Integral Global Minimization of Constrained Problems with Discontinuous Penalty Functions

A class of discontinuous penalty functions was proposed to solve constrained minimization problems with the integral approach to global optimization, m-mean value and v-variance optimality conditions of a constrained and penalized minimization problem were investigated. A nonsequential algorithm was proposed. Numerical examples were given to illustrate the effectiveness of the algorithm.

Promote Global Financial Market Integration

The B20 finance-driven growth taskforce provided four policy recommendations,including the optimization of global financial supervision,supporting stable growth of the world economy,the promotion of the development of green finance,and the pro-

Integrate SMEs into the Global Value Chain

We have talked about inclusiveness in many occasions in the SMEs taskforce working group.The starting point for our discussion is how to incorporate more people,more SMEs,morewomen and more young entrepreneurs into global economic development.SMEs shall be involved in the global trade platform along a certain value chain.If this can be achieved,

Cubature Kalman Filter Under Minimum Error Entropy With Fiducial Points for INS/GPS Integration

Traditional cubature Kalman filter(CKF)is a preferable tool for the inertial navigation system(INS)/global positioning system(GPS)integration under Gaussian noises.The CKF,however,may provide a significantly biased estimate when the INS/GPS system suffers from complex non-Gaussian disturbances.To address this issue,a robust nonlinear Kalman filter referred to as cubature Kalman filter under minimum error entropy with fiducial points(MEEF-CKF)is proposed.The MEEF-CKF behaves a strong robustness against complex nonGaussian noises by operating several major steps,i.e.,regression model construction,robust state estimation and free parameters optimization.More concretely,a regression model is constructed with the consideration of residual error caused by linearizing a nonlinear function at the first step.The MEEF-CKF is then developed by solving an optimization problem based on minimum error entropy with fiducial points(MEEF)under the framework of the regression model.In the MEEF-CKF,a novel optimization approach is provided for the purpose of determining free parameters adaptively.In addition,the computational complexity and convergence analyses of the MEEF-CKF are conducted for demonstrating the calculational burden and convergence characteristic.The enhanced robustness of the MEEF-CKF is demonstrated by Monte Carlo simulations on the application of a target tracking with INS/GPS integration under complex nonGaussian noises.

New smooth gap function for box constrained variational inequalities

A new smooth gap function for the box constrained variational inequality problem （VIP） is proposed based on an integral global optimality condition. The smooth gap function is simple and has some good differentiable properties. The box constrained VIP can be reformulated as a differentiable optimization problem by the proposed smooth gap function. The conditions, under which any stationary point of the optimization problem is the solution to the box constrained VIP, are discussed. A simple frictional contact problem is analyzed to show the applications of the smooth gap function. Finally, the numerical experiments confirm the good theoretical properties of the method.

From Chinese Version of Integrative Medicine to Globalized Integrative Medicine:Impression on the 3rd World Integrative Medicine Congress

In the 1950＇s, Chinese medical scientists were trying to take advantage of both Western medicine and traditional Chinese medicine in clinical practice. The integrated traditional Chinese medicine and Western medicine became an academic branch in medical sciences. As more and more medical doctors were involved in the Chinese version of integrative medicine, an academic organization, the Chinese Association of the Integration of Traditional and Western Medicine （now named the Chinese Association of the Integrative Medicine） was established in 1981 aiming to strengthen the academic exchanges in Chinese version of integrative medicine.

Robust backstepping global integral terminal sliding mode controller to enhance dynamic stability of hybrid AC/DC microgrids

In this paper,a Backstepping Global Integral Terminal Sliding Mode Controller(BGITSMC)with the view to enhancing the dynamic stability of a hybrid AC/DC microgrid has been presented.The proposed approach controls the switch-ing signals of the inverter,interlinking the DC-bus with the AC-bus in an AC/DC microgrid for a seamless interface and regulation of the output power of renewable energy sources(Solar Photovoltaic unit,PMSG-based wind farm),and Battery Energy Storage System.The proposed control approach guarantees the dynamic stability of a hybrid AC/DC microgrid by regulating the associated states of the microgrid system to their intended values.The dynamic stabil-ity of the microgrid system with the proposed control law has been proved using the Control Lyapunov Function.A simulation analysis was performed on a test hybrid AC/DC microgrid system to demonstrate the performance of the proposed control strategy in terms of maintaining power balance while the system’s operating point changed.Furthermore,the superiority of the proposed approach has been demonstrated by comparing its performance with the existing Sliding Mode Control(SMC)approach for a hybrid AC/DC microgrid.

A Modified Integral Global Optimization Method and Its Asymptotic Convergence

In this paper, we propose a new integral global optimization algorithm for finding the solution of continuous minimization problem, and prove the asymptotic convergence of this algorithm. In our modified method we use variable measure integral, importance sampling and main idea of the cross-entropy method to ensure its convergence and efficiency. Numerical results show that the new method is very efficient in some challenging continuous global optimization problems.

