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English(EN) Latent-Space No-Arbitrage Geometry of Generative Models for Implied Volatility Surfaces

新的几何框架分析生成模型中的无套利

研究人员开发了一个几何框架,用于分析用于隐含波动率曲面的生成模型潜在空间中的无套利约束。该方法为每个潜在代码分配一个边距,定义了一个可容许的潜在集,在该集合中生成的曲面满足金融无套利条件。该研究建立了代码稳定性的条件,并表征了可容许集的边界,该边界可以通过水平集方程导向零边距曲面。该方法适用于各种生成模型架构,包括变分自编码器和生成对抗网络,并在解析示例和 Heston 曲面上进行了数值测试。 AI

影响 这项研究可能导致更符合金融原理的复杂金融数据生成模型。

排序理由 学术论文,详细介绍了生成模型的新理论框架。[lever_c_demoted from research: ic=1 ai=0.7]

在 arXiv cs.AI 阅读 →

AI 生成摘要 · Google Gemini · 来自 1 个来源。 我们如何撰写摘要 →

新的几何框架分析生成模型中的无套利

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学术论文,详细介绍了生成模型的新理论框架。[lever_c_demoted from research: ic=1 ai=0.7]
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报道来源 [1]

  1. arXiv cs.AI TIER_1 English(EN) · Jing Wang, Shuaiqiang Liu, Cornelis Vuik ·

    生成模型隐含波动率曲面的潜在空间无套利几何

    arXiv:2609.00332v1 Announce Type: cross Abstract: Generative models for implied volatility surfaces must produce outputs that satisfy static no-arbitrage constraints. We study these constraints in latent space. For a fixed generator, we assign each latent code a scalar margin det…