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