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1. Noise Resistance of Next Generation Reservoir Computing: A Comparative Study with High-Order Correlation Computation | |||
LIU Sheng-Yu,XIAO Jing-Hua,YAN Zi-Xiang,GAO Jian | |||
Physics 01 April 2023 | |||
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Abstract:Reservoir computing (RC) methods have received more and more attention and applications in chaotic time series prediction with their simple structure and training method. Recently, the next generation reservoir computing (NG-RC) method (Nature Communications,12,5564) has been proposed with less training cost and better time-series predictions. Nevertheless, in practice, available data on dynamic systems are contaminated with noise. Though NG-RC is shown highly efficient in learning and predicting, its noise resistance captivity is not clear yet, limiting its use in practical problems. In this paper, we study the noise resistance of the NG-RC method, taking the well-known denoising method, the high-order correlation computation (HOCC) method, as a reference. Both methods have similar procedures in respect of function bases and regression processes. With the simple ridge regression method, the NG-RC method has a strong noise resistance for white noise, even better than the HOCC method. Besides, the NG-RC method also shows a good prediction ability for small color noise, while it does not provide correct reconstruct dynamics. In this paper, other than reconstruction parameters, four numerical indicators are used to check the noise resistance comprehensively, such as the training error, prediction error, prediction time, and auto-correlation prediction error, for both the short-time series and long climate predictions. Our results provide a systematic estimation of NG-RC's noise resistance capacity, which is helpful for its applications in practical problems. | |||
TO cite this article:LIU Sheng-Yu,XIAO Jing-Hua,YAN Zi-Xiang, et al. Noise Resistance of Next Generation Reservoir Computing: A Comparative Study with High-Order Correlation Computation[OL].[ 1 April 2023] http://en.paper.edu.cn/en_releasepaper/content/4759954 |
2. Dynamical Analysis of Reservoir Computing: From Single to Few Nodes | |||
LAN Xiu-Wen, CHEN Wei, GAO Jian, YAN Zi-Xiang, XIAO Jing-Hua, XIAO Jing-Hua | |||
Physics 18 March 2023 | |||
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Abstract:Reservoir computing (RC) has been widely used for learning and predicting dynamical behaviors. However, the success and power of RC lack systematic research and explanation. RC's learning process is analyzed as a nonlinear dynamic procedure to study the influence of parameters on the RC learning effect. The simplest RCs, from single to few nodes, are considered for learning various states of logistic maps. Even the simple single-node RC shows rich dynamical features in the learning process. The relationship between input training states and output predicted states is quite complicated. The phase diagram of the correspondence between input and output states is analyzed through the nonlinear stability analysis. Specifically, the appropriate parameters for learning and predicting the correct states are obtained analytically, and consistent well with numerical simulations. With the increased RC size, the region of appropriate parameters for correct states increases rapidly. For logistic maps and randomly selected RC, 30 nodes are sufficient to ensure a 90 percent success rate for predicting the correct states. The dynamical analysis of reservoir computing provides the basis for its success in learning and predicting various dynamical behaviors. | |||
TO cite this article:LAN Xiu-Wen, CHEN Wei, GAO Jian, et al. Dynamical Analysis of Reservoir Computing: From Single to Few Nodes[OL].[18 March 2023] http://en.paper.edu.cn/en_releasepaper/content/4759779 |
3. From heterogeneous network to homogeneous network: the influence of structure on synergistic epidemic spreading | |||
LIN Chang, YAN Zi-Xiang, GAO Jian, XIAO Jing-Hua, XIAO Jing-Hua | |||
Physics 18 March 2023 | |||
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Abstract:Synergistic epidemic-like spreading phenomena in networked system occur in various forms in nature and human society. The networks’ structure characterized by its structural heterogeneity affects the synergistic spreading process dramatically. It was believed that the synergistic epidemic spreading follows a continuous transition on heterogeneous networks, but an explosive one on homogeneous networks. In this work, we adopt the model that interpolates between homogeneous and heterogeneous networks to generate a series of studied networks. By continuously changing the ratio of homogeneous structure α of the network, we numerically show that the interplay between the spreading transition and the structural heterogeneity of network is much more complicated. Although the explosive epidemic transition is likely to be hindered by structural heterogeneity, it could occur on completely heterogeneous network as long as the synergistic strength is sufficiently strong. The predictions of heterogeneous mean-field analysis agree with the numerical results, thus helping to understand the role of structural heterogeneity in affecting synergistic epidemic spreading. | |||
TO cite this article:LIN Chang, YAN Zi-Xiang, GAO Jian, et al. From heterogeneous network to homogeneous network: the influence of structure on synergistic epidemic spreading[OL].[18 March 2023] http://en.paper.edu.cn/en_releasepaper/content/4759760 |
4. Traffic fluctuation of random walks on weighted networks | |||
Ling Xiang,Jing Xingli,Hu Maobin,Shi Qin | |||
Physics 12 May 2016 | |||
