DIMA: Digital Mathematics

Welcome at the Research Group Digital Mathematics (DIMA) which is affiliated with the VUB AI Lab and the Royal Library of Belgium through the KBR Data Science 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:

• Functional analysis, in particular harmonic and wavelet analysis
• Discrete mathematics, in particular graph, group and representation theory
• Statistics and stochastic processes
• Artificial Intelligence, in particular machine learning

for

• Sparse representations and other dimensionality reduction techniques
• Algebraic combinatorics
• Spectral graph theory
• Coding theory
• Cryptography 
• Computational aspects of parameter estimates in data-driven applications
• Computer vision
• Natural Language Processing

Applications:

• Pattern recognition
• Graph signal processing and learning
• Digital document processing
• Digital painting analysis
• Quality assessment of digital images
• Library/Archive/Museum services
• Digital forensics
• Prediction of oocyte quality/pregnancy success 
• 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