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Inferring causal effects of a treatment, intervention or policy from observational data is central to many applications. However, state-of-the-art methods for causal inference seldom consider the possibility that covariates have missing…

Methodology · Statistics 2020-02-26 Imke Mayer , Julie Josse , Félix Raimundo , Jean-Philippe Vert

This work presents a conceptual synthesis of causal discovery and inference frameworks, with a focus on how foundational assumptions -- causal sufficiency, causal faithfulness, and the causal Markov condition -- are formalized and…

Methodology · Statistics 2025-04-23 Hannah E. Correia

Statistics is sometimes described as the science of reasoning under uncertainty. Statistical models provide one view of this uncertainty, but what is frequently neglected is the 'invisible' portion of uncertainty: that assumed not to exist…

Methodology · Statistics 2026-03-18 Oliver L. Pescott , Robin J. Boyd , Gary D. Powney , Gavin B. Stewart

Long-term causal inference is an important but challenging problem across various scientific domains. To solve the latent confounding problem in long-term observational studies, existing methods leverage short-term experimental data.…

Machine Learning · Computer Science 2025-10-23 Weilin Chen , Ruichu Cai , Yuguang Yan , Zhifeng Hao , José Miguel Hernández-Lobato

Methods for inferring average causal effects have traditionally relied on two key assumptions: (i) the intervention received by one unit cannot causally influence the outcome of another; and (ii) units can be organized into non-overlapping…

Methodology · Statistics 2019-08-23 Eric J. Tchetgen Tchetgen , Isabel Fulcher , Ilya Shpitser

Causal inference from observational data requires assumptions. These assumptions range from measuring confounders to identifying instruments. Traditionally, causal inference assumptions have focused on estimation of effects for a single…

Machine Learning · Statistics 2019-03-04 Rajesh Ranganath , Adler Perotte

In real-life statistical data, it seems that conditional probabilities for the effect given their causes tend to be less complex and smoother than conditionals for causes, given their effects. We have recently proposed and tested methods…

Statistical Mechanics · Physics 2009-01-30 Dominik Janzing

Causal reasoning in relational domains is fundamental to studying real-world social phenomena in which individual units can influence each other's traits and behavior. Dynamics between interconnected units can be represented as an…

Artificial Intelligence · Computer Science 2022-05-10 Ragib Ahsan , David Arbour , Elena Zheleva

Bipartite experiments arise in various fields, in which the treatments are randomized over one set of units, while the outcomes are measured over another separate set of units. However, existing methods often rely on strong model…

Methodology · Statistics 2025-04-16 Sizhu Lu , Lei Shi , Yue Fang , Wenxin Zhang , Peng Ding

Causal inference is at the heart of empirical research in natural and social sciences and is critical for scientific discovery and informed decision making. The gold standard in causal inference is performing randomized controlled trials;…

Databases · Computer Science 2020-04-09 Babak Salimi , Harsh Parikh , Moe Kayali , Sudeepa Roy , Lise Getoor , Dan Suciu

Causal inference is the process of capturing cause-effect relationship among variables. Most existing works focus on dealing with structured data, while mining causal relationship among factors from unstructured data, like text, has been…

Computation and Language · Computer Science 2021-04-22 Xiao Liu , Da Yin , Yansong Feng , Yuting Wu , Dongyan Zhao

Evaluating the causal effect of an intervention on multivariate outcomes is challenging when the outcomes are interdependent and derived rather than directly observed. Effective connectivity, which summarizes the directional neural…

Methodology · Statistics 2026-04-02 Haiyue Song , Ani Eloyan , Youjin Lee

Inference of causality in time series has been principally based on the prediction paradigm. Nonetheless, the predictive causality approach may overlook the simultaneous and reciprocal nature of causal interactions observed in real world…

Data Analysis, Statistics and Probability · Physics 2018-10-24 Albert C. Yang , Norden E. Huang , Chung-Kang Peng

Causality is a non-obvious concept that is often considered to be related to temporality. In this paper we present a number of past and present approaches to the definition of temporality and causality from philosophical, physical, and…

Machine Learning · Computer Science 2010-07-16 Kamran Karimi

The recent success of Bayesian methods in neuroscience and artificial intelligence gives rise to the hypothesis that the brain is a Bayesian machine. Since logic and learning are both practices of the human brain, it leads to another…

Artificial Intelligence · Computer Science 2021-01-28 Hiroyuki Kido , Keishi Okamoto

This paper introduces a causation coefficient which is defined in terms of probabilistic causal models. This coefficient is suggested as the natural causal analogue of the Pearson correlation coefficient and permits comparing causation and…

Methodology · Statistics 2017-08-18 Joshua Brulé

The work demonstrates that brain might reflect the external world causal relationships in the form of a logically consistent and prognostic model of reality, which shows up as consciousness. The paper analyses and solves the problem of…

Artificial Intelligence · Computer Science 2025-12-09 Evgenii Vityaev

Of late, in order to have better acceptability among various domain, researchers have argued that machine intelligence algorithms must be able to provide explanations that humans can understand causally. This aspect, also known as…

Machine Learning · Computer Science 2022-08-24 Satyam Kumar , Vadlamani Ravi

A structural causal model is made of endogenous (manifest) and exogenous (latent) variables. We show that endogenous observations induce linear constraints on the probabilities of the exogenous variables. This allows to exactly map a causal…

Artificial Intelligence · Computer Science 2020-08-04 Marco Zaffalon , Alessandro Antonucci , Rafael Cabañas

How does a cause lead to an effect, and which intermediate causal steps explain their connection? This work scrutinizes the mechanistic causal reasoning capabilities of large language models (LLMs) to answer these questions through the task…

Artificial Intelligence · Computer Science 2026-03-19 Liesbeth Allein , Nataly Pineda-Castañeda , Andrea Rocci , Marie-Francine Moens