Adaptive tensor train learning algorithm based on single-aspect streaming model by Baoze MA, Guojun LI, Long XING, Changrong YE

“…An adaptive tensor train (TT) learning algorithm for the online decomposition problem of high-order tensors in single-aspect streaming model was investigated.Firstly, it was deduced that single-aspect streaming increment only changes the dimension of temporal TT core.Secondly, the forgetting factor and regularization item were introduced to construct the objective function of exponentially weighted least-squares.Finally, the block-coordinate descent learning strategy was used to estimate the temporal and non-temporal TT core tensors respectively.Simulation results demonstrate that the proposed algorithm is validated in terms of increment size, TT-rank, noise and time-varying intensity, the average relative error and operation time are smaller than that of the comparison algorithms.The tensor slice reconstruction ability is superior than that of the comparison algorithms in the video adaptive analysis.…”
Get full text

Stability in Mean of Partial Variables for Coupled Stochastic Reaction-Diffusion Systems on Networks: A Graph Approach by Yonggui Kao, Hamid Reza Karimi

“…By transforming the integral of the trajectory with respect to spatial variables as the solution of the stochastic ordinary differential equations (SODE) and using Itô formula, we establish some novel stability principles for uniform stability in mean, asymptotic stability in mean, uniformly asymptotic stability in mean, and exponential stability in mean of partial variables for CSRDSNs. …”
Get full text

Similarities and correlation between resident tourist overnights and Google Trends information in Portugal and its tourism regions by Gorete Dinis, Carlos Costa, Osvaldo Pacheco

“…Over the last years, we observed an exponential growth in the number of tourism consumers that use the Internet as a source of information during a destination selection process. …”
Get full text

A Novel Terminal Sliding Mode Variable Structure Model Reference Adaptive System Observer for Permanent Magnet Synchronous Motors by Yan Bai, Lei Zhang, Xiang-Min Meng, Jing Bai, Guang Han

“…In addition, a novel reaching law (NRL) is designed to replace the traditional exponential reaching law (TRL) to suppress the chattering phenomenon in the sliding mode control. …”
Get full text

Bernoulli Collocation Method for Solving Linear Multidimensional Diffusion and Wave Equations with Dirichlet Boundary Conditions by Bashar Zogheib, Emran Tohidi, Stanford Shateyi

“…Several numerical examples are provided to show the efficiency and spectral (exponential) accuracy of the proposed method.…”
Get full text

Additive contribution of multiferroic film and semiconductor substrate from nanotube array to resistive switching, topographic features by Shikhgasan Ramazanov, Gaji Gajiev, Daud Selimov, Sadrudin Gadzhimuradov, Sagim Suleymanov, Ştefan Ţălu, Robert S. Matos, Henrique D. da Fonseca Filho

“…The self-affine attributes of the BFOT film are validated by the exponential reduction in autocorrelation functions, and the Minkowski functionals underscore the intricate and irregular nature of the film's topographic patterns.…”
Get full text

Prime Ideals and Three-generated Ideals with Large Regularity by McCullough, Jason

“…We provide a construction showing that both $\Phi (3,d)$ and $\Psi (e)$ must be at least doubly exponential in $d$ and $e$, respectively. Previously known lower bounds were merely super-polynomial in both cases.…”
Get full text

Leaky Modes of Waveguides as a Classical Optics Analogy of Quantum Resonances by Sara Cruz y Cruz, Oscar Rosas-Ortiz

“…As resonances are scattering states that spend some time in the zone of influence of the scatterer, we associate them with the leaky modes of a waveguide, the latter characterized by suffering attenuation in the direction of propagation but increasing exponentially in the transverse directions. The resemblance is complete because resonances (leaky modes) can be interpreted as bound states (guided modes) with definite lifetime (longitudinal shift). …”
Get full text

Quantum implementation of the classical guided image filtering algorithm by Jiale Mu, Xiaofei Li, Xianghua Zhang, Pinghe Wang

“…We find that the speed and quality of filtering are improved significantly due to the quantization, and the time complexity is reduced exponentially from $$O(2^{2q})$$ O ( 2 2 q ) to $$O(q^2)$$ O ( q 2 ) .…”
Get full text

Who owns the Atoms? Nanotechnology and Intellectual Property Rights by Tomás Javier Carrozza, Susana Silvia Brieva

“…In Latin America, under the premise of enhancing economic competitiveness, there has been an exponential increase in investments in the development of nanotechnologies. …”
Get full text

