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Heckerman (1993) defined causal independence in terms of a set of temporal conditional independence statements. These statements formalized certain types of causal interaction where (1) the effect is independent of the order that causes are…

Artificial Intelligence · Computer Science 2015-05-19 David Heckerman , John S. Breese

The ability to predict the future in a given domain can be acquired by discovering empirically from experience certain temporal patterns that tend to repeat unerringly. Previous works in time series analysis allow one to make quantitative…

Artificial Intelligence · Computer Science 2013-04-12 Kaihu Chen

Conditional independence is a crucial concept supporting adequate modelling and efficient reasoning in probabilistics. In knowledge representation, the idea of conditional independence has also been introduced for specific formalisms, such…

Artificial Intelligence · Computer Science 2024-12-19 Jesse Heyninck

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

In this paper we explore representations of temporal knowledge based upon the formalism of Causal Probabilistic Networks (CPNs). Two different ?continuous-time? representations are proposed. In the first, the CPN includes variables…

Artificial Intelligence · Computer Science 2013-04-08 Carlo Berzuini , Riccardo Bellazzi , Silvana Quaglini

We present a representation of partial confidence in belief and preference that is consistent with the tenets of decision-theory. The fundamental insight underlying the representation is that if a person is not completely confident in a…

Artificial Intelligence · Computer Science 2013-04-11 David Heckerman , Holly B. Jimison

Temporally causal representation learning aims to identify the latent causal process from time series observations, but most methods require the assumption that the latent causal processes do not have instantaneous relations. Although some…

Machine Learning · Computer Science 2026-01-21 Zijian Li , Yifan Shen , Kaitao Zheng , Ruichu Cai , Xiangchen Song , Mingming Gong , Guangyi Chen , Kun Zhang

Bayesian networks have been used extensively in diagnostic tasks such as medicine, where they represent the dependency relations between a set of symptoms and a set of diseases. A criticism of this type of knowledge representation is that…

Artificial Intelligence · Computer Science 2013-03-25 Luis Enrique Sucar , Duncan F. Gillies

The aim of this paper is to discuss a recent result which shows that probabilistic inference in the presence of (unknown) causal mechanisms can be tractable for models that have traditionally been viewed as intractable. This result was…

Artificial Intelligence · Computer Science 2022-02-08 Adnan Darwiche

Estimating causal effects from observational data requires identifying valid adjustment sets. This task is especially challenging in realistic settings where latent confounding and feedback loops are present. Existing approaches typically…

Machine Learning · Computer Science 2026-05-08 Ana Leticia Garcez Vicente , Gijs van Seeventer , Saber Salehkaleybar

Identifying the underlying time-delayed latent causal processes in sequential data is vital for grasping temporal dynamics and making downstream reasoning. While some recent methods can robustly identify these latent causal variables, they…

Machine Learning · Computer Science 2024-05-31 Guangyi Chen , Yifan Shen , Zhenhao Chen , Xiangchen Song , Yuewen Sun , Weiran Yao , Xiao Liu , Kun Zhang

The era of big data has witnessed an increasing availability of observational data from mobile and social networking, online advertising, web mining, healthcare, education, public policy, marketing campaigns, and so on, which facilitates…

Machine Learning · Computer Science 2023-03-06 Zhixuan Chu , Ruopeng Li , Stephen Rathbun , Sheng Li

Despite the excelling performance of machine learning models, understanding their decisions remains a long-standing goal. Although commonly used attribution methods from explainable AI attempt to address this issue, they typically rely on…

Machine Learning · Computer Science 2025-11-20 Juan Miguel Lopez Alcaraz , Nils Strodthoff

Artificial intelligence models and methods commonly lack causal interpretability. Despite the advancements in interpretable machine learning (IML) methods, they frequently assign importance to features which lack causal influence on the…

Machine Learning · Computer Science 2024-01-29 Francisco Nunes Ferreira Quialheiro Simoes , Mehdi Dastani , Thijs van Ommen

We introduce a novel framework for temporal causal discovery and inference that addresses two key challenges: complex nonlinear dependencies and spurious correlations. Our approach employs a multi-layer Transformer-based time-series…

Machine Learning · Computer Science 2025-08-25 Jihua Huang , Yi Yao , Ajay Divakaran

Bayesian belief networks have grown to prominence because they provide compact representations for many problems for which probabilistic inference is appropriate, and there are algorithms to exploit this compactness. The next step is to…

Artificial Intelligence · Computer Science 2011-06-27 D. Poole , N. L. Zhang

Causal inference uses observations to infer the causal structure of the data generating system. We study a class of functional models that we call Time Series Models with Independent Noise (TiMINo). These models require independent residual…

Machine Learning · Statistics 2016-08-18 Jonas Peters , Dominik Janzing , Bernhard Schölkopf

A reliable knowledge structure is a prerequisite for building effective adaptive learning systems and intelligent tutoring systems. Pursuing an explainable and trustworthy knowledge structure, we propose a method for constructing causal…

Artificial Intelligence · Computer Science 2024-06-27 Yuang Wei , Yizhou Zhou , Yuan-Hao Jiang , Bo Jiang

Despite Large Language Models' remarkable capabilities, understanding their internal representations remains challenging. Mechanistic interpretability tools such as sparse autoencoders (SAEs) were developed to extract interpretable features…

Machine Learning · Computer Science 2026-01-06 Xiangchen Song , Jiaqi Sun , Zijian Li , Yujia Zheng , Kun Zhang

Whereas acausal Bayesian networks represent probabilistic independence, causal Bayesian networks represent causal relationships. In this paper, we examine Bayesian methods for learning both types of networks. Bayesian methods for learning…

Artificial Intelligence · Computer Science 2015-05-19 David Heckerman
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