2021
DOI: 10.1002/nla.2370
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Summation pollution of principal component analysis and an improved algorithm for location sensitive data

Abstract: Principal component analysis (PCA) is widely used for dimensionality reduction and unsupervised learning. The reconstruction error is sometimes large even when a large number of eigenmode is used. In this paper, we show that this unexpected error source is the pollution effect of a summation operation in the objective function of the PCA algorithm. The summation operator brings together unrelated parts of the data into the same optimization and the result is the reduction of the accuracy of the overall algorit… Show more

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Cited by 6 publications
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“…Principle component analysis (PCA) is often used for dimensionality reduction compression of data [25]. Its core idea is to map the n-dimensional features to k-dimensional space [26].…”
Section: Signal Feature Extraction and Optimizationmentioning
confidence: 99%
“…Principle component analysis (PCA) is often used for dimensionality reduction compression of data [25]. Its core idea is to map the n-dimensional features to k-dimensional space [26].…”
Section: Signal Feature Extraction and Optimizationmentioning
confidence: 99%