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Causal inference quantifies cause-effect relationships by estimating counterfactual parameters from data. This entails using \emph{identification theory} to establish a link between counterfactual parameters of interest and distributions…

机器学习 · 统计学 2020-04-17 Jaron J. R. Lee , Ilya Shpitser

The use of a hypothetical generative model was been suggested for causal analysis of observational data. The very assumption of a particular model is a commitment to a certain set of variables and therefore to a certain set of possible…

人工智能 · 计算机科学 2023-06-09 Nimrod Megiddo

The recent availability of huge, many-dimensional data sets, like those arising from genome-wide association studies (GWAS), provides many opportunities for strengthening causal inference. One popular approach is to utilize these…

机器学习 · 统计学 2020-12-21 Ioan Gabriel Bucur , Tom Claassen , Tom Heskes

Bayesian inference provides a rigorous framework to encapsulate our knowledge and uncertainty regarding various physical quantities in a well-defined and self-contained manner. Utilising modern tools, such Bayesian models can be constructed…

高能物理 - 格点 · 物理学 2024-01-02 Julien Frison

Attack graphs are a powerful tool for security risk assessment by analysing network vulnerabilities and the paths attackers can use to compromise network resources. The uncertainty about the attacker's behaviour makes Bayesian networks…

密码学与安全 · 计算机科学 2016-11-07 Luis Muñoz-González , Daniele Sgandurra , Martín Barrère , Emil Lupu

The traditional two-stage approach to causal inference first identifies a single causal model (or equivalence class of models), which is then used to answer causal queries. However, this neglects any epistemic model uncertainty. In…

机器学习 · 计算机科学 2025-04-25 Christian Toth , Christian Knoll , Franz Pernkopf , Robert Peharz

All scientific interpretations of statistical outputs depend on background (auxiliary) assumptions that are rarely delineated or explicitly interrogated. These include not only the usual modeling assumptions, but also deeper assumptions…

统计方法学 · 统计学 2022-08-01 Sander Greenland , Zad Rafi , Robert Matthews , Megan Higgs

Causal inference aids researchers in discovering cause-and-effect relationships, leading to scientific insights. Accurate causal estimation requires identifying confounding variables to avoid false discoveries. Pearl's causal model uses…

机器学习 · 计算机科学 2025-04-22 Anna Zeng , Michael Cafarella , Batya Kenig , Markos Markakis , Brit Youngmann , Babak Salimi

Many network analysis and graph learning techniques are based on models of random walks which require to infer transition matrices that formalize the underlying stochastic process in an observed graph. For weighted graphs, it is common to…

统计方法学 · 统计学 2022-10-28 Vincenzo Perri , Luka V. Petrović , Ingo Scholtes

Selective inference aims at providing valid inference after a data-driven selection of models or hypotheses. It is essential to avoid overconfident results and replicability issues. While significant advances have been made in this area for…

统计方法学 · 统计学 2025-03-14 Matteo D'Alessandro , Magne Thoresen

Inferring causal effects of treatments is a central goal in many disciplines. The potential outcomes framework is a main statistical approach to causal inference, in which a causal effect is defined as a comparison of the potential outcomes…

统计方法学 · 统计学 2018-01-04 Peng Ding , Fan Li

Graphical models based on Directed Acyclic Graphs (DAGs) are widely used to answer causal questions across a variety of scientific and social disciplines. However, observational data alone cannot distinguish in general between DAGs…

统计方法学 · 统计学 2022-06-03 Federico Castelletti , Guido Consonni

We develop a design-based framework for causal inference that accommodates random potential outcomes without introducing outcome models, thereby extending the classical Neyman--Rubin paradigm in which outcomes are treated as fixed. By…

统计方法学 · 统计学 2026-01-14 Yukai Yang

This work combines the free energy principle from cognitive neuroscience and the ensuing active inference dynamics with recent advances in variational inference in deep generative models, and evolution strategies to introduce the "deep…

神经元与认知 · 定量生物学 2018-10-24 Kai Ueltzhöffer

Estimating conditional independence graphs from high-dimensional Gaussian data is challenging because methods must detect relevant edges while rigorously controlling statistical errors. We propose a Bayesian framework based on a prior…

统计方法学 · 统计学 2026-04-21 Roland B. Sogan , Tabea Rebafka , Fanny Villers

The rapid proliferation of high-quality synthetic data -- generated by advanced AI models or collected as auxiliary data from related tasks -- presents both opportunities and challenges for statistical inference. This paper introduces a…

统计方法学 · 统计学 2026-02-19 Meshi Bashari , Yonghoon Lee , Roy Maor Lotan , Edgar Dobriban , Yaniv Romano

Causal inference, as a major research area in statistics and data science, plays a central role across diverse fields such as medicine, economics, education, and the social sciences. Design-based causal inference begins with randomized…

统计方法学 · 统计学 2025-12-01 Xin Lu , Wanjia Fu , Hongzi Li , Haoyang Yu , Honghao Zhang , Ke Zhu , Hanzhong Liu

Reliable predictive uncertainty estimation plays an important role in enabling the deployment of neural networks to safety-critical settings. A popular approach for estimating the predictive uncertainty of neural networks is to define a…

机器学习 · 统计学 2023-12-29 Tim G. J. Rudner , Zonghao Chen , Yee Whye Teh , Yarin Gal

Causal discovery aims to infer causal relationships among variables from observational data, typically represented by a directed acyclic graph (DAG). Most existing methods assume independent and identically distributed observations, an…

统计方法学 · 统计学 2026-03-27 Alex Chen , Qing Zhou

When data are missing due to at most one cause from some time to next time, we can make sampling distribution inferences about the parameter of the data by modeling the missing-data mechanism correctly. Proverbially, in case its mechanism…

统计方法学 · 统计学 2014-07-21 Kosuke Morikawa , Yutaka Kano