We are looking for candidates for a pre-doctoral contract associated with the research project “Advanced Statistics and Data Science 2: New data, new models, new challenges” Project PID2023-148158OB-I00 funded by MCIU /AEI /10.13039/501100011033 / FEDER, UE. The main objective of this project is to address the challenges posed by new data sets (increasingly large and complex) and new ways of analyzing them (more flexible but less transparent than traditional statistical techniques). We propose to pursue five lines of research: (1) New directions in the interpretability and explainability of predictive models. (2) Data from wearable devices: A functional approach to data analysis. (3) EEG data: Contributions from functional data analysis and interpretability. (4) Data from graphs: Bayesian prediction and modelling. (5) Non-linear dimensionality reduction methods for big data.