activity
20102022
most citedKey bifurcations of bursting polyrhythms in 3-cell central pattern generators

76 citations · 331 across the 11 of their papers we have counts for

collaborators

11 papers

eess.SP2022★ 45 cited

Advanced sleep spindle identification with neural networks

Lars Kaulen, Justus T. C. Schwabedal, Jules Schneider +2

Sleep spindles are neurophysiological phenomena that appear to be linked to memory formation and other functions of the central nervous system, and that can be observed in electroe…

q-bio.QM2021★ 25 cited

Automated scoring of pre-REM sleep in mice with deep learning

Niklas Grieger, Justus T. C. Schwabedal, Stefanie Wendel +2

Reliable automation of the labor-intensive manual task of scoring animal sleep can facilitate the analysis of long-term sleep studies. In recent years, deep-learning-based systems,…

cs.LG2020

Differentially Private Generation of Small Images

Justus T. C. Schwabedal, Pascal Michel, Mario S. Riontino

We explore the training of generative adversarial networks with differential privacy to anonymize image data sets. On MNIST, we numerically measure the privacy-utility trade-off us…

q-bio.QM2018★ 9 cited

Automated Classification of Sleep Stages and EEG Artifacts in Mice with Deep Learning

Justus T. C. Schwabedal, Daniel Sippel, Moritz D. Brandt +1

Sleep scoring is a necessary and time-consuming task in sleep studies. In animal models (such as mice) or in humans, automating this tedious process promises to facilitate long-ter…

eess.SP2018★ 6 cited

Addressing Class Imbalance in Classification Problems of Noisy Signals by using Fourier Transform Surrogates

Justus T. C. Schwabedal, John C. Snyder, Ayse Cakmak +2

Randomizing the Fourier-transform (FT) phases of temporal-spatial data generates surrogates that approximate examples from the data-generating distribution. We propose such FT surr…

nlin.CD2015★ 22 cited

Qualitative and Quantitative Stability Analysis of Penta-rhythmic Circuits

Justus T. C. Schwabedal, Drake E. Knapper, A. L. Shilnikov

Inhibitory circuits of relaxation oscillators are often-used models for the dynamics of biological networks. We present a qualitative and quantitative stability analysis of such a…

nlin.CD2013★ 76 cited

Key bifurcations of bursting polyrhythms in 3-cell central pattern generators

Jeremy Wojcik, Robert Clewley, Justus Schwabedal +1

We identify and describe the key qualitative rhythmic states in various 3-cell network motifs of a multifunctional central pattern generator (CPG). Such CPGs are neural microcircui…

nlin.CD2013★ 72 cited

Phase Description of Stochastic Oscillations

Justus T. C. Schwabedal, Arkady Pikovsky

We introduce an invariant phase description of stochastic oscillations by generalizing the concept of standard isophases. The average isophases are constructed as sections in the s…

nlin.CD2011★ 33 cited

Optimal Phase Description of Chaotic Oscillators

Justus T. C. Schwabedal, Arkady Pikovsky, Björn Kralemann +1

We introduce an optimal phase description of chaotic oscillations by generalizing the concept of isochrones. On chaotic attractors possessing a general phase description, we define…

nlin.CD2010★ 12 cited

Effective phase description of noise-perturbed and noise-induced oscillations

Justus T. C. Schwabedal, Arkady Pikovsky

An effective description of a general class of stochastic phase oscillators is presented. For this, the effective phase velocity is defined either by invariant probability density…

nlin.CD2010★ 31 cited

Effective phase dynamics of noise-induced oscillations in excitable systems

Justus T. C. Schwabedal, Arkady Pikovsky

We develop an effective description of noise-induced oscillations based on deterministic phase dynamics. The phase equation is constructed to exhibit correct frequency and distribu…