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Suppose we observe samples of a subset of a collection of random variables. No additional information is provided about the number of latent variables, nor of the relationship between the latent and observed variables. Is it possible to…

Statistics Theory · Mathematics 2012-11-05 Venkat Chandrasekaran , Pablo A. Parrilo , Alan S. Willsky

We consider structure discovery of undirected graphical models from observational data. Inferring likely structures from few examples is a complex task often requiring the formulation of priors and sophisticated inference procedures.…

Machine Learning · Statistics 2017-08-04 Eugene Belilovsky , Kyle Kastner , Gaël Varoquaux , Matthew Blaschko

For two causal structures with the same set of visible variables, one is said to observationally dominate the other if the set of distributions over the visible variables realizable by the first contains the set of distributions over the…

Machine Learning · Statistics 2025-02-24 Marina Maciel Ansanelli , Elie Wolfe , Robert W. Spekkens

We consider the structure learning problem for graphical models that we call loosely connected Markov random fields, in which the number of short paths between any pair of nodes is small, and present a new conditional independence test…

Machine Learning · Statistics 2014-02-05 Rui Wu , R. Srikant , Jian Ni

We consider the task of simultaneous clustering of the two node sets involved in a bipartite network. The approach we adopt is based on use of the exact integrated complete likelihood for the latent block model. Using this allows one to…

Computation · Statistics 2015-05-19 Jason Wyse , Nial Friel , Pierre Latouche

To distinguish Markov equivalent graphs in causal discovery, it is necessary to restrict the structural causal model. Crucially, we need to be able to distinguish cause $X$ from effect $Y$ in bivariate models, that is, distinguish the two…

Machine Learning · Statistics 2025-11-19 Daniel Klippert , Alexander Marx

We propose to learn latent graphical models when data have mixed variables and missing values. This model could be used for further data analysis, including regression, classification, ranking etc. It also could be used for imputing missing…

Methodology · Statistics 2015-11-17 Xiao Li , Jinzhu Jia , Yuan Yao

Several approaches to graphically representing context-specific relations among jointly distributed categorical variables have been proposed, along with structure learning algorithms. While existing optimization-based methods have limited…

Machine Learning · Statistics 2024-10-17 Felix Leopoldo Rios , Alex Markham , Liam Solus

Finding an effective medical treatment often requires a search by trial and error. Making this search more efficient by minimizing the number of unnecessary trials could lower both costs and patient suffering. We formalize this problem as…

Machine Learning · Computer Science 2021-02-18 Samuel Håkansson , Viktor Lindblom , Omer Gottesman , Fredrik D. Johansson

In this paper, we propose a new greedy algorithm for sparse approximation, called SLS for Single L_1 Selection. SLS essentially consists of a greedy forward strategy, where the selection rule of a new component at each iteration is based on…

Optimization and Control · Mathematics 2021-02-12 Ramzi Ben Mhenni , Sébastien Bourguignon , Jérôme Idier

Causal structure learning from observational data is central to many scientific and policy domains, but the time series setting common to many disciplines poses several challenges due to temporal dependence. In this paper we focus on…

Machine Learning · Computer Science 2026-03-06 Irene Gema Castillo Mansilla , Urmi Ninad

Constraint-based methods are one of the main approaches for causal structure learning that are particularly valued as they are asymptotically guaranteed to find a structure that is Markov equivalent to the causal graph of the system. On the…

Machine Learning · Computer Science 2021-05-24 Ehsan Mokhtarian , Sina Akbari , AmirEmad Ghassami , Negar Kiyavash

This article presents a novel method for causal discovery with generalized structural equation models suited for analyzing diverse types of outcomes, including discrete, continuous, and mixed data. Causal discovery often faces challenges…

Methodology · Statistics 2023-10-26 Minjie Wang , Xiaotong Shen , Wei Pan

Identifying the causal structure of systems with multiple dynamic elements is critical to several scientific disciplines. The conventional approach is to conduct statistical tests of causality, for example with Granger Causality, between…

Machine Learning · Statistics 2022-03-22 Jacek P. Dmochowski

A fundamental challenge of scientific research is inferring causal relations based on observed data. One commonly used approach involves utilizing structural causal models that postulate noisy functional relations among interacting…

Methodology · Statistics 2024-08-13 David Strieder , Mathias Drton

Sparse goal-conditioned reinforcement learning can produce policies whose failures are hidden by aggregate success rates. We analyze trained goal-conditioned value policies through the deterministic functional graphs induced by greedy…

Machine Learning · Computer Science 2026-05-12 Shalley Dash

Finding a directed acyclic graph (DAG) that best encodes the conditional independence statements observable from data is a central question within causality. Algorithms that greedily transform one candidate DAG into another given a fixed…

Statistics Theory · Mathematics 2022-09-02 Svante Linusson , Petter Restadh , Liam Solus

Continuous causal discovery typically couples representation learning with structural optimization via non-convex acyclicity penalties, which subjects solvers to local optima and restricts scalability in high-dimensional regimes. We propose…

Machine Learning · Computer Science 2026-04-29 Rui Wu , Hong Xie

Graphical network inference is used in many fields such as genomics or ecology to infer the conditional independence structure between variables, from measurements of gene expression or species abundances for instance. In many practical…

Methodology · Statistics 2018-03-22 Geneviève Robin , Christophe Ambroise , Stéphane Robin

As standardly implemented in R or the Tetrad program, causal search algorithms used most widely or effectively by scientists have severe dimensionality constraints that make them inappropriate for big data problems without sacrificing…

Artificial Intelligence · Computer Science 2015-11-13 Joseph D. Ramsey