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General definitions for causal structures on manifolds of dimension d+1>2 are presented for the topological category and for any differentiable one. Locally, these are given as cone structures via local (pointwise) homeomorphic or…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Martin Rainer

We propose a 2+1d simulation of Energetic Causal Sets (ECS). These are a class of Causal Sets where the agency of time and its irreversibility are taken as fundamental. Events are endowed with energy-momentum conservation laws being applied…

General Relativity and Quantum Cosmology · Physics 2025-02-12 Vasco Gil Gomes

Event centric approaches to modeling physics have gained traction in recent decades. In this work, we present a first principles approach to this idea, which assumes nothing but the existence of causal networks of events and their…

General Physics · Physics 2023-06-28 Sam Powers , Dejan Stojkovic

Ensuring safe operation of safety-critical complex systems interacting with their environment poses significant challenges, particularly when the system's world model relies on machine learning algorithms to process the perception input. A…

Robotics · Computer Science 2025-05-27 Roman Gansch , Lina Putze , Tjark Koopmann , Jan Reich , Christian Neurohr

We present a novel task that measures how people generalize objects' causal powers based on observing a single (Experiment 1) or a few (Experiment 2) causal interactions between object pairs. We propose a computational modeling framework…

Artificial Intelligence · Computer Science 2021-11-25 Bonan Zhao , Christopher G. Lucas , Neil R. Bramley

Causal inference permits us to discover covert relationships of various variables in time series. However, in most existing works, the variables mentioned above are the dimensions. The causality between dimensions could be cursory, which…

Machine Learning · Computer Science 2023-09-14 Yuanhao Liu , Dehui Du , Zihan Jiang , Anyan Huang , Yiyang Li

Causality has the potential to truly transform the way we solve a large number of real-world problems. Yet, so far, its potential largely remains to be unlocked as causality often requires crucial assumptions which cannot be tested in…

Machine Learning · Computer Science 2024-02-15 Jeroen Berrevoets , Krzysztof Kacprzyk , Zhaozhi Qian , Mihaela van der Schaar

The proposed theory of causally structured discrete fields studies integer values on directed edges of a self-similar graph with a propagation rule, which we define as a set of valid combinations of integer values and edge directions around…

General Relativity and Quantum Cosmology · Physics 2020-01-30 K. V. Bayandin

This thesis is situated within the context of quantum gravity, broadly understood as any effort to explore the interplay between gravitation and the quantum realm, without necessarily requiring the quantization of the gravitational field…

General Relativity and Quantum Cosmology · Physics 2025-10-22 Gerardo García-Moreno

Contextuality - the obstruction to describing quantum mechanics in a classical statistical way - has been proposed as a resource that powers quantum computing. The measurement-based model provides a concrete manifestation of contextuality…

Quantum Physics · Physics 2018-10-12 Markus Frembs , Sam Roberts , Stephen D. Bartlett

This textbook introduces the basic concepts of the theory of causal fermion systems, a recent approach to the description of fundamental physics. The theory yields quantum mechanics, general relativity and quantum field theory as limiting…

Mathematical Physics · Physics 2025-10-24 Felix Finster , Sebastian Kindermann , Jan-Hendrik Treude

In social sciences and economics, causal inference traditionally focuses on assessing the impact of predefined treatments (or interventions) on predefined outcomes, such as the effect of education programs on earnings. Causal discovery, in…

Econometrics · Economics 2024-07-12 Martin Huber

By representing an event as the joint state of a detector-timer couple that interact with a system, we recover the familiar tensor product structure, used to describe spatially separated systems, in the context of timelike events.…

Quantum Physics · Physics 2022-03-03 Aditya Iyer , Eduardo O. Dias , Vlatko Vedral

True intelligence hinges on the ability to uncover and leverage hidden causal relations. Despite significant progress in AI and computer vision (CV), there remains a lack of benchmarks for assessing models' abilities to infer latent…

Computer Vision and Pattern Recognition · Computer Science 2025-10-31 Disheng Liu , Yiran Qiao , Wuche Liu , Yiren Lu , Yunlai Zhou , Tuo Liang , Yu Yin , Jing Ma

Learning meaningful causal representations from observations has emerged as a crucial task for facilitating machine learning applications and driving scientific discoveries in fields such as climate science, biology, and physics. This…

Machine Learning · Computer Science 2026-02-06 Jiaxu Ren , Yixin Wang , Biwei Huang

Causality is a fundamental part of the scientific endeavour to understand the world. Unfortunately, causality is still taboo in much of psychology and social science. Motivated by a growing number of recommendations for the importance of…

Methodology · Statistics 2022-06-27 Matthew J. Vowels

A comprehensive understanding of causality is critical for navigating and operating within today's complex real-world systems. The absence of realistic causal models with known data generating processes complicates fair benchmarking. In…

Machine Learning · Computer Science 2025-02-19 Nicholas Tagliapietra , Juergen Luettin , Lavdim Halilaj , Moritz Willig , Tim Pychynski , Kristian Kersting

When can a model of a physical system be regarded as computable? We provide the definition of a computable physical model to answer this question. The connection between our definition and Kreisel's notion of a mechanistic theory is…

Logic · Mathematics 2013-08-09 Matthew P. Szudzik

The aim in many sciences is to understand the mechanisms that underlie the observed distribution of variables, starting from a set of initial hypotheses. Causal discovery allows us to infer mechanisms as sets of cause and effect…

Machine Learning · Computer Science 2025-03-05 Ashka Shah , Adela DePavia , Nathaniel Hudson , Ian Foster , Rick Stevens

Causal models capture cause-effect relations both qualitatively - via the graphical causal structure - and quantitatively - via the model parameters. They offer a powerful framework for analyzing and constructing processes. Here, we…

Quantum Physics · Physics 2025-12-02 Ämin Baumeler , Stefan Wolf