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Jointly Optimizing Debiased CTR and Uplift for Coupons Marketing: A Unified Causal Framework

Siyun Yang, Shixiao Yang, Jian Wang, Di Fan, Kehe Cai, Haoyan Fu, Jiaming Zhang, Wenjin Wu, Peng Jiang

TL;DR

UniMVT addresses confounding bias in CTR when coupons serve as multi-valued interventions by unifying disentangled representation learning with full-space counterfactual inference. The framework couples a Deconfounded Causal Representation (DCR) built on Mixture-of-Experts with a Heterogeneous Treatment Effect Network (HTE Net) that decouples base CTR and uplift while enforcing a monotonic linear uplift relationship. A Counterfactual X-Network, intensity projection, and orthogonality regularization ensure robust uplift estimation across continuous treatment intensities and across treated/control groups, with theoretical convergence guarantees. Extensive offline experiments on synthetic and industrial data, plus real-world online A/B tests, demonstrate improvements in both CTR calibration and uplift-driven coupon optimization, translating to meaningful business gains in production.

Abstract

In online advertising, marketing interventions such as coupons introduce significant confounding bias into Click-Through Rate (CTR) prediction. Observed clicks reflect a mixture of users' intrinsic preferences and the uplift induced by these interventions. This causes conventional models to miscalibrate base CTRs, which distorts downstream ranking and billing decisions. Furthermore, marketing interventions often operate as multi-valued treatments with varying magnitudes, introducing additional complexity to CTR prediction. To address these issues, we propose the \textbf{Uni}fied \textbf{M}ulti-\textbf{V}alued \textbf{T}reatment Network (UniMVT). Specifically, UniMVT disentangles confounding factors from treatment-sensitive representations, enabling a full-space counterfactual inference module to jointly reconstruct the debiased base CTR and intensity-response curves. To handle the complexity of multi-valued treatments, UniMVT employs an auxiliary intensity estimation task to capture treatment propensities and devise a unit uplift objective that normalizes the intervention effect. This ensures comparable estimation across the continuous coupon-value spectrum. UniMVT simultaneously achieves debiased CTR prediction for accurate system calibration and precise uplift estimation for incentive allocation. Extensive experiments on synthetic and industrial datasets demonstrate UniMVT's superiority in both predictive accuracy and calibration. Furthermore, real-world A/B tests confirm that UniMVT significantly improves business metrics through more effective coupon distribution.

Jointly Optimizing Debiased CTR and Uplift for Coupons Marketing: A Unified Causal Framework

TL;DR

UniMVT addresses confounding bias in CTR when coupons serve as multi-valued interventions by unifying disentangled representation learning with full-space counterfactual inference. The framework couples a Deconfounded Causal Representation (DCR) built on Mixture-of-Experts with a Heterogeneous Treatment Effect Network (HTE Net) that decouples base CTR and uplift while enforcing a monotonic linear uplift relationship. A Counterfactual X-Network, intensity projection, and orthogonality regularization ensure robust uplift estimation across continuous treatment intensities and across treated/control groups, with theoretical convergence guarantees. Extensive offline experiments on synthetic and industrial data, plus real-world online A/B tests, demonstrate improvements in both CTR calibration and uplift-driven coupon optimization, translating to meaningful business gains in production.

Abstract

In online advertising, marketing interventions such as coupons introduce significant confounding bias into Click-Through Rate (CTR) prediction. Observed clicks reflect a mixture of users' intrinsic preferences and the uplift induced by these interventions. This causes conventional models to miscalibrate base CTRs, which distorts downstream ranking and billing decisions. Furthermore, marketing interventions often operate as multi-valued treatments with varying magnitudes, introducing additional complexity to CTR prediction. To address these issues, we propose the \textbf{Uni}fied \textbf{M}ulti-\textbf{V}alued \textbf{T}reatment Network (UniMVT). Specifically, UniMVT disentangles confounding factors from treatment-sensitive representations, enabling a full-space counterfactual inference module to jointly reconstruct the debiased base CTR and intensity-response curves. To handle the complexity of multi-valued treatments, UniMVT employs an auxiliary intensity estimation task to capture treatment propensities and devise a unit uplift objective that normalizes the intervention effect. This ensures comparable estimation across the continuous coupon-value spectrum. UniMVT simultaneously achieves debiased CTR prediction for accurate system calibration and precise uplift estimation for incentive allocation. Extensive experiments on synthetic and industrial datasets demonstrate UniMVT's superiority in both predictive accuracy and calibration. Furthermore, real-world A/B tests confirm that UniMVT significantly improves business metrics through more effective coupon distribution.
Paper Structure (31 sections, 1 theorem, 37 equations, 5 figures, 5 tables)

This paper contains 31 sections, 1 theorem, 37 equations, 5 figures, 5 tables.

Key Result

Theorem 4.1

Under Assumptions intensity and estimators, minimizing the counterfactual calibration loss $\mathcal{L}_{x-treat}$ and $\mathcal{L}_{x-base}$ ensures that the estimated unit uplift $\hat{\eta}$ converges in probability to the true unit uplift $\eta$.

Figures (5)

  • Figure 1: Motivation analysis of causal marketing interventions and sensitivity estimation.
  • Figure 2: Overview of CENIF. The framework integrates two core modules: (i) a Deconfounded Causal Representation (DCR) layer utilizing Mixture-of-Experts (MoE) to disentangle intervention-sensitive from invariant features; and (ii) a Heterogeneous Treatment Effect (HTE) network estimating base CTR, Intensity value, and uplift.
  • Figure 3: CS-AUUC comparison of different methods across three synthetic datasets. All curves start from the origin (0,0) and are compared against the Global Slope.
  • Figure 4: Illustration of the online pipeline.
  • Figure 5: The illustration of coupon scenario. These pre-click promotional details can significantly influence user click-through rates.

Theorems & Definitions (7)

  • Definition 3.1: Base & Treated CTR
  • Definition 3.2: Unit CATE
  • Theorem 4.1: Convergence of Unit Uplift
  • Definition 5.1: CS-AUUC
  • Definition 5.2: CS-Qini
  • proof
  • proof