“…Causal prediction through DL algorithms has been recently drawing much attention. Koch et al (2021) reviewed four different approaches to deep causal estimation including (i) meta-learners (Künzel et al, 2019) like S-learners, T-leaners, and X-learners, (ii) balancing through representation learning such as TARNet (Shalit et al, 2017) and CFRNet (Johansson et al, 2018(Johansson et al, , 2020, (iii) extension with inverse propensity score weighting such as targeted maximum likelihood estimation (TMLE, Van der Laan et al (2011)) and Dragonnet and targeted regularization (Shi et al, 2019), and (iv) adversarial training of generative models such as GANITE (Yoon et al, 2018). In particular, TARNet utilizes the loss functions that minimize the mean square errors (MSE) of the observed vs. predicted causal outcomes after representation learning, i.e., after deconfounding the treatment from the outcome by forcing the treated and control covariate distributions to get closer together, and CFRNet additionally minimizes the distance between treatment indicator and covariate distributions.…”