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math.DS2022★ 4 cited
Learning Koopman eigenfunctions of stochastic diffusions with optimal importance sampling and ISOKANN
Alexander Sikorski, Enric Ribera Borrell, Marcus Weber
For stochastic diffusion processes the dominant eigenfunctions of the corresponding Koopman operator contain important information about the slow-scale dynamics, that is, about the…
stat.ME2022★ 4 cited
Spectral clustering of Markov chain transition matrices with complex eigenvalues
Anna-Simone Frank, Alexander Sikorski, Susanna Röblitz
The Robust Perron Cluster Analysis (PCCA+) has become a popular spectral clustering algorithm for coarse-graining transition matrices of nearly decomposable Markov chains with tran…