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While probabilistic models describe the dependence structure between observed variables, causal models go one step further: they predict, for example, how cognitive functions are affected by external interventions that perturb neuronal…

Neurons and Cognition · Quantitative Biology 2021-04-12 Sebastian Weichwald , Jonas Peters

Most research questions in agricultural and applied economics are of a causal nature, i.e., how one or more variables (e.g., policies, prices, the weather) affect one or more other variables (e.g., income, crop yields, pollution). Only some…

Econometrics · Economics 2025-08-05 Arne Henningsen , Guy Low , David Wuepper , Tobias Dalhaus , Hugo Storm , Dagim Belay , Stefan Hirsch

We present a theory for wave scintillation in the situation with a time-dependent partially coherent source and a time-dependent randomly heterogeneous medium. Our objective is to understand how the scintillation index of the measured…

Optics · Physics 2022-07-20 Josselin Garnier , Knut Solna

These notes present some elements of causality theory. While they are not as complete as other treatments of the topic, there is some originality in that the whole approach is based on a definition of causal curves which allows to simplify…

General Relativity and Quantum Cosmology · Physics 2011-11-01 Piotr T. Chruściel

The importance of spatial non-locality in the description of negative refraction in electromagnetic materials has been put forward recently. We develop a theory of negative refraction in homogeneous and isotropic media, based on first…

Optics · Physics 2017-04-05 Davide Forcella , Claire Prada , Rémi Carminati

Mediation analysis breaks down the causal effect of a treatment on an outcome into an indirect effect, acting through a third group of variables called mediators, and a direct effect, operating through other mechanisms. Mediation analysis…

Applications · Statistics 2025-05-13 Judith Abécassis , Houssam Zenati , Sami Boumaïza , Julie Josse , Bertrand Thirion

Despite the essential need for comprehensive considerations in responsible AI, factors like robustness, fairness, and causality are often studied in isolation. Adversarial perturbation, used to identify vulnerabilities in models, and…

Machine Learning · Computer Science 2024-02-07 Ahmad-Reza Ehyaei , Golnoosh Farnadi , Samira Samadi

Causality plays a central role in understanding interactions between variables in complex systems. These systems often exhibit state-dependent causal relationships, where both the strength and direction of causality vary with the value of…

Data Analysis, Statistics and Probability · Physics 2025-08-05 Álvaro Martínez-Sánchez , Adrián Lozano-Durán

The potential system is a nonparametric time series model for assessing the causal impact of moving an assignment at time $t$ on an outcome at future time $t+h$, accounting for the presence of features. The potential system provides…

Econometrics · Economics 2026-03-24 Jacob Carlson , Neil Shephard

Interpretability research takes counterfactual theories of causality for granted. Most causal methods rely on counterfactual interventions to inputs or the activations of particular model components, followed by observations of the change…

Machine Learning · Computer Science 2024-07-08 Aaron Mueller

Classical physics encompasses the study of physical phenomena which ranges from local (a point) to nonlocal (a region) in space and/or time. We discuss the concept of spatial and temporal nonlocality. However, one of the likely implications…

Classical Physics · Physics 2013-12-11 Asrarul Haque

While LLMs exhibit impressive fluency and factual recall, they struggle with robust causal reasoning, often relying on spurious correlations and brittle patterns. Similarly, traditional Reinforcement Learning agents also lack causal…

Machine Learning · Computer Science 2025-09-26 Abi Aryan , Zac Liu

We reformulate the information causality in a more general framework by adopting the results of signal propagation and computation in a noisy circuit. In our framework, the information causality leads to a broad class of Tsirelson…

Quantum Physics · Physics 2013-05-29 Li-Yi Hsu , I-Ching Yu , Feng-Li Lin

In contrast to evaluating treatment effects, causal attribution analysis focuses on identifying the key factors responsible for an observed outcome. For two binary exposure variables and a binary outcome variable, researchers need to assess…

Applications · Statistics 2026-01-21 Shanshan Luo , Wei Li , Xueli Wang , Shaojie Wei , Zhi Geng

Causality understanding between events is a critical natural language processing task that is helpful in many areas, including health care, business risk management and finance. On close examination, one can find a huge amount of textual…

Computation and Language · Computer Science 2021-02-01 Vivek Khetan , Roshni Ramnani , Mayuresh Anand , Shubhashis Sengupta , Andrew E. Fano

Continuous time Bayesian networks are investigated with a special focus on their ability to express causality. A framework is presented for doing inference in these networks. The central contributions are a representation of the intensity…

Machine Learning · Statistics 2016-01-26 Jonas Hallgren , Timo Koski

Deep Learning models have shown success in a large variety of tasks by extracting correlation patterns from high-dimensional data but still struggle when generalizing out of their initial distribution. As causal engines aim to learn…

Machine Learning · Computer Science 2024-01-02 Gaël Gendron , Michael Witbrock , Gillian Dobbie

We consider two type of systems, a linear singular discrete time system and a linear singular fractional discrete time system whose coefficients are square constant matrices. By assuming that the input vector changes only at equally space…

Dynamical Systems · Mathematics 2015-12-16 Nicholas Apostolopoulos , Fernando Ortega , Grigoris Kalogeropoulos

Causality is typically treated an all-or-nothing concept; either A is a cause of B or it is not. We extend the definition of causality introduced by Halpern and Pearl [2001] to take into account the degree of responsibility of A for B. For…

Artificial Intelligence · Computer Science 2007-05-23 Hana Chockler , Joseph Y. Halpern

Causality is pivotal to our understanding of the world, presenting itself in different forms: information-theoretic and relativistic, the former linked to the flow of information, the latter to the structure of space-time. Leveraging a…

General Relativity and Quantum Cosmology · Physics 2026-04-13 Maarten Grothus , V. Vilasini
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