-Authors: Bangzhu Zhu, Ping Wang, Tao Zhang, Yi-ming Wei
    Abstract:

    In this study, a novel multiscale nonlinear ensemble leaning paradigm incorporating empirical mode decomposition (EMD) and least square support vector machine (LSSVM) with kernel Function Prototype is proposed for carbon price forecasting. The EMD algorithm is used to decompose the carbon price into simple intrinsic mode Functions (IMFs) and one residue, which are identified as the components of high frequency, low frequency and trend by using the Lempel-Ziv complexity algorithm. The Generalized Autoregressive Conditional Heteroskedasticity (GARCH) model is used to forecast the high frequency IMFs with ARCH effects. The LSSVM model with kernel Function Prototype is employed to forecast the high frequency IMFs without ARCH effects, the low frequency and trend components. The forecasting values of all the components are aggregated into the ones of original carbon price by the LSSVM with kernel Function Prototype-based nonlinear ensemble approach. Furthermore, particle swarm optimization is used for model selections of the LSSVM with kernel Function Prototype. Taking the popular prediction methods as benchmarks, the empirical analysis demonstrates that the proposed model can achieve higher level and directional predictions and higher robustness. The findings show that the proposed model seems an advanced approach for predicting the high nonstationary, nonlinear and irregular carbon price.

  • An Adaptive Multiscale Ensemble Learning Paradigm for Nonstationary and Nonlinear Energy Price Time Series Forecasting
    Journal of Forecasting, 2016
    Co-Authors: Bangzhu Zhu, Ping Wang, Xuetao Shi, Julien Chevallier, Yi-ming Wei
    Abstract:

    For forecasting nonstationary and nonlinear energy prices time series, a novel adaptive multiscale ensemble learning paradigm incorporating ensemble empirical mode decomposition (EEMD), particle swarm optimization (PSO) and least square support vector machines (LSSVM) with kernel Function Prototype is developed. Firstly, the extrema symmetry expansion EEMD, which can effectively restrain the mode mixing and end effects, is used to decompose the energy price into simple modes. Secondly, by using the fine-to-coarse reconstruction algorithm, the high-frequency, low-frequency and trend components are identified. Furthermore, autoregressive integrated moving average is applicable to predicting the high-frequency components. LSSVM is suitable for forecasting the low-frequency and trend components. At the same time, a universal kernel Function Prototype is introduced for making up the drawbacks of single kernel Function, which can adaptively select the optimal kernel Function type and model parameters according to the specific data using the PSO algorithm. Finally, the prediction results of all the components are aggregated into the forecasting values of energy price time series. The empirical results show that, compared with the popular prediction methods, the proposed method can significantly improve the prediction accuracy of energy prices, with high accuracy both in the level and directional predictions. Copyright © 2016 John Wiley & Sons, Ltd.

Ping Wang - One of the best experts on this subject based on the ideXlab platform.

  • a novel multiscale nonlinear ensemble leaning paradigm for carbon price forecasting
    Energy Economics, 2018
    Co-Authors: Bangzhu Zhu, Ping Wang, Tao Zhang, Yi-ming Wei
    Abstract:

    In this study, a novel multiscale nonlinear ensemble leaning paradigm incorporating empirical mode decomposition (EMD) and least square support vector machine (LSSVM) with kernel Function Prototype is proposed for carbon price forecasting. The EMD algorithm is used to decompose the carbon price into simple intrinsic mode Functions (IMFs) and one residue, which are identified as the components of high frequency, low frequency and trend by using the Lempel-Ziv complexity algorithm. The Generalized Autoregressive Conditional Heteroskedasticity (GARCH) model is used to forecast the high frequency IMFs with ARCH effects. The LSSVM model with kernel Function Prototype is employed to forecast the high frequency IMFs without ARCH effects, the low frequency and trend components. The forecasting values of all the components are aggregated into the ones of original carbon price by the LSSVM with kernel Function Prototype-based nonlinear ensemble approach. Furthermore, particle swarm optimization is used for model selections of the LSSVM with kernel Function Prototype. Taking the popular prediction methods as benchmarks, the empirical analysis demonstrates that the proposed model can achieve higher level and directional predictions and higher robustness. The findings show that the proposed model seems an advanced approach for predicting the high nonstationary, nonlinear and irregular carbon price.

