Search Results for author: Liam Solus

Found 7 papers, 0 papers with code

Scalable Structure Learning for Sparse Context-Specific Causal Systems

no code implementations12 Feb 2024 Felix Leopoldo Rios, Alex Markham, Liam Solus

Several approaches to graphically representing context-specific relations among jointly distributed categorical variables have been proposed, along with structure learning algorithms.

Neuro-Causal Factor Analysis

no code implementations31 May 2023 Alex Markham, MingYu Liu, Bryon Aragam, Liam Solus

Factor analysis (FA) is a statistical tool for studying how observed variables with some mutual dependences can be expressed as functions of mutually independent unobserved factors, and it is widely applied throughout the psychological, biological, and physical sciences.

Causal Discovery

Combinatorial and algebraic perspectives on the marginal independence structure of Bayesian networks

no code implementations3 Oct 2022 Danai Deligeorgaki, Alex Markham, Pratik Misra, Liam Solus

We consider the problem of estimating the marginal independence structure of a Bayesian network from observational data, learning an undirected graph we call the unconditional dependence graph.

A Transformational Characterization of Unconditionally Equivalent Bayesian Networks

no code implementations1 Mar 2022 Alex Markham, Danai Deligeorgaki, Pratik Misra, Liam Solus

We consider the problem of characterizing Bayesian networks up to unconditional equivalence, i. e., when directed acyclic graphs (DAGs) have the same set of unconditional $d$-separation statements.

Greedy Causal Discovery is Geometric

no code implementations5 Mar 2021 Svante Linusson, Petter Restadh, Liam Solus

We show that the moves of the aforementioned algorithms are included within classes of edges of $\operatorname{CIM}_p$ and that restrictions placed on the skeleton of the candidate DAGs correspond to faces of $\operatorname{CIM}_p$.

Causal Discovery Statistics Theory Combinatorics Statistics Theory

Representation of Context-Specific Causal Models with Observational and Interventional Data

no code implementations22 Jan 2021 Eliana Duarte, Liam Solus

We consider the problem of representing causal models that encode context-specific information for discrete data using a proper subclass of staged tree models which we call CStrees.

Permutation-based Causal Inference Algorithms with Interventions

no code implementations NeurIPS 2017 Yuhao Wang, Liam Solus, Karren Yang, Caroline Uhler

Learning directed acyclic graphs using both observational and interventional data is now a fundamentally important problem due to recent technological developments in genomics that generate such single-cell gene expression data at a very large scale.

Causal Inference

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