positive definite kernel 中文意思是什麼
positive definite kernel
解釋
正定核-
For the given sample points, and matrix formed by covariance function with sample points as parameters, when the number of sample points approaches infinite, it is proven that this matrix spectrum will approach the spectral approach theorem for positive - definite kernel of integral equation
對給定的樣本點，由樣本點為變量的協方差函數構成的矩陣，當樣本點個數趨于無窮大時，證明此矩陣譜逼近於積分方程正定核的譜逼近定理。 -
We proof the covariance function of covariance stationary processes is equivalent with mercer kernel function. that is, the covariance function of covariance stationary processes is a mercer kernel function ; in reverse, for a given mercer kernel function, there exists a covariance stationary processes, and the covariance function corresponded to this covariance stationary processes is the given symmetry positive - definite kernel function. it means that the covariance function is equivalent to symmetry positive - definite kernel function
首先建立了協方差平穩過程的協方差函數與積分方程中對稱正定mercer核函數的等價關系，即協方差平穩過程的協方差函數是對稱正定mercer核函數，反過來，對給定的對稱正定核函數，證明了存在協方差平穩過程，使得此協方差平穩過程對應的協方差函數恰好為給定的對稱正定核函數，這說明協方差函數和對稱正定核函數是等價的。
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