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We propose to constrain the primordial (local-type) non-Gaussianity signal by first reconstructing the initial density field to remove the late time non-Gaussianities introduced by gravitational evolution. Our reconstruction algorithm…

宇宙学与河外天体物理 · 物理学 2025-08-21 Xinyi Chen , Nikhil Padmanabhan , Daniel J. Eisenstein

We develop a novel deep learning method for uncertainty quantification in stochastic partial differential equations based on Bayesian neural network (BNN) and Hamiltonian Monte Carlo (HMC). A BNN efficiently learns the posterior…

机器学习 · 统计学 2022-10-24 Jeahan Jung , Minseok Choi

Given a sample from a discretely observed compound Poisson process, we consider non-parametric estimation of the density $f_0$ of its jump sizes, as well as of its intensity $\lambda_0.$ We take a Bayesian approach to the problem and…

统计理论 · 数学 2023-02-27 Shota Gugushvili , Frank van der Meulen , Peter Spreij

Standard approaches to Bayesian parameter inference in large scale structure assume a Gaussian functional form (chi-squared form) for the likelihood. This assumption, in detail, cannot be correct. Likelihood free inferences such as…

宇宙学与河外天体物理 · 物理学 2017-06-21 ChangHoon Hahn , Mohammadjavad Vakili , Kilian Walsh , Andrew P. Hearin , David W. Hogg , Duncan Campbell

The initial radial density profiles of dark matter halos are laid down by gravitational collapse in hierarchical structure formation scenarios and are subject to further compression as baryons cool and settle to the halo centers. We here…

天体物理学 · 物理学 2009-11-13 J. A. Sellwood , Stacy S. McGaugh

We develop a new method based on Gaussian process to reconstruct the mass distribution of binary black holes (BBHs). Instead of prespecifying the formalisms of mass distribution, we introduce a more flexible and nonparametric model with…

高能天体物理现象 · 物理学 2021-08-18 Yin-Jie Li , Yuan-Zhu Wang , Ming-Zhe Han , Shao-Peng Tang , Qiang Yuan , Yi-Zhong Fan , Da-Ming Wei

The halo model formalism is widely adopted in cosmological studies for predicting the growth of large-scale structure in the Universe. However, to date there have been relatively few direct comparisons of the halo model with more accurate…

宇宙学与河外天体物理 · 物理学 2021-10-13 Alberto Acuto , Ian G. McCarthy , Juliana Kwan , Jaime Salcido , Sam G. Stafford , Andreea S. Font

We investigate 3D density and weak lensing profiles of dark matter haloes predicted by a cosmology-rescaling algorithm for $N$-body simulations. We extend the rescaling method of Angulo & White (2010) and Angulo & Hilbert (2015) to improve…

宇宙学与河外天体物理 · 物理学 2018-07-04 Malin Renneby , Stefan Hilbert , Raúl E. Angulo

Galaxy bispectrum is a promising probe of inflationary physics in the early universe as a measure of primordial non-Gaussianity (PNG), whereas its signal-to-noise ratio is significantly affected by the mode coupling due to non-linear…

宇宙学与河外天体物理 · 物理学 2021-01-13 Masato Shirasaki , Naonori S. Sugiyama , Ryuichi Takahashi , Francisco-Shu Kitaura

The cross-correlation of galaxies at different redshifts with other tracers of the large-scale structure can be used to reconstruct the cosmic mean of key physical quantities, and their evolution over billions of years, at high precision.…

宇宙学与河外天体物理 · 物理学 2025-08-15 Sara Maleubre , Matteo Zennaro , David Alonso , Ian McCarthy , Matthieu Schaller , Joop Schaye

We propose a novel framework for joint magnetic resonance image reconstruction and uncertainty quantification using under-sampled k-space measurements. The problem is formulated as a Bayesian linear inverse problem, where prior…

图像与视频处理 · 电气工程与系统科学 2026-03-17 Ahmed Karam Eldaly , Matteo Figini , Daniel C. Alexander

We present an analytic model for the fully nonlinear power spectrum P and bispectrum Q of the cosmological mass density field. The model is based on physical properties of dark matter halos, with the three main model inputs being analytic…

天体物理学 · 物理学 2009-06-16 Chung-Pei Ma , J. N. Fry

We propose a novel method to reconstruct high-resolution three-dimensional mass maps using data from photometric weak-lensing surveys. We apply an adaptive LASSO algorithm to perform a sparsity-based reconstruction on the assumption that…

宇宙学与河外天体物理 · 物理学 2022-02-03 Xiangchong Li , Naoki Yoshida , Masamune Oguri , Shiro Ikeda , Wentao Luo

Non-Gaussian likelihoods, ubiquitous throughout cosmology, are a direct consequence of nonlinearities in the physical model. Their treatment requires Monte-Carlo Markov-chain or more advanced sampling methods for the determination of…

宇宙学与河外天体物理 · 物理学 2023-05-24 Lennart Röver , Lea Carlotta Bartels , Björn Malte Schäfer

Subject of this paper is the simplification of Markov chain Monte Carlo sampling as used in Bayesian statistical inference by means of normalising flows, a machine learning method which is able to construct an invertible and differentiable…

宇宙学与河外天体物理 · 物理学 2025-04-24 Tobias Röspel , Adrian Schlosser , Björn Malte Schäfer

We present a fully probabilistic, physical model of the non-linearly evolved density field, as probed by realistic galaxy surveys. Our model is valid in the linear and mildly non-linear regimes and uses second order Lagrangian perturbation…

宇宙学与河外天体物理 · 物理学 2015-06-04 Jens Jasche , Benjamin D. Wandelt

The baryon acoustic oscillation (BAO) reconstruction plays a crucial role in cosmological analysis for spectroscopic galaxy surveys because it can make the density field effectively more linear and more Gaussian. The combination of the…

宇宙学与河外天体物理 · 物理学 2024-12-10 Ruiyang Zhao , Kazuya Koyama , Yuting Wang , Gong-Bo Zhao

The quintessence dark energy potential is reconstructed in a model-independent way. Reconstruction relies on a Gaussian process and on available expansion-rate data. Specifically, 40-point values of $H(z)$ are used, consisting of a 30-point…

广义相对论与量子宇宙学 · 物理学 2022-03-15 Emilio Elizalde , Martiros Khurshudyan , K. Myrzakulov , S. Bekov

We present a Bayesian nonparametric Poisson factorization model for modeling network data with an unknown and potentially growing number of overlapping communities. The construction is based on completely random measures and allows the…

统计方法学 · 统计学 2019-02-28 Fadhel Ayed , François Caron

We investigate various phenomenological schemes for the rapid generation of 3D mock galaxy catalogues with a given power spectrum and bispectrum. We apply the fast bispectrum estimator \MODALLSS{} to these mock galaxy catalogues and compare…

宇宙学与河外天体物理 · 物理学 2019-09-10 Johnathan Hung , Marc Manera , E. P. S. Shellard