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Rapid and accurate evaluation of the nonlinear matter power spectrum, $P(k)$, as a function of cosmological parameters and redshift is of fundamental importance in cosmology. Analytic approximations provide an interpretable solution, yet…

Cosmology and Nongalactic Astrophysics · Physics 2024-06-24 Deaglan J. Bartlett , Benjamin D. Wandelt , Matteo Zennaro , Pedro G. Ferreira , Harry Desmond

The reconstruction of the CMBR power spectrum from a map represents a major computational challenge to which much effort has been applied. However, once the power spectrum has been recovered there still remains the problem of extracting…

Astrophysics · Physics 2009-12-30 Steen Hannestad

In this paper, we propose a Gaussian Process (GP) emulator for the calculation of a) tomographic weak lensing band-power spectra, and b) coefficients of summary data massively compressed with the MOPED algorithm. In the former case…

Cosmology and Nongalactic Astrophysics · Physics 2020-07-29 Arrykrishna Mootoovaloo , Alan F. Heavens , Andrew H. Jaffe , Florent Leclercq

The confrontation of the Cosmic Microwave Background (CMB) theoretical angular power spectrum with available data often requires the calculation of large numbers of power spectra. The standard practice is to use a fast code to compute the…

Astrophysics · Physics 2009-10-31 Kris Sigurdson , Douglas Scott

The ability to efficiently infer system parameters is essential in any signal-processing task that requires fast operation. Dealing with quantum systems, a serious challenge arises due to substantial growth of the underlying Hilbert space…

Quantum Physics · Physics 2025-04-23 Lewis A. Clark , Jan Kolodynski

We present analytic expressions for the cosmic string unequal time correlator (UETC) in the context of the Unconnected Segment Model (USM). This eliminates the need to simulate the many thousands of network realisations needed to estimate…

Cosmology and Nongalactic Astrophysics · Physics 2013-04-23 Anastasios Avgoustidis , Edmund J. Copeland , Adam Moss , Dimitri Skliros

Covariance matrices are important tools for obtaining reliable parameter constraints. Advancements in cosmological surveys lead to larger data vectors and, consequently, increasingly complex covariance matrices, whose number of elements…

Cosmology and Nongalactic Astrophysics · Physics 2022-05-31 Tassia Ferreira , Valerio Marra

Using a nonparametric function estimation methodology, we present a comparative analysis of the WMAP 1-, 3-, 5-, and 7-year data releases for the CMB angular power spectrum with respect to the following key questions: (a) How well is the…

Cosmology and Nongalactic Astrophysics · Physics 2012-01-10 Amir Aghamousa , Mihir Arjunwadkar , Tarun Souradeep

We propose a solution to the CMB component separation problem based on standard parameter estimation techniques. We assume a parametric spectral model for each signal component, and fit the corresponding parameters pixel by pixel in a…

We determine the best-fit values and confidence limits for dynamical dark energy parameters together with other cosmological parameters on the basis of different datasets which include WMAP9 or Planck-2013 results on CMB anisotropy, BAO…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-18 B. Novosyadlyj , O. Sergijenko , R. Durrer , V. Pelykh

Dimension reduction is often an important step in the analysis of high-dimensional data. PCA is a popular technique to find the best low-dimensional approximation of high-dimensional data. However, classical PCA is very sensitive to…

Computation · Statistics 2019-01-14 Holger Cevallos-Valdiviezo , Stefan Van Aelst

We explore various estimators for the parameters of a pair-copula construction (PCC), among those the stepwise semiparametric (SSP) estimator, designed for this dependence structure. We present its asymptotic properties, as well as the…

Statistics Theory · Mathematics 2013-03-21 Ingrid Hobæk Haff

The 3D matter power spectrum, $P_{\delta}(k,z)$ is a fundamental quantity in the analysis of cosmological data such as large-scale structure, 21cm observations, and weak lensing. Existing computer models (Boltzmann codes) such as CLASS can…

Cosmology and Nongalactic Astrophysics · Physics 2021-11-09 Arrykrishna Mootoovaloo , Andrew H. Jaffe , Alan F. Heavens , Florent Leclercq

We apply the iterative Expectation-Maximization algorithm (EM) to estimate the power spectrum of the CMB from multifrequency microwave maps. In addition, we are also able to provide a reconstruction of the CMB map. By assuming that the…

Astrophysics · Physics 2009-11-07 E. Martinez-Gonzalez , J. M. Diego , P. Vielva , J. Silk

Cosmological parameter estimation is traditionally performed in the Bayesian context. By adopting an "agnostic" statistical point of view, we show the interest of confronting the Bayesian results to a frequentist approach based on…

Cosmology and Nongalactic Astrophysics · Physics 2016-07-12 S. Henrot-Versillé , O. Perdereau , S. Plaszczynski , B. Rouillé d'Orfeuil , M. Spinelli , M. Tristram

We present a parameter-free variant of the halo model that significantly improves the precision of matter clustering predictions, particularly in the challenging 1-halo to 2-halo transition regime, where standard halo models often fail.…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-18 Samuel Brieden , Florian Beutler , Marcos Pellejero-Ibañez

Parameter estimation on gravitational wave signals from compact binary coalescence (CBC) requires the evaluation of computationally intensive waveform models, typically the bottleneck in the analysis. This cost will increase further as low…

General Relativity and Quantum Cosmology · Physics 2017-05-22 Serena Vinciguerra , John Veitch , Ilya Mandel

CMB anisotropy data could put powerful constraints on theories of the evolution of our Universe. Using the observations of the large number of CMB experiments, many studies have put constraints on cosmological parameters assuming different…

Astrophysics · Physics 2015-06-24 Marian Douspis

Poyiadjis et al. (2011) show how particle methods can be used to estimate both the score and the observed information matrix for state space models. These methods either suffer from a computational cost that is quadratic in the number of…

Computation · Statistics 2015-09-07 Christopher Nemeth , Paul Fearnhead , Lyudmila Mihaylova

Capacitive coupling wireless power transfer (CCWPT) is one of the pervasive methods to transfer power in the reactive near-field zone. In this paper, a flexible design methodology based on Binary Particle Swarm Optimization (BPSO) algorithm…

Systems and Control · Electrical Eng. & Systems 2024-08-22 Rasool Keshavarz , Ehsan Majidi , Ali Raza , Negin Shariati
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