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分类依据与纠错

AI 根据所提供的论文材料归类:摘要明确估计联立结构方程中的双向效应,并给出因果解释所需机制条件,直接对应结构估计与因果推断。

反馈分类问题

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代码、数据与补充材料

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关注这篇论文的作者
Masahiro Tanaka

利用异方差神经网络学习双向因果交互

研究问题
在双方结果同时内生、缺乏外部工具变量时,能否利用条件异方差识别双向结构作用,并灵活处理非线性关系?
方法与思路
作者以条件残差协方差对角化识别交互系数,用神经网络拟合均值与方差,并纳入联立系统雅可比构造准似然。
材料陈述的贡献
摘要称建立唯一识别与局部曲率结果;模拟报告结构效应恢复改善但计算成本更高,并展示价格与销量反馈应用。
阅读关注点
应核对冲击条件不相关、方差非比例性及神经剖面兼容条件,并审查机制干预不变性、识别强度与优化敏感性。
阅读边界
这是预印本,同行评审与期刊接收均未核实。因果解释另需自主机制假设;摘要不足以评估证明及比较优势的适用范围。

原文摘要

Estimating contemporaneous bidirectional interactions from observational data is difficult because each outcome is endogenous to the other, while flexible regressions may capture only reduced-form dependence. This paper proposes SEM-DNN, a heteroscedastic neural simultaneous-equation estimator that learns reciprocal structural interactions without external instruments. Identification exploits conditional covariance diagonalization: when structural shocks have zero conditional means, are conditionally uncorrelated given predetermined covariates, and exhibit nonproportional conditional variances, only the true interaction coefficients diagonalize the conditional residual covariance across the feature space. The method jointly approximates nonlinear structural mean functions and feature-dependent variances using a diagonal Gaussian quasi-likelihood that incorporates the simultaneous-system Jacobian. We establish unique identification and positive-definite local curvature of the profiled population criterion and show that, under neural-profile compatibility conditions, the implemented neural criterion inherits this curvature despite nonunique network parameterizations. The coefficients admit a causal interpretation when the structural equations represent autonomous mechanisms that remain invariant under the relevant interventions. Monte Carlo experiments with nonlinear, high-dimensional nuisance functions and non-Gaussian shocks show that SEM-DNN recovers structural effects more reliably than parametric, kernel-based, and separate-equation neural alternatives as information increases, although at greater computational cost. An application to ready-to-eat cereal scanner data illustrates how the method can study contemporaneous price-sales feedback and assess identification strength, residual diagonalization, variance calibration, and optimization sensitivity.

笔记与分组