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We consider the effect of temporal aggregation on instantaneous (non-temporal) causal discovery in general setting. This is motivated by the observation that the true causal time lag is often considerably shorter than the observational…

机器学习 · 统计学 2024-09-11 Shunxing Fan , Mingming Gong , Kun Zhang

Can the direction of time and the causal structure of space-time be inferred from operational principles? Causal models and tensor networks offer complementary perspectives: the former encodes cause-effect relations via directed graphs,…

量子物理 · 物理学 2026-03-16 Carla Ferradini , Giulia Mazzola , V. Vilasini

We investigate the concept of entropy in probabilistic theories more general than quantum mechanics, with particular reference to the notion of information causality recently proposed by Pawlowski et. al. (arXiv:0905.2992). We consider two…

Causal inference methods for observational data are increasingly recognized as a valuable complement to randomized clinical trials (RCTs). They can, under strong assumptions, emulate RCTs or help refine their focus. Our approach to causal…

统计方法学 · 统计学 2024-08-14 Carlo Berzuini , Davide Luciani , Hiren C. Patel

Causal diagrams based on do intervention are useful tools to formalize, process and understand causal relationship among variables. However, the do intervention has controversial interpretation of causal questions for non-manipulable…

人工智能 · 计算机科学 2020-06-03 Gong Heyang , Zhu Ke

Estimating total treatment effects in the presence of network interference typically requires knowledge of the underlying interaction structure. However, in many practical settings, network data is either unavailable, incomplete, or…

统计方法学 · 统计学 2026-02-05 Albert Tan , Sadegh Shirani , James Nordlund , Mohsen Bayati

Causal inference with observational data critically relies on untestable and extra-statistical assumptions that have (sometimes) testable implications. Well-known sets of assumptions that are sufficient to justify the causal interpretation…

统计方法学 · 统计学 2024-02-20 Pablo Geraldo Bastías

Using symmetric boundary conditions at separated times, I show analytically that both the time ordering of (macroscopic) causality and the direction of entropy increase follow from these boundary conditions. In particular, when the…

统计力学 · 物理学 2007-05-23 L. S. Schulman

Causal inference is a science with multi-disciplinary evolution and applications. On the one hand, it measures effects of treatments in observational data based on experimental designs and rigorous statistical inference to draw causal…

统计方法学 · 统计学 2022-09-05 Jingying Zeng , Run Wang

Working with multiple variables they usually contain difficult to control complex dependencies. This article proposes extraction of their individual information, e.g. $\overline{X|Y}$ as random variable containing information from $X$, but…

机器学习 · 统计学 2023-11-23 Jarek Duda

In many application areas---lending, education, and online recommenders, for example---fairness and equity concerns emerge when a machine learning system interacts with a dynamically changing environment to produce both immediate and…

机器学习 · 计算机科学 2020-07-07 Elliot Creager , David Madras , Toniann Pitassi , Richard Zemel

We introduce an approach which allows detecting causal relationships between variables for which the time evolution is available. Causality is assessed by a variational scheme based on the Information Imbalance of distance ranks, a…

统计方法学 · 统计学 2024-05-07 Vittorio Del Tatto , Gianfranco Fortunato , Domenica Bueti , Alessandro Laio

Causal discovery aims to recover graphs that represent causal relations among given variables from observations, and new methods are constantly being proposed. Increasingly, the community raises questions about how much progress is made,…

机器学习 · 计算机科学 2025-10-30 Zhufeng Li , Niki Kilbertus

Quantifying causal effects of exposures on outcomes, such as a treatment and a disease respectively, is a crucial issue in medical science for the administration of effective therapies. Importantly, any related causal analysis should…

统计方法学 · 统计学 2024-09-04 Federico Castelletti , Laura Ferrini

Causal inference provides an analytical framework to identify and quantify cause-and-effect relationships among a network of interacting agents. This paper offers a novel framework for analyzing cascading failures in power transmission…

系统与控制 · 电气工程与系统科学 2024-10-28 Shiuli Subhra Ghosh , Anmol Dwivedi , Ali Tajer , Kyongmin Yeo , Wesley M. Gifford

Identification of causal structures and quantification of direct information flows in complex systems is a challenging yet important task, with practical applications in many fields. Data generated by dynamical processes or large-scale…

数据分析、统计与概率 · 物理学 2015-08-06 Carlo Cafaro , Warren M. Lord , Jie Sun , Erik M. Bollt

We propose a partial information decomposition based on the newly introduced framework of causal tensors, i.e., multilinear stochastic maps that transform source data into destination data. This framework enables us to express an indirect…

信息论 · 计算机科学 2020-05-04 David Sigtermans

Data from social media are providing unprecedented opportunities to investigate the processes that rule the dynamics of collective social phenomena. Here, we consider an information theoretical approach to define and measure the temporal…

The causal assumptions, the study design and the data are the elements required for scientific inference in empirical research. The research is adequately communicated only if all of these elements and their relations are described…

统计方法学 · 统计学 2015-05-01 Juha Karvanen

We present a unified mathematical derivation of the asymptotic behaviour of three of the main forms of \textit{directed transfer function} (DTF) complementing recent partial directed coherence (PDC) results \cite{Baccala2013}. Based on…

神经元与认知 · 定量生物学 2015-01-26 Luiz A. Baccalá , Daniel Y. Takahashi , Koichi Sameshima