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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…
Simulations of grafted polymers in a good solvent
Peter Grassberger
We present improved simulations of three-dimensional self avoiding walks with one end attached to an impenetrable surface on the simple cubic lattice. This surface can either be a-…
Violating conformal invariance: Two-dimensional clusters grafted to wedges, cones, and branch points of Riemann surfaces
Hsiao-Ping Hsu, Walter Nadler, Peter Grassberger
We present simulations of 2-d site animals on square and triangular lattices in non-trivial geomeLattice animals are one of the few critical models in statistical mechanics violati…
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…
Monte Carlo Protein Folding: Simulations of Met-Enkephalin with Solvent-Accessible Area Parameterizations
Hsiao-Ping Hsu, Bernd A. Berg, Peter Grassberger
Treating realistically the ambient water is one of the main difficulties in applying Monte Carlo methods to protein folding. The solvent-accessible area method, a popular method fo…
Simulations of lattice animals and trees
Hsiao-Ping Hsu, Walter Nadler, Peter Grassberger
The scaling behaviour of randomly branched polymers in a good solvent is studied in two to nine dimensions, using as microscopic models lattice animals and lattice trees on simple…
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…