Research – fundamental/theoretical as well as application oriented- is performed in the domain of (multi)linear algebra, (non)linear signal analysis, classification and system identification with special focus to the development of numerically reliable and robust algorithms for improving medical diagnostics. In this domain the group has built up an international reputation. In the field of (multi)linear algebra, the Total Least Squares (TLS) optimization technique has been investigated, as well as further generalizations and applications. More recently, attention is focused to numerical tensor algorithms and applications. Medical applications under study are: quantification of quantification of metabolite concentrations using in-vivo Magnetic Resonance Spectroscopic (MRS) data and images, quantification of brain oxygenation and autoregulation in neonates using (functional) Near-Infrared Spectroscopy, quantification of cardiovascular dynamics and heart-rate variability analysis, event-related potential analysis using EEG, stress monitoring using EMG, detection and localization of epileptic seizures based on scalp-EEG monitoring, deep brain recording and stimulation and preoperative classification and prognosis of (brain, ovarian, prostate) tumours.

Recent directions in which the group evolves can be summarized as : tensorial extensions of matrix based signal analysis techniques (such as lower rank approximations, Principal and Independent Component Analysis) and matrix decompositions (SVD like), and the development of corresponding numerical tensor based algorithms and their applications in biomedical multimodal and multichannel processing. Applications include the integrated multimodal data processing, analysis and decision support for simultaneously acquired biomedical data such as EEG, MEG, ECG, EMG, EOG, fMRI, MRSI, MRI, PET and SPECT. In particular, the following applications are under study.

• the integration of EEG and fMRI in the study of cognitive processes and disturbances,
• the integration of EEG, ECG, EOG, and MRI and ultrasound imaging for neonatal diagnostics,
• the combination of different MRSI acquisitions together with MRI of different contrasts for brain tumour diagnostics