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Model checking is usually based on a comprehensive traversal of the state space. Causality-based model checking is a radically different approach that instead analyzes the cause-effect relationships in a program. We give an overview on a…

计算机科学中的逻辑 · 计算机科学 2017-10-11 Bernd Finkbeiner , Andrey Kupriyanov

We consider linear non-Gaussian structural equation models that involve latent confounding. In this setting, the causal structure is identifiable, but, in general, it is not possible to identify the specific causal effects. Instead, a…

机器学习 · 统计学 2024-08-12 Daniela Schkoda , Elina Robeva , Mathias Drton

Inferring cause-effect relationships from observational data has gained significant attention in recent years, but most methods are limited to scalar random variables. In many important domains, including neuroscience, psychology, social…

机器学习 · 统计学 2025-06-06 Konstantin Göbler , Tobias Windisch , Mathias Drton

Discovering latent representations of the observed world has become increasingly more relevant in data analysis. Much of the effort concentrates on building latent variables which can be used in prediction problems, such as classification…

机器学习 · 计算机科学 2010-01-08 Ricardo Silva

We propose a new nonparametric procedure for the detection and estimation of multiple structural breaks in the autocovariance function of a multivariate (second- order) piecewise stationary process, which also identifies the components of…

统计理论 · 数学 2013-09-06 Philip Preuß , Ruprecht Puchstein , Holger Dette

A recent literature considers causal inference using noisy proxies for unobserved confounding factors. The proxies are divided into two sets that are independent conditional on the confounders. One set of proxies are `negative control…

计量经济学 · 经济学 2021-10-11 Ben Deaner

When observational data is available from practical studies and a directed cyclic graph for how various variables affect each other is known based on substantive understanding of the process, we consider a problem in which a control plan of…

统计方法学 · 统计学 2012-06-26 Manabu Kuroki , Zhihong Cai

Discovering the complete set of causal relations among a group of variables is a challenging unsupervised learning problem. Often, this challenge is compounded by the fact that there are latent or hidden confounders. When only observational…

机器学习 · 计算机科学 2021-01-19 Anqi Liu , Hao Liu , Tongxin Li , Saeed Karimi-Bidhendi , Yisong Yue , Anima Anandkumar

This work explores the tensor and combinatorial constructs underlying the linearised higher-order variational equations of a generic autonomous system along a particular solution. The main result of this paper is a compact yet explicit and…

可精确求解与可积系统 · 物理学 2015-02-11 Sergi Simon

A common assumption in causal inference from observational data is that there is no hidden confounding. Yet it is, in general, impossible to verify this assumption from a single dataset. Under the assumption of independent causal mechanisms…

统计方法学 · 统计学 2023-11-07 Rickard K. A. Karlsson , Jesse H. Krijthe

Many data-science applications involve detecting a shared signal between two high-dimensional variables. Using random matrix theory methods, we determine when such signal can be detected and reconstructed from sample correlations, despite…

无序系统与神经网络 · 物理学 2026-04-07 Arabind Swain , Sean Alexander Ridout , Ilya Nemenman

In this paper we present a comprehensive view of prominent causal discovery algorithms, categorized into two main categories (1) assuming acyclic and no latent variables, and (2) allowing both cycles and latent variables, along with…

人工智能 · 计算机科学 2017-09-13 Karamjit Singh , Garima Gupta , Vartika Tewari , Gautam Shroff

A typical problem in causal modeling is the instability of model structure learning, i.e., small changes in finite data can result in completely different optimal models. The present work introduces a novel causal modeling algorithm for…

Causality is receiving increasing attention by the artificial intelligence and machine learning communities. This paper gives an example of modelling a recommender system problem using causal graphs. Specifically, we approached the causal…

信息检索 · 计算机科学 2024-09-17 Emanuele Cavenaghi , Fabio Stella , Markus Zanker

At the heart of causal structure learning from observational data lies a deceivingly simple question: given two statistically dependent random variables, which one has a causal effect on the other? This is impossible to answer using…

机器学习 · 计算机科学 2020-10-13 Nikolaos Nikolaou , Konstantinos Sechidis

A linear non-Gaussian structural equation model called LiNGAM is an identifiable model for exploratory causal analysis. Previous methods estimate a causal ordering of variables and their connection strengths based on a single dataset.…

机器学习 · 统计学 2011-12-01 Shohei Shimizu

We consider learning the possible causal direction of two observed variables in the presence of latent confounding variables. Several existing methods have been shown to consistently estimate causal direction assuming linear or some type of…

机器学习 · 统计学 2014-05-21 Shohei Shimizu , Kenneth Bollen

Abstractions of causal models allow for the coarsening of models such that relations of cause and effect are preserved. Whereas abstractions focus on the relation between two models, in this paper we study a framework for causal embeddings…

人工智能 · 计算机科学 2026-03-02 Willem Schooltink , Fabio Massimo Zennaro

The inaccessibility of controlled randomized trials due to inherent constraints in many fields of science has been a fundamental issue in causal inference. In this paper, we focus on distinguishing the cause from effect in the bivariate…

机器学习 · 统计学 2021-02-23 Jean-Francois Ton , Dino Sejdinovic , Kenji Fukumizu

Identifying a coupled dynamical system out of many plausible candidates, each of which could serve as the underlying generator of some observed measurements, is a profoundly ill posed problem that commonly arises when modelling real world…

神经元与认知 · 定量生物学 2019-09-17 Amirhossein Jafarian , Peter Zeidman , Vladimir Litvak , Karl Friston