Simplicity bias, algorithmic probability, and the random logistic map

arXiv:2401.00593v2 Announce Type: replace-cross
Abstract: Simplicity bias is an intriguing phenomenon prevalent in various input-output maps, characterized by a preference for simpler, more regular, or symmetric outputs. Notably, these maps typically feature high-probability outputs with simple patterns, whereas complex patterns are exponentially less probable. This bias has been extensively examined and attributed to principles derived from algorithmic information theory and algorithmic probability. In a significant advancement, it has been demonstrated that the renowned logistic map and other one-dimensional maps exhibit …

abstract arxiv bias cs.it feature input-output logistic map maps math.ds math.it nlin.cd patterns probability random simple simplicity stat.ml type