Functional data analysis and kernel methods.
Distributional data analysis in wereable data analysis.
Uncertainty quantification: Conformal prediction.
Statistical analysis in metric spaces
Causal inference in digital medicine
Survival analysis with machine learning models
Missing and survey data
Empirical process theory and U-statistics
Relevant applications in digital and personalized medicine, diabetes, and physical activity
Multilevel models and reliability analysis
Multivariate scalar on multidimensional distribution regression with application to modeling the association between physical activity and cognitive functions*
*Authors:* Ghosal, Rahul; Matabuena, Marcos.
*Source:* Biometrical Journal, 66(7): e202400042, 2024 (Wiley Online Library).
*Relevance:* First paper integrating multidimensional functional distributional representations as predictors in compositional data, combining semi-parametric flexibility with interpretability.
Denoising data with measurement error using a reproducing kernel-based diffusion model*
*Authors:* Yi, Mingyang; Matabuena, Marcos; Wang, Ruoyu.
*Source:* arXiv preprint arXiv:2501.00212, 2024.
*Relevance:* Proposes an elegant solution to measurement error using diffusion models, surpassing slow Gaussian deconvolution methods, with utility in quantifying medical device errors in digital clinical trials
Conformal uncertainty quantification using kernel depth measures in separable Hilbert spaces*
*Authors:* Matabuena, Marcos; Ghosal, Rahul; Mozharovskyi, Pavlo; Padilla, Oscar Hernan Madrid; Onnela, Jukka-Pekka.
*Source:* arXiv preprint arXiv:2405.13970, 2024.
*Relevance:* Introduces a faster predictive-inference methodology for functional data in a separable Hilbert space, leveraging kernel depth measures for robust uncertainty quantification.
Multilevel functional distributional models with application to continuous glucose monitoring in diabetes clinical trials*
*Authors:* Matabuena, Marcos; Crainiceanu, Ciprian M.
*Source:* arXiv preprint arXiv:2403.10514, 2024.
*Relevance:* First multilevel approach for comparing interventions in digital clinical trials conducted in free-living conditions, using distributional data analysis.
Uncertainty quantification for intervals*
*Authors:* García-Meixide, Carlos; Kosorok, Michael R.; Matabuena, Marcos.
*Source:* arXiv preprint arXiv:2408.16381, 2024.
*Relevance:* Provides a general methodology for prediction regions of interval data via conformal prediction + bootstrap, introducing a new class of functions for interval data.
Uncertainty quantification in metric spaces*
*Authors:* Lugosi, Gábor; Matabuena, Marcos.
*Source:* arXiv preprint arXiv:2405.05110, 2024.
*Relevance:* Proposes a general framework using conformal prediction and kNN for heteroscedastic regression in metric spaces, essential for personalized medicine.
*Conformal prediction in dynamic biological systems*
*Authors:* Portela, Alberto; Banga, Julio R.; Matabuena, Marcos.
*Source:* arXiv preprint arXiv:2409.02644, 2024.
*Relevance:* Demonstrates conformal prediction for dynamic biological systems using jackknife methods, outperforming traditional Bayesian approaches in uncertainty quantification.
Some researchers with whom I have had the privilege of working
Discovering, constructing, and nurturing scientific collaborators holds immense significance. My exceptional collaborators have played a pivotal role in shaping my thoughts, advancing my professional journey, and influencing the problems I choose to tackle. Collaborating with distinguished scientists worldwide not only brings immense satisfaction but also opens extraordinary avenues to make a profound difference in the lives of millions.