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Conditional Neural Processes~(CNPs) bridge neural networks with probabilistic inference to approximate functions of Stochastic Processes under meta-learning settings. Given a batch of non-{\it i.i.d} function instantiations, CNPs are…

Machine Learning · Computer Science 2022-03-28 Zesheng Ye , Lina Yao

We put constraints on the main cosmological parameters of different spatially flat cosmological models by combining the recent clustering results of XMM-Newton soft (0.5-2 keV) X-ray sources, which have a redshift distribution with median…

Astrophysics · Physics 2009-11-10 Spyros Basilakos , Manolis Plionis

We search for the most suitable set of cosmological parameters that describes the observable universe. The search includes the possibility of quintessential flat universes, i.e., the analysis is restricted to the determination of the…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-13 Ariel Zandivarez , Hector J. Martinez

Constraints on the original Cardassian model and the modified polytropic Cardassian model are examined from the latest derived 397 Type Ia supernova (SNe Ia) data, the size of baryonic acoustic oscillation peak from the Sloan Digital Sky…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-13 Tai-Shan Wang , Puxun Wu

All cosmological observations to date are consistent with adiabatic, Gaussian and nearly scale invariant initial conditions. These findings provide strong evidence for a particular symmetry breaking pattern in the very early universe (with…

Cosmology and Nongalactic Astrophysics · Physics 2015-08-26 Jens Chluba , Jan Hamann , Subodh P. Patil

This paper presents a systematic literature review focusing on the application of machine learning techniques for deriving observational constraints in cosmology. The goal is to evaluate and synthesize existing research to identify…

Cosmology and Nongalactic Astrophysics · Physics 2025-10-14 Luis Rojas , Sebastián Espinoza , Esteban González , Carlos Maldonado , Fei Luo

Discovering the underlying dynamics of complex systems from data is an important practical topic. Constrained optimization algorithms are widely utilized and lead to many successes. Yet, such purely data-driven methods may bring about…

Dynamical Systems · Mathematics 2023-05-17 Nan Chen , Yinling Zhang

Context. Convolutional neural networks (CNNs) have been established as the go-to method for fast object detection and classification on natural images. This opens the door for astrophysical parameter inference on the exponentially…

Astrophysics of Galaxies · Physics 2020-01-29 J. Bialopetravičius , D. Narbutis

A formalism is presented that allows cosmological experiments to be tested for consistency, and allows a simple frequentist interpretation of the resulting significance levels. As an example of an application, this formalism is used to…

Astrophysics · Physics 2009-10-07 Max Tegmark , Emory Bunn , Wayne Hu

Weak Lensing (WL) surveys are reaching unprecedented depths, enabling the investigation of very small angular scales. At these scales, nonlinear gravitational effects lead to higher-order correlations making the matter distribution highly…

Cosmology and Nongalactic Astrophysics · Physics 2025-05-01 Divij Sharma , Biwei Dai , Uros Seljak

We consider an alternative to conventional three-point statistics such as the bispectrum, which is purely based on the Fourier phases of the density field: the line correlation function. This statistic directly probes the non-linear…

Cosmology and Nongalactic Astrophysics · Physics 2017-01-25 Alexander Eggemeier , Robert E. Smith

We introduce a non-perturbative method to constrain the amplitude of local-type primordial non-Gaussianity ($f_{\rm NL}$) using squeezed configurations of the CMB lensing convergence and cosmic shear bispectra. First, we use cosmological…

Cosmology and Nongalactic Astrophysics · Physics 2023-10-20 Samuel Goldstein , Oliver H. E. Philcox , J. Colin Hill , Angelo Esposito , Lam Hui

Naturalness problems such as the hierarchy problem and the origin of dark energy remain significant challenges in modern cosmology. This paper develops a rigorous mathematical framework where each observer defines their own universe, and…

General Relativity and Quantum Cosmology · Physics 2025-05-13 Ruby P. Madeimy

We propose a novel approach using neural networks (NNs) to differentiate between cosmological models, and implemented LIME as an interpretability approach to identify the key features influencing our model's decisions. We show the potential…

Cosmology and Nongalactic Astrophysics · Physics 2025-02-03 Indira Ocampo , George Alestas , Savvas Nesseris , Domenico Sapone

We use two model-independent methods to constrain the curvature of the universe. In the first method, we study the evolution of the curvature parameter ($\Omega_k^0$) with redshift by using the observations of the Hubble parameter and…

Cosmology and Nongalactic Astrophysics · Physics 2017-03-17 Akshay Rana , Deepak Jain , Shobhit Mahajan , Amitabha Mukherjee

Pairwise Markov Random Fields (MRFs) or undirected graphical models are parsimonious representations of joint probability distributions. Variables correspond to nodes of a graph, with edges between nodes corresponding to conditional…

Statistics Theory · Mathematics 2018-09-18 Eric Janofsky

We confront the concordance (standard) model of cosmology, the spatially flat $\Lambda$CDM Universe with power-law form of the primordial spectrum with Planck CMB angular power spectrum data searching for possible smooth deviations beyond…

Cosmology and Nongalactic Astrophysics · Physics 2014-01-30 Dhiraj Kumar Hazra , Arman Shafieloo

Cosmology constraints serve as a crucial criterion in discriminating cosmological models. The traditional combined method to constrain the cosmological parameters designates the corresponding theoretical value and observational data as…

Cosmology and Nongalactic Astrophysics · Physics 2023-10-17 Wei Hong , Kang Jiao , Yu-Chen Wang , Tingting Zhang , Tong-Jie Zhang

Given coarser-resolution projections from global climate models or satellite data, the downscaling problem aims to estimate finer-resolution regional climate data, capturing fine-scale spatial patterns and variability. Downscaling is any…

Signal Processing · Electrical Eng. & Systems 2025-01-28 Subhankar Ghosh , Arun Sharma , Jayant Gupta , Aneesh Subramanian , Shashi Shekhar