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由于数据被核化后不能还原, 使核方法的应用受到局限. 对此, 提出一种基于Multi-kernel 和KRR的数据还原算法. 首先, 通过同类数据中已知数据进行多次核化迭代, 使已知数据在超高维欧氏空间中呈线性; 然后, 利用已知数据对同类未知数据进行线性表示, 并以Kernel ridge regression (KRR) 算法进行未知数据的回归; 最后实现数据还原. 选取Iris flower...
CONVERGENCE PROPERTIES OF MULTI-DIMENSIONAL NEAREST NEIGHBOR DENSITY ESTIMATES FOR THE CASE OF GENERAL KERNEL
N.N. estimate convergence rate bounded s
2007/8/7
In this paper we give weaker conditions to ensure the strong uniform consis-tency of multi-dimensional nearest neighbor (N.N.) estimates with non-uniform kernel and obtain the convergence rates of the...
CONSISTENCY FOR KERNEL ESTIMATE OF CONDITIONAL FUNCTION
onditional function kernel estimate im
2007/8/7
Let {(X_n, Y_n} be a -mixing sequence. On the basis of (X_1, Y_1 ),... ,(X_n, Y_n),E(β(Y)|X = x) is estimated by kernel estimators, approved kernel estimators and random window width estboators. Under...
A LAW OF THE ITERATED LOGARITHM FOR RANDOM WINDOW-WIDTH KERNEL ESTIMATOR OF A NONPARAMETRIC REGRESSION FUNCTION
Regression function random window-width
2007/8/7
In this paper we study the estimation of the regression function. We establish a law ofthe iterated logarithm for the random window-width kernel estimator and, as an application, for a nearest neighbo...
Let (X,Y) be a pair of R~d×R~1-valued random variables. In thispaper we investigate the asymptotic properties of the L_1-norm kernel estimator of the conditional median function of Y on X. Under appro...