This is a theoretical project that will connect
Minimizing Low-Rank Models of High-Order Tensors: Hardness, Span, Tight Relaxation, and Applications (https://ieeexplore.ieee.org/document/10342630)
and
Almost No News on the Complexity of MAP in Bayesian Networks (https://proceedings.mlr.press/v138/campos20a.html)
generating new theoretical results and fixing imprecisions on existing one. It requires a student with good background and interest in computational complexity.
Cassio de Campos