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Abstract:In real worlds, many systems can be better represented as weightednetworks. However, most studies of traffic fluctuations focus onbinary network. This paper studies the traffic fluctuation onweighted networks. Exact expressions for the traffic fluctuation$sigma_i$ as a function of $langle f_i angle$ on node $i$ onBarrat-Barth'elemy-Vespignani (BBV) weighted networks arederived. The effects of four different factors on trafficfluctuations are studied by extensive simulations: (i)the lengthof time window $M$; (ii) the network parameter $m$ of the BBVmodel; (iii) the weight parameter $delta$ of the BBV network; and(iv) the degree of node $k_i$. The results can help to understandthe influences of weight on the behavior of network traffic. | |||
TO cite this article:Ling Xiang,Jing Xingli,Hu Maobin, et al. Traffic fluctuation of random walks on weighted networks[OL].[12 May 2016] http://en.paper.edu.cn/en_releasepaper/content/4688282 |
5. Cluster synchronization in fractional-order complex dynamical networks | |||
CHEN Liping,CHAI Yi,WU Ranchao,SUN Jian | |||
Physics 12 January 2012 | |||
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Abstract:Cluster synchronization of complex dynamical networks with fractional-order dynamical nodes is discussed in the paper. By using the stability theory of fractional-order differential system and linear pinning control, a sufficient condition for the stability of the synchronization behavior in complex networks with fractional order dynamics is derived. Only the nodes in one community which have direct connections to the nodes in other communities are needed to be controlled, resulting in reduced control cost. A numerical example is presented to demonstrate the validity and feasibility of the obtained result. Numerical simulations illustrate that cluster synchronization performance for fractional-order complex dynamical networks is influenced by inner-coupling matrix, control gain, coupling strength and topological structures of the networks. | |||
TO cite this article:CHEN Liping,CHAI Yi,WU Ranchao, et al. Cluster synchronization in fractional-order complex dynamical networks[OL].[12 January 2012] http://en.paper.edu.cn/en_releasepaper/content/4461562 |
6. Infrared fast-response thermoelectric effect in sapphire single crystal | |||
hui zhao,kun zhao,Zhiqing Lü,hao liu,na zhou,song-qing zhao | |||
Physics 25 May 2009 | |||
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Abstract:Fast-response photoelectric effect has been observed in the as-supplied sapphire single crystals without any bias at ambient temperature under irradiation of a 1064 nm pulsed laser of 25 ps in duration. The rise time and full width at half maximum are about 0.8 ns and 0.42 ns for 0o tilting sample, 0.8 ns and 0.64 ns for 10o tilting sample. The peak values increased nearly linearly with the on-sample energy density. The possible mechanism can be described as the combination of the laser-induced hot carrier photovoltaic effect and Seebeck effect. | |||
TO cite this article:hui zhao,kun zhao,Zhiqing Lü, et al. Infrared fast-response thermoelectric effect in sapphire single crystal[OL].[25 May 2009] http://en.paper.edu.cn/en_releasepaper/content/32505 |
7. Mechanism of the particle interference | |||
Chen Guangye | |||
Physics 26 February 2009 | |||
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Abstract:Interference produced by particles such as photons or electrons has been explained usually with wave description, because an attribute of spatially continuous distribution of wave is believed indispensable for the phenomenon. But the wave description is unusable to deliver any mechanism of the interaction between the incident particles and the electrons in the detector, whereas the interference phenomenon is definitely a display of this interaction. More seriously, the wave description makes the essence of microscopic particle unintelligible. Nevertheless, with the assumption that particles conjectured as material points possess spiral trajectory, it was proven that they are able to interfere not via wave description[1]. Here, we explore farther the mechanism of the interference and the multiple photon absorption in photo-electric effect, and present proposals for experimental verification. | |||
TO cite this article:Chen Guangye. Mechanism of the particle interference[OL].[26 February 2009] http://en.paper.edu.cn/en_releasepaper/content/29718 |
8. Entanglement distillation and concentration by one-dimensional anisotropic photonic crystal | |||
Yunxia Dong,Xiangdong Zhang | |||
Physics 11 February 2009 | |||
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Abstract:An efficient method to perform procrustean distillation and concentration for quantum entanglement has been proposed by using one-dimensional anisotropic photonic crystal (PC). The Clauser-Horne-Shimony-Holt parameter for entangled pure state, the quantum relative entropy and linear entropy for mixed state have been calculated theoretically. It is found that the efficiency of such a method is not only much higher for the distillation of non-maximally entangled pure states than those using partial polarizers, it is also good at the concentration for the mixed states. Both the purity and the degree of entanglement of the mixed states can be improved simultaneously several times by using such a method. Another advantage of the scheme is that it can be widely adjusted by a proper choice of the structural parameters of the PC and the external field. A realizable example by using liquid crystals has also been designed and discussed. | |||
TO cite this article:Yunxia Dong,Xiangdong Zhang. Entanglement distillation and concentration by one-dimensional anisotropic photonic crystal[OL].[11 February 2009] http://en.paper.edu.cn/en_releasepaper/content/28797 |
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