Global Integrability for Solutions to Obstacle Problems

DenoteκψØ(Ω)={υ∈w1,p(Ω):υ≥ψ,a,e.andυ-Ø∈w1,po(Ω)},where is any function in Q C R^(N),N≥2,with values in RU[±∞]and e is a measurable function.This paper deals with global integrability for u E Kμ,e such that∫Ω﹤Α(χ,▽υ),▽(w-u)﹥dx≥∫Ω﹤f,▽(w-u)dx,■w∈■ψØ(Ω),with/A■≈|■|^(p-1),1<p<N.Some global integrability results are obtained.

A Summary of the ECIM 2015 Global Summit on Integrative Medicine and Healthcare

In September 2015, Nordic Integrative Medicine （NIM）, in partnership with the European Society of Integrative Medicine （ESIM）, convened the 8th European Congress lbr Integrative Medicine （ECIM） 2015 Global Summit on Integrative Medicine and Healthcare in Greater Copenhagen, Denmark, to explore the prominent issues that healthcare is facing, globally and the scientific evidence for or against integrative medicine （lM） that includes conventional medicine （CM）, complementary and alternative medicine （CAM）, and traditional medicine （TM）.

Advancing One Health education:integrative pedagogical approaches and their impacts on interdisciplinary learning

One Health is an integrative approach that emphasizes the interconnectedness of human,animal,and environmental health,advocating for collaborative,multidisciplinary efforts to address health challenges,particularly amid globalization and emerging threats.This paper examines the integration of One Health principles into global health education,highlighting the importance of interdisciplinary collaboration and innovative pedagogical approaches.It evaluates various teaching methods,including problem-based learning(PBL),team-based learning(TBL),simulation-based education(SBE),case-based learning(CBL),interdisciplinary workshops and seminars(IWS),and service-learning(SL),analyzing their strengths and weaknesses in fostering interdisciplinary understanding and practical application of One Health concepts.While these methods enhance learning by promoting critical thinking,collaboration,and real-world application,they also face challenges such as resource constraints,variability in group dynamics,and the complexity of assessing long-term learning outcomes.The paper also discusses the role of global partnerships,such as the Global One Health Research Partnership(GOHRP),in advancing One Health education through collaborative research and educational initiatives.Addressing challenges in curriculum integration and interdisciplinary collaboration is crucial for the effective implementation of One Health education,ensuring that future health professionals are equipped to tackle complex global health challenges.

A New Approach to Estimate True Position of Unmanned Aerial Vehicles in an INS/GPS Integration System in GPS Spoofing Attack Conditions

This paper presents a new approach to estimate the true position of an unmanned aerial vehicle （UAV） in the conditions of spoofing attacks on global positioning system （GPS） receivers. This approach consists of two phases, the spoofing detection phase which is accomplished by hypothesis test and the trajectory estimation phase which is carried out by applying the adapted particle filters to the integrated inertial navigation system （INS） and GPS. Due to nonlinearity and unfavorable impacts of spoofing signals on GPS receivers, deviation in position calculation is modeled as a cumulative uniform error. This paper also presents a procedure of applying adapted particle swarm optimization filter （PSOF） to the INS/GPS integration system as an estimator to compensate spoofing attacks. Due to memory based nature of PSOF and benefits of each particle＇s experiences, application of PSOF algorithm in the INS/GPS integ- ration system leads to more precise positioning compared with general particle filter （PF） and adaptive unscented particle filer （AUPF） in the GPS spoofing attack scenarios. Simulation results show that the adapted PSOF algorithm is more reliable and accurate in estim- ating the true position of UAV in the condition of spoofing attacks. The validation of the proposed method is done by root mean square error （RMSE） test.

Refined Spatialization of 10-Day Precipitation in China Based on GPM IMERG Data and Terrain Decomposition Using the BEMD Algorithm

Continuous high spatial-resolution 10-day precipitation data are essential for crop growth services and phenological research.In this study,we first use the bidimensional empirical mode decomposition(BEMD)algorithm to decompose the digital elevation model(DEM)data and obtain high-frequency(OR3),intermediate-frequency(OR5),and low-frequency(OR8)margin terrains.Then,we propose a refined precipitation spatialization model,which uses ground-based meteorological observation data,integrated multi-satellite retrievals for global precipitation measurement(GPM IMERG)satellite precipitation products,DEM data,terrain decomposition data,prevailing precipitation direction(PPD)data,and other multisource data,to construct China's high-resolution 10-day precipitation data from2001 to 2018.The decomposition results show mountainous terrain from fine to coarse scales;and the influences of altitude,slope,and aspect on precipitation are better represented in the model after topography is decomposed.Moreover,terrain decomposition data can be added to the model simulation to improve the quality of the simulation product;the simulation quality of the model in summer is better than that in spring and autumn,and is relatively poor in winter;and OR5 and OR8 can be improved in the simulation,with better OR5 and OR8 dynamically selected.In addition,preprocessing the data before precipitation spatialization is particularly important.For example,adding 0.01to the 0 value of precipitation,multiplying the small value of precipitation less than 1 by 10,and performing the normal distributions transform(e.g.,Yeo–Johnson)on the data can improve the simulation quality.