“…Entropy regularization. The advantages of entropy regularization have been exploited in a diverse array of optimization problems over probability distributions, with prominent examples including equilibrium computation in game theory (Ao et al, 2023;Cen et al, 2022aCen et al, , 2021McKelvey and Palfrey, 1995;Mertikopoulos and Sandholm, 2016;Savas et al, 2019) and policy optimization in reinforcement learning (Cen et al, 2022b(Cen et al, , 2023Geist et al, 2019;Lan, 2022;Mei et al, 2020;Neu et al, 2017;Zhan et al, 2023). The idea of employing entropy regularization to speed up convergence in optimal transport has been studied for multiple decades (e.g., Altschuler (2022); Chakrabarty and Khanna (2021); Kalantari et al (2008); Knight (2008)) and recently popularized by Cuturi (2013).…”