“…This inspired works such as DSAC [4], a smooth RANSAC with a finite hypothesis pool. Meanwhile, simple parametric distributions (e.g., normal distribution) are often used in predicting continuous variables [13,18,22,25,26,51], and mixture distributions can be employed to further capture ambiguity [3,5,31], e.g., ambiguous 6DoF pose [7]. In this paper, we propose yet a unique contribution: backpropagating a complicated continuous distribution derived from a nested optimization layer (the PnP layer), essentially making the continuous counterpart of Softmax tractable.…”