From c0bad6f67e1ee8af0e4c1f25fc67999be0df4552 Mon Sep 17 00:00:00 2001 From: Rayhan Momin Date: Thu, 29 Feb 2024 14:25:39 -0500 Subject: [PATCH] added code to illustrate counterfactual treatment effect analysis --- code/main.py | 62 ++++++++++++++++++++++++++++++++++++++++++---- output/output.pdf | Bin 1045172 -> 1263608 bytes 2 files changed, 57 insertions(+), 5 deletions(-) diff --git a/code/main.py b/code/main.py index 5121d21..32de983 100644 --- a/code/main.py +++ b/code/main.py @@ -29,12 +29,19 @@ trua = X[:,0]*0.2 - X[:,1]*1.3 - X[:,2]*.5 # Treatment (constant propensity) z = (torch.rand(n, dim_z)>.5) + zalt = (torch.rand(n, dim_z)>.5) # Alternative treatment + zopt = trub > 0 # 'Optimal' treatment # Reshape variables trub = torch.reshape(trub,(n,1)) trua = torch.reshape(trua,(n,1)) z = torch.reshape(z,(n,1)) + zalt = torch.reshape(zalt,(n,1)) + zopt = torch.reshape(zopt,(n,1)) # Outcomes are linear in treatments y = trua + torch.mul(trub,z) + torch.randn(n,1) + # Compute uplift in average outcome for alternative treatments + ydiffa = (torch.mul(trub,zalt) - torch.mul(trub,z)) + ydiffb = (torch.mul(trub,zopt) - torch.mul(trub,z)) # Collect data dat = {"X": X, "y": y, "z": z} @@ -65,9 +72,9 @@ split2 = int(n/3) split3 = n-split1-split2 samp1, samp2, samp3 = random_split(torch.arange(n), (split1,split2,split3)) - dat1 = {"X": X[samp1.indices,:], "y": y[samp1.indices,:], "z": z[samp1.indices,:]} - dat2 = {"X": X[samp2.indices,:], "y": y[samp2.indices,:], "z": z[samp2.indices,:]} - dat3 = {"X": X[samp3.indices,:], "y": y[samp3.indices,:], "z": z[samp3.indices,:]} + dat1 = {"X": X[samp1.indices,:], "y": y[samp1.indices,:], "z": z[samp1.indices,:], "zalt": zalt[samp1.indices,:]} + dat2 = {"X": X[samp2.indices,:], "y": y[samp2.indices,:], "z": z[samp2.indices,:], "zalt": zalt[samp2.indices,:]} + dat3 = {"X": X[samp3.indices,:], "y": y[samp3.indices,:], "z": z[samp3.indices,:], "zalt": zalt[samp3.indices,:]} # Create models model1 = CausalDNN(num_output=d_param, num_input=d_in, hidden_arch=h_arch, lr=0.01) @@ -97,6 +104,51 @@ ate_se = ((1/3)*(if1.var() + if2.var() + if3.var())/n).sqrt() # Report results - print(f'ATE: {ate_beta.item():.3f}') + print('\n') + print(f'Estimated ATE: {ate_beta.item():.3f}') print(f'95% CI: [{ate_beta.item()-1.96*ate_se.item():.3f}, {ate_beta.item()+1.96*ate_se.item():.3f}]') - print(f'True ATE: {trub.mean().item():.3f}') \ No newline at end of file + print(f'True ATE: {trub.mean().item():.3f}') + + # Define statistic for alternative treatment + def C_func0(x,b): + new_target = x['zalt'].view(-1,1) + new_outcome = new_target*(b[:,1].view(-1,1)) + prev_outcome = x['z']*b[:,1].view(-1,1) + return new_outcome - prev_outcome + + # Compute influence functions for alternative treatment + if1a = proc_res(dat1, model2, lproj3, C_func0) + if2a = proc_res(dat2, model3, lproj1, C_func0) + if3a = proc_res(dat3, model1, lproj2, C_func0) + + # Compute ATE and Confidence Intervals for alternative treatment + uplift_a_beta = torch.cat((if1a, if2a, if3a), dim=0).mean(dim=0) + uplift_a_se = ((1/3)*(if1a.var() + if2a.var() + if3a.var())/n).sqrt() + + # Report results + print('\n') + print(f'Estimated Uplift for Alternative Treatment: {uplift_a_beta.item():.3f}') + print(f'95% CI: [{uplift_a_beta.item()-1.96*uplift_a_se.item():.3f}, {uplift_a_beta.item()+1.96*uplift_a_se.item():.3f}]') + print(f'True Uplift for Alternative Treatment: {ydiffa.mean().item():.3f}') + + # Define statistic for another alternative treatment + def C_func1(x,b): + new_target = (b[:,1]>0).view(-1,1) + new_outcome = new_target*(b[:,1].view(-1,1)) + prev_outcome = x['z']*b[:,1].view(-1,1) + return new_outcome - prev_outcome + + # Compute influence functions for another alternative treatment + if1b = proc_res(dat1, model2, lproj3, C_func1) + if2b = proc_res(dat2, model3, lproj1, C_func1) + if3b = proc_res(dat3, model1, lproj2, C_func1) + + # Compute ATE and Confidence Intervals for another alternative treatment + uplift_b_beta = torch.cat((if1b, if2b, if3b), dim=0).mean(dim=0) + uplift_b_se = ((1/3)*(if1b.var() + if2b.var() + if3b.var())/n).sqrt() + + # Report results + print('\n') + print(f'Estimated Uplift for Optimal Treatment: {uplift_b_beta.item():.3f}') + print(f'95% CI: [{uplift_b_beta.item()-1.96*uplift_b_se.item():.3f}, {uplift_b_beta.item()+1.96*uplift_b_se.item():.3f}]') + print(f'True Uplift for Optimal Treatment: {ydiffb.mean().item():.3f}') \ No newline at end of file diff --git a/output/output.pdf b/output/output.pdf index 1cd020afce65ae562fa6044f93de8e93c429e721..e2fe3b7cd4210c5ee20b334887daf1d5e3e60410 100644 GIT binary patch literal 1263608 zcmbTdWmKF&(>92^ySux)I{^X&cOBe<4ek&ixCeK4cb8zng3I9U?ksus`S#s&_WQBB zeaqBoyX)%eu4<{FR*{lnW@q6>px)k@nnU0rVH2UH=m!Z*O7=Kwy=yc6Ct!I7>R(J2^T499+rx5LmUW&0Vd?*tvKRSmglLmR7E0 zoS(6hj&_dDYEC9*pVdhL+^x+3-()2aSY@p3TmjCXQIhIX05eDP&pH(W4wnBa;N)OO z5D`Ieadifm*du%_eVl`#h?_f_0>I3{J_Gp2Dwre~EHn%Z3^eTL3l0tz9uWfx5di@a 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