arXiv:2502.15838cs.AIcs.LG2025-02

提出融合数学技术因果的新框架,提升特征关系分析的透明性与准确性。

A novel approach to the relationships between data features -- based on comprehensive examination of mathematical, technological, and causal methodology

  • 用希尔伯特空间与黎曼流形重构特征关系,避免传统方法的畸变
  • 通过逆向因果实现动态推理,使特征互动成为涌现结构
  • 适合关注AI可解释性与因果建模的研究者

人工智能的发展引发对透明性、问责性与可解释性的担忧,反事实推理成为关键解决路径。然而现有数学、技术和因果方法依赖外部化手段,在单一坐标系中归一化特征关系,常扭曲内在交互。本研究提出收敛融合范式(CFP)理论,整合数学、技术与因果视角,实现对特征关系更精确、全面的分析。CFP引入希尔伯特空间与逆向因果,将特征关系重新诠释为涌现结构,应对因果建模中的共同原因问题这一根本挑战。从数学-技术角度看,采用基于黎曼流形的框架,提升高维与低维数据交互的结构表达能力。从因果推断角度,以溯因作为方法基础,利用希尔伯特空间实现动态因果推理,其中因果关系通过溯因推导,特征关系随时间演化为涌现属性。最终,CFP提出一种融合希尔伯特空间、逆向因果与黎曼几何的新型AI建模方法,增强反事实推理中的AI治理与透明性。

原文摘要 · Abstract (English)

The expansion of artificial intelligence (AI) has raised concerns about transparency, accountability, and interpretability, with counterfactual reasoning emerging as a key approach to addressing these issues. However, current mathematical, technological, and causal methodologies rely on externalization techniques that normalize feature relationships within a single coordinate space, often distorting intrinsic interactions. This study proposes the Convergent Fusion Paradigm (CFP) theory, a framework integrating mathematical, technological, and causal perspectives to provide a more precise and comprehensive analysis of feature relationships. CFP theory introduces Hilbert space and backward causation to reinterpret the feature relationships as emergent structures, offering a potential solution to the common cause problem -- a fundamental challenge in causal modeling. From a mathematical -- technical perspective, it utilizes a Riemannian manifold-based framework, thereby improving the structural representation of high- and low-dimensional data interactions. From a causal inference perspective, CFP theory adopts abduction as a methodological foundation, employing Hilbert space for a dynamic causal reasoning approach, where causal relationships are inferred abductively, and feature relationships evolve as emergent properties. Ultimately, CFP theory introduces a novel AI modeling methodology that integrates Hilbert space, backward causation, and Riemannian geometry, strengthening AI governance and transparency in counterfactual reasoning.

可解释AI因果推理特征分析

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