发表机构
Nanyang Technological University（南洋理工大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究针对鲁棒投资组合规则的置信集重构问题，提出了结合贝叶斯变换、内生研究与均衡临界性的框架，推导了相关方程并分析了敏感性与时间定律的影响。
AI 中文摘要
在学习后重构置信集的鲁棒投资组合规则，不一定能保留通过先验-先验贝叶斯变换得到的评估器。在高斯模型中，这种差异由自然坐标位移概括：继承的变换会保留该位移，而全新的重构则可能替换它。我们对评估器替换定价，并通过内生研究追踪由此产生的优化曲率。优化后的鲁棒值将协议遗憾表示为Bregman散度函数，而具有常绝对风险厌恶（CARA）的同批次矩形高斯基准会产生停止的重新校准税。在版本化模型发布经济中，验证的历史通过严格因果网络传播，且当前优化边际价值的同周期份额会反馈到研究供给。容量受限的均衡简化为标量方程，其协议索引增益为\\(\mathfrak g_I^P=\lambda\beta_{R,I}(W_R^P)''\\)。纯因果验证无法创建同周期单位模式；来源通过优化曲率改变临界性。对于方向\\(h_I\\)上的标量原始供应商-得分冲击\\(z\\)和金融结果\\(\mathcal O\\)，敏感性分解为\\(\omega_{\mathcal O,h,I}/(1-\mathfrak g_I^P)\\)。在平滑均衡状态和活跃单元的条件下，当所有兼容的时间定律为次临界时，完成时间信息会严格限定该乘数；当时间集达到极点时，不存在有限的统一界限。
英文摘要
Robust portfolio rules that reconstruct confidence sets after learning need not preserve the evaluator obtained by prior-by-prior Bayesian transport. In the Gaussian model, this discrepancy is summarized by natural-coordinate displacement: inherited transport preserves it whereas fresh reconstruction can replace it. We price evaluator replacement and trace the resulting optimized curvature through endogenous research. Optimized robust value represents protocol regret as a functional Bregman divergence, while a within-vintage rectangular Gaussian benchmark with constant absolute risk aversion (CARA) yields a stopped recalibration tax. In a versioned model-release economy, validated history propagates through a strictly causal network and a same-cycle share of current optimized marginal value feeds back into research supply. The capacity-constrained equilibrium reduces to a scalar equation with protocol-indexed gain \(\mathfrak g_I^P=λβ_{R,I}(W_R^P)''\). Purely causal validation cannot create a same-cycle unit mode; provenance changes criticality through optimized curvature. For a scalar primitive supplier-score shock \(z\) in direction \(h_I\) and financial outcome \(\mathcal O\), sensitivity factors as \(ω_{\mathcal O,h,I}/(1-\mathfrak g_I^P)\). Conditional on a smooth equilibrium state and active cell, completion-time information sharply bounds this multiplier when all compatible timing laws are subcritical; no finite uniform bound exists when the timing set reaches the pole.
Comments61 pages, 4 figures; includes a 41-page Electronic Companion