  • An Adaptive Multiscale Ensemble Learning Paradigm for Nonstationary and Nonlinear Energy Price Time Series Forecasting
    Journal of Forecasting, 2016
    Co-Authors: Bangzhu Zhu, Ping Wang, Xuetao Shi, Julien Chevallier, Yi-ming Wei
    Abstract:

    For forecasting nonstationary and nonlinear energy prices time series, a novel adaptive multiscale ensemble learning paradigm incorporating ensemble empirical mode decomposition (EEMD), particle swarm optimization (PSO) and least square support vector machines (LSSVM) with kernel Function Prototype is developed. Firstly, the extrema symmetry expansion EEMD, which can effectively restrain the mode mixing and end effects, is used to decompose the energy price into simple modes. Secondly, by using the fine-to-coarse reconstruction algorithm, the high-frequency, low-frequency and trend components are identified. Furthermore, autoregressive integrated moving average is applicable to predicting the high-frequency components. LSSVM is suitable for forecasting the low-frequency and trend components. At the same time, a universal kernel Function Prototype is introduced for making up the drawbacks of single kernel Function, which can adaptively select the optimal kernel Function type and model parameters according to the specific data using the PSO algorithm. Finally, the prediction results of all the components are aggregated into the forecasting values of energy price time series. The empirical results show that, compared with the popular prediction methods, the proposed method can significantly improve the prediction accuracy of energy prices, with high accuracy both in the level and directional predictions. Copyright © 2016 John Wiley & Sons, Ltd.

Tao Zhang - One of the best experts on this subject based on the ideXlab platform.

  • a novel multiscale nonlinear ensemble leaning paradigm for carbon price forecasting
    Energy Economics, 2018
    Co-Authors: Bangzhu Zhu, Ping Wang, Tao Zhang, Yi-ming Wei
    Abstract:

    In this study, a novel multiscale nonlinear ensemble leaning paradigm incorporating empirical mode decomposition (EMD) and least square support vector machine (LSSVM) with kernel Function Prototype is proposed for carbon price forecasting. The EMD algorithm is used to decompose the carbon price into simple intrinsic mode Functions (IMFs) and one residue, which are identified as the components of high frequency, low frequency and trend by using the Lempel-Ziv complexity algorithm. The Generalized Autoregressive Conditional Heteroskedasticity (GARCH) model is used to forecast the high frequency IMFs with ARCH effects. The LSSVM model with kernel Function Prototype is employed to forecast the high frequency IMFs without ARCH effects, the low frequency and trend components. The forecasting values of all the components are aggregated into the ones of original carbon price by the LSSVM with kernel Function Prototype-based nonlinear ensemble approach. Furthermore, particle swarm optimization is used for model selections of the LSSVM with kernel Function Prototype. Taking the popular prediction methods as benchmarks, the empirical analysis demonstrates that the proposed model can achieve higher level and directional predictions and higher robustness. The findings show that the proposed model seems an advanced approach for predicting the high nonstationary, nonlinear and irregular carbon price.

Jungang Yang - One of the best experts on this subject based on the ideXlab platform.

  • Exploring the Reasons Behind the Good Performance of Opposition-Based Learning
    IEEE Access, 2019
    Co-Authors: Na Wang, Feng Zou, Jungang Yang
    Abstract:

    In the face of these diverse forms of opposition existed widely in real-world contexts, as a novel concept in computational intelligence, opposition-based learning (OBL) was originally introduced to accelerate the population-based algorithm. In addition, its superiority has been proved mathematically and experimentally. Two key elements (Function Prototype and algorithm design) that influence the algorithm performance, however, has not yet fully discussed in the past decade. In this paper, two OBL strategies are reexamined in respect of Function Prototype and algorithm design. In the first part of this paper, considering the position relationship between the optimal solution and the center point, some well-known benchmark Functions are divided into three categories. Then, quasi-opposition-based differential evolution (QODE) is investigated by two approaches: solving several benchmark Functions of various Function types and solving the same Functions with a different optimal solution. The numerical experiments reveal that “smart” matching between the benchmark Functions and the QOBL is an important factor to the good performance of QODE. In the second part of this paper, a novel individual-based embedding method is proposed to coincide with the classical definition of opposition-based optimization. Then, two opposition-based differential evolution algorithms are compared to discuss the differences between the two embedding methods. The experimental results confirm that the convergence differences stem from the embedding method chosen in the OBL scheme rather than the utilization rate of opposite points. Furthermore, the impacts caused by various Function types and jumping rate are also discussed.