arXiv:2608.23416cs.LGq-fin.PM2026-08

从隐变量机制出发,推导出量化交易系统的核心约束条件。

The Axiomatic Trader: Latent Regularity, Information Budgets, and the Canonical Form of a Quantitative Investment System

  • 将市场规律建模为不可观测的隐状态驱动的时不变机制。
  • 确定五项关键常数:周期边界、表征偏差、相干时间、信号上限与状态依赖比例。
  • 为量化交易系统提供理论架构,适合金融工程与算法交易研究者。

系统化交易基于一个基本信念:过去发现的规律会持续存在。我们将其表述为由不可观测的隐状态驱动的时不变机制,并证明在此框架下,研究人员只需定义五个常数——块长 $b$ 下的重复边界 $Lambda$、表征的不变性缺陷 $epsilon_0$、状态各坐标相干时间 $ell_i$、信号上限 $rho$ 以及依赖于状态的占比 $kappa$——之后,一个正确量化投资系统的结构几乎被唯一确定。

原文摘要 · Abstract (English)

Systematic trading rests on one article of faith: that regularities found in the past persist. We state it as a time-invariant mechanism driven by an unobserved latent state, and show that it leaves a researcher five constants to declare --- the recurrence bound $Lambda$ at a block length $b$, the invariance defect $epsilon_0$ of the representation it is declared of, the coherence times $ell_i$ of the state's coordinates, the signal ceiling $rho$ and the fraction $kappa$ of it contingent on the regime --- after which the architecture of a correct quantitative investment system is nearly forced.

量化交易隐变量模型金融建模

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