DIMA: Digital Mathematics

Welcome at the Research Group Digital Mathematics (DIMA) which is affiliated with the AI Lab.

DIMA specializes in mathematics for digital data science. The word "digital" is derived from the Latin word "digitus" and hence refers to finger-counting used to enumerate objects. Data or mathematical techniques that are represented by a discrete number of values are therefore called "digital". We focus in particular on the mathematical foundations for digital data modelling, analysis and (secure) communication.

Research Tracks:

• Applied functional analysis, in particular harmonic and (discrete) wavelet analysis
• Statistics and stochastic processes
• Discrete mathematics, in particular graph, group and representation theory

for

• Sparse representations and other dimensionality reduction techniques
• AI, in particular machine learning
• Computational aspects of parameter estimates in data-driven applications
• Algebraic combinatorics
• Spectral graph theory
• Coding theory
• Cryptography 

Applications:

• Pattern recognition
• Graph signal processing and learning
• Digital document/layout analysis
• Digital painting analysis
• Quality assessment of digital images
• Library/Archive/Museum services
• Digital forensics
• Fractional stochastic processes in insurance and big data
• Fractional order time series analysis originating from fractionalized Ornstein-Uhlenbeck processes for dielectric spectroscopy
• MDS and subspace codes, q-designs
• Privacy and security in machine learning, distributed networks and cloud computing
• Development and security of high-speed key distribution using chaos synchronisation of photonics sources
• Post-quantum cryptography, in particular the hidden subgroup problem and code based cryptography

Research output and more