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In this work, we discover that causal inference provides a promising approach to capture heterophilic message-passing in Graph Neural Network (GNN). By leveraging cause-effect analysis, we can discern heterophilic edges based on asymmetric…

Machine Learning · Computer Science 2024-11-28 Botao Wang , Jia Li , Heng Chang , Keli Zhang , Fugee Tsung

Entropic causal inference is a recent framework for learning the causal graph between two variables from observational data by finding the information-theoretically simplest structural explanation of the data, i.e., the model with smallest…

Machine Learning · Computer Science 2025-09-23 Spencer Compton , Kristjan Greenewald , Dmitriy Katz , Murat Kocaoglu

We study the problem of efficiently estimating the effect of an intervention on a single variable (atomic interventions) using observational samples in a causal Bayesian network. Our goal is to give algorithms that are efficient in both…

Machine Learning · Computer Science 2020-08-07 Arnab Bhattacharyya , Sutanu Gayen , Saravanan Kandasamy , Ashwin Maran , N. V. Vinodchandran

Probabilistic Graphical Bayesian models of causation have continued to impact on strategic analyses designed to help evaluate the efficacy of different interventions on systems. However, the standard causal algebras upon which these…

Inferring the causal structure of a system typically requires interventional data, rather than just observational data. Since interventional experiments can be costly, it is preferable to select interventions that yield the maximum amount…

Methodology · Statistics 2021-03-30 Michele Zemplenyi , Jeffrey W. Miller

Faced with data-driven policies, individuals will manipulate their features to obtain favorable decisions. While earlier works cast these manipulations as undesirable gaming, recent works have adopted a more nuanced causal framing in which…

Machine Learning · Computer Science 2023-02-22 Tom Yan , Shantanu Gupta , Zachary Lipton

Causal structure discovery from observational data is fundamental to the causal understanding of autonomous systems such as medical decision support systems, advertising campaigns and self-driving cars. This is essential to solve well-known…

Evaluating graphs learned by causal discovery algorithms is difficult: The number of edges that differ between two graphs does not reflect how the graphs differ with respect to the identifying formulas they suggest for causal effects. We…

Machine Learning · Statistics 2024-07-12 Leonard Henckel , Theo Würtzen , Sebastian Weichwald

In graph theory, the longest path problem is the problem of finding a simple path of maximum length in a given graph. For some small classes of graphs, the problem can be solved in polynomial time [2, 4], but it remains NP-hard on general…

Data Structures and Algorithms · Computer Science 2014-09-15 Lajos L. Pongrácz

Learning causal relations from observational data is a fundamental problem with wide-ranging applications across many fields. Constraint-based methods infer the underlying causal structure by performing conditional independence tests.…

Machine Learning · Computer Science 2026-03-24 Marc Franquesa Monés , Jiaqi Zhang , Caroline Uhler

Identifying variables responsible for changes to a biological system enables applications in drug target discovery and cell engineering. Given a pair of observational and interventional datasets, the goal is to isolate the subset of…

Machine Learning · Computer Science 2025-06-02 Menghua Wu , Umesh Padia , Sean H. Murphy , Regina Barzilay , Tommi Jaakkola

This paper focuses on the design of spatial experiments to optimize the amount of information derived from the experimental data and enhance the accuracy of the resulting causal effect estimator. We propose a surrogate function for the mean…

Machine Learning · Computer Science 2025-08-29 Jin Zhu , Jingyi Li , Hongyi Zhou , Yinan Lin , Zhenhua Lin , Chengchun Shi

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

The fundamental challenge in causal induction is to infer the underlying graph structure given observational and/or interventional data. Most existing causal induction algorithms operate by generating candidate graphs and evaluating them…

Graph coloring is a fundamental problem in combinatorics with many applications in practice. In this problem, the vertices in a given graph must be colored by using the least number of colors in such a way that a vertex has a different…

Data Structures and Algorithms · Computer Science 2020-08-27 Arda Asik , Ibrahim Bugra Demir , Berker Demirel , Baris Batuhan Topal , Kamer Kaya

We consider the exploration problem: an agent equipped with a depth sensor must map out a previously unknown environment using as few sensor measurements as possible. We propose an approach based on supervised learning of a greedy…

Machine Learning · Computer Science 2022-03-29 Louis Ly , Yen-Hsi Richard Tsai

Causal structure learning from observational data remains a non-trivial task due to various factors such as finite sampling, unobserved confounding factors, and measurement errors. Constraint-based and score-based methods tend to suffer…

Machine Learning · Computer Science 2022-11-09 Rezaur Rashid , Jawad Chowdhury , Gabriel Terejanu

Detecting critical nodes in sparse graphs is important in a variety of application domains, such as network vulnerability assessment, epidemic control, and drug design. The critical node problem (CNP) aims to find a set of critical nodes…

Machine Learning · Computer Science 2024-05-09 Xuwei Tan , Yangming Zhou , MengChu Zhou , Zhang-Hua Fu

We deal with algorithmic techniques for minimal cost input-connectivity while maintaining controllability of linear systems. The input matrix is assumed to be constrained in the sense that the set of states that each input (if present) can…

Optimization and Control · Mathematics 2019-08-27 Priyanka Dey , Niranjan Balachandran , Debasish Chatterjee

Robustness of decision rules to shifts in the data-generating process is crucial to the successful deployment of decision-making systems. Such shifts can be viewed as interventions on a causal graph, which capture (possibly hypothetical)…

Artificial Intelligence · Computer Science 2021-05-20 Benjie Wang , Clare Lyle , Marta Kwiatkowska