“…Given the extensive use of nonlinear systems [1,2] in various domains, including radar [3,4], communication [5,6], navigation [7,8], control [9,10], finance [11], and statistics [12,13], the nonlinear dynamics of these systems require sophisticated filtering techniques for robust and precise estimation [14,15]. However, the effectiveness of these filtering techniques significantly diminishes in the presence of heavy-tailed noise and errors.…”