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arXiv 提交日期: 2026-04-30
📄 Abstract - Sampler-Robust Optimization under Generative Models

Modern stochastic optimization pipelines increasingly rely on learned generative models to represent uncertainty, while downstream decisions are evaluated almost entirely through Monte Carlo scenarios. This shifts the operational object of uncertainty from an explicit probability law to the sampler induced by the learned generator. Reliability therefore depends on two errors: sampler misspecification and finite-simulation error. We propose Sampler-Robust Optimization (SRO), which optimizes decisions against the worst-case sampler induced by perturbing the learned generator. This sampler-first formulation aligns with simulation-based decision pipelines and admits a sharpness-aware interpretation: it favors decisions whose performance is stable under generator perturbations, rather than merely under the nominal sampler. Under a coverage assumption, we show that the empirical worst-case objective provides a high-probability upper certificate for the true population objective, with finite-simulation error partially absorbed by the robustification used to guard against sampler misspecification. The framework accommodates generative models with or without explicit densities and admits efficient minimax procedures. Portfolio-optimization experiments show that SRO produces more stable decisions and improves out-of-sample performance under distribution shift.

顶级标签: machine learning model evaluation theory
详细标签: generative models robust optimization distribution shift portfolio optimization 或 搜索:

基于生成模型的采样器鲁棒优化 / Sampler-Robust Optimization under Generative Models


1️⃣ 一句话总结

本文提出一种名为采样器鲁棒优化的新框架,通过扰动生成模型产生的采样器来优化决策,使得决策在生成模型不准确或采样有限时依然表现稳定,并用实验证明该方法在投资组合优化中有效提升了应对分布变化的稳健性。

源自 arXiv: 2604.27447