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Main research interests are reliable machine learning and robust artificial intelligence, focused on theoretical and foundational developments for learning and reasoning with graphical models such as Bayesian networks, (hidden) Markov models, Markov random fields, influence diagrams, Markov decision processes, sum-product networks, and their use in applications. This includes proofs about the computational complexity of many tasks, devising new algorithms that (when created) were orders of magnitude faster than state-of-the-art methods, new mathematical results that may considerably reduce the time to learn graphical models from data, among other challenges. Credal networks, which are graphical models aimed at greater robustness/reliability of results, are of great importance. The work on them and on credal sum-product networks includes the development of the theoretical foundations, as well as some of the best performing algorithms for learning and reasoning.