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We provide a unified operational framework for the study of causality, non-locality and contextuality, in a fully device-independent and theory-independent setting. We define causaltopes, our chosen portmanteau of "causal polytopes", for…

Quantum Physics · Physics 2023-07-31 Stefano Gogioso , Nicola Pinzani

Causal inference is a fundamental research topic for discovering the cause-effect relationships in many disciplines. However, not all algorithms are equally well-suited for a given dataset. For instance, some approaches may only be able to…

Machine Learning · Computer Science 2024-03-11 Zhipeng Ma , Marco Kemmerling , Daniel Buschmann , Chrismarie Enslin , Daniel Lütticke , Robert H. Schmitt

Score-based causal discovery methods can effectively identify causal relationships by evaluating candidate graphs and selecting the one with the highest score. One popular class of scores is kernel-based generalized score functions, which…

Machine Learning · Computer Science 2025-06-10 Yixin Ren , Haocheng Zhang , Yewei Xia , Hao Zhang , Jihong Guan , Shuigeng Zhou

There are numerous indications that a discrete substratum underlies continuum spacetime. Any fundamentally discrete approach to quantum gravity must provide some prescription for how continuum properties emerge from the underlying…

General Relativity and Quantum Cosmology · Physics 2009-08-25 David Rideout , Petros Wallden

This paper provides a thorough introduction to the causal set hypothesis aimed at students, and other interested persons, with some knowledge of general relativity and nonrelativistic quantum mechanics. I elucidate the arguments for why the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 David D. Reid

We discuss the causal set approach to discrete quantum gravity. We begin by describing a classical sequential growth process in which the universe grows one element at a time in discrete steps. At each step the process has the form of a…

General Relativity and Quantum Cosmology · Physics 2011-08-12 Stan Gudder

Non-perturbative theories of quantum gravity inevitably include configurations that fail to resemble physically reasonable spacetimes at large scales. Often, these configurations are entropically dominant and pose an obstacle to obtaining…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Graham Brightwell , Joe Henson , Sumati Surya

In this research we present a quantum circuit for estimating algorithmic complexity using the coding theorem method. This accelerates inferring algorithmic structure in data for discovering causal generative models. The computation model is…

Quantum Physics · Physics 2020-09-21 Aritra Sarkar , Koen Bertels

A criticism sometimes made of the causal set quantum gravity program is that there is no practical scheme for identifying manifoldlike causal sets and finding embeddings of them into manifolds. A computational method for constructing an…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Joe Henson

Causal structure learning from observational data remains a non-trivial task due to various factors such as finite sampling, unobserved confounding factors, and measurement errors. Constraint-based and score-based methods tend to suffer…

Machine Learning · Computer Science 2022-11-09 Rezaur Rashid , Jawad Chowdhury , Gabriel Terejanu

Starting from certain causality conditions and a discrete form of general covariance, we derive a very general family of classically stochastic, sequential growth dynamics for causal sets. The resulting theories provide a relatively…

General Relativity and Quantum Cosmology · Physics 2011-05-05 D. P. Rideout , R. D. Sorkin

The causal set theory (CST) approach to quantum gravity postulates that at the most fundamental level, spacetime is discrete, with the spacetime continuum replaced by locally finite posets or "causal sets". The partial order on a causal set…

General Relativity and Quantum Cosmology · Physics 2019-10-09 Sumati Surya

Causal discovery from observational data is an important tool in many branches of science. Under certain assumptions it allows scientists to explain phenomena, predict, and make decisions. In the large sample limit, sound and complete…

Machine Learning · Statistics 2021-07-13 Shami Nisimov , Yaniv Gurwicz , Raanan Y. Rohekar , Gal Novik

Central to the development of any new theory is the investigation of the observable consequences of the theory. In the search for quantum gravity, research in phenomenology has been dominated by models violating Lorentz invariance (LI) --…

General Relativity and Quantum Cosmology · Physics 2010-09-09 Lydia Philpott

Modern computer vision applications rely on learning-based perception modules parameterized with neural networks for tasks like object detection. These modules frequently have low expected error overall but high error on atypical groups of…

Computer Vision and Pattern Recognition · Computer Science 2022-04-22 Cinjon Resnick , Or Litany , Amlan Kar , Karsten Kreis , James Lucas , Kyunghyun Cho , Sanja Fidler

A recently proposed algebraic representation of the causal set model of the small-scale structure of space-time of Sorkin et al. is briefly reviewed and expanded. The algebraic model suggested, called quantum causal set, is physically…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Ioannis Raptis

An important question that discrete approaches to quantum gravity must address is how continuum features of spacetime can be recovered from the discrete substructure. Here, we examine this question within the causal set approach to quantum…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Seth Major , David Rideout , Sumati Surya

Recently there has been significant interest in using causal modelling techniques to understand the structure of physical theories. However, the notion of `causation' is limiting - insisting that a physical theory must involve causal…

History and Philosophy of Physics · Physics 2023-07-24 Mordecai Waegell , Kelvin J. McQueen , Emily C. Adlam

Research on indefinite causal structures is a rapidly evolving field that has a potential not only to make a radical revision of the classical understanding of space-time but also to achieve enhanced functionalities of quantum information…

Quantum Physics · Physics 2021-10-08 Martin J. Renner , Časlav Brukner

Most neural models of causality assume static causal graphs, failing to capture the dynamic and sparse nature of physical interactions where causal relationships emerge and dissolve over time. We introduce the Causal Process Framework and…

Machine Learning · Computer Science 2026-04-07 Turan Orujlu , Christian Gumbsch , Martin V. Butz , Charley M Wu