Bundle Pricing Decisions for Fresh Products with Quality Deterioration by Yan Fang, Yiping Jiang, Xingxing Han

“…The value of fresh products with quality deterioration is approximated as an exponential function based on which customer’s reservation prices are calculated. …”
Get full text

Depth-Adaptive Air and Underwater Invisible Light Communication System with Aerial Reflection Repeater Assistance by Takahiro Kodama, Keita Tanaka, Kiichiro Kuwahara, Ayumu Kariya, Shogo Hayashida

“…Experiments confirmed an exponential SNR decrease with distance (0.6–1.8 m) and demonstrated successful 4K UHD video streaming in shallow seawater (turbidity: 2.2 NTU) without quality loss. …”
Get full text

Improved Generalized Sparsity Adaptive Matching Pursuit Algorithm Based on Compressive Sensing by Zhao Liquan, Ma Ke, Jia Yanfei

“…In respect of sparsity estimation, the proposed method introduces the exponential function to sparsity estimation. It uses a larger step size to estimate sparsity at the beginning of iteration to accelerate the algorithm convergence speed and a smaller step size to improve the reconstruction accuracy. …”
Get full text

Stock Price Prediction in the Financial Market Using Machine Learning Models by Diogo M. Teixeira, Ramiro S. Barbosa

“…Fundamental concepts of technical analysis are explored, such as exponential and simple averages, and various global indices are analyzed to be used as inputs for machine learning models, including Recurrent Neural Network (RNN), Long Short-Term Memory (LSTM), Gated Recurrent Unit (GRU), Convolutional Neural Network (CNN), and XGBoost. …”
Get full text

Delay-Dependent Guaranteed Cost Controller Design for Uncertain Neural Networks with Interval Time-Varying Delay by M. Rajchakit, P. Niamsup, T. Rojsiraphisal, G. Rajchakit

“…The stabilizing controllers to be designed must satisfy some exponential stability constraints on the closed-loop poles. …”
Get full text

An observer for a nonlinear age-structured model of a harvested fish population by Diène Ngom, A. Iggidir, Aboudramane Guiro, Abderrahim Ouahbi

“…We analyse the convergence of the observer and we showthat the error estimation tends to zero with exponential speed if a conditionon the fishing effort is satisfied. …”
Get full text

Invariance of the speckle pattern of the transmitted wave in periodic waveguides by Elie Salemeh, Simon Félix, Vincent Pagneux

“…Moreover, while all localized modes in a disordered medium are exponentially decaying, our periodic waveguide system offers the possibility of observing the freezing with propagating waves, hence without the counterpart of having a very low energy transmission.…”
Get full text

Exact Solution for the Torsional Vibration of an Elastic Pile in a Radially Inhomogeneous Saturated Soil by Xibin Li, Zhiqing Zhang, Jianchao Sheng

“…The radially inhomogeneous saturated soil is composed of inner disturbed and outer semi-infinite undisturbed concentric annular regions, with the shear modulus of the inner region changing in an exponential form along the radial direction. The governing equation of each region of the saturated soil is solved through rigorous mathematical derivation and the soil torsional impedance is derived with an exact and explicit expression. …”
Get full text

Survey on the privacy-preserving content based image retrieval by Ying WU, Xuan LI, Biao JIN, Rongrong JIN

“…With the widespread popularity of smart devices and social media,the number of image data is exponentially increasing.The data owners tend to outsource the local data to the cloud servers,where data is stored,shared and retrieved.However,the content of users’ image data contains a lot of sensitive information,which may be exposed to the attackers and the incomplete trusted cloud servers,resulting in a serious risk of privacy leakage to users.The research progress of the content-based image retrieval technology under the privacy-preserving in recent years were reviewed,and the key image cryptographic technology were summarized,including homomorphic encryption,randomized encryption and comparative encryption.Around these techniques,the typical solutions are analyzed and compared in detail,and the improvement strategies of index construction are introduced.Finally,the future research directions are discussed.…”
Get full text

“High Frequency/Small Tidal Volume Differential Lung Ventilation”: A Technique of Ventilating the Nondependent Lung of One Lung Ventilation for Robotically Assisted Thoracic Surger... by Bassam M. Shoman, Hany O. Ragab, Ammar Mustafa, Rashid Mazhar

“…With the introduction of new techniques and advances in the thoracic surgery fields, challenges to the anesthesia techniques had became increasingly exponential. One of the great improvements that took place in the thoracic surgical field was the use of the robotically assisted thoracic surgical procedure and minimally invasive endoscopic thoracic surgery. …”
Get full text