Search Results for author: Danny Panknin

Found 5 papers, 1 papers with code

Optimal Sampling Density for Nonparametric Regression

no code implementations25 May 2021 Danny Panknin, Klaus Robert Müller, Shinichi Nakajima

Assuming that a small number of initial samples are available, we derive the optimal training density that minimizes the generalization error of local polynomial smoothing (LPS) with its kernel bandwidth tuned locally: We adopt the mean integrated squared error (MISE) as a generalization criterion, and use the asymptotic behavior of the MISE as well as the locally optimal bandwidths (LOB) - the bandwidth function that minimizes MISE in the asymptotic limit.

Active Learning regression

Local Function Complexity for Active Learning via Mixture of Gaussian Processes

no code implementations27 Feb 2019 Danny Panknin, Stefan Chmiela, Klaus-Robert Müller, Shinichi Nakajima

Inhomogeneities in real-world data, e. g., due to changes in the observation noise level or variations in the structural complexity of the source function, pose a unique set of challenges for statistical inference.

Active Learning GPR +1

Validity of time reversal for testing Granger causality

no code implementations25 Sep 2015 Irene Winkler, Danny Panknin, Daniel Bartz, Klaus-Robert Müller, Stefan Haufe

Inferring causal interactions from observed data is a challenging problem, especially in the presence of measurement noise.

valid

Fast Cross-Validation via Sequential Testing

1 code implementation11 Jun 2012 Tammo Krueger, Danny Panknin, Mikio Braun

With the increasing size of today's data sets, finding the right parameter configuration in model selection via cross-validation can be an extremely time-consuming task.

Model Selection

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