arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2407.00529cs.LGcs.SDeess.ASmath.STstat.MLstat.TH
收藏

检测与识别序列数据中的选择结构

Detecting and Identifying Selection Structure in Sequential Data

Carnegie Mellon University(卡内基梅隆大学);Max Planck Institute for Intelligent Systems(马克斯·普朗克智能系统研究所);MBZUAI(穆罕默德·本·扎耶德人工智能大学)

Yujia Zheng, Zeyu Tang, Yiwen Qiu, Bernhard Schölkopf, Kun Zhang

AI总结:

本文研究序列数据中由潜在目标驱动的选择结构,证明其在无参数假设和干预实验下具有非参数可识别性,并提出可证明正确的算法来检测和识别选择结构及其他依赖关系,在合成数据与真实音乐数据上验证有效。

摘要:

我们认为,基于潜在目标的选择性纳入数据点在现实场景中十分常见,例如音乐序列。由于这种选择过程往往会扭曲统计分析,以往工作主要将其视为需要校正的偏差,并提出了各种方法来缓解其影响。然而,尽管控制这种偏差至关重要,选择本身也提供了一个深入洞察隐藏生成过程的机会,因为它是构成我们所观测现象的基本机制。尤其是,在序列数据中忽视选择可能导致建模中的归纳偏置不完整或过于复杂,例如假设所有依赖关系都遵循通用的自回归结构。因此,我们不仅仅将选择视为一种偏差,而是探索序列数据中选择的因果结构,以更深入地理解完整的因果过程。具体而言,我们证明了在没有任何参数假设或干预实验的情况下,选择结构是可识别的。此外,即使在选择变量与潜在混淆因子共存的情况下,我们仍然在适当的结构条件下建立了非参数可识别性。同时,我们还提出了一种可证明正确的算法,用于检测和识别选择结构以及其他类型的依赖关系。该框架已在合成数据和真实世界音乐数据上进行了实证验证。

英文摘要:

We argue that the selective inclusion of data points based on latent objectives is common in practical situations, such as music sequences. Since this selection process often distorts statistical analysis, previous work primarily views it as a bias to be corrected and proposes various methods to mitigate its effect. However, while controlling this bias is crucial, selection also offers an opportunity to provide a deeper insight into the hidden generation process, as it is a fundamental mechanism underlying what we observe. In particular, overlooking selection in sequential data can lead to an incomplete or overcomplicated inductive bias in modeling, such as assuming a universal autoregressive structure for all dependencies. Therefore, rather than merely viewing it as a bias, we explore the causal structure of selection in sequential data to delve deeper into the complete causal process. Specifically, we show that selection structure is identifiable without any parametric assumptions or interventional experiments. Moreover, even in cases where selection variables coexist with latent confounders, we still establish the nonparametric identifiability under appropriate structural conditions. Meanwhile, we also propose a provably correct algorithm to detect and identify selection structures as well as other types of dependencies. The framework has been validated empirically on both synthetic data and real-world music.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