2018
DOI: 10.1155/2018/3713410
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A Hybrid Model for Forecasting Sunspots Time Series Based on Variational Mode Decomposition and Backpropagation Neural Network Improved by Firefly Algorithm

Abstract: The change of the number of sunspots has a great impact on the Earth's climate, agriculture, communications, natural disasters, and other aspects, so it is very important to predict the number of sunspots. Aiming at the chaotic characteristics of monthly mean of sunspots, a novel hybrid model for forecasting sunspots time-series based on variational mode decomposition (VMD) and backpropagation (BP) neural network improved by firefly algorithm (FA) is proposed. Firstly, a set of intrinsic mode functions (IMFs) … Show more

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Cited by 20 publications
(6 citation statements)
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References 20 publications
(23 reference statements)
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“…So, the probability [ 22 , 24 ] is the probability of passing 1st order from state i to state j by the ( n + 1)-th step. These probabilities do not depend on the time step n (stationary), i.e., [ 29 , 30 ] so we have homogeneous chains { Xn }.…”
Section: Methodsmentioning
confidence: 99%
“…So, the probability [ 22 , 24 ] is the probability of passing 1st order from state i to state j by the ( n + 1)-th step. These probabilities do not depend on the time step n (stationary), i.e., [ 29 , 30 ] so we have homogeneous chains { Xn }.…”
Section: Methodsmentioning
confidence: 99%
“…In this paper, the prediction results of LSSVM and Volterra model are combined by IOWA operator, and each single prediction method is weighted by the order of fitting precision of each time point in the sample interval, and a new combined prediction method is established based on the sum of error squares. According to Equation (27), the IOWA combined prediction model is as follows: (35) The above formula is solved by Matlab optimization toolbox to get 1 2 1, 0 w w   , and the prediction value of the hybrid prediction model can be obtained by substituting the weight into Equation (26). The prediction results of each point obtained by combining the LSSVM model and Volterra model with IOWA operator is shown in Fig.…”
Section: Experiments I: the Analysis Of Site 1 Precipitation Predicmentioning
confidence: 99%
“…Wu et al [34] combined VMD with prediction method to forecast AQI . Li et al [35] proposed a forecasting model of sunspot number based on the combination of VMD and BP neural network. At present, most scholars use the combination of the mode decomposition and the single forecasting model to predict the rainfall data.…”
Section: Introductionmentioning
confidence: 99%
“…Under the constraint that the sum of each IMF component is equal to the input signal x(t), the variational model of signal decomposition is constructed with the goal of minimizing the sum of estimated bandwidth of each IMF. e process of establishing the variational model is as follows [40]:…”
Section: Variational Mode Decompositionmentioning
confidence: 99%