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• W4320729311 abstract "A model of learning as a generalization of the Eigen’s quasispecies model in population genetics is introduced. Eigen’s model is considered as a matrix Riccati equation. The error catastrophe in the Eigen’s model (when the purifying selection becomes ineffective) is discussed as the divergence of the Perron–Frobenius eigenvalue of the Riccati model in the limit of large matrices. A known estimate for the Perron–Frobenius eigenvalue provides an explanation for observed patterns of genomic evolution. We propose to consider the error catastrophe in Eigen’s model as an analog of overfitting in learning theory; this gives a criterion for the presence of overfitting in learning." @default.
• W4320729311 created "2023-02-15" @default.
• W4320729311 creator A5086806487 @default.
• W4320729311 date "2023-02-14" @default.
• W4320729311 modified "2023-10-14" @default.
• W4320729311 title "Learning by Population Genetics and Matrix Riccati Equation" @default.
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• W4320729311 doi "https://doi.org/10.3390/e25020348" @default.
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