279 citations · 465 across the 9 of their papers we have counts for
9 papers
Probabilistic Foundations of Fuzzy Simplicial Sets for Nonlinear Dimensionality Reduction
Janis Keck, Lukas Silvester Barth, Fatemeh +3
Fuzzy simplicial sets have become an object of interest in dimensionality reduction and manifold learning, most prominently through their role in UMAP. However, their definition th…
Information Geometry, Jordan Algebras, and a Coadjoint Orbit-Like Construction
Florio M. Ciaglia, Jürgen Jost, Lorenz Schwachhöfer
Jordan algebras arise naturally in (quantum) information geometry, and we want to understand their role and their structure within that framework. Inspired by Kirillov's discussion…
Curvature-based Methods for Brain Network Analysis
Melanie Weber, Johannes Stelzer, Emil Saucan +3
The human brain forms functional networks on all spatial scales. Modern fMRI scanners allow to resolve functional brain data in high resolutions, allowing to study large-scale netw…
Regularity of Solutions of the Nonlinear Sigma Model with Gravitino
Jürgen Jost, Enno Keßler, Jürgen Tolksdorf +2
We propose a geometric setup to study analytic aspects of a variant of the super symmetric two-dimensional nonlinear sigma model. This functional extends the functional of Dirac-ha…
Challenges in experimental data integration within genome-scale metabolic models
Pierre-Yves Bourguignon, Areejit Samal, François Képès +2
A report of the meeting "Challenges in experimental data integration within genome-scale metabolic models", Institut Henri Poincaré, Paris, October 10-11 2009, organized by the CNR…
Synchronization in discrete-time networks with general pairwise coupling
Frank Bauer, Fatihcan M. Atay, Juergen Jost
We consider complete synchronization of identical maps coupled through a general interaction function and in a general network topology where the edges may be directed and may carr…