The Sloane Digital Sky Survey (SDSS) has been in the process of creating a 3D digital map of the Universe, since 2000AD. However, it has not been able to map that portion of the sky which is occluded by the dust gas a...The Sloane Digital Sky Survey (SDSS) has been in the process of creating a 3D digital map of the Universe, since 2000AD. However, it has not been able to map that portion of the sky which is occluded by the dust gas and stars of our own Milkyway Galaxy. This research builds on work from a previous paper that sought to impute this missing galactic information using Inpainting, polar transforms and Linear Regression ANNs. In that paper, the author only attempted to impute the data in the Northern hemisphere using the ANN model, which subsequently confirmed the existence of the Great Attractor and the homogeneity of the Universe. In this paper, the author has imputed the Southern Hemisphere and discovered a region that is mostly devoid of stars. Since this area appears to be the counterpart to the Great Attractor, the author refers to it as the Great Repeller and postulates that it is an area of physical repulsion, inline with the work of GerdPommerenke and others. Finally, the paper investigates large scale structures in the imputed galaxies.展开更多
The dynamic behavior of discrete-time cellular neural networks(DTCNN), which is strict with zero threshold value, is mainly studied in asynchronous mode and in synchronous mode. In general, a k-attractor of DTCNN is n...The dynamic behavior of discrete-time cellular neural networks(DTCNN), which is strict with zero threshold value, is mainly studied in asynchronous mode and in synchronous mode. In general, a k-attractor of DTCNN is not a convergent point. But in this paper, it is proved that a k-attractor is a convergent point if the strict DTCNN satisfies some conditions. The attraction basin of the strict DTCNN is studied, one example is given to illustrate the previous conclusions to be wrong, and several results are presented. The obtained results on k-attractor and attraction basin not only correct the previous results, but also provide a theoretical foundation of performance analysis and new applications of the DTCNN.展开更多
Hopfield neural networks on scale-free networks display the power law relation between the stability of patterns and the number of patterns.The stability is measured by the overlap between the output state and the sto...Hopfield neural networks on scale-free networks display the power law relation between the stability of patterns and the number of patterns.The stability is measured by the overlap between the output state and the stored pattern which is presented to a neural network.In simulations the overlap declines to a constant by a power law decay.Here we provide the explanation for the power law behavior through the signal-to-noise ratio analysis.We show that on sparse networks storing a plenty of patterns the stability of stored patterns can be approached by a power law function with the exponent-0.5.There is a difference between analytic and simulation results that the analytic results of overlap decay to 0.The difference exists because the signal and noise term of nodes diverge from the mean-field approach in the sparse finite size networks.展开更多
近年来,医疗数据泄露频发,严重威胁患者隐私与健康安全,亟需有效的解决方案以保护医疗数据在传输过程中的隐私与安全性。该文提出了一种基于双忆阻类脑混沌神经网络的医疗物联网(Internet of Medical Things,IoMT)数据隐私保护方法,以...近年来,医疗数据泄露频发,严重威胁患者隐私与健康安全,亟需有效的解决方案以保护医疗数据在传输过程中的隐私与安全性。该文提出了一种基于双忆阻类脑混沌神经网络的医疗物联网(Internet of Medical Things,IoMT)数据隐私保护方法,以应对这一挑战。首先,利用忆阻器的突触仿生特性,构建了一种基于Hopfield神经网络的双忆阻类脑混沌神经网络模型,并通过分岔图、Lyapunov指数谱、相图、时域图及吸引盆等非线性动力学工具,深入揭示了模型的复杂混沌动力学特性。研究结果表明,该网络不仅展现出复杂的网格多结构混沌吸引子特性,还具有平面初值位移调控能力,从而显著增强了其密码学应用潜力。为了验证其实用性与可靠性,基于微控制器单元(MCU)搭建了硬件平台,并通过硬件实验进一步确认了模型的复杂动力学行为。基于此模型,该文设计了一种结合双忆阻类脑混沌神经网络复杂混沌特性的高效IoMT数据隐私保护方法。在此基础上,对彩色医疗图像数据的加密效果进行了全面的安全性分析。实验结果表明,该方法在关键性能指标上表现优异,包括大密钥空间、低像素相关性、高密钥敏感性,以及对噪声与数据丢失攻击的强鲁棒性。该研究为IoMT环境下的医疗数据隐私保护提供了一种创新且有效的解决方案,为未来的智能医疗安全技术发展奠定了坚实基础。展开更多
采用递归神经网络学习非线性周期运动的吸引子轨迹．网络的拓扑结构基于非线性系统的状态空间表达式,网络权值通过时序反向传播算法调整．探讨了不同样本轨迹和网络结构对递归神经网络预测性能的影响．神经网络的性能评估建立在多条测...采用递归神经网络学习非线性周期运动的吸引子轨迹．网络的拓扑结构基于非线性系统的状态空间表达式,网络权值通过时序反向传播算法调整．探讨了不同样本轨迹和网络结构对递归神经网络预测性能的影响．神经网络的性能评估建立在多条测试样本轨迹的基础上,可以更为客观地评价递归神经网络预测性能．对van der Pol方程的仿真结果表明:网络的泛化能力对训练样本轨迹的依赖性较强,从不同训练轨迹上得到的递归神经网络性能差异较大;需要选择合适的递归神经网络结构参数以提高神经网络的泛化能力．展开更多
文摘The Sloane Digital Sky Survey (SDSS) has been in the process of creating a 3D digital map of the Universe, since 2000AD. However, it has not been able to map that portion of the sky which is occluded by the dust gas and stars of our own Milkyway Galaxy. This research builds on work from a previous paper that sought to impute this missing galactic information using Inpainting, polar transforms and Linear Regression ANNs. In that paper, the author only attempted to impute the data in the Northern hemisphere using the ANN model, which subsequently confirmed the existence of the Great Attractor and the homogeneity of the Universe. In this paper, the author has imputed the Southern Hemisphere and discovered a region that is mostly devoid of stars. Since this area appears to be the counterpart to the Great Attractor, the author refers to it as the Great Repeller and postulates that it is an area of physical repulsion, inline with the work of GerdPommerenke and others. Finally, the paper investigates large scale structures in the imputed galaxies.
