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This paper introduces a novel type theory and logic for probabilistic reasoning. Its logic is quantitative, with fuzzy predicates. It includes normalisation and conditioning of states. This conditioning uses a key aspect that distinguishes…

Logic in Computer Science · Computer Science 2025-04-02 Robin Adams , Bart Jacobs

Mathematical models of the real world are simplified representations of complex systems. A caveat to using mathematical models is that predicted causal effects and conditional independences may not be robust under model extensions, limiting…

Methodology · Statistics 2022-08-30 Tineke Blom , Joris M. Mooij

The use of causal language in observational studies has raised concerns about overstatement in scientific communication. While some argue that such language should be reserved for randomized controlled trials, others contend that rigorous…

Physics and Society · Physics 2025-08-18 Jun Wang , Bei Yu

Causal discovery amounts to unearthing causal relationships amongst features in data. It is a crucial companion to causal inference, necessary to build scientific knowledge without resorting to expensive or impossible randomised control…

Artificial Intelligence · Computer Science 2024-08-06 Fabrizio Russo , Anna Rapberger , Francesca Toni

The study of causal relationships between emotions and causes in texts has recently received much attention. Most works focus on extracting causally related clauses from documents. However, none of these works has considered that the causal…

Computation and Language · Computer Science 2023-11-29 Xinhong Chen , Zongxi Li , Yaowei Wang , Haoran Xie , Jianping Wang , Qing Li

Biological networks are a very convenient modelling and visualisation tool to discover knowledge from modern high-throughput genomics and postgenomics data sets. Indeed, biological entities are not isolated, but are components of complex…

Quantitative Methods · Quantitative Biology 2018-05-07 Alex White , Matthieu Vignes

We describe the interface between measure theoretic probability and causal inference by constructing causal models on probability spaces within the potential outcomes framework. We find that measure theory provides a precise and instructive…

Statistics Theory · Mathematics 2019-07-04 Irineo Cabreros , John D. Storey

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

Probabilities of causation are fundamental to individual-level explanation and decision making, yet they are inherently counterfactual and not point-identifiable from data in general. Existing bounds either disregard available covariates,…

Artificial Intelligence · Computer Science 2026-02-17 Yuxuan Xie , Ang Li

Although researchers have found evidence contextual bias in forensic science, the discussion of contextual bias is currently qualitative. We formalize years of empirical research and extend this research by showing quantitatively how biases…

Applications · Statistics 2021-11-09 Maria Cuellar , Jacqueline Mauro , Amanda Luby

Provenance, or information about the sources, derivation, custody or history of data, has been studied recently in a number of contexts, including databases, scientific workflows and the Semantic Web. Many provenance mechanisms have been…

Logic in Computer Science · Computer Science 2010-06-09 James Cheney

The research on conditional planning rejects the assumptions that there is no uncertainty or incompleteness of knowledge with respect to the state and changes of the system the plans operate on. Without these assumptions the sequences of…

Artificial Intelligence · Computer Science 2011-05-30 J. Rintanen

Explainable AI (XAI) methods identify which features are relevant to a model's predictions but often fail to clarify why certain decisions are made. In this work, we present a novel method that integrates causality with argument-based…

Artificial Intelligence · Computer Science 2026-05-22 Henry Salgado , Meagan R. Kendall , Martine Ceberio

Learning about the causal structure of the world is a fundamental problem for human cognition. Causal models and especially causal learning have proved to be difficult for large pretrained models using standard techniques of deep learning.…

Artificial Intelligence · Computer Science 2026-04-16 Eunice Yiu , Kelsey Allen , Shiry Ginosar , Alison Gopnik

Recent authors have proposed analyzing conditional reasoning through a notion of intervention on a simulation program, and have found a sound and complete axiomatization of the logic of conditionals in this setting. Here we extend this…

Artificial Intelligence · Computer Science 2018-07-31 Duligur Ibeling

We show that it is possible to understand and identify a decision maker's subjective causal judgements by observing her preferences over interventions. Following Pearl [2000], we represent causality using causal models (also called…

Theoretical Economics · Economics 2024-01-23 Joseph Y. Halpern , Evan Piermont

Representation learning constructs low-dimensional representations to summarize essential features of high-dimensional data. This learning problem is often approached by describing various desiderata associated with learned representations;…

Machine Learning · Statistics 2022-02-14 Yixin Wang , Michael I. Jordan

Abductive reasoning is a popular non-monotonic paradigm that aims to explain observed symptoms and manifestations. It has many applications, such as diagnosis and planning in artificial intelligence and database updates. In propositional…

Artificial Intelligence · Computer Science 2026-01-14 Johannes Schmidt , Mohamed Maizia , Victor Lagerkvist , Johannes K. Fichte

The fundamental challenge of drawing causal inference is that counterfactual outcomes are not fully observed for any unit. Furthermore, in observational studies, treatment assignment is likely to be confounded. Many statistical methods have…

Methodology · Statistics 2022-08-01 Harsh Parikh , Carlos Varjao , Louise Xu , Eric Tchetgen Tchetgen

Bayesian inference provides a natural way of incorporating prior beliefs and assigning a probability measure to the space of hypotheses. Current solutions rely on iterative routines like Markov Chain Monte Carlo (MCMC) sampling and…

Machine Learning · Computer Science 2025-02-11 Sarthak Mittal , Niels Leif Bracher , Guillaume Lajoie , Priyank Jaini , Marcus Brubaker