parametric functions
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2022 ◽  
Vol 2022 ◽  
pp. 1-9
Author(s):  
Yu Xie ◽  
Xiaodong Xie ◽  
Huan Xia ◽  
Zhe Zhao

The algorithms used by schedulers depend on the complexity of the schedule and constraints for each problem. The position and movement of badminton players in badminton doubles competition is one of the key factors to improve the athletes’ transition efficiency of offense and defense and the rate of winning matches and to save energy consumption. From the perspective of basic theory, the author conducts research on the position and movement of badminton doubles. Based on the numerical analysis method, the optimal model of standing position and direction composed of 7 nonlinear equations is established. In addition, the final of 10 matches of the super series of the world badminton federation in 2019 was selected as the sample of speed parameters. With the help of MATLAB mathematical analysis software, the numerical model established by the least square method was adopted to optimize the specific standing position and walking model. Ultimately, the optimal solution has been obtained, which can be represented on a plane graph. The optimal position of the attack station should be the blocking area (saddle-shaped area) and the hanging area (circular arc area in the middle). The optimal defensive positioning should be left defensive positioning area (left front triangle area) and right defensive positioning area (right front triangle area), which is consistent with our current experience and research results. The research results use mathematical tools to calculate the accurate optimal position in doubles matches, which has guiding significance to the choice of athletes’ position and walking position in actual combat and can also be used as a reference for training, providing a certain theoretical basis for the standing and walking of badminton doubles confrontation. The data collection and operation methods in this study can provide better calculation materials for artificial intelligence optimization and fuzzy operation of motion displacement, which is of great significance in the field of motion, simulation, and the call of parametric functions.


Author(s):  
E. Skakalina

Modern development of computer technology and the possibility of implementing calculations in parallel allow to solve increasingly large-scale problems of numerical modeling. The development of multiprocessor computing and parallel computing makes it important to solve problems of optimization analysis. The optimization analysis is based on the mass solution of inverse problems when the defining parameters of the considered class of problems change in certain ranges. Thus, calculations of not only direct problems where it is necessary to model the phenomenon at the known initial data, but also calculations of inverse problems where it is necessary to define on what defining parameters there is this or that phenomenon become more and more demanded. This formulation requires multiple solutions of direct problems and solving the problem of optimization analysis and construction of predictive trends. Sets of multidimensional parametric data in the paper are considered as numerical solutions of the optimization problem. The construction of predictive trends is implemented on the basis of the group method of data handling as a direction of induction modeling. The methodology of visualization of results of calculation of parametric functions is realized. The scheme of Data Mining with application of methods of visualization by means of the Matlab software environment is described


2021 ◽  
pp. 1471082X2110365
Author(s):  
Gianluca Sottile ◽  
Paolo Frumento

Quantile regression (QR) has gained popularity during the last decades, and is now considered a standard method by applied statisticians and practitioners in various fields. In this work, we applied QR to investigate climate change by analysing historical temperatures in the Arctic Circle. This approach proved very flexible and allowed to investigate the tails of the distribution, that correspond to extreme events. The presence of quantile crossing, however, prevented using the fitted model for prediction and extrapolation. In search of a possible solution, we first considered a different version of QR, in which the QR coefficients were described by parametric functions. This alleviated the crossing problem, but did not eliminate it completely. Finally, we exploited the imposed parametric structure to formulate a constrained optimization algorithm that enforced monotonicity. The proposed example showed how the relatively unexplored field of parametric quantile functions could offer new solutions to the long-standing problem of quantile crossing. Our approach is particularly convenient in situations, like the analysis of time series, in which the fitted model may be used to predict extreme quantiles or to perform extrapolation. The described estimator has been implemented in the R package qrcm.


2021 ◽  
Vol 11 (2) ◽  
pp. 2142-2155
Author(s):  
D. Jayakumar ◽  
S. Srinivasan ◽  
P. Prithi ◽  
Sreelekha Vemula ◽  
Narashena Sri

Yield forecasting is based totally entirely on soil, water and vegetation to be a possible subject. Deep-based depth-based fashions are widely accustomed extract important plant functions for predictive purposes. Although such strategies are necessary to resolve the matter of predicting yields there are the subsequent abnormalities: they can't create an indirect or indirect map between raw facts and yield values; and also the full functionality of this excess is explained within the high satisfaction of the published works. Deep durability provides guidance and motivation for the above-mentioned errors. Combining master intensity and deep mastering, deep reinforcing mastering creates a comprehensive yield prediction framework which will plan the uncooked facts in crop prediction rates. The proposed project creates a version of the Deep Recurrent Q-Network Support Vector Machine deep mastering set of rules over Q-Learning to strengthen the mastering set of rules for predicting yield. Sequential downloads of the Recurrent Neural community are fed by fact parameters. The Q-mastering community creates a predictive yield environment based totally on input criteria. The precise layer displays the discharge values of the Support Vector Machine on the Q values. The reinforcement master component contains a mix of parametric functions on the sting that helps predict the yield. Finally, the agent obtains a measure of the mixture of steps performed by minimizing the error and increasing the accuracy of the forecast. The proposed model successfully predicts this crop yield that's hip by keeping the initial distribution of facts with 93.7% accuracy.


Author(s):  
Paolo Frumento ◽  
Nicola Salvati

AbstractApplying quantile regression to count data presents logical and practical complications which are usually solved by artificially smoothing the discrete response variable through jittering. In this paper, we present an alternative approach in which the quantile regression coefficients are modeled by means of (flexible) parametric functions. The proposed method avoids jittering and presents numerous advantages over standard quantile regression in terms of computation, smoothness, efficiency, and ease of interpretation. Estimation is carried out by minimizing a “simultaneous” version of the loss function of ordinary quantile regression. Simulation results show that the described estimators are similar to those obtained with jittering, but are often preferable in terms of bias and efficiency. To exemplify our approach and provide guidelines for model building, we analyze data from the US National Medical Expenditure Survey. All the necessary software is implemented in the existing R package .


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