TY  - JOUR
A1  - Nolte, Guido
A1  - Meinecke, Frank C.
A1  - Ziehe, Andreas
A1  - Müller, Klaus-Robert
T1  - Identifying interactions in mixed and noisy complex systems
N2  - We present a technique that identifies truly interacting subsystems of a complex system from multichannel data if the recordings are an unknown linear and instantaneous mixture of the true sources. The method is valid for arbitrary noise structure. For this, a blind source separation technique is proposed that diagonalizes antisymmetrized cross- correlation or cross-spectral matrices. The resulting decomposition finds truly interacting subsystems blindly and suppresses any spurious interaction stemming from the mixture. The usefulness of this interacting source analysis is demonstrated in simulations and for real electroencephalography data
Y1  - 2006
UR  - http://pre.aps.org/
U6  - https://doi.org/10.1103/Physreve.73.051913
ER  - 
TY  - JOUR
A1  - Harmeling, Stefan
A1  - Dornhege, Guido
A1  - Tax, David
A1  - Meinecke, Frank C.
A1  - Müller, Klaus-Robert
T1  - From outliers to prototypes : Ordering data
N2  - We propose simple and fast methods based on nearest neighbors that order objects from high-dimensional data sets from typical points to untypical points. On the one hand, we show that these easy-to-compute orderings allow us to detect outliers (i.e. very untypical points) with a performance comparable to or better than other often much more sophisticated methods. On the other hand, we show how to use these orderings to detect prototypes (very typical points) which facilitate exploratory data analysis algorithms such as noisy nonlinear dimensionality reduction and clustering. Comprehensive experiments demonstrate the validity of our approach.
Y1  - 2006
UR  - http://www.sciencedirect.com/science/journal/09252312
U6  - https://doi.org/10.1016/j.neucom.2005.05.015
SN  - 0925-2312
ER  -