Research in progress

There are many issues I am currently working on, in collaboration with some colleagues and several enthusiastic students:

• A tutorial (and possibly new methods) for fixing/reconstructing non-PSD matrices
• The integration of instance weighing methods with feature weighing methods
• The application of feature selection methods to biomedical problems:
• in spectral data (project AIDTumour for diagnosis of brain tumours using Magnetic Resonance Spectroscopy data)
• in microarray gene expression data
• The similarity neural network, a generalization of the RBF for supervised learning problems and its development into a deep neural network
  
• Development and understanding of new kernels for kernel-based methods, specifically:
• kernels for categorical features
• kernels able to handle missing data (without imputation)
• kernels for real-valued vectorial data alternative to the RBF kernel
  
• kernels for fuzzy features
• aggregation of kernels beyond arithmetic means
  
• Machine learning methods (and software) for the Microbial Source Tracking problem
  

On the drawing board:

• Development of analytical solutions for the regularization parameter in Tikhonov regularization
• Theoretical frameworks for similarity measures
  
• Feature selection methods based on full multivariate binary distributions

If you feel interested in any of these topics, please do contact me.