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Estimating causal effects is particularly challenging when outcomes arise in complex, non-Euclidean spaces, where conventional methods often fail to capture meaningful structural variation. We develop a framework for topological causal…

统计方法学 · 统计学 2026-03-04 Kwangho Kim , Hajin Lee

We investigate matter density perturbations in models of structure formation with or without causal/acausal source. Under the fluid approximation in the linear theory, we first derive full perturbation equations in flat space with a…

天体物理学 · 物理学 2007-05-23 Jiun-Huei Proty Wu

A phenomenological formalism is presented in which the apparent acceleration of the universe is generated by large-scale structure formation, thus eliminating the magnitude and coincidence fine-tuning problems of the Cosmological Constant…

宇宙学与河外天体物理 · 物理学 2012-06-14 Brett Bochner

A phenomenological formalism is presented in which the apparent acceleration of the universe is generated by large-scale structure formation, thus eliminating the coincidence and magnitude fine-tuning problems of the Cosmological Constant…

宇宙学与河外天体物理 · 物理学 2012-06-14 Brett Bochner

Detecting and understanding reasons for defects and inadvertent behavior in software is challenging due to their increasing complexity. In configurable software systems, the combinatorics that arises from the multitude of features a user…

软件工程 · 计算机科学 2022-03-01 Clemens Dubslaff , Kallistos Weis , Christel Baier , Sven Apel

In relativistic cosmology, the formation of nonlinear inhomogeneities can induce non-negligible backreaction on late-time expansion. Among the important consequences for precision cosmology is the potential impact on the linear growth of…

广义相对论与量子宇宙学 · 物理学 2026-04-27 Marco Galoppo , Pierre Mourier

This paper addresses the problem of estimating causal effects when adjustment variables in the back-door or front-door criterion are partially observed. For such scenarios, we derive bounds on the causal effects by solving two non-linear…

统计方法学 · 统计学 2021-06-24 Ang Li , Judea Pearl

A key condition for obtaining reliable estimates of the causal effect of a treatment is overlap (a.k.a. positivity): the distributions of the features used to perform causal adjustment cannot be too different in the treated and control…

统计方法学 · 统计学 2021-04-14 Alexander D'Amour , Alexander Franks

In the context of second order perturbation theory, cosmological backreaction is seen to rescale both time and the scale factor. The issue of the homogeneous limit of long-wavelength perturbations is addressed and backreaction is quantified…

天体物理学 · 物理学 2009-11-11 M. Parry

Cosmological perturbation theory is an example of a gauge theory, where gauge transformations correspond to changes in the space-time coordinate system. To determine physical quantities, one is free to introduce gauge conditions (\ie to…

广义相对论与量子宇宙学 · 物理学 2025-01-23 Danilo Artigas , Julien Grain , Vincent Vennin

Discovering the causal effect of a decision is critical to nearly all forms of decision-making. In particular, it is a key quantity in drug development, in crafting government policy, and when implementing a real-world machine learning…

机器学习 · 计算机科学 2020-03-04 Limor Gultchin , Matt J. Kusner , Varun Kanade , Ricardo Silva

The success of present and future cosmological studies is tied to the ability to detect discrepancies in complex data sets within the framework of a cosmological model. Tensions caused by the presence of unknown systematic effects need to…

宇宙学与河外天体物理 · 物理学 2019-02-13 Marco Raveri , Wayne Hu

When a second-order phase transition is crossed at fine rate, the evolution of the system stops being adiabatic as a result of the critical slowing down in the neighborhood of the critical point. In systems with a topologically nontrivial…

统计力学 · 物理学 2013-09-13 A. del Campo , T. W. B. Kibble , W. H. Zurek

We explore the relation between positivity of the energy constraints in conformal field theories and causality in their dual gravity description. Our discussion involves CFTs with different central charges whose description, in the gravity…

高能物理 - 理论 · 物理学 2014-11-20 Xian O. Camanho , Jose D. Edelstein

Unmeasured confounding may undermine the validity of causal inference with observational studies. Sensitivity analysis provides an attractive way to partially circumvent this issue by assessing the potential influence of unmeasured…

统计理论 · 数学 2015-07-15 Peng Ding , Tyler VanderWeele

We describe energy--momentum conservation in relativistic perturbation theory in general FRW backgrounds with causal source terms, such as the presence of cosmic defect networks. We provide a prescription for a linear energy--momentum…

天体物理学 · 物理学 2009-11-07 G. Amery , E. P. S. Shellard

A decision-maker must consider cofounding bias when attempting to apply machine learning prediction, and, while feature selection is widely recognized as important process in data-analysis, it could cause cofounding bias. A causal Bayesian…

机器学习 · 统计学 2020-03-02 Akihiro Yabe

Requiring the existence of a unitary, causal and local UV-completion places a set of positivity bounds on the corresponding effective field theories (EFTs). We discuss the obstructions and possibility in applying the positivity bound to…

高能物理 - 理论 · 物理学 2020-06-30 Gen Ye , Yun-Song Piao

We revisit the causal backreaction paradigm, in which the need for Dark Energy is eliminated via the generation of an apparent cosmic acceleration from the causal flow of inhomogeneity information coming in towards each observer from…

宇宙学与河外天体物理 · 物理学 2013-10-23 Brett Bochner

The precise tuning required to observe critical phenomena in gravitational collapse poses a challenge for most numerical codes. First, threshold estimation searches may be obstructed by the appearance of coordinate singularities, indicating…

广义相对论与量子宇宙学 · 物理学 2024-09-24 Daniela Cors , Sarah Renkhoff , Hannes R. Rüter , David Hilditch , Bernd Brügmann
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