2019
DOI: 10.3390/e21040376
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Between Nonlinearities, Complexity, and Noises: An Application on Portfolio Selection Using Kernel Principal Component Analysis

Abstract: This paper discusses the effects of introducing nonlinear interactions and noise-filtering to the covariance matrix used in Markowitz’s portfolio allocation model, evaluating the technique’s performances for daily data from seven financial markets between January 2000 and August 2018. We estimated the covariance matrix by applying Kernel functions, and applied filtering following the theoretical distribution of the eigenvalues based on the Random Matrix Theory. The results were compared with the traditional li… Show more

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Cited by 21 publications
(9 citation statements)
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“…erefore, the PCA algorithm is used to reduce the dimensions of the original data before model training. More information about PCA is available in [28][29][30]. Under the premise of affecting validity of the data as little as possible, the feature dimension is reduced as much as possible and the training efficiency is improved.…”
Section: Network Fault Data Preprocessingmentioning
confidence: 99%
“…erefore, the PCA algorithm is used to reduce the dimensions of the original data before model training. More information about PCA is available in [28][29][30]. Under the premise of affecting validity of the data as little as possible, the feature dimension is reduced as much as possible and the training efficiency is improved.…”
Section: Network Fault Data Preprocessingmentioning
confidence: 99%
“…The matrix composed of eigenvectors can be converted into a new space to achieve dimensionality reduction of the original data set. More information about PCA is available in the literature [ 30 , 31 , 32 ].…”
Section: Analyzed States Of the Angle Grindermentioning
confidence: 99%
“…This is a summative article with high citations in the local data. Peng et al (2019) discussed the effect of introducing nonlinear interaction and noise filtering into the covariance matrix of the Markowitz portfolio allocation model and conduct an empirical analysis. Bai et al (2019) further compared the performance of the innovative robust portfolio method with the traditional Markowitz method by analyzing the portfolio of China's renewable resources stocks.…”
Section: Local Backward Main Pathmentioning
confidence: 99%