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It has become increasingly common nowadays to collect observations of feature and response pairs from different environments. As a consequence, one has to apply learned predictors to data with a different distribution due to distribution…

Methodology · Statistics 2023-10-31 Kang Du , Yu Xiang

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

Understanding how urban systems and traffic dynamics co-evolve is crucial for advancing sustainable and resilient cities. However, their bidirectional causal relationships remain underexplored due to challenges of simultaneously inferring…

Physics and Society · Physics 2025-10-30 Yatao Zhang , Ye Hong , Song Gao , Martin Raubal

Causal generative modeling is essential for developing reliable and transparent AI systems capable of counterfactual reasoning. While existing approaches focus on integrating causal constraints during the training of generative models, they…

Machine Learning · Computer Science 2026-05-25 Aneesh Komanduri , Xintao Wu

In observational studies, treatment may be adapted to covariates at several times without a fixed protocol, in continuous time. Treatment influences covariates, which influence treatment, which influences covariates, and so on. Then even…

Statistics Theory · Mathematics 2015-09-02 Judith J. Lok

We propose a partial information decomposition based on the newly introduced framework of causal tensors, i.e., multilinear stochastic maps that transform source data into destination data. This framework enables us to express an indirect…

Information Theory · Computer Science 2020-05-04 David Sigtermans

This manuscript contributes a general and practical framework for casting a Markov process model of a system at equilibrium as a structural causal model, and carrying out counterfactual inference. Markov processes mathematically describe…

Machine Learning · Statistics 2019-11-07 Robert Osazuwa Ness , Kaushal Paneri , Olga Vitek

The abundance of fine-grained spatio-temporal data, such as traffic sensor networks, offers vast opportunities for scientific discovery. However, inferring causal relationships from such observational data remains challenging, particularly…

Machine Learning · Statistics 2025-12-01 Xintong Li , Haoran Zhang , Xiao Zhou

We generalize well-known results on structural identifiability of vector autoregressive models (VAR) to the case where the innovation covariance matrix has reduced rank. Structural singular VAR models appear, for example, as solutions of…

Econometrics · Economics 2020-12-08 Bernd Funovits , Alexander Braumann

Accurate and reliable prediction has profound implications to a wide range of applications. In this study, we focus on an instance of spatio-temporal learning problem--traffic prediction--to demonstrate an advanced deep learning model…

Machine Learning · Computer Science 2024-08-27 Pingping Dong , Xiao-Lin Wang , Indranil Bose , Kam K. H. Ng , Xiaoning Zhang , Xiaoge Zhang

This research addresses the challenge of conducting interpretable causal inference between a binary treatment and its resulting outcome when not all confounders are known. Confounders are factors that have an influence on both the treatment…

Machine Learning · Computer Science 2023-10-24 Sohaib Kiani , Jared Barton , Jon Sushinsky , Lynda Heimbach , Bo Luo

Causal inference often hinges on strong assumptions - such as no unmeasured confounding or perfect compliance - that are rarely satisfied in practice. Partial identification offers a principled alternative: instead of relying on…

Machine Learning · Computer Science 2025-08-20 Tobias Maringgele

It is shown that the causal structure associated to string-like solutions of the Fadeev-Niemi (FN) model is described by an effective metric. Remarkably, the surfaces characterising the causal replacement depend on the energy momentum…

Mathematical Physics · Physics 2015-03-05 Érico Goulart

Understanding causal mechanisms in complex systems requires evaluating path-specific effects (PSEs) in multi-mediator models. Identification of PSEs traditionally relies on the demanding cross-world independence assumption. To relax this,…

Methodology · Statistics 2025-10-17 En-Yu Lai , Jih-Chang Yu , Yen-Tsung Huang

We study causal inference in a multi-environment setting, in which the functional relations for producing the variables from their direct causes remain the same across environments, while the distribution of exogenous noises may vary. We…

Machine Learning · Computer Science 2017-05-29 AmirEmad Ghassami , Saber Salehkaleybar , Negar Kiyavash , Kun Zhang

We study the computational complexity of counterfactual reasoning in relation to the complexity of associational and interventional reasoning on structural causal models (SCMs). We show that counterfactual reasoning is no harder than…

Artificial Intelligence · Computer Science 2023-05-22 Yunqiu Han , Yizuo Chen , Adnan Darwiche

Counterfactual explanations provide ways of achieving a favorable model outcome with minimum input perturbation. However, counterfactual explanations can also be leveraged to reconstruct the model by strategically training a surrogate model…

Machine Learning · Computer Science 2024-11-13 Pasan Dissanayake , Sanghamitra Dutta

General Relativity receives quantum corrections relevant at cosmological distance scales from the conformal scalar degrees of freedom required by the trace anomaly of the quantum stress tensor in curved space. In the theory including the…

General Relativity and Quantum Cosmology · Physics 2012-09-25 Emil Mottola

Explainability methods for NLP systems encounter a version of the fundamental problem of causal inference: for a given ground-truth input text, we never truly observe the counterfactual texts necessary for isolating the causal effects of…

Computation and Language · Computer Science 2022-09-29 Zhengxuan Wu , Karel D'Oosterlinck , Atticus Geiger , Amir Zur , Christopher Potts

Can the direction of time and the causal structure of space-time be inferred from operational principles? Causal models and tensor networks offer complementary perspectives: the former encodes cause-effect relations via directed graphs,…

Quantum Physics · Physics 2026-03-16 Carla Ferradini , Giulia Mazzola , V. Vilasini
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