4.2k citations · 4.6k across the 9 of their papers we have counts for
9 papers
Independent components in spectroscopic analysis of complex mixtures
Yulia B. Monakhova, Sergey A. Astakhov, Alexander Kraskov +1
We applied two methods of "blind" spectral decomposition (MILCA and SNICA) to quantitative and qualitative analysis of UV absorption spectra of several non-trivial mixture types. B…
MIC: Mutual Information based hierarchical Clustering
Alexander Kraskov, Peter Grassberger
Clustering is a concept used in a huge variety of applications. We review a conceptually very simple algorithm for hierarchical clustering called in the following the {\it mutual i…
Monte Carlo Algorithm for Least Dependent Non-Negative Mixture Decomposition
Sergey A. Astakhov, Harald Stögbauer, Alexander Kraskov +1
We propose a simulated annealing algorithm (called SNICA for "stochastic non-negative independent component analysis") for blind decomposition of linear mixtures of non-negative so…
Spectral Mixture Decomposition by Least Dependent Component Analysis
Sergey A. Astakhov, Harald Stögbauer, Alexander Kraskov +1
A recently proposed mutual information based algorithm for decomposing data into least dependent components (MILCA) is applied to spectral analysis, namely to blind recovery of con…
Extracting Phases from Aperiodic Signals
Alexander Kraskov, Thomas Kreuz, Ralph G. Andrzejak +3
We demonstrate by means of a simple example that the arbitrariness of defining a phase from an aperiodic signal is not just an academic problem, but is more serious and fundamental…
Least Dependent Component Analysis Based on Mutual Information
Harald Stögbauer, Alexander Kraskov, Sergey A. Astakhov +1
We propose to use precise estimators of mutual information (MI) to find least dependent components in a linearly mixed signal. On the one hand this seems to lead to better blind so…