Digitale Wiskunde

DIMA specializes in discrete and continuous techniques for data science. We focus in particular on the mathematical foundations for digital data acquisition, representation, analysis, communication and security.

Research Tracks:

• Discrete mathematics
• Harmonic and wavelet analysis
• Sparse representations and other dimensionality reduction techniques
• Fractional stochastic processes
• Mathematical and statistical aspects of AI and machine learning
• Computational aspects of parameter estimates in data-driven applications
• Coding theory
• Cryptography

Applications:

• Digital document analysis
• Digital painting analysis
• Quality assessment of digital images
• Digital forensics
• Graph signal processing and learning
• Fractional stochastic processes in insurance and big data
• Fractional order time series analysis originating from fractionalized Ornstein-Uhlenbeck processes for dielectric spectroscopy
• Privacy and secuirty 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