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- W2944728171 abstract "Abstract We consider n × n random kernel matrix A n whose entries are of form F ( X i , X j ) − u n δ i j ∑ k F ( X i , X k ) with F ( X , Y ) = f ( X ′ Y ∕ p ) or f ( | X − Y | 2 ∕ p ) for i.i.d. random vectors X i = Σ p 1 ∕ 2 Y i ∈ R p . Here f is a real-valued function, u n is any real number which is allowed to change with n , Σ p is a p × p positive semi-definite matrix and the entries of Y i ’s are i.i.d. mean 0, variance 1 and have bounded m ( m > 4 ) absolute moments. Explicit limits of spectral distributions of generalized random kernel matrices are obtained in the case of p ∕ n → γ ∈ ( 0 , ∞ ) as p , n → ∞ ." @default.
- W2944728171 created "2019-05-16" @default.
- W2944728171 creator A5051681821 @default.
- W2944728171 date "2019-09-01" @default.
- W2944728171 modified "2023-09-24" @default.
- W2944728171 title "Spectral distribution of large generalized random kernel matrices" @default.
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- W2944728171 doi "https://doi.org/10.1016/j.spl.2019.04.016" @default.
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