Study of Various Dimensionality Reduction and Classification Algorithms on High Dimensional Dataset

Smit Shah, S. Joshi
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Abstract

A potential drawback of huge data is that it makes analysis of the data hard and also computationally infeasible. Health care, finance, retail, and education are a few of the data mining applications that involve very high-dimensional data. A large number of dimensions introduce a popular problem of “Curse of Dimensionality”. This problem makes it difficult to perform classification and engenders lower accuracy of machine learning classifiers. This paper computes a threshold value (35%) to which if the data is reduced, the best accuracy can be obtained. Further, this research work considers an image dataset of very high dimensions on which different dimensionality reduction techniques such as PCA, LDA, and SVD are performed to find out the best dimension fit for an image dataset. Also, various ML classification algorithms, such as Logistic Regression, Random Forest Classifier, Naive Bayes, and SVM are applied to find out the best classifier for the dimensionally reduced dataset. Finally, this research work has concluded that, PCA+SVM, LDA+Random Forest, and SVD+SVM have produced the best results out of all the possible combinations from the comparative study.
高维数据集的各种降维与分类算法研究
海量数据的一个潜在缺点是,它使数据分析变得困难,而且在计算上也不可行。医疗保健、金融、零售和教育是一些涉及高维数据的数据挖掘应用程序。大量的维度引入了一个流行的问题“维度诅咒”。这个问题给分类带来困难,导致机器学习分类器的准确率较低。本文计算了一个阈值(35%),如果将数据减少到该阈值,则可以获得最佳精度。此外,本研究还考虑了一个非常高维的图像数据集,在该数据集上使用不同的降维技术(如PCA、LDA和SVD)来寻找图像数据集的最佳维值拟合。此外,各种ML分类算法,如逻辑回归,随机森林分类器,朴素贝叶斯和支持向量机被应用于寻找最佳分类器的降维数据集。最后,本研究工作通过对比研究得出,在所有可能的组合中,PCA+SVM、LDA+Random Forest和SVD+SVM的效果最好。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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