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Uniform Attractors for the Kirchhoff Type Suspension Bridge Equation with Nonlinear Damping and Memory Term
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作者 Ling XU Yanni WANG 《Journal of Mathematical Research with Applications》 2026年第1期71-86,共16页
The goal of this paper is to investigate the long-time dynamics of solutions to a Kirchhoff type suspension bridge equation with nonlinear damping and memory term.For this problem we establish the well-posedness and e... The goal of this paper is to investigate the long-time dynamics of solutions to a Kirchhoff type suspension bridge equation with nonlinear damping and memory term.For this problem we establish the well-posedness and existence of uniform attractor under some suitable assumptions on the nonlinear term g(u),the nonlinear damping f(u_(t))and the external force h(x,t).Specifically,the asymptotic compactness of the semigroup is verified by the energy reconstruction method. 展开更多
关键词 uniform attractor Kirchhoff type suspension bridge equation nonlinear damping memory term
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Blow-Up Result for a Semi-Linear Wave Equation with a Nonlinear Memory Term of Derivative Type 被引量:1
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作者 OUYANG Bai-ping XIAO Sheng-zhong 《Chinese Quarterly Journal of Mathematics》 2021年第3期235-243,共9页
In this paper,we study the blow-up of solutions to a semi-linear wave equation with a nonlinear memory term of derivative type.By using methods of an iteration argument and di erential inequalities,we obtain the blow-... In this paper,we study the blow-up of solutions to a semi-linear wave equation with a nonlinear memory term of derivative type.By using methods of an iteration argument and di erential inequalities,we obtain the blow-up result for the semi-linear wave equation when the exponent of p is under certain conditions.Meanwhile,we derive an upper bound of the lifespan of solutions to the Cauchy problem for the semi-linear wave equation. 展开更多
关键词 Semi-linear wave equation BLOW-UP Nonlinear memory term of derivative type Lifespan
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Blow-Up for a Pseudo-Parabolic Equation with Memory and Convection Terms
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作者 LIU Dengming LI Na 《Wuhan University Journal of Natural Sciences》 2025年第6期523-528,共6页
In this article,we deal with the blow-up phenomenon of a pseudo-parabolic equation with memory and convection terms.By constructing some appropriate auxiliary functions and using the modified concavity method,the blow... In this article,we deal with the blow-up phenomenon of a pseudo-parabolic equation with memory and convection terms.By constructing some appropriate auxiliary functions and using the modified concavity method,the blow-up criterion of the weak solution is given. 展开更多
关键词 BLOW-UP pseudo-parabolic equation memory term convection term
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Existence of Solutions for a Parabolic System Modelling Chemotaxis with Memory Term 被引量:1
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作者 WU Shaohua LIU Lei 《Journal of Partial Differential Equations》 CSCD 2020年第2期158-170,共13页
In this paper,we come up with a parabolic system modelling chemotaxis with memory term,and establish the local existence and uniqueness of weak solutions.The main methods we use are the fixed point theorem and semigro... In this paper,we come up with a parabolic system modelling chemotaxis with memory term,and establish the local existence and uniqueness of weak solutions.The main methods we use are the fixed point theorem and semigroup theory. 展开更多
关键词 Parabolic system CHEMOTAXIS memory term fixed point theorem
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Stability in Inverse Problem of Determining Two Parameters for the Moore-Gibson-Thompson Equation with Memory Terms
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作者 FU Songren CHEN Liangbiao ZHANG Ji-Feng 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2024年第6期2368-2389,共22页
In this paper,the authors consider the inverse problem for the Moore-Gibson-Thompson equation with a memory term and variable diffusivity,which introduce a sort of delay in the dynamics,producing nonlocal effects in t... In this paper,the authors consider the inverse problem for the Moore-Gibson-Thompson equation with a memory term and variable diffusivity,which introduce a sort of delay in the dynamics,producing nonlocal effects in time.The H¨older stability of simultaneously determining the spatially varying viscosity coefficient and the source term is obtained by means of the key pointwise Carleman estimate for the Moore-Gibson-Thompson equation.For the sake of generality in mathematical tools,the analysis of this paper is discussed within the framework of Riemannian geometry. 展开更多
关键词 Carleman estimate memory term Moore-Gibson-Thompson equation STABILITY Riemannian geometry
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Finite-Time Blow-Up and Local Existence for Chemotaxis System with a General Memory Term
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作者 WU Yingdong WU Shaohua +1 位作者 CHENG Xin LIU Lei 《Journal of Partial Differential Equations》 CSCD 2021年第1期67-82,共16页
In this paper,we discuss the local existence of weak solutions for a parabolic system modelling chemotaxis with memory term,and we show the finite-time blowup and chemotactic collapse for this system.The main methods ... In this paper,we discuss the local existence of weak solutions for a parabolic system modelling chemotaxis with memory term,and we show the finite-time blowup and chemotactic collapse for this system.The main methods we used are the fixed point theorem and the semigroup theory. 展开更多
关键词 parabolic system CHEMOTAXIS memory term fixed point theorem BLOW-UP
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On Existence of Local Solutions for a Hyperbolic System Modelling Chemotaxis with Memory Term
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作者 WU Shaohua WANG Pengfei 《Journal of Partial Differential Equations》 CSCD 2021年第2期170-185,共16页
In this paper,we discuss the-local existence of weak solutions for some hyperbolic parabolic systems modelling chemotaxis with memory term.The main methods we use are the fixed point theorem and semigroup theory.
