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In this paper, we predict the covariance matrices of both the power spectrum and the bispectrum, including full non-Gaussian contributions, redshift space distortions, linear bias effects and shot-noise corrections, using perturbation…

Cosmology and Nongalactic Astrophysics · Physics 2020-07-15 Naonori S. Sugiyama , Shun Saito , Florian Beutler , Hee-Jong Seo

The general relativistic treatment of gravitation can be extended by preserving the geometrical nature of the theory but modifying the form of the coupling between curvature and stress tensors. The gravitation constant is thus replaced by…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Marc-Thierry Jaekel , Serge Reynaud

Control variates have seen recent interest as a powerful technique to reduce the variance of summary statistics measured from costly cosmological $N$-body simulations. Of particular interest are the class of control variates which are…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-27 Nickolas Kokron , Shi-Fan Chen

Change-plane regression identifies subpopulations through an interpretable linear threshold rule, but likelihood-based inference for the hard-threshold boundary is nonregular: objectives are non-smooth, the boundary is weakly identified…

Methodology · Statistics 2026-04-28 Yuki Ohnishi , Fan Li

The Bayesian transformed Gaussian process (BTG) model, proposed by Kedem and Oliviera, is a fully Bayesian counterpart to the warped Gaussian process (WGP) and marginalizes out a joint prior over input warping and kernel hyperparameters.…

Machine Learning · Computer Science 2022-10-21 Xinran Zhu , Leo Huang , Cameron Ibrahim , Eric Hans Lee , David Bindel

Gauge theories have been a cornerstone of the description of the world at the level of the fundamental particles. The Lagrangian or the action describing the corresponding interactions is invariant under certain gauge transformations. This…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Bashir , A. Raya

The $f(R)$ modified gravity theory can explain the accelerating expansion of the late Universe without introducing dark energy. In this study, we predict the constraint strength on the $f(R)$ theory using the mock data generated from the…

Cosmology and Nongalactic Astrophysics · Physics 2024-10-15 Jun-Hui Yan , Yan Gong , Minglin Wang , Haitao Miao , Xuelei Chen

With the continuous upgrade of detectors, more and more gravitational wave (GW) events were captured by the LIGO Scientific Collaboration and Virgo Collaboration (LVC), which offers a new avenue to test General Relativity and explore the…

General Relativity and Quantum Cosmology · Physics 2021-11-17 Rui Niu , Xing Zhang , Bo Wang , Wen Zhao

The next generation of cosmological surveys will operate over unprecedented scales, and will therefore provide exciting new opportunities for testing general relativity. The standard method for modelling the structures that these surveys…

General Relativity and Quantum Cosmology · Physics 2018-03-28 Sophia R. Goldberg , Christopher Gallagher , Timothy Clifton

Perturbation theory (PT) is often used to model statistical observables capturing the translation and rotation-invariant information in cosmological density fields. PT produces higher-order corrections by integration over linear statistics…

Cosmology and Nongalactic Astrophysics · Physics 2018-12-07 Zachary Slepian

We present forecasts for constraints on the Hu \& Sawicki $f(R)$ modified gravity model using realistic mock data representative of future cluster and weak lensing surveys. We create mock thermal Sunyaev-Zel'dovich effect selected cluster…

Cosmology and Nongalactic Astrophysics · Physics 2024-06-11 Sophie M. L. Vogt , Sebastian Bocquet , Christopher T. Davies , Joseph J. Mohr , Fabian Schmidt

We consider perturbations of a static and spherically symmetric background endowed with a metric tensor and a scalar field in the framework of the effective field theory of modified gravity. We employ the previously developed 2+1+1…

High Energy Physics - Theory · Physics 2014-12-09 Ryotaro Kase , László Árpád Gergely , Shinji Tsujikawa

We investigate nonlocal Lagrangian bias contributions involving gradients of the linear density field, for which we have predictions from the excursion set peak formalism. We begin by writing down a bias expansion which includes all the…

Cosmology and Nongalactic Astrophysics · Physics 2014-06-30 Matteo Biagetti , Kwan Chuen Chan , Vincent Desjacques , Aseem Paranjape

Over the next decade, cosmological measurements of the large-scale structure of the Universe will be sensitive to the combined effects of dynamical dark energy and massive neutrinos. The matter power spectrum is a key repository of this…

Cosmology and Nongalactic Astrophysics · Physics 2014-05-21 Amol Upadhye , Rahul Biswas , Adrian Pope , Katrin Heitmann , Salman Habib , Hal Finkel , Nicholas Frontiere

We study the primary constraint structure of Newer General Relativity, a gravity theory based on a torsionless teleparallel geometry. The gravitational action is built from a scalar formed by quadratic combinations of the nonmetricity…

General Relativity and Quantum Cosmology · Physics 2026-05-29 Carmen Ferrara , Alexey Golovnev , María José Guzmán

Spatio-temporal prediction is crucial in numerous real-world applications, including traffic forecasting and crime prediction, which aim to improve public transportation and safety management. Many state-of-the-art models demonstrate the…

Machine Learning · Computer Science 2023-10-30 Jiabin Tang , Lianghao Xia , Jie Hu , Chao Huang

This text describes a method to simultaneously reconstruct flow states and determine particle properties from Lagrangian particle tracking (LPT) data. LPT is a popular measurement strategy for fluids in which particles in a flow are…

Fluid Dynamics · Physics 2023-11-16 Ke Zhou , Samuel J. Grauer

We present the application of the $n$-th order Eulerian Perturbation Theory ($n$EPT) for modeling the matter bispectrum in real space as an advancement over the Standard Perturbation Theory (SPT). The $n$EPT method, detailed in Wang et al.…

Cosmology and Nongalactic Astrophysics · Physics 2024-11-28 Zhenyuan Wang , Donghui Jeong , Atsushi Taruya , Takahiro Nishimichi , Ken Osato

We perform the Hamiltonian constraint analysis for a wide class of gravity theories that are invariant under spatial diffeomorphism. With very general setup, we show that different from the general relativity, the primary and secondary…

General Relativity and Quantum Cosmology · Physics 2014-11-26 Xian Gao

We constrain $f(R)$ and chameleon-type modified gravity in the framework of the Berstchinger-Zukin parametrization using the recent released Planck data, including both CMB temperature power spectrum and lensing potential power spectrum.…

Cosmology and Nongalactic Astrophysics · Physics 2013-12-16 Bin Hu , Michele Liguori , Nicola Bartolo , Sabino Matarrese