Application of Statistical K-Means Algorithm for University Academic Evaluation

With the globalization of higher education, academic evaluation is increasingly valued by the scientific and educational circles. Although the number of published papers of academic evaluation methods is increasing, previous research mainly focused on the method of assigning different weights for va...

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Main Authors: Daohua Yu, Xin Zhou, Yu Pan, Zhendong Niu, Huafei Sun
Format: Article
Language:English
Published: MDPI AG 2022-07-01
Series:Entropy
Subjects:
Online Access:https://www.mdpi.com/1099-4300/24/7/1004
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author Daohua Yu
Xin Zhou
Yu Pan
Zhendong Niu
Huafei Sun
author_facet Daohua Yu
Xin Zhou
Yu Pan
Zhendong Niu
Huafei Sun
author_sort Daohua Yu
collection DOAJ
description With the globalization of higher education, academic evaluation is increasingly valued by the scientific and educational circles. Although the number of published papers of academic evaluation methods is increasing, previous research mainly focused on the method of assigning different weights for various indicators, which can be subjective and limited. This paper investigates the evaluation of academic performance by using the statistical K-means (SKM) algorithm to produce clusters. The core idea is mapping the evaluation data from Euclidean space to Riemannian space in which the geometric structure can be used to obtain accurate clustering results. The method can adapt to different indicators and make full use of big data. By using the K-means algorithm based on statistical manifolds, the academic evaluation results of universities can be obtained. Furthermore, through simulation experiments on the top 20 universities of China with the traditional K-means, GMM and SKM algorithms, respectively, we analyze the advantages and disadvantages of different methods. We also test the three algorithms on a UCI ML dataset. The simulation results show the advantages of the SKM algorithm.
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spelling doaj.art-c740e60aeb694a68b1e05e7228b516332023-12-03T15:01:23ZengMDPI AGEntropy1099-43002022-07-01247100410.3390/e24071004Application of Statistical K-Means Algorithm for University Academic EvaluationDaohua Yu0Xin Zhou1Yu Pan2Zhendong Niu3Huafei Sun4School of Computer Science and Technology, Beijing Institute of Technology, Beijing 100081, ChinaSchool of Mathematics and Statistics, Beijing Institute of Technology, Beijing 100081, ChinaSchool of Mathematics and Statistics, Beijing Institute of Technology, Beijing 100081, ChinaSchool of Computer Science and Technology, Beijing Institute of Technology, Beijing 100081, ChinaSchool of Mathematics and Statistics, Beijing Institute of Technology, Beijing 100081, ChinaWith the globalization of higher education, academic evaluation is increasingly valued by the scientific and educational circles. Although the number of published papers of academic evaluation methods is increasing, previous research mainly focused on the method of assigning different weights for various indicators, which can be subjective and limited. This paper investigates the evaluation of academic performance by using the statistical K-means (SKM) algorithm to produce clusters. The core idea is mapping the evaluation data from Euclidean space to Riemannian space in which the geometric structure can be used to obtain accurate clustering results. The method can adapt to different indicators and make full use of big data. By using the K-means algorithm based on statistical manifolds, the academic evaluation results of universities can be obtained. Furthermore, through simulation experiments on the top 20 universities of China with the traditional K-means, GMM and SKM algorithms, respectively, we analyze the advantages and disadvantages of different methods. We also test the three algorithms on a UCI ML dataset. The simulation results show the advantages of the SKM algorithm.https://www.mdpi.com/1099-4300/24/7/1004statistical K-meansacademic evaluationstatistical manifoldclustering
spellingShingle Daohua Yu
Xin Zhou
Yu Pan
Zhendong Niu
Huafei Sun
Application of Statistical K-Means Algorithm for University Academic Evaluation
Entropy
statistical K-means
academic evaluation
statistical manifold
clustering
title Application of Statistical K-Means Algorithm for University Academic Evaluation
title_full Application of Statistical K-Means Algorithm for University Academic Evaluation
title_fullStr Application of Statistical K-Means Algorithm for University Academic Evaluation
title_full_unstemmed Application of Statistical K-Means Algorithm for University Academic Evaluation
title_short Application of Statistical K-Means Algorithm for University Academic Evaluation
title_sort application of statistical k means algorithm for university academic evaluation
topic statistical K-means
academic evaluation
statistical manifold
clustering
url https://www.mdpi.com/1099-4300/24/7/1004
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AT zhendongniu applicationofstatisticalkmeansalgorithmforuniversityacademicevaluation
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