Empirical Analysis of Financial Statement Fraud of Listed Companies Based on Logistic Regression and Random Forest Algorithm by Xinchun Liu

“…Financial supervision plays an important role in the construction of market economy, but financial data has the characteristics of being nonstationary and nonlinear and low signal-to-noise ratio, so an effective financial detection method is needed. …”
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LOCAL LINEAR EMBEDDING ALGORITHM FOR PARAMETER MATRIX MEASUREMENT IN SYMMETRIC POSITIVE DEFINITE MANIFOLD (MT) by LIU QingQiang, HE HongKai, ZHENG ChangMin, SUN YanRu, LIU ZiXuan

“…Aiming at the problem that Euclidean space cannot effectively describe the nonlinear structure of the data and affects the performance of the feature extraction of the local linear embedding（LLE） algorithm, a local linear embedding algorithm based on the parameter matrix measurement on a symmetric positive definite（SPD-PMM-LLE） manifold is proposed. …”
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A Novel Algorithm for Studying the Effects of Squeezing Flow of a Casson Fluid between Parallel Plates on Magnetic Field by Abdul-Sattar J. A. Al-Saif, Abeer Majeed Jasim

“…The suitable one of similarity transformation conversion laws is proposed to obtain the governing MHD flow nonlinear ordinary differential equation. The resulting equation has been solved by a novel algorithm. …”
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A New Two-Lane Lattice Hydrodynamic Model considering the Traffic Interruption Probability under Honk Environment by Qingying Wang, Hongxia Ge, Rongjun Cheng

“…Then, the mKdV equation near the critical point can be obtained by applying nonlinear analysis, which describes the traffic jams according to the kink-antikink density waves. …”
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Morphological spatial patterns in a reaction diffusion model for metal growth by Benedetto Bozzini, Deborah Lacitignola, Ivonne Sgura

“…In this paper a reaction-diffusion system modelling metal growth processes is considered, to investigate -within the electrodeposition context- the formation of morphological patterns in a finite two-dimensional spatialdomain. Nonlinear dynamics of the system is studied from both the analytical and numerical points of view. …”
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Integrability, Variational Principle, Bifurcation, and New Wave Solutions for the Ivancevic Option Pricing Model by A. A. Elmandouh, M. E. Elbrolosy

“…The Ivancevic option pricing model comes as an alternative to the Black-Scholes model and depicts a controlled Brownian motion associated with the nonlinear Schrodinger equation. The applicability and practicality of this model have been studied by many researchers, but the analytical approach has been virtually absent from the literature. …”
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Analysis of the Effect of the Friction Coefficient on a Pavement Structure by Lu Bai, Yong-sheng Zhang

“…The model analyzes the inner stress, strain, and displacement variations of the pavement, with friction coefficients under the conditions of 0.3, 0.5, 0.8, and 1.0 and the action of the nonlinear superposition between the single-point static vertical load and horizontal load. …”
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Effects of Fit Clearance Between the Outer Ring and the Housing on Vibration Characters of the Gear-shaft-bearing System by Xu Lijin, Chen Qing, Dai Peng, Wang Fengtao

“…In this model, the gear pair system and the bearing system are combined, the collision force and friction force caused by the fit clearance are considered, which are calculated by the nonlinear contact in Hertz theory and Coulomb friction model. …”
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Research Progress on Dynamic Uniform Load Characteristics of Planetary Gear Transmission by Li Kaiyang, Zhang Yijun, Wang Zhen, Zhang Guibin, Yan Shidang, Shi Lubing, Liu Zhongming

“…At present, dynamic analysis and the influence of nonlinear factors are the focus of research on uniform load problems. …”
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Prediction of Blasting Fragmentation Based on GWO-ELM by Zhengzhao Jia, Ziling Song, Junfu Fan, Juyu Jiang

“…Aiming at the complex nonlinear relationship among factors affecting blasting fragmentation, the input weight and hidden layer threshold of ELM (extreme learning machine) were optimized by gray wolf optimizer (GWO) and the prediction model of GWO-ELM blasting fragmentation was established. …”
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Sumudu residual power series method to solve time-fractional Fisher’s equation by Rajendra Pant, Geeta Arora, Homan Emadifar, Ahmed A. Hamoud

“…In this paper, the one-dimensional nonlinear temporal fractional-order Fisher’s equation is solved by using the Sumudu residual power series method (SRPSM), a powerful computing technique. …”
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Improved Error Reduction and Hybrid Input Output Algorithms for Phase Retrieval by including a Sparse Dictionary Learning-Based Inpainting Method by Jian-Jia Su, Chung-Hao Tien

