T-Learner

Tags: #machine learning #causual inference

Equation

$$\mu_{0}(x)=\mathbb{E}[Y(0)|X=x],\mu_{1}(x)=\mathbb{E}[Y(1)|X=x],\\ \hat{\tau}(x)=\hat{\mu}_{1}(x)-\hat{\mu}_{0}(x)$$

Latex Code

                                 \mu_{0}(x)=\mathbb{E}[Y(0)|X=x],\mu_{1}(x)=\mathbb{E}[Y(1)|X=x],\\
                \hat{\tau}(x)=\hat{\mu}_{1}(x)-\hat{\mu}_{0}(x)
                            

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Introduction

Equation



Latex Code

                \mu_{0}(x)=\mathbb{E}[Y(0)|X=x],\mu_{1}(x)=\mathbb{E}[Y(1)|X=x],\\
                \hat{\tau}(x)=\hat{\mu}_{1}(x)-\hat{\mu}_{0}(x)
            

Explanation

T-Learner models use two separate models to fit the dataset of control group W=0 and dateset of treatment group W=1. The CATE estimation is calculated as the difference between two outputs given same input x and different models \mu_0 and \mu_1.

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