SURVEY OF MACHINE LEARNING APPLICATIONS IN MEDICAL IMAGING. ALGORITHMS AND TECHNOLOGIES by Marius Eremia Vlaicu POPA, Mihai CRUCERU, Bogdan DIACONU

“…ML algorithms and technologies developed exponentially over the last decades triggered by advances in processing capacity, open-source ML platforms, frameworks and libraries (Anaconda, Scikit, TensorFlow, OpenNN, Torch and so on). …”
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Stability of Stochastic Differential Delay Systems with Delayed Impulses by Yanlei Wu

“…Some criteria on the pth moment and almost sure exponential stability are obtained. It is shown that an unstable stochastic delay system can be successfully stabilized by delayed impulses. …”
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A Semi-Analytical Solution of Inverse Laplace Transform by Shuang Luo, Fu-yao Zhao

“…We propose a general method for constructing the semi-analytical solution of the inverse Laplace transform, realized through the powerful exponential approximation invented by Wang et al. in 1993. …”
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ONSET OF AFRICAN SWINE FEVER EPIDEMIC IN THE EUROPEAN UNION (EU) by K. N. Gruzdev, N. V. Lebedev, A. K. Karaulov

“…During 2014 the situation was exponentially aggravating. The disease was reported in wild boars and pigs as well as on commercial pig farms and large pig establishments. …”
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Stability of Exact and Discrete Energy for Non-Fickian Reaction-Diffusion Equations with a Variable Delay by Dongfang Li, Chao Tong, Jinming Wen

“…It is shown that the perturbation of the energy function of the continuous problems decays exponentially, which provides a more accurate and convenient way to express the rate of decay of energy. …”
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New Results for Periodic Solution of High-Order BAM Neural Networks with Continuously Distributed Delays and Impulses by Chang-Bo Yang, Ting-Zhu Huang, Jin-Liang Shao

“…By M-matrix theory, inequality techniques, and Lyapunov functional method, certain sufficient conditions are obtained to ensure the existence, uniqueness, and global exponential stability of periodic solution for a new type of high-order BAM neural networks with continuously distributed delays and impulses. …”
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Almost Automorphic Mild Solutions to Neutral Parabolic Nonautonomous Evolution Equations with Nondense Domain by Zhanrong Hu, Zhen Jin

“…Combining the exponential dichotomy of evolution family, composition theorems for almost automorphic functions with Banach fixed point theorem, we establish new existence and uniqueness theorems for almost automorphic mild solutions to neutral parabolic nonautonomous evolution equations with nondense domain. …”
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Qualitative Study of a 4D Chaos Financial System by Fuchen Zhang, Gaoxiang Yang, Yong Zhang, Xiaofeng Liao, Guangyun Zhang

“…Furthermore, the volumes of the ultimate bound set and the global exponential attractive set are obtained.…”
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SPECIFIC ASPECTS OF AVIBACTERIUM PARAGALLINARUM INACTIVATION WITH FORMALDEHYDE AND THIOMERSAL by M. S. Firsova, V. A. Yevgrafova, A. V. Potekhin

“…The bacterium destruction by 0.20% and 0.10% formaldehyde proceeds at the constant rate thus indicating exponential dependence of the microorganism inactivation processes. …”
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Effect of Strain-Dependent Hydraulic Conductivity of Coal Rock on Groundwater Inrush in Mining by Haifeng Lu, Nan Shan, You-Kuan Zhang, Xiuyu Liang

“…In this study, variations of hydraulic conductivity of rock samples during rock deformation and failure were measured using the triaxial servo rock mechanic test in a laboratory. The exponential formula of hydraulic conductivity-volume strain was proposed based on the experimental data. …”
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Enhanced sensitivity via non-Hermitian topology by Midya Parto, Christian Leefmans, James Williams, Robert M. Gray, Alireza Marandi

