arXiv:2608.11675cs.LGcs.IR2026-08中稿 · the 35th ACM Inter…

针对多层级优惠券分配,提出联合转化与收入提升的因果建模方法。

FunnelCausalNet: Funnel-aware Joint Conversion-Revenue Uplift for Multi-tier Coupon Allocation

  • 构建转化与条件价值耦合的双头模型,利用乘积关系建模GMV漏斗结构。
  • 在真实数据上相比直接回归降低18%-48%的GMV误差,提升预算分配效果。
  • 适合电商、酒店等需精准评估优惠券影响的工业级场景使用。

优惠券活动旨在提升转化率与收入,但商品交易额(GMV)遵循从转化到条件订单价值的确定性漏斗,具有零膨胀和重尾特征。本文提出FunnelCausalNet,通过将二分类转化头与非负条件值头以μ_{GMV}=μ_{conv}μ_{val}耦合,建模漏斗结构。在显式随机对照试验(RCT)、支持度、率差及跨头协方差控制假设下,理想化均方误差分析识别出漏斗结构可降低点估计方差的区域(为启发式,非共享表示神经网络的保证)。该估计器结合边际分段置信区间汇总,采用邦弗朗尼校正组合为审计带,并与基于RCT锚定估计的拉格朗日预算分配器联动,实现补贴感知的ROI核算。在半合成多层级Criteo-MT7数据集上,FunnelCausalNet的平均AUUC_GMV在十一组基线中仅相差一个种子标准差;可控消融实验显示,在不同零膨胀程度下,其GMV效应误差较直接回归降低18%-48%。在包含约490万条保留暴露记录的脱敏工业级酒店优惠券RCT日志中,预期结果评估覆盖完整线性规划前沿;在10%至60%的七种相关锚点下,其种子平均DeltaROI始终最优,视为描述性前沿一致性而非独立显著性。在稀疏二值支出公开基准上,收入导向排序器可主导提升曲线代理指标,明确划分有效应用区间。

原文摘要 · Abstract (English)

Coupon campaigns seek to lift both conversion and revenue, but gross merchandise value (GMV) follows a deterministic funnel from conversion to conditional order value and is zero-inflated and heavy-tailed. We propose FunnelCausalNet, an uplift estimator coupling a binary conversion head with a nonnegative conditional-value head through $μ_{\mathrm{gmv}}=μ_{\mathrm{conv}}μ_{\mathrm{val}}$. Under explicit RCT, support, rate-gap, and cross-head covariance-control assumptions, an idealized leading-order MSE comparison identifies a regime in which funnel composition can reduce pointwise variance; this is a heuristic, not a guarantee for the shared-representation neural model. The estimator is paired with marginal split-conformal CATE summaries, combined through a Bonferroni union as audit bands, and a Lagrangian budgeted allocator using RCT-anchored estimates for subsidy-aware ROI accounting. On semi-synthetic multi-tier Criteo-MT7, FunnelCausalNet's mean AUUC_GMV is within one seed standard deviation of the leading feature-interaction baseline among eleven baselines, while a controlled ablation reduces GMV effect error versus direct GMV regression by 18--48% across tested zero-inflation regimes. On de-identified industrial Hotel-Coupon RCT logs with about 4.9 million hold-out exposure records per seed, expected-outcome evaluation sweeps full LP frontiers; FunnelCausalNet has the best seed-averaged mean DeltaROI at all seven correlated anchors from 10% to 60%, which we treat as descriptive frontier consistency rather than independent significance. On sparse binary-spend public benchmarks, revenue-focused rankers can dominate uplift-curve proxies, defining an explicit regime boundary.

因果推断优惠券分配漏斗模型收入预测

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