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Classical causal and statistical inference methods typically assume the observed data consists of independent realizations. However, in many applications this assumption is inappropriate due to a network of dependences between units in the…

Machine Learning · Computer Science 2019-07-02 Rohit Bhattacharya , Daniel Malinsky , Ilya Shpitser

We study the data-driven selection of causal graphical models using constraint-based algorithms, which determine the existence or non-existence of edges (causal connections) in a graph based on testing a series of conditional independence…

Methodology · Statistics 2026-04-29 Daniel Malinsky

In this paper, we propose a new type of graph, denoted as "embedded-graph", and its theory, which employs a distributed representation to describe the relations on the graph edges. Embedded-graphs can express linguistic and complicated…

Discrete Mathematics · Computer Science 2017-09-15 Atsushi Yokoyama

Skepticism about the assumption of no unmeasured confounding, also known as exchangeability, is often warranted in making causal inferences from observational data; because exchangeability hinges on an investigator's ability to accurately…

Methodology · Statistics 2023-02-22 Yifan Cui , Hongming Pu , Xu Shi , Wang Miao , Eric Tchetgen Tchetgen

When engaging in end-to-end graph representation learning with Graph Neural Networks (GNNs), the intricate causal relationships and rules inherent in graph data pose a formidable challenge for the model in accurately capturing authentic…

Machine Learning · Computer Science 2024-06-14 Hang Gao , Peng Qiao , Yifan Jin , Fengge Wu , Jiangmeng Li , Changwen Zheng

In this paper, we analyze the applicability of the Causal Identification algorithm to causal time series graphs with latent confounders. Since these graphs extend over infinitely many time steps, deciding whether causal effects across…

Machine Learning · Computer Science 2025-04-30 Erik Jahn , Karthik Karnik , Leonard J. Schulman

Graphical causal models are an important tool for knowledge discovery because they can represent both the causal relations between variables and the multivariate probability distributions over the data. Once learned, causal graphs can be…

Artificial Intelligence · Computer Science 2017-04-11 Andrew J Sedgewick , Joseph D. Ramsey , Peter Spirtes , Clark Glymour , Panayiotis V. Benos

Learning the causal structure that underlies data is a crucial step towards robust real-world decision making. The majority of existing work in causal inference focuses on determining a single directed acyclic graph (DAG) or a Markov…

Machine Learning · Computer Science 2021-06-15 Yashas Annadani , Jonas Rothfuss , Alexandre Lacoste , Nino Scherrer , Anirudh Goyal , Yoshua Bengio , Stefan Bauer

Existing identification results in proximal causal inference often focus on marginal interventional distributions using standard outcome or treatment bridge functions. These methods do not generally identify joint interventional…

Methodology · Statistics 2026-05-20 Constantin Schott

The graph of a Bayesian Network (BN) can be machine learned, determined by causal knowledge, or a combination of both. In disciplines like bioinformatics, applying BN structure learning algorithms can reveal new insights that would…

Artificial Intelligence · Computer Science 2021-02-03 Anthony C. Constantinou , Norman Fenton , Martin Neil

Structured prediction tasks in machine learning involve the simultaneous prediction of multiple labels. This is typically done by maximizing a score function on the space of labels, which decomposes as a sum of pairwise elements, each…

Machine Learning · Computer Science 2014-09-23 Amir Globerson , Tim Roughgarden , David Sontag , Cafer Yildirim

We propose a novel method of introducing structure into existing machine learning techniques by developing structure-based similarity and distance measures. To learn structural information, low-dimensional structure of the data is captured…

Machine Learning · Statistics 2011-10-27 Joseph Wang , Venkatesh Saligrama , David A. Castañón

This tutorial provides a concise introduction to modern causal modeling by integrating potential outcomes and graphical methods. We motivate causal questions such as counterfactual reasoning under interventions and define binary treatments…

Methodology · Statistics 2025-06-27 Gauranga Kumar Baishya

The aim in many sciences is to understand the mechanisms that underlie the observed distribution of variables, starting from a set of initial hypotheses. Causal discovery allows us to infer mechanisms as sets of cause and effect…

Machine Learning · Computer Science 2025-03-05 Ashka Shah , Adela DePavia , Nathaniel Hudson , Ian Foster , Rick Stevens

We present a framework for embedding graph structured data into a vector space, taking into account node features and topology of a graph into the optimal transport (OT) problem. Then we propose a novel distance between two graphs, named…

Machine Learning · Computer Science 2023-07-04 Dai Hai Nguyen , Koji Tsuda

Recent developments in causal inference have greatly shifted the interest from estimating the average treatment effect to the individual treatment effect. In this article, we improve the predictive accuracy of representation learning and…

Machine Learning · Statistics 2025-08-05 Yang Sun , Wenbin Lu , Yi-Hui Zhou

Mapper graphs are widely used tools in topological data analysis and visualization. They can be understood as discrete approximations of Reeb graphs, providing insight into the shape and connectivity of complex data. Given a…

Computational Geometry · Computer Science 2026-04-17 Erin Wolf Chambers , Ishika Ghosh , Elizabeth Munch , Sarah Percival , Bei Wang

In this paper, the causal bandit problem is investigated, with the objective of maximizing the long-term reward by selecting an optimal sequence of interventions on nodes in an unknown causal graph. It is assumed that both the causal…

Machine Learning · Computer Science 2025-06-30 Chen Peng , Di Zhang , Urbashi Mitra

Based on the glocal HIM metric and its induced graph kernel, we propose a novel solution in differential network analysis that integrates network comparison and classification tasks. The HIM distance is defined as the one-parameter family…

Molecular Networks · Quantitative Biology 2016-02-02 Giuseppe Jurman , Michele Filosi , Samantha Riccadonna , Roberto Visintainer , Cesare Furlanello

Extracting causal relationships from observed correlations is a growing area in probabilistic reasoning, originating with the seminal work of Pearl and others from the early 1990s. This paper develops a new, categorically oriented view…

Logic in Computer Science · Computer Science 2019-07-30 Bart Jacobs , Aleks Kissinger , Fabio Zanasi