“…The phase retrieval (PR), reconstructing an object from its Fourier magnitudes, is equivalent to a nonlinear inverse problem. In this paper, we proposed a two-step algorithm that traditional ER/HIO iteration plays as the coarse feature reconstruction, whereas the KSVD-based inpainting technique deals with the fine feature set accordingly. …”
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Optimal Position and Velocity Estimation for Multi-USV Positioning Systems with Range Measurements by Wei Chen, Ruisheng Sun, Weisheng Yan

“…According to the range measurement and kinematics model of the target, we formulate this problem in a mixed linear/nonlinear discrete-time system. In this system, the input and state represent the velocity and position of the target, respectively. …”
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Energy efficiency maximization resource allocation algorithm in wireless-powered backscatter communication network by Yongjun XU, Bowen GU, Qianbin CHEN, Jinzhao LIN

“…In order to alleviate the energy consumption problem caused by the increasing number of Internet of things (IoT) nodes,an energy-efficient (EE) maximization based resource allocation algorithm was proposed for multi-carrier wireless-powered backscatter communication network.Firstly,a multivariable and nonlinear resource allocation model was formulated to jointly optimize transmit power,transmission time,reflection coefficient,and energy-harvesting allocation coefficient,where the maximum transmit power constraint of the power station and the minimum harvested energy constraint at the backscatter device were considered.Then,the original non-convex optimization problem was transformed into a convex one which was solved by using Dinkelbach’s method and the variable substitution approach.Furthermore,the analytical solution of the resource allocation problem was obtained based on Lagrange dual theory.Simulation results verify that the proposed algorithm has better EE by comparing it with the existing algorithm under pure backscatter mode and algorithm under the harvested-then-transmit mode.…”
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Residual Symmetry, Bäcklund Transformation, and Soliton Solutions of the Higher-Order Broer-Kaup System by Yarong Xia, Ruoxia Yao, Xiangpeng Xin

“…In order to find more general solution of HBK system, we further generalize the residual symmetry method to the consistent tanh expansion (CTE) method and prove that the HBK system is CTE solvable, then the resonant soliton solutions and interaction solutions among different nonlinear excitations are obtained by the CET method.…”
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Research on chaotic secure communication system based on all optical chaos injection double-loop electro-optical phase feedback loop by ZHOU Xuefang, WANG Fei, YANG Guowei, BI Meihua, XU Mengmeng, HU Miao

“…Firstly, optical chaos was generated by all optical feedback and coupled to two electro-optic phase chaos feedback loops. Then, the nonlinear coupling of information and chaotic carrier was achieved through phase modulation to participate in the generation of chaotic carrier. …”
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Adaptive Neural Sliding Mode Control of Active Power Filter by Juntao Fei, Zhe Wang

“…The advantages of the adaptive control, neural network control, and sliding mode control are combined together to achieve the control task; that is, the harmonic current of nonlinear load can be eliminated and the quality of power system can be well improved. …”
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Improved Solutions for the Optimal Coordination of DOCRs Using Firefly Algorithm by Muhammad Sulaiman, Waseem, Shakoor Muhammad, Asfandyar Khan

“…It is a complex and highly nonlinear constrained optimization problem. In this problem, we have two types of design variables, which are variables for plug settings (PSs) and the time dial settings (TDSs) for each relay in the circuit. …”
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User interest-aware content replica optimized placement algorithm by Xiao-long YANG, Xin-xin WANG, Min ZHANG, Ke-ping LONG, Qiong HUANG

“…A user interest-aware content replica optimized placement algorithm (UIARP) is proposed.Firstly,the interest subjects of the user-collective are extracted from their content access logs by clustering algorithms,and according to the weighting of the individual interest degree,their collective interest degree would be got and updated in real time; then under the nonlinear optimization model,replicas of larger collective interest degree have priority to be placed,with the goal of minimizing the average response time,which achieves the maximum match between placing replicas and users’ content demand.This algorithm not only ensures that users get interested replicas quickly,but also improves the system efficiency.From four aspects including average response time,the matching degree of request response,load balancing and the utilization rate of adjacent replicas,using 1-Greedy-Insert or others as compared algorithms,the simulation re-sults show that each metric improves by 30% on average,which verifies the effectiveness of the proposed algorithm.…”
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STRUCTURAL DAMAGE IDENTIFICATION BASED ON LMD SAMPLE ENTROPY AND RBF NETWORK by WANG MingYue, MIAO BingRong, LI Xu Juan, YANG ZhongKun

“…Adaptive time frequency analysis based on local mean decomposition and nonlinear quantization ability of sample entropy,combined with radial basis function（ RBF） neural network. …”
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