关键词 Hyperbolic-parabolic system KS model CHEMOTAXIS memory term
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GLOBAL CONVERGENCE RESULTS OF A THREE TERM MEMORY GRADIENT METHOD WITH A NON-MONOTONE LINE SEARCH TECHNIQUE 被引量:12
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作者 孙清滢 《Acta Mathematica Scientia》 SCIE CSCD 2005年第1期170-178,共9页
In this paper, a new class of three term memory gradient method with non-monotone line search technique for unconstrained optimization is presented. Global convergence properties of the new methods are discussed. Comb... In this paper, a new class of three term memory gradient method with non-monotone line search technique for unconstrained optimization is presented. Global convergence properties of the new methods are discussed. Combining the quasi-Newton method with the new method, the former is modified to have global convergence property. Numerical results show that the new algorithm is efficient. 展开更多
关键词 Non-linear programming three term memory gradient method convergence non-monotone line search technique numerical experiment
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Online multi-target intelligent tracking using a deep long-short term memory network 被引量:3
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作者 Yongquan ZHANG Zhenyun SHI +1 位作者 Hongbing JI Zhenzhen SU 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 2023年第9期313-329,共17页
Multi-target tracking is facing the difficulties of modeling uncertain motion and observation noise.Traditional tracking algorithms are limited by specific models and priors that may mismatch a real-world scenario.In ... Multi-target tracking is facing the difficulties of modeling uncertain motion and observation noise.Traditional tracking algorithms are limited by specific models and priors that may mismatch a real-world scenario.In this paper,considering the model-free purpose,we present an online Multi-Target Intelligent Tracking(MTIT)algorithm based on a Deep Long-Short Term Memory(DLSTM)network for complex tracking requirements,named the MTIT-DLSTM algorithm.Firstly,to distinguish trajectories and concatenate the tracking task in a time sequence,we define a target tuple set that is the labeled Random Finite Set(RFS).Then,prediction and update blocks based on the DLSTM network are constructed to predict and estimate the state of targets,respectively.Further,the prediction block can learn the movement trend from the historical state sequence,while the update block can capture the noise characteristic from the historical measurement sequence.Finally,a data association scheme based on Hungarian algorithm and the heuristic track management strategy are employed to assign measurements to targets and adapt births and deaths.Experimental results manifest that,compared with the existing tracking algorithms,our proposed MTIT-DLSTM algorithm can improve effectively the accuracy and robustness in estimating the state of targets appearing at random positions,and be applied to linear and nonlinear multi-target tracking scenarios. 展开更多
关键词 Data association Deep long-short term memory network Historical sequence Multi-target tracking Target tuple set Track management
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Conditional Random Field Tracking Model Based on a Visual Long Short Term Memory Network 被引量:3
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作者 Pei-Xin Liu Zhao-Sheng Zhu +1 位作者 Xiao-Feng Ye Xiao-Feng Li 《Journal of Electronic Science and Technology》 CAS CSCD 2020年第4期308-319,共12页
In dense pedestrian tracking,frequent object occlusions and close distances between objects cause difficulty when accurately estimating object trajectories.In this study,a conditional random field tracking model is es... In dense pedestrian tracking,frequent object occlusions and close distances between objects cause difficulty when accurately estimating object trajectories.In this study,a conditional random field tracking model is established by using a visual long short term memory network in the three-dimensional(3D)space and the motion estimations jointly performed on object trajectory segments.Object visual field information is added to the long short term memory network to improve the accuracy of the motion related object pair selection and motion estimation.To address the uncertainty of the length and interval of trajectory segments,a multimode long short term memory network is proposed for the object motion estimation.The tracking performance is evaluated using the PETS2009 dataset.The experimental results show that the proposed method achieves better performance than the tracking methods based on the independent motion estimation. 展开更多
关键词 Conditional random field(CRF) long short term memory network(LSTM) motion estimation multiple object tracking(MOT)
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Estimation of unloading relaxation depth of Baihetan Arch Dam foundation using long-short term memory network 被引量:1
