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This monograph provides a largely self--contained and broadly accessible exposition of two cosmological applications of algebraic quantum field theory (QFT) in curved spacetime: a fundamental analysis of the cosmological evolution according…

General Relativity and Quantum Cosmology · Physics 2015-06-08 Thomas-Paul Hack

The Independent Component Analysis (ICA) algorithm is implemented as a neural network for separating signals of different origin in astrophysical sky maps. Due to its self-organizing capability, it works without prior assumptions on the…

(Sub-)millimetre single-dish telescopes feature faster mapping speeds and access larger spatial scales than their interferometric counterparts. However, atmospheric fluctuations tend to dominate their signals and complicate recovery of the…

Instrumentation and Methods for Astrophysics · Physics 2026-03-30 Jonas Würzinger , Joshiwa van Marrewijk , Thomas W. Morris , Richard Fuchs , Tony Mroczkowski , Lukas Heinrich

Modern observatories are designed to deliver increasingly detailed views of astrophysical signals. To fully realize the potential of these observations, principled data-analysis methods are required to effectively separate and reconstruct…

Instrumentation and Methods for Astrophysics · Physics 2025-11-19 Matteo Guardiani , Vincent Eberle , Margret Westerkamp , Julian Rüstig , Philipp Frank , Torsten Enßlin

Bayesian Inference is a powerful approach to data analysis that is based almost entirely on probability theory. In this approach, probabilities model {\it uncertainty} rather than randomness or variability. This thesis is composed of a…

Astrophysics · Physics 2008-09-08 Brendon J. Brewer

The technique of intensity mapping (IM) has emerged as a powerful tool to explore the universe at $z < 6$. IM measures the integrated emission from sources over a broad range of frequencies, unlocking significantly more information than…

Cosmology and Nongalactic Astrophysics · Physics 2019-11-01 Hamsa Padmanabhan

Integrated information theory (IIT) is a theoretical framework that provides a quantitative measure to estimate when a physical system is conscious, its degree of consciousness, and the complexity of the qualia space that the system is…

Artificial Intelligence · Computer Science 2022-12-12 Eduardo C. Garrido-Merchán , Javier Sánchez-Cañizares

In the analysis of real-world data, extracting meaningful features from signals is a crucial task. This is particularly challