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Related papers: A Model for the Squeezed Bispectrum in the Non-Lin…

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We study the problem of passive imaging through convolutive channels. A scene is illuminated with an unknown, unstructured source, and the measured response is the convolution of this source with multiple channel responses, each of which is…

Information Theory · Computer Science 2017-08-25 Kiryung Lee , Felix Krahmer , Justin Romberg

This paper proposes an approach, Spectral Dynamics Embedding Control (SDEC), to optimal control for nonlinear stochastic systems. This method reveals an infinite-dimensional feature representation induced by the system's nonlinear…

Machine Learning · Computer Science 2025-08-27 Zhaolin Ren , Tongzheng Ren , Haitong Ma , Na Li , Bo Dai

Spectral components of continuous squeezed fields are entangled. In this article we review and clarify this phenomenon by analyzing systematically the relations between the correlations of modes filtered from stationary continuous fields…

Quantum Physics · Physics 2015-07-03 Stefano Zippilli , Giovanni Di Giuseppe , David Vitali

Broadband multidimensional variational measurement allows to overcome Standard Quantum Limit (SQL) of a classical mechanical force detection, resulting from quantum back action, which perturbs evolution of a mechanical oscillator. In this…

Quantum Physics · Physics 2023-10-10 Aleksandr A. Movsisian , Sergey P. Vyatchanin

We present a general method to compute the nonlinear matter power spectrum for dark energy and modified gravity scenarios with percent-level accuracy. By adopting the halo model and nonlinear perturbation theory, we predict the reaction of…

Cosmology and Nongalactic Astrophysics · Physics 2019-07-16 Matteo Cataneo , Lucas Lombriser , Catherine Heymans , Alexander Mead , Alexandre Barreira , Sownak Bose , Baojiu Li

Accurate knowledge of the non-linear dark-matter power spectrum is important for understanding the large-scale structure of the Universe, the statistics of dark-matter haloes and their evolution, and cosmological gravitational lensing. We…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-18 Carlo Giocoli , Matthias Bartelmann , Ravi K. Sheth , Marcello Cacciato

We compare the measurements of the bispectrum and the estimate of its covariance obtained from a set of different methods for the efficient generation of approximate dark matter halo catalogs to the same quantities obtained from full N-body…

We introduce a nonlinear stochastic model reduction technique for high-dimensional stochastic dynamical systems that have a low-dimensional invariant effective manifold with slow dynamics, and high-dimensional, large fast modes. Given only…

Machine Learning · Statistics 2023-10-25 Felix X. -F. Ye , Sichen Yang , Mauro Maggioni

The spectral density function describes the second-order properties of a stationary stochastic process on $\mathbb{R}^d$. This paper considers the nonparametric estimation of the spectral density of a continuous-time stochastic process…

Statistics Theory · Mathematics 2023-02-07 Rafail Kartsioukas , Stilian Stoev , Tailen Hsing

We present a new model for the full shape of large-scale the power spectrum based on renormalized perturbation theory. To test the validity of this prescription, we compare this model against power spectra measured in a suite of 50 large…

Cosmology and Nongalactic Astrophysics · Physics 2010-11-03 Francesco Montesano , Ariel G. Sanchez , Stefanie Phleps

In this paper we analyze a suite of cosmological simulations of modified gravitational action f(R) models, where cosmic acceleration is induced by a scalar field that acts as a fifth force on all forms of matter. In particular, we focus on…

Cosmology and Nongalactic Astrophysics · Physics 2011-11-23 Héctor Gil-Marín , Fabian Schmidt , Wayne Hu , Raul Jimenez , Licia Verde

Within the framework of the Minimal Supersymmetric Standard Model (MSSM), we explore a decoupling of the parameters into separate sectors that determine consistency with collider data, the abundance of dark matter, and potential signatures…

High Energy Physics - Phenomenology · Physics 2016-07-27 Pearl Sandick

The bispectrum is the leading non-Gaussian statistic in large-scale structure, carrying valuable information on cosmology that is complementary to the power spectrum. To access this information, we need to model the bispectrum in the weakly…

Cosmology and Nongalactic Astrophysics · Physics 2022-01-12 Tobias Baldauf , Mathias Garny , Petter Taule , Theo Steele

We introduce a rigorous definition of general power-spectrum responses as resummed vertices with two hard and $n$ soft momenta in cosmological perturbation theory. These responses measure the impact of long-wavelength perturbations on the…

Cosmology and Nongalactic Astrophysics · Physics 2017-11-03 Alexandre Barreira , Fabian Schmidt

The cosmological power spectrum of the coherent matter flow is measured exploiting an improved prescription for the apparent anisotropic clustering pattern in redshift space. New statistical analysis is presented to provide an optimal…

Cosmology and Nongalactic Astrophysics · Physics 2013-08-22 Yong-Seon Song , Takahiro Nishimichi , Atsushi Taruya , Issha Kayo

A method is presented for tracing the locus of a specific peak in the frequency response under variation of a parameter. It is applicable to periodic, steady-state vibrations of harmonically forced nonlinear mechanical systems. It operates…

Computational Engineering, Finance, and Science · Computer Science 2021-01-01 Alwin Förster , Malte Krack

Second-order characteristics including covariance and spectral density functions are fundamentally important for both statistical applications and theoretical analysis in functional time series. In the high-dimensional setting where the…

Statistics Theory · Mathematics 2025-12-16 Bufan Li , Xinghao Qiao , Weichi Wu , Holger Dette

We present measurements of the bispectrum of dark matter halos in numerical simulations with non-Gaussian initial conditions of the local type. We show, in the first place, that the overall effect of primordial non-Gaussianity on the halo…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-03 Emiliano Sefusatti , Martin Crocce , Vincent Desjacques

We investigate theoretically dark resonance spectroscopy for a dilute atomic vapor confined in a thin (micro-metric) cell. We identify the physical parameters characterizing the spectra and study their influence. We focus on a Hanle-type…

Quantum Physics · Physics 2009-11-13 Horacio Failache , Lorenzo Lenci , Arturo Lezama , Daniel Bloch , Martial Ducloy

Modes with wavelengths larger than the survey window can have significant impact on the covariance within the survey window. The supersample covariance has been recognized as an important source of covariance for the power spectrum on small…

Cosmology and Nongalactic Astrophysics · Physics 2018-03-07 Kwan Chuen Chan , Azadeh Moradinezhad Dizgah , Jorge Noreña