文摘The dynamic behavior of discrete-time cellular neural networks(DTCNN), which is strict with zero threshold value, is mainly studied in asynchronous mode and in synchronous mode. In general, a k-attractor of DTCNN is not a convergent point. But in this paper, it is proved that a k-attractor is a convergent point if the strict DTCNN satisfies some conditions. The attraction basin of the strict DTCNN is studied, one example is given to illustrate the previous conclusions to be wrong, and several results are presented. The obtained results on k-attractor and attraction basin not only correct the previous results, but also provide a theoretical foundation of performance analysis and new applications of the DTCNN.
基金This work was supported by NSFC(Grant No.11675096)FPALAB-SNNU(Grant No.16QNGG007).
文摘Hopfield neural networks on scale-free networks display the power law relation between the stability of patterns and the number of patterns.The stability is measured by the overlap between the output state and the stored pattern which is presented to a neural network.In simulations the overlap declines to a constant by a power law decay.Here we provide the explanation for the power law behavior through the signal-to-noise ratio analysis.We show that on sparse networks storing a plenty of patterns the stability of stored patterns can be approached by a power law function with the exponent-0.5.There is a difference between analytic and simulation results that the analytic results of overlap decay to 0.The difference exists because the signal and noise term of nodes diverge from the mean-field approach in the sparse finite size networks.
文摘近年来,医疗数据泄露频发,严重威胁患者隐私与健康安全,亟需有效的解决方案以保护医疗数据在传输过程中的隐私与安全性。该文提出了一种基于双忆阻类脑混沌神经网络的医疗物联网(Internet of Medical Things,IoMT)数据隐私保护方法,以应对这一挑战。首先,利用忆阻器的突触仿生特性,构建了一种基于Hopfield神经网络的双忆阻类脑混沌神经网络模型,并通过分岔图、Lyapunov指数谱、相图、时域图及吸引盆等非线性动力学工具,深入揭示了模型的复杂混沌动力学特性。研究结果表明,该网络不仅展现出复杂的网格多结构混沌吸引子特性,还具有平面初值位移调控能力,从而显著增强了其密码学应用潜力。为了验证其实用性与可靠性,基于微控制器单元(MCU)搭建了硬件平台,并通过硬件实验进一步确认了模型的复杂动力学行为。基于此模型,该文设计了一种结合双忆阻类脑混沌神经网络复杂混沌特性的高效IoMT数据隐私保护方法。在此基础上,对彩色医疗图像数据的加密效果进行了全面的安全性分析。实验结果表明,该方法在关键性能指标上表现优异,包括大密钥空间、低像素相关性、高密钥敏感性,以及对噪声与数据丢失攻击的强鲁棒性。该研究为IoMT环境下的医疗数据隐私保护提供了一种创新且有效的解决方案,为未来的智能医疗安全技术发展奠定了坚实基础。
文摘采用递归神经网络学习非线性周期运动的吸引子轨迹．网络的拓扑结构基于非线性系统的状态空间表达式,网络权值通过时序反向传播算法调整．探讨了不同样本轨迹和网络结构对递归神经网络预测性能的影响．神经网络的性能评估建立在多条测试样本轨迹的基础上,可以更为客观地评价递归神经网络预测性能．对van der Pol方程的仿真结果表明:网络的泛化能力对训练样本轨迹的依赖性较强,从不同训练轨迹上得到的递归神经网络性能差异较大;需要选择合适的递归神经网络结构参数以提高神经网络的泛化能力．
