25 citations · 54 across the 9 of their papers we have counts for
6 papers · 1 filter
The Complexity of Comparative Text Analysis -- "The Gardener is always the Murderer" says the Fourth Machine
Marcus Weber, Konstantin Fackeldey
There is a heated debate about how far computers can map the complexity of text analysis compared to the abilities of the whole team of human researchers. A "deep" analysis of a gi…
Markov models from the Square Root Approximation of the Fokker-Planck equation: calculating the grid-dependent flux
Luca Donati, Marcus Weber, Bettina G. Keller
Molecular dynamics are extremely complex, yet understanding the slow components of their dynamics is essential to understanding their macroscopic properties. To achieve this, one m…
The Augmented Jump Chain -- a sparse representation of time-dependent Markov jump processes
Alexander Sikorski, Marcus Weber, Christof Schütte
Modern methods of simulating molecular systems are based on the mathematical theory of Markov operators with a focus on autonomous equilibrated systems. However, non-autonomous phy…
Analyzing Raman Spectral Data without Separability Assumption
Konstantin Fackeldey, Jonas Röhm, Amir Niknejad +2
Raman spectroscopy is a well established tool for the analysis of vibration spectra, which then allow for the determination of individual substances in a chemical sample, or for th…
Computing the minimal rebinding effect for non-reversible processes
Susanne Röhl, Marcus Weber, Konstantin Fackeldey
The aim of this paper is to investigate the rebinding effect, a phenomenon describing a "short-time memory" which can occur when projecting a Markov process onto a smaller state sp…
A novel *R-based perspective on solving ordinary differential equations
Marcus Weber
The real numbers, it is taught at universities, correspond to our idea of a continuum, although the hyperreal numbers are located ``in between'' the real numbers. The number $x + d…