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作者 Ming-jie He Hao Li +3 位作者 Jian-rong Xu Huan-ling Wang Wei-ya Xu Shi-zhuang Chen 《Water Science and Engineering》 EI CAS CSCD 2021年第2期149-158,共10页
The unloading relaxation caused by excavation for construction of high arch dams is an important factor influencing the foundation’s integrity and strength.To evaluate the degree of unloading relaxation,the long-shor... The unloading relaxation caused by excavation for construction of high arch dams is an important factor influencing the foundation’s integrity and strength.To evaluate the degree of unloading relaxation,the long-short term memory(LSTM)network was used to estimate the depth of unloading relaxation zones on the left bank foundation of the Baihetan Arch Dam.Principal component analysis indicates that rock charac-teristics,the structural plane,the protection layer,lithology,and time are the main factors.The LSTM network results demonstrate the unloading relaxation characteristics of the left bank,and the relationships with the factors were also analyzed.The structural plane has the most significant influence on the distribution of unloading relaxation zones.Compared with massive basalt,the columnar jointed basalt experiences a more significant unloading relaxation phenomenon with a clear time effect,with the average unloading relaxation period being 50 d.The protection layer can effectively reduce the unloading relaxation depth by approximately 20%. 展开更多
关键词 Columnar jointed basalt Unloading relaxation Long-short term memory(LSTM)network Principal component analysis Stability assessment Baihetan Arch Dam
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Predicting and Curing Depression Using Long Short Term Memory and Global Vector
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作者 Ayan Kumar Abdul Quadir Md +1 位作者 J.Christy Jackson Celestine Iwendi 《Computers, Materials & Continua》 SCIE EI 2023年第3期5837-5852,共16页
In today’s world, there are many people suffering from mentalhealth problems such as depression and anxiety. If these conditions are notidentified and treated early, they can get worse quickly and have far-reachingne... In today’s world, there are many people suffering from mentalhealth problems such as depression and anxiety. If these conditions are notidentified and treated early, they can get worse quickly and have far-reachingnegative effects. Unfortunately, many people suffering from these conditions,especially depression and hypertension, are unaware of their existence until theconditions become chronic. Thus, this paper proposes a novel approach usingBi-directional Long Short-Term Memory (Bi-LSTM) algorithm and GlobalVector (GloVe) algorithm for the prediction and treatment of these conditions.Smartwatches and fitness bands can be equipped with these algorithms whichcan share data with a variety of IoT devices and smart systems to betterunderstand and analyze the user’s condition. We compared the accuracy andloss of the training dataset and the validation dataset of the two modelsnamely, Bi-LSTM without a global vector layer and with a global vector layer.It was observed that the model of Bi-LSTM without a global vector layer hadan accuracy of 83%,while Bi-LSTMwith a global vector layer had an accuracyof 86% with a precision of 86.4%, and an F1 score of 0.861. In addition toproviding basic therapies for the treatment of identified cases, our model alsohelps prevent the deterioration of associated conditions, making our methoda real-world solution. 展开更多
关键词 Emotion dynamics DEPRESSION heart rate internet of things global vector long short term memory machine learning sentiment analysis
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ART-2 neural network based on eternal term memory vector:Architecture and algorithm
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作者 赵学智 叶邦彦 《Journal of Harbin Institute of Technology(New Series)》 EI CAS 2009年第6期843-848,共6页
Aimed at the problem that the traditional ART-2 neural network can not recognize a gradually changing course, an eternal term memory (ETM) vector is introduced into ART-2 to simulate the function of human brain, i.e. ... Aimed at the problem that the traditional ART-2 neural network can not recognize a gradually changing course, an eternal term memory (ETM) vector is introduced into ART-2 to simulate the function of human brain, i.e. the deep remembrance for the initial impression.. The eternal term memory vector is determined only by the initial vector that establishes category neuron node and is used to keep the remembrance for this vector for ever. Two times of vigilance algorithm are put forward, and the posterior input vector must first pass the first vigilance of this eternal term memory vector, only succeeded has it the qualification to begin the second vigilance of long term memory vector. The long term memory vector can be revised only when both of the vigilances are passed. Results of recognition examples show that the improved ART-2 overcomes the defect of traditional ART-2 and can recognize a gradually changing course effectively. 展开更多
