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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

Causal processes in biomedicine may contain cycles, evolve over time or differ between populations. However, many graphical models cannot accommodate these conditions. We propose to model causation using a mixture of directed cyclic graphs…

Machine Learning · Statistics 2020-09-08 Eric V. Strobl

Causal discovery aims to uncover causal structure among a set of variables. Score-based approaches mainly focus on searching for the best Directed Acyclic Graph (DAG) based on a predefined score function. However, most of them are not…

Machine Learning · Computer Science 2023-03-13 Wenqian Li , Yinchuan Li , Shengyu Zhu , Yunfeng Shao , Jianye Hao , Yan Pang

Causal graphs are commonly used to understand and model complex systems. Researchers often construct these graphs from different perspectives, leading to significant variations for the same problem. Comparing causal graphs is, therefore,…

Machine Learning · Computer Science 2025-03-17 Ning-Yuan Georgia Liu , Flower Yang , Mohammad S. Jalali

Graphs arise naturally in many real-world applications including social networks, recommender systems, ontologies, biology, and computational finance. Traditionally, machine learning models for graphs have been mostly designed for static…

Machine Learning · Computer Science 2020-04-28 Seyed Mehran Kazemi , Rishab Goel , Kshitij Jain , Ivan Kobyzev , Akshay Sethi , Peter Forsyth , Pascal Poupart

An important task in data analysis is the discovery of causal relationships between observed variables. For continuous-valued data, linear acyclic causal models are commonly used to model the data-generating process, and the inference of…

We extend the theory of Cellular Automata to arbitrary, time-varying graphs. In other words we formalize, and prove theorems about, the intuitive idea of a labelled graph which evolves in time - but under the natural constraint that…

Discrete Mathematics · Computer Science 2012-05-09 Pablo Arrighi , Gilles Dowek

Directed acyclic graphs (DAGs) are commonly used to model causal relationships among random variables. In general, learning the DAG structure is both computationally and statistically challenging. Moreover, without additional information,…

Machine Learning · Statistics 2024-03-26 Ali Shojaie , Wenyu Chen

The introduction of highly automated vehicles on the public road may improve safety and comfort, although its success will depend on social acceptance. This requires trajectory planning methods that provide safe, proactive, and comfortable…

Optimization and Control · Mathematics 2023-03-09 Chris van der Ploeg , Michiel Braat , Beatrice Masini , Jochem Brouwer , Jan-Pieter Paardekooper

We present an approach to synthesizing new graph structures from empirically specified distributions. The generative model is an auto-decoder that learns to synthesize graphs from latent codes. The graph synthesis model is learned jointly…

Machine Learning · Computer Science 2020-06-05 Sohil Atul Shah , Vladlen Koltun

In knowledge-intensive tasks, especially in high-stakes domains like medicine and law, it is critical not only to retrieve relevant information but also to provide causal reasoning and explainability. Large language models (LLMs) have…

Artificial Intelligence · Computer Science 2025-03-18 Hang Luo , Jian Zhang , Chujun Li

Graph is a useful data structure to model various real life aspects like email communications, co-authorship among researchers, interactions among chemical compounds, and so on. Supporting such real life interactions produce a knowledge…

Data Structures and Algorithms · Computer Science 2016-11-11 Kifayat Ullah Khan , Waqas Nawaz , Young-Koo Lee

Directed acyclic graphs (DAGs) are a class of graphs commonly used in practice, with examples that include electronic circuits, Bayesian networks, and neural architectures. While many effective encoders exist for DAGs, it remains…

Machine Learning · Computer Science 2025-05-30 Michael Sun , Orion Foo , Gang Liu , Wojciech Matusik , Jie Chen

Synthetic data generation becomes prevalent as a solution to privacy leakage and data shortage. Generative models are designed to generate a realistic synthetic dataset, which can precisely express the data distribution for the real…

Machine Learning · Computer Science 2021-04-22 Bingyang Wen , Luis Oliveros Colon , K. P. Subbalakshmi , R. Chandramouli

We present a generative model for complex free-form structures such as stroke-based drawing tasks. While previous approaches rely on sequence-based models for drawings of basic objects or handwritten text, we propose a model that treats…

Machine Learning · Computer Science 2020-12-01 Emre Aksan , Thomas Deselaers , Andrea Tagliasacchi , Otmar Hilliges

String diagrams are an increasingly popular algebraic language for the analysis of graphical models of computations across different research fields. Whereas string diagrams have been thoroughly studied as semantic structures, much less…

Category Theory · Mathematics 2022-11-04 Paul Wilson , Fabio Zanasi

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…

Information Retrieval · Computer Science 2024-09-17 Emanuele Cavenaghi , Fabio Stella , Markus Zanker

Consider a graph having quantum systems lying at each node. Suppose that the whole thing evolves in discrete time steps, according to a global, unitary causal operator. By causal we mean that information can only propagate at a bounded…

Discrete Mathematics · Computer Science 2021-11-04 Pablo Arrighi , Simon Martiel

This article contributes to the discussion on the relationship between the Neyman-Rubin and the graphical frameworks for causal inference. We present specific examples of data-generating mechanisms - such as those involving undirected or…

Methodology · Statistics 2025-12-11 Tetiana Gorbach , Xavier de Luna , Juha Karvanen , Ingeborg Waernbaum

Diagrams are widely used in teaching computer science courses. They are useful in subjects such as automata and formal languages, data structures, etc. These diagrams, often drawn by students during exams or assignments, vary in structure,…

Computer Vision and Pattern Recognition · Computer Science 2026-03-10 Ethan Young , Zichun Wang , Aiden Taylor , Chance Jewell , Julian Myers , Satya Sri Rajiteswari Nimmagadda , Anthony White , Aniruddha Maiti , Ananya Jana
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