Fast, finite, accurate and optimal WASD neuronet versus slow, infinite, inaccurate and rough BP neuronet illustrated via russia population prediction

Jianxi Liu, Yunong Zhang, Zhengli Xiao, Tianjian Qiao, Hongzhou Tan
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引用次数: 1

Abstract

Russia population problem attracts great concerns to the future trend of population and the development of the nation. Conventional researches on Russia population prediction are usually based on the standard cohort-component method. Such a method only allows for several factors (fertility, mortality and migration rates), and then leads to the lack of all-sidedness in the prediction results. With outstanding generalization ability, the feedforward neuronet is considered to be a more appropriate substitute. Besides, the back-propagation (BP) is of the most widely-used feedforward neuronet. As the conventional back-propagation neuronet has some inherent weaknesses, in this paper, two types of improved feedforward neuronet are constructed for the Russia population prediction. More specifically, a type of 3-layer power-activated neuronet (PAN) equipped with the BP algorithm (BP-PAN) and a type of 3-layer PAN equipped with the weights-and-structure-determination (WASD) algorithm (WASD-PAN) are built on the basis of 2013-year (from 1AD to 2013AD) historical population data for the Russia population prediction. By a lot of numerical experiments, the future declining trend of Russia population in the next decade is predicted with the highest possibility. In addition, via the Russia population prediction, the comparisons on the performance between the WASD neuronet and BP neuronet are conducted and summarized.
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快速,有限,准确和最优的WASD神经网络与缓慢,无限,不准确和粗糙的BP神经网络通过俄罗斯人口预测说明
俄罗斯人口问题是未来人口趋势和国家发展的重要问题。传统的俄罗斯人口预测研究通常基于标准的队列成分法。这种方法只考虑了几个因素(生育率、死亡率和迁移率),导致预测结果缺乏全面性。前馈神经网络具有出色的泛化能力,被认为是一种更合适的替代方法。此外,反向传播(BP)是应用最广泛的前馈神经网络。针对传统的反向传播神经网络存在的固有缺陷,本文构建了两种改进的前馈神经网络用于俄罗斯人口预测。更具体地说,基于2013年(公元1年至公元2013年)历史人口数据,构建了一种配备BP算法的三层功率激活神经网络(PAN) (BP-PAN)和一种配备权重和结构确定(WASD)算法的三层神经网络(WASD-PAN),用于俄罗斯人口预测。通过大量的数值实验,以最大的可能性预测了未来十年俄罗斯人口的下降趋势。此外,通过俄罗斯人口预测,对WASD神经网络和BP神经网络的性能进行了比较和总结。
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