关键词 ART-2 neural network eternal term memory vector two times of vigilance gradually changing course pattern recognition
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Prediction of Attention and Short-Term Memory Loss by EEG Workload Estimation
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作者 Md. Ariful Islam Ajay Krishno Sarkar +2 位作者 Md. Imran Hossain Md. Tofail Ahmed A. H. M. Iftekharul Ferdous 《Journal of Biosciences and Medicines》 2023年第4期304-318,共15页
Mental workload plays a vital role in cognitive impairment. The impairment refers to a person’s difficulty in remembering, receiving new information, learning new things, concentrating, or making decisions that serio... Mental workload plays a vital role in cognitive impairment. The impairment refers to a person’s difficulty in remembering, receiving new information, learning new things, concentrating, or making decisions that seriously affect everyday life. In this paper, the simultaneous capacity (SIMKAP) experiment-based EEG workload analysis was presented using 45 subjects for multitasking mental workload estimation with subject wise attention loss calculation as well as short term memory loss measurement. Using an open access preprocessed EEG dataset, Discrete wavelet transforms (DWT) was utilized for feature extraction and Minimum redundancy and maximum relevancy (MRMR) technique was used to select most relevance features. Wavelet decomposition technique was also used for decomposing EEG signals into five sub bands. Fourteen statistical features were calculated from each sub band signal to form a 5 × 14 window size. The Neural Network (Narrow) classification algorithm was used to classify dataset for low and high workload conditions and comparison was made using some other machine learning models. The results show the classifier’s accuracy of 86.7%, precision of 84.4%, F1 score of 86.33%, and recall of 88.37% that crosses the state-of-the art methodologies in the literature. This prediction is expected to greatly facilitate the improved way in memory and attention loss impairments assessment. 展开更多
关键词 Attention Loss Cognitive Impairment EEG Feature Selection SIMKAP Short term memory Loss Machine Learning WORKLOAD
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Global Attractor for Damped Wave Equations with Nonlinear Memory 被引量:2
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作者 Yinghao HAN Zhen'guo YU Zhengguo JIN 《Journal of Mathematical Research with Applications》 CSCD 2012年第2期213-222,共10页
Let Ω R^n be a bounded domain with a smooth boundary. We consider the longtime dynamics of a class of damped wave equations with a nonlinear memory term Based on a time-uniform priori estimate method, the existence ... Let Ω R^n be a bounded domain with a smooth boundary. We consider the longtime dynamics of a class of damped wave equations with a nonlinear memory term Based on a time-uniform priori estimate method, the existence of the compact global attractor is proved for this model in the phase space H^(^) x L2(~). 展开更多
关键词 global attractor nonlinear memory term damped wave equation.
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GENERAL DECAY OF A TRANSMISSION PROBLEM FOR KIRCHHOFF TYPE WAVE EQUATIONS WITH BOUNDARY MEMORY CONDITION
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作者 Sun Hye PARK 《Acta Mathematica Scientia》 SCIE CSCD 2014年第5期1395-1403,共9页
In this paper, we investigate the influence of boundary dissipation on the de-cay property of solutions for a transmission problem of Kirchhoff type wave equation with boundary memory condition. By introducing suitabl... In this paper, we investigate the influence of boundary dissipation on the de-cay property of solutions for a transmission problem of Kirchhoff type wave equation with boundary memory condition. By introducing suitable energy and Lyapunov functionals, we establish a general decay estimate for the energy, which depends on the behavior of relaxation function. 展开更多
关键词 transmission problem Kirchhoff type general decay memory term relaxationfunction
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GENERAL DECAY FOR A DIFFERENTIAL INCLUSION OF KIRCHHOFF TYPE WITH A MEMORY CONDITION AT THE BOUNDARY
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作者 Jum-Ran KANG 《Acta Mathematica Scientia》 SCIE CSCD 2014年第3期729-738,共10页
In this article, we consider a differential inclusion of Kirchhoff type with a memory condition at the boundary. We prove the asymptotic behavior of the corresponding solutions. For a wider class of relaxation functio... In this article, we consider a differential inclusion of Kirchhoff type with a memory condition at the boundary. We prove the asymptotic behavior of the corresponding solutions. For a wider class of relaxation functions, we establish a more general decay result, from which the usual exponential and polynomial decay rates are only special cases. 展开更多
关键词 General decay differential inclusion boundary value problem memory term relaxation function
