54 citations · 169 across the 8 of their papers we have counts for
8 papers
A Spectral Theory of Grokking: Weight Decay induces Feature Learning
Lenz Pracher, Pascal de Jong, Oskar Lieshaus +2
In grokking an early fit to the training data separates from a much later improvement in generalization. During this delay, training can move from a fixed neural tangent kernel (NT…
Long-range interactions and disorder facilitate pattern formation in spatial complex systems
Fabrizio Olmeda, Steffen Rulands
Complex systems with global interactions tend to be stable if interactions between components are sufficiently homogeneous. In biological systems, which often have small copy numbe…
Universality of clone dynamics during tissue development
Steffen Rulands, Fabienne Lescroart, Samira Chabab +7
The emergence of complex organs is driven by the coordinated proliferation, migration and differentiation of precursor cells. The fate behaviour of these cells is reflected in the…
Specialization and Bet Hedging in Heterogeneous Populations
Steffen Rulands, David Jahn, Erwin Frey
Phenotypic heterogeneity is a strategy commonly used by bacteria to rapidly adapt to changing environmental conditions. Here, we study the interplay between phenotypic heterogeneit…
Range Expansion of Heterogeneous Populations
Matthias Reiter, Steffen Rulands, Erwin Frey
Risk spreading in bacterial populations is generally regarded as a strategy to maximize survival. Here, we study its role during range expansion of a genetically diverse population…
Global attractors and extinction dynamics of cyclically competing species
Steffen Rulands, Alejandro Zielinski, Erwin Frey
Transitions to absorbing states are of fundamental importance in non-equilibrium physics as well as ecology. In ecology, absorbing states correspond to the extinction of species. W…
Stability of localized wave fronts in bistable systems
Steffen Rulands, Ben Klünder, Erwin Frey
Localized wave fronts are a fundamental feature of biological systems from cell biology to ecology. Here, we study a broad class of bistable models subject to self-activation, degr…
Three-fold way to extinction in populations of cyclically competing species
S. Rulands, T. Reichenbach, E. Frey
Species extinction occurs regularly and unavoidably in ecological systems. The time scales for extinction can broadly vary and inform on the ecosystem's stability. We study the spa…