“…Our experimentally measured sensitivities for different lattice sizes confirm the characteristic exponential enhancement of NTOS. We show that this peculiar response arises due to the combined synergy between non-Hermiticity and topology, something that is absent in Hermitian topological lattices. …”
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Modeling to medical and economic data using: The transmuted power unit inverse Lindley distribution by Eman A. Eldessouky, Osama H. Mahmoud Hassan, Badr Aloraini, Ibrahim Elbatal

“…The goodness-of-fit was assessed through multiple measures, revealing that the TPUILD offers a markedly superior fit in comparison to the inverse Topp-Leone, power XLindley, truncated power Lomax, truncated Weibull, exponential Pareto, Kumaraswamy Kumaraswamy, exponentiated Kumaraswamy, and Marshall–Olkin Kumaraswamy models. distributions. …”
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More Benefits of Adding Sparse Random Links to Wireless Networks: Yet Another Case for Hybrid Networks by Gunes Ercal

“…We prove that the diameter for G 1 is O ( k + log     ( n ) ) with high probability and the diameter for G 2 is O ( k log     ( n ) ) with high probability, both of which exponentially improve the Θ ( n / log n ) diameter of the random geometric graph around the connectivity threshold, thus also inducing small-world characteristics as the high clustering remains unchanged. …”
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Improved pulse shaping for PAPR reduction of OFDM signal by Zhuo-ming FENG, Wei-zhong LIU, Xiong-fei TAO, Bai-yun LUO

“…An improved Nyquist pulse was presented.The proposed pulse waveform can significantly reduce the PAPR and keep the system BER invariant at the same time,but at the expense of a little spectrum loss.Simulation results show that the proposed shaping pulse can get better performance of PAPR compared to traditional raised cosine pulse and flipped-exponential pulse.It is an effective method with low complexity to reduced the PAPR of OFDM signal by pulse shapping with the proposed nyquist pulse.…”
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Stabilization for the Stochastic Heat Equation with Boundary Control by Baolin Ma, Yiyue Sun, Guojie Zheng

“…By the backstepping technique, a boundary feedback control is designed to stabilize the unstable stochastic system, including the 2nd-moment and almost-sure exponential stabilization. We also prove that the system with a disturbance in the control channel possesses good robust stability under our control strategy and suitable conditions. …”
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Extension of successive midpoint scheme for nonlinear differential equations with global nonlocal operators by Abdon Atangana, Seda Igret Araz

“…This research looked at nonlinear ordinary differential equations with global differential operators and the Dirac-delta and exponential decay kernels. A recently developed numerical approach based on the repetitive use of the well-known midpoint quadrature approximation. …”
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Anti-Periodic Dynamics of Quaternion-Valued Fuzzy Cellular Neural Networks with Time-Varying Delays on Time Scales by Shiping Shen, Bing Li, Yongkun Li

“…Based on inequality analysis techniques on time scales, a fixed point theorem and the theory of calculus on time scales, the existence, and global exponential stability of anti-periodic solutions for this class of neural networks are established. …”
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Junction Parameter Extraction for Electronic Device Characterization by S. Dib, C. Salame, N. Toufik, A. Khoury, F. Pélanchon, P. Mialhe

“…An application, achieved to observe the degradation of the emitter–base junction of a bipolar transistor during an aging experiment, shows that the evolutions of the single exponential model parameters versus time introduce a means for degradation quantification.…”
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On Eigenvalues of the Generator of a C0-Semigroup Appearing in Queueing Theory by Geni Gupur

“…Moreover, our result also shows that it is impossible that the time-dependent solution of the M/M/1 queueing model exponentially converges to its steady-state solution.…”
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Anticollocated Backstepping Observer Design for a Class of Coupled Reaction-Diffusion PDEs by Antonello Baccoli, Alessandro Pisano

“…Particularly, a backstepping-based observer is designed and the exponential stability of the error system is proven with an arbitrarily fast convergence rate. …”
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