A quantum BP neural networks model with learning algorithm is proposed. First, based on the universality of single qubit rotation gate and two-qubit controlled-NOT gate, a quantum neuron model is constructed, which is...A quantum BP neural networks model with learning algorithm is proposed. First, based on the universality of single qubit rotation gate and two-qubit controlled-NOT gate, a quantum neuron model is constructed, which is composed of input, phase rotation, aggregation, reversal rotation and output. In this model, the input is described by qubits, and the output is given by the probability of the state in which （1） is observed. The phase rotation and the reversal rotation are performed by the universal quantum gates. Secondly, the quantum BP neural networks model is constructed, in which the output layer and the hide layer are quantum neurons. With the application of the gradient descent algorithm, a learning algorithm of the model is proposed, and the continuity of the model is proved. It is shown that this model and algorithm are superior to the conventional BP networks in three aspects： convergence speed, convergence rate and robustness, by two application examples of pattern recognition and function approximation.展开更多
The problem of global robust asymptotical stability for a class of Takagi-Sugeno fuzzy neural networks（TSFNN） with discontinuous activation functions and time delays is investigated by using Lyapunov stability theor...The problem of global robust asymptotical stability for a class of Takagi-Sugeno fuzzy neural networks（TSFNN） with discontinuous activation functions and time delays is investigated by using Lyapunov stability theory.Based on linear matrix inequalities（LMIs）,we originally propose robust fuzzy control to guarantee the global robust asymptotical stability of TSFNNs.Compared with the existing literature,this paper removes the assumptions on the neuron activations such as Lipschitz conditions,bounded,monotonic increasing property or the right-limit value is bigger than the left one at the discontinuous point.Thus,the results are more general and wider.Finally,two numerical examples are given to show the effectiveness of the proposed stability results.展开更多
精确高效的多元负荷短期预测对于综合能源系统的运行控制与调度具有重要意义。为了改善负荷预测效果,提出一种量子加权遗忘门与输入门结合的长短期记忆(Quantum weighted coupled input and forget gate long short-term memory,QWCIFGL...精确高效的多元负荷短期预测对于综合能源系统的运行控制与调度具有重要意义。为了改善负荷预测效果,提出一种量子加权遗忘门与输入门结合的长短期记忆(Quantum weighted coupled input and forget gate long short-term memory,QWCIFGLSTM)神经网络模型。在模型结构方面,将长短期记忆(Long short-term memory,LSTM)神经网络中的遗忘门和输入门结合起来,形成遗忘门与输入门结合长短期记忆(Coupled input and forget gate long short-term memory,CIFGLSTM)神经网络,从而减少了网络参数,优化了网络结构;在模型构成方面,采用量子加权神经元替代传统神经元,构建了QWCIFGLSTM神经网络预测模型。量子加权神经元具有较强的数据处理能力和并行计算能力,可以有效提高负荷预测的精度。通过算例仿真验证,所构建的模型相较于基于反向传播(Back propagation,BP)的神经网络预测模型、传统LSTM神经网络预测模型和遗忘门与输入门结合的长短期记忆神经网络预测模型,具有更好的预测效果。展开更多
基金the National Natural Science Foundation of China (50138010)
文摘A quantum BP neural networks model with learning algorithm is proposed. First, based on the universality of single qubit rotation gate and two-qubit controlled-NOT gate, a quantum neuron model is constructed, which is composed of input, phase rotation, aggregation, reversal rotation and output. In this model, the input is described by qubits, and the output is given by the probability of the state in which （1） is observed. The phase rotation and the reversal rotation are performed by the universal quantum gates. Secondly, the quantum BP neural networks model is constructed, in which the output layer and the hide layer are quantum neurons. With the application of the gradient descent algorithm, a learning algorithm of the model is proposed, and the continuity of the model is proved. It is shown that this model and algorithm are superior to the conventional BP networks in three aspects： convergence speed, convergence rate and robustness, by two application examples of pattern recognition and function approximation.
基金supported by the National Natural Science Foundation of China(6077504760835004)+2 种基金the National High Technology Research and Development Program of China(863 Program)(2007AA04Z244 2008AA04Z214)the Graduate Innovation Fundation of Hunan Province(CX2010B132)
文摘The problem of global robust asymptotical stability for a class of Takagi-Sugeno fuzzy neural networks（TSFNN） with discontinuous activation functions and time delays is investigated by using Lyapunov stability theory.Based on linear matrix inequalities（LMIs）,we originally propose robust fuzzy control to guarantee the global robust asymptotical stability of TSFNNs.Compared with the existing literature,this paper removes the assumptions on the neuron activations such as Lipschitz conditions,bounded,monotonic increasing property or the right-limit value is bigger than the left one at the discontinuous point.Thus,the results are more general and wider.Finally,two numerical examples are given to show the effectiveness of the proposed stability results.
文摘精确高效的多元负荷短期预测对于综合能源系统的运行控制与调度具有重要意义。为了改善负荷预测效果,提出一种量子加权遗忘门与输入门结合的长短期记忆(Quantum weighted coupled input and forget gate long short-term memory,QWCIFGLSTM)神经网络模型。在模型结构方面,将长短期记忆(Long short-term memory,LSTM)神经网络中的遗忘门和输入门结合起来,形成遗忘门与输入门结合长短期记忆(Coupled input and forget gate long short-term memory,CIFGLSTM)神经网络,从而减少了网络参数,优化了网络结构;在模型构成方面,采用量子加权神经元替代传统神经元,构建了QWCIFGLSTM神经网络预测模型。量子加权神经元具有较强的数据处理能力和并行计算能力,可以有效提高负荷预测的精度。通过算例仿真验证,所构建的模型相较于基于反向传播(Back propagation,BP)的神经网络预测模型、传统LSTM神经网络预测模型和遗忘门与输入门结合的长短期记忆神经网络预测模型,具有更好的预测效果。
