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The analysis of system reliability has often benefited from graphical tools such as fault trees and Bayesian networks. In this article, instead of conventional graphical tools, we apply a probabilistic graphical model called the chain event…

Methodology · Statistics 2024-04-25 Xuewen Yu , Jim Q. Smith

Chain Event Graphs (CEGs) are a family of event-based graphical models that represent context-specific conditional independences typically exhibited by asymmetric state space problems. The class of continuous time dynamic CEGs (CT-DCEGs)…

Artificial Intelligence · Computer Science 2020-06-30 Aditi Shenvi , Jim Q. Smith

Discrete Bayesian Networks have been very successful as a framework both for inference and for expressing certain causal hypotheses. In this paper we present a class of graphical models called the chain event graph (CEG) models, that…

Methodology · Statistics 2007-09-24 Eva Riccomagno , Jim Q. Smith

Temporal knowledge graph reasoning (TKGR) is increasingly gaining attention for its ability to extrapolate new events from historical data, thereby enriching the inherently incomplete temporal knowledge graphs. Existing graph-based…

Machine Learning · Computer Science 2025-01-27 Jinze Sun , Yongpan Sheng , Lirong He , Yongbin Qin , Ming Liu , Tao Jia

A Dynamic Chain Event Graph (DCEG) provides a rich tree-based framework for modelling a dynamic process with highly asymmetric developments. An N Time-Slice DCEG (NT-DCEG) is a useful subclass of the DCEG class that exhibits a specific type…

Machine Learning · Statistics 2018-10-23 Rodrigo A. Collazo , Jim Q. Smith

Temporal networks are increasingly being used to model the interactions of complex systems. Most studies require the temporal aggregation of edges (or events) into discrete time steps to perform analysis. In this article we describe a…

Social and Information Networks · Computer Science 2017-10-16 Andrew Mellor

Chain Event Graphs (CEGs) are a recent family of probabilistic graphical models - a generalisation of Bayesian Networks - providing an explicit representation of structural zeros, structural missing values and context-specific conditional…

Machine Learning · Statistics 2021-12-17 Aditi Shenvi , Jim Q. Smith

Retrieval-augmented generation (RAG) based on large language models often falters on narrative documents with inherent temporal structures. Standard unstructured RAG methods rely solely on embedding-similarity matching and lack any general…

Information Retrieval · Computer Science 2025-06-09 Ze Yu Zhang , Zitao Li , Yaliang Li , Bolin Ding , Bryan Kian Hsiang Low

Understanding the evolution of connectivity in spatiotemporal systems requires mathematical frameworks capable of encoding not only instantaneous interactions but also their cumulative causal structure. In this work, we introduce the…

Combinatorics · Mathematics 2026-04-30 Marcilio Ferreira dos Santos , Cleiton de Lima Ricardo

Structural Equation Models (SEM) are the standard approach to representing causal dependencies between variables in causal models. In this paper we propose a new interpretation of SEMs when reasoning about Actual Causality, in which SEMs…

Artificial Intelligence · Computer Science 2025-12-23 Maksim Gladyshev , Natasha Alechina , Mehdi Dastani , Dragan Doder , Brian Logan

Structural causal models are the basic modelling unit in Pearl's causal theory; in principle they allow us to solve counterfactuals, which are at the top rung of the ladder of causation. But they often contain latent variables that limit…

Artificial Intelligence · Computer Science 2021-11-23 Marco Zaffalon , Alessandro Antonucci , Rafael Cabañas

Various graphical models are widely used in reliability to provide a qualitative description of domain experts hypotheses about how a system might fail. Here we argue that the semantics developed within standard causal Bayesian networks are…

Statistics Theory · Mathematics 2021-10-05 Xuewen Yu , Jim Q. Smith

When dealing with time series data, causal inference methods often employ structural vector autoregressive (SVAR) processes to model time-evolving random systems. In this work, we rephrase recursive SVAR processes with possible latent…

Statistics Theory · Mathematics 2024-08-19 Nicolas-Domenic Reiter , Andreas Gerhardus , Jonas Wahl , Jakob Runge

Causal models, also known as Structural Equation Models (SEM), are a well-known formalism for representing and reasoning about causal dependencies between events. In this paper, we show that Temporal SEMs (TSEMs), which extend SEMs to…

Formal Languages and Automata Theory · Computer Science 2026-05-08 Maksim Gladyshev , Natasha Alechina , Brian Logan

Structural Causal Explanations (SCEs) can be used to automatically generate explanations in natural language to questions about given data that are grounded in a (possibly learned) causal model. Unfortunately they work for small data only.…

Artificial Intelligence · Computer Science 2025-06-05 Sebastian Rödling , Matej Zečević , Devendra Singh Dhami , Kristian Kersting

Knowledge graph embedding (KGE) focuses on representing the entities and relations of a knowledge graph (KG) into the continuous vector spaces, which can be employed to predict the missing triples to achieve knowledge graph completion…

Computation and Language · Computer Science 2023-07-25 Yichi Zhang , Wen Zhang

Event temporal graphs have been shown as convenient and effective representations of complex temporal relations between events in text. Recent studies, which employ pre-trained language models to auto-regressively generate linearised graphs…

Computation and Language · Computer Science 2024-04-03 Xingwei Tan , Yuxiang Zhou , Gabriele Pergola , Yulan He

A structural causal model is made of endogenous (manifest) and exogenous (latent) variables. We show that endogenous observations induce linear constraints on the probabilities of the exogenous variables. This allows to exactly map a causal…

Artificial Intelligence · Computer Science 2020-08-04 Marco Zaffalon , Alessandro Antonucci , Rafael Cabañas

Procedural Multimodal Documents (PMDs) organize textual instructions and corresponding images step by step. Comprehending PMDs and inducing their representations for the downstream reasoning tasks is designated as Procedural MultiModal…

Computation and Language · Computer Science 2022-04-07 Huibin Zhang , Zhengkun Zhang , Yao Zhang , Jun Wang , Yufan Li , Ning jiang , Xin wei , Zhenglu Yang

The paper concerns the problem of predicting the effect of actions or interventions on a system from a combination of (i) statistical data on a set of observed variables, and (ii) qualitative causal knowledge encoded in the form of a…

Artificial Intelligence · Computer Science 2012-07-02 Carlos Brito , Judea Pearl
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