• Detecting Ineffective Features for Pattern Recognition 

      [OWP-2017-26] Györfi, László; Walk, Harro (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] Györfi, László; Döring, Maik; Walk, Harro (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] Klüppelberg, Claudia; Sönmez, Ercan (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] Schick, Anton; Wefelmeyer, Wolfgang (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] Aue, Alexander; Dubart Norinho, Diogo; Hörmann, Siegfried (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] Kahle, Thomas; Rauh, Johannes; Sullivant, Seth (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] Györfi, László; Walk, Harro (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] Györfi, László; Walk, Harro (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 ...