Browsing 1 - Oberwolfach Preprints (OWP) by MSC "62"
Now showing items 1-8 of 8
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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 ... -
Max-Linear Models on Infinite Graphs Generated by Bernoulli Bond Percolation
[OWP-2018-09] (Mathematisches Forschungsinstitut Oberwolfach, 2018-05-17)We extend previous work of max-linear models on finite directed acyclic graphs to infinite graphs, and investigate their relations to classical percolation theory. We formulate results for the oriented square lattice graph ... -
Non-Standard Behavior of Density Estimators for Sums of Squared Observations
[OWP-2008-07] (Mathematisches Forschungsinstitut Oberwolfach, 2008-03-11)It has been shown recently that, under an appropriate integrability condition, densities of functions of independent and identically distributed random variables can be estimated at the parametric rate by a local U-statistic, ... -
On the prediction of stationary functional time series
[OWP-2014-06] (Mathematisches Forschungsinstitut Oberwolfach, 2014-04-25)This paper addresses the prediction of stationary functional time series. Existing contributions to this problem have largely focused on the special case of first-order functional autoregressive processes because of their ... -
Positive Margins and Primary Decomposition
[OWP-2012-06] (Mathematisches Forschungsinstitut Oberwolfach, 2012)We study random walks on contingency tables with fixed marginals, corresponding to a (log-linear) hierarchical model. If the set of allowed moves is not a Markov basis, then there exist tables with the same marginals that ... -
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 ...