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We present a novel technique to discover and exploit weak causal signals directly from images via neural networks for classification purposes. This way, we model how the presence of a feature in one part of the image affects the appearance…

Computer Vision and Pattern Recognition · Computer Science 2024-01-03 Gianluca Carloni , Sara Colantonio

A new gauge-invariant approach for describing cosmological perturbations is developed. It is based on a physically motivated splitting of the stress-energy tensor of the perturbation into two parts - the bare perturbation and the…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Sergei M. Kopeikin , Juan Ramirez , Bahram Mashhoon , Mikhail V. Sazhin

Structural causal models are the basic modelling unit in Pearl's causal theory; in principle they allow us to solve counterfactuals, which are at the top rung of the ladder of causation. But they often contain latent variables that limit…

Artificial Intelligence · Computer Science 2021-11-23 Marco Zaffalon , Alessandro Antonucci , Rafael Cabañas

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

Confounding seriously impairs our ability to learn about causal relations from observational data. Confounding can be defined as a statistical association between two variables due to inputs from a common source (the confounder). For…

Methodology · Statistics 2018-05-17 Anders Ledberg

Motivated by the connection between gauge field topology and the axial anomaly in fermion currents, I use the fourth power of the naive Dirac operator to define a local lattice measure of topological charge. For smooth gauge fields this…

High Energy Physics - Lattice · Physics 2011-03-07 Michael Creutz

We study the identification of direct and indirect causes on time series and provide conditions in the presence of latent variables, which we prove to be necessary and sufficient under some graph constraints. Our theoretical results and…

Methodology · Statistics 2020-10-23 Atalanti A. Mastakouri , Bernhard Schölkopf , Dominik Janzing

Quantum effects are expected to modify the cosmological dynamics of the early universe while maintaining some (potentially discrete) notion of space-time structure. In one approach, loop quantum cosmology, current models are shown here to…

General Relativity and Quantum Cosmology · Physics 2026-04-29 Martin Bojowald , Manuel Diaz , Erick I. Duque

The presence of cosmological fluctuations influences the background cosmology in which the perturbations evolve. This back-reaction arises as a second order effect in the cosmological perturbation expansion. The effect is cumulative in the…

High Energy Physics - Theory · Physics 2007-05-23 Robert H. Brandenberger

In experimental and observational data settings, researchers often have limited knowledge of the reasons for missing outcomes. To address this uncertainty, we propose bounds on causal effects for missing outcomes, accommodating the scenario…

Methodology · Statistics 2026-03-19 Max Rubinstein , Denis Agniel , Larry Han , Marcela Horvitz-Lennon , Sharon-Lise Normand

Instrumental variables allow for quantification of cause and effect relationships even in the absence of interventions. To achieve this, a number of causal assumptions must be met, the most important of which is the independence assumption,…

Machine Learning · Statistics 2021-11-05 Nikolai Miklin , Mariami Gachechiladze , George Moreno , Rafael Chaves

Positivity bounds - the consequences of requiring a unitary, causal, local UV completion - place strong restrictions on theories of dark energy and/or modified gravity. We derive and investigate such bounds for Horndeski scalar-tensor…

Cosmology and Nongalactic Astrophysics · Physics 2020-07-28 Scott Melville , Johannes Noller

A generic spacetime topology contains timelike boundaries. Making use of two such boundaries, we formulate a microscopic holographic dual that captures cosmological spacetime beyond the cosmic horizon patch, including the future wedge. We…

High Energy Physics - Theory · Physics 2026-04-14 Batoul Banihashemi , Gauri Batra , Albert Y. T. Law , Eva Silverstein , Gonzalo Torroba

Classical causal models, such as Granger causality and structural equation modeling, are largely restricted to acyclic interactions and struggle to represent cyclic and higher-order dynamics in complex networks. We introduce a causal…

Neurons and Cognition · Quantitative Biology 2026-04-21 Moo K. Chung , D. Vijay Anand , Anass B El-Yaagoubi , Jae-Hun Jung , Anqi Qiu , Hernando Ombao

We present a formalism for spatial averaging in cosmology applicable to general spacetimes and coordinates, and allowing the easy incorporation of a wide variety of matter sources. We apply this formalism to a…

General Relativity and Quantum Cosmology · Physics 2009-12-04 Iain A. Brown , Juliane Behrend , Karim A. Malik

We examine the possibility of "soft cosmology", namely small deviations from the usual framework due to the effective appearance of soft-matter properties in the Universe sectors. One effect of such a case would be the dark energy to…

Cosmology and Nongalactic Astrophysics · Physics 2021-09-22 Emmanuel N. Saridakis

Conducting experiments to estimate total effects can be challenging due to cost, ethical concerns, or practical limitations. As an alternative, researchers often rely on causal graphs to determine whether these effects can be identified…

Methodology · Statistics 2025-05-20 Charles K. Assaad

The response of complex networks to perturbations is of utmost importance in areas as diverse as ecosystem management, emergency response, and cell reprogramming. A fundamental property of networks is that the perturbation of one node can…

Molecular Networks · Quantitative Biology 2011-05-20 Sean P. Cornelius , William L. Kath , Adilson E. Motter

Feature selection is an important but challenging task in causal inference for obtaining unbiased estimates of causal quantities. Properly selected features in causal inference not only significantly reduce the time required to implement a…

Methodology · Statistics 2025-02-04 Tianyu Yang , Md. Noor-E-Alam

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