Time Series Prediction Based on Complex-Valued S-System ModelRead the full article
Complexity publishes original research and review articles across a broad range of disciplines with the purpose of reporting important advances in the scientific study of complex systems.
Chief Editor, Prof Sayama, is currently researching complex dynamical networks, human and social dynamics, artificial life, and interactive systems while working at Binghamton University, State University of New York.
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Adaptive Hybrid Soft-Sensor Model of Grinding Process Based on Regularized Extreme Learning Machine and Least Squares Support Vector Machine Optimized by Golden Sine Harris Hawk Optimization Algorithm
Soft-sensor technology plays a vital role in tracking and monitoring the key production indicators of the grinding and classifying process. Least squares support vector machine (LSSVM), as a soft-sensor model with strong generalization ability, can be used to predict key production indicators in complex grinding processes. The traditional crossvalidation method cannot obtain the ideal structure parameters of LSSVM. In order to improve the prediction accuracy of LSSVM, a golden sine Harris Hawk optimization (GSHHO) algorithm was proposed to optimize the structure parameters of LSSVM models with linear kernel, sigmoid kernel, polynomial kernel, and radial basis kernel, and the influences of GSHHO algorithm on the prediction accuracy under these LSSVM models were studied. In order to deal with the problem that the prediction accuracy of the model decreases due to changes of industrial status, this paper adopts moving window (MW) strategy to adaptively revise the LSSVM (MW-LSSVM), which greatly improves the prediction accuracy of the LSSVM. The prediction accuracy of the regularized extreme learning machine with MW strategy (MW-RELM) is higher than that of MW-LSSVM at some moments. Based on the training errors of LSSVM and RELM within the window, this paper proposes an adaptive hybrid soft-sensing model that switches between LSSVM and RELM. Compared with the previous MW-LSSVM, MW-neural network trained with extended Kalman filter(MW-KNN), and MW-RELM, the prediction accuracy of the hybrid model is further improved. Simulation results show that the proposed hybrid adaptive soft-sensor model has good generalization ability and prediction accuracy.
The Solvability of Fractional Elliptic Equation with the Hardy Potential
In this paper, we study the existence and nonexistence of solutions to fractional elliptic equations with the Hardy potential where is a bounded Lipschitz domain with , is a fractional Laplace operator, , , is a positive number, , is a parameter depending on , , and is the sharp constant of the Hardy–Sobolev inequality.
Test of Association in the Presence of Complex Environment
A new test of independence under neutrosophic statistics for testing the association between two criteria of classification is presented in this paper. The necessary contingency tables for the neutrosophic population and the neutrosophic sample are presented. The test statistic of the proposed test is introduced under neutrosophic statistics. A real example from education is selected to explain the proposed test. From the real example, it is concluded that the proposed test of independence is more informative, flexible, and suitable to be applied under uncertainty as compared to the existing test under classical statistics.
Effects of Coinfection on the Dynamics of Two Pathogens in a Tick-Host Infection Model
As both ticks and hosts may carry one or more pathogens, the phenomenon of coinfection of multiple tick-borne diseases becomes highly relevant and plays a key role in tick-borne disease transmission. In this paper, we propose a coinfection model involving two tick-borne diseases in a tick-host population and calculate the basic reproduction numbers at the disease-free equilibrium and two boundary equilibria. To explore the impact of coinfection, we also derive the invasion reproduction numbers which indicate the potential of a pathogen to persist when another pathogen already exists in tick and host populations. Then, we obtain the global stability of the system at the disease-free equilibrium and the boundary equilibrium, respectively, and further demonstrate the existence conditions for uniform persistence of the two diseases. The final numerical simulations mainly verify the theoretical results of coinfection.
Some Topological Notations via Maki’s Λ-Sets
Our purpose is to present the notions of a --set and a --sets in topological space. We discuss the basic properties of --sets and --sets. Also, the achievement of the topology defined by these families of sets is obtained. Finally, these results are applied to the case of which is the digital -space (cf. Section 4).
Application of Taiwan’s Human Rights-Themed Cultural Assets and Spatial Information
Cultural assets preserve the traces of people’s life history around the world. With an understanding of the historical context and meaning of cultural assets, people would cherish their value and then adopt appropriate cultural resource preservation strategies. Human rights as the universal value refer to the inalienable and basic rights of human beings. This article uses the National Cultural Assets Network to query Taiwan’s human rights-themed cultural assets, and I apply the spatial information technology of the DocuSky digital humanities academic research platform to draw the maps with GIS and visualization tools. Also, I apply spatial information to the academic research of human rights-themed cultural assets, aiming to deepen local cultural identity and unveiling that human studies influence spatial practice. Tourism is an important experience economy. Based on the value of Taiwan’s human rights-themed cultural assets, I plan to guide the human rights journey in Taipei to share Taiwan’s experience of happiness with the world, as well.