From Gauge Theory to Neural Networks via Dynamical Systems

A deeper understanding of dynamical systems and related mathematical theories can lead to revolutionary new machine learning methods, architectures and paradigms.

Research funded by FWF-NCN Mozart Grant I-5015N

Using different aspects of finite and infinite differential geometry, we dive into a better understanding of application-oriented data, to provide low resource consumption solutions.

Research funded by AI Mission Austria PAT1179524 

For manifolds of anatomical shapes, a key problem in computational anatomy is to survey and forecast the evolution of shapes from databases of medical images. We use geometry-aware data analysis to better compare, diagnose and predict patient conditions and disease progression.

Automatic Pattern Grading for Sustainable individualized  fashion

Understanding how the stretch of fabric influences the design of a pattern is  relevant not only for Garment Design but also for Computer Graphics. Geometrically this is related to quasi-conformal maps and immersions of pieces of fabric in the 3D-space.

Automatic Generation of VR content for Education

Virtual reality, when used correctly, can enhance teaching experiences and provide information that may be difficult to convey through traditional channels. Helping lecturers to create VR content using AI is the aim of this research direction.

Understanding and measuring the parameters of our professional lifes as dynamic systems

Not everyone has the same starting point in life. Differences in environment, resources, beliefs, obstacles, awards etc. have a major influence on our development and our trajectory. Quantifying the external forces that work in our favour or against us will raise awareness on discrimination intensities.