Now showing items 1-4 of 4

• #### Detecting Ineffective Features for Pattern Recognition ﻿

[OWP-2017-26] (Mathematisches Forschungsinstitut Oberwolfach, 2017-10-17)
For a binary classification problem, the hypothesis testing is studied, that a component of the observation vector is not effective, i.e., that component carries no information for the classification. We introduce nearest ...
• #### Exact Rate of Convergence of k-Nearest-Neighbor Classification Rule ﻿

[OWP-2017-25] (Mathematisches Forschungsinstitut Oberwolfach, 2017-10-16)
A binary classification problem is considered. The excess error probability of the k-nearest neighbor classification rule according to the error probability of the Bayes decision is revisited by a decomposition of the ...
• #### Rate of Convergence of the Density Estimation of Regression Residual ﻿

[OWP-2012-08] (Mathematisches Forschungsinstitut Oberwolfach, 2012)
Consider the regression problem with a response variable $Y$ and with a $d$-dimensional feature vector $X$. For the regression function $m(x) = \mathbb{E}\{Y|X = x\}$, this paper investigates methods for estimating the ...
• #### Strongly Consistent Density Estimation of Regression Redidual ﻿

[OWP-2012-07] (Mathematisches Forschungsinstitut Oberwolfach, 2012)
Consider the regression problem with a response variable $Y$ and with a $d$-dimensional feature vector $X$. For the regression function $m(x) = \mathbb{E}\{Y|X = x\}$, this paper investigates methods for estimating the ...