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A Firefly Algorithm-Optimized CNN-BiLSTM Model for Automated Detection of Bone Cancer and Marrow Cell Abnormalities
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作者 Ishaani Priyadarshini 《Computers, Materials & Continua》 2026年第3期1510-1535,共26页
Early and accurate detection of bone cancer and marrow cell abnormalities is critical for timely intervention and improved patient outcomes.This paper proposes a novel hybrid deep learning framework that integrates a ... Early and accurate detection of bone cancer and marrow cell abnormalities is critical for timely intervention and improved patient outcomes.This paper proposes a novel hybrid deep learning framework that integrates a Convolutional Neural Network(CNN)with a Bidirectional Long Short-Term Memory(BiLSTM)architecture,optimized using the Firefly Optimization algorithm(FO).The proposed CNN-BiLSTM-FO model is tailored for structured biomedical data,capturing both local patterns and sequential dependencies in diagnostic features,while the Firefly Algorithm fine-tunes key hyperparameters to maximize predictive performance.The approach is evaluated on two benchmark biomedical datasets:one comprising diagnostic data for bone cancer detection and another for identifying marrow cell abnormalities.Experimental results demonstrate that the proposed method outperforms standard deep learning models,including CNN,LSTM,BiLSTM,and CNN-LSTM hybrids,significantly.The CNNBiLSTM-FO model achieves an accuracy of 98.55%for bone cancer detection and 96.04%for marrow abnormality classification.The paper also presents a detailed complexity analysis of the proposed algorithm and compares its performance across multiple evaluation metrics such as precision,recall,F1-score,and AUC.The results confirm the effectiveness of the firefly-based optimization strategy in improving classification accuracy and model robustness.This work introduces a scalable and accurate diagnostic solution that holds strong potential for integration into intelligent clinical decision-support systems. 展开更多
关键词 Firefly optimization algorithm(FO) marrow cell abnormalities bidirectional long short term memory(Bi-LSTM) temporal dependency modeling
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Dynamics of Plate Equations with Memory Driven by Multiplicative Noise on Bounded Domains
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作者 Mohamed Y. A. Bakhet Abdelmajid Ali Dafallah +5 位作者 Jing Wang Qiaozhen Ma Fadlallah Mustafa Mosa Ahmed Eshag Mohamed Paride O. Lolika Makur Mukuac Chinor 《Journal of Applied Mathematics and Physics》 2024年第4期1492-1521,共30页
This article examines the dynamics for stochastic plate equations with linear memory in the case of bounded domain. We investigate the existence of solutions and bounded absorbing set by using the uniform pullback att... This article examines the dynamics for stochastic plate equations with linear memory in the case of bounded domain. We investigate the existence of solutions and bounded absorbing set by using the uniform pullback attractors on the tails estimates, and the asymptotic compactness of the random dynamical system is proved by decomposition method, and then we obtain the existence of a random attractor. 展开更多
关键词 Plate Equations Random Attractors memory term Dynamical Systems
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Wind Speed Short-Term Prediction Based on Empirical Wavelet Transform, Recurrent Neural Network and Error Correction 被引量:1
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作者 朱昶胜 朱丽娜 《Journal of Shanghai Jiaotong university(Science)》 EI 2024年第2期297-308,共12页
Predicting wind speed accurately is essential to ensure the stability of the wind power system and improve the utilization rate of wind energy.However,owing to the stochastic and intermittent of wind speed,predicting ... Predicting wind speed accurately is essential to ensure the stability of the wind power system and improve the utilization rate of wind energy.However,owing to the stochastic and intermittent of wind speed,predicting wind speed accurately is difficult.A new hybrid deep learning model based on empirical wavelet transform,recurrent neural network and error correction for short-term wind speed prediction is proposed in this paper.The empirical wavelet transformation is applied to decompose the original wind speed series.The long short term memory network and the Elman neural network are adopted to predict low-frequency and high-frequency wind speed sub-layers respectively to balance the calculation efficiency and prediction accuracy.The error correction strategy based on deep long short term memory network is developed to modify the prediction errors.Four actual wind speed series are utilized to verify the effectiveness of the proposed model.The empirical results indicate that the method proposed in this paper has satisfactory performance in wind speed prediction. 展开更多
关键词 wind speed prediction empirical wavelet transform deep long short term memory network Elman neural network error correction strategy
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