Explore the challenges and tractability of finding modes in Probabilistic Circuits, with a focus on Gaussian Sum-Product Networks, in this 45-minute lecture by Denis Maua from the University of Sao Paulo. Delve into the importance of finding high probability modes in probability distributions for machine learning tasks like structured prediction. Examine the motivation behind finding multiple relevant modes, including analyzing model robustness and producing diverse representative solutions. Gain insights into the limited progress in finding and analyzing modes of non-deterministic Probabilistic Circuits, and understand the significance of this topic in the field of Probabilistic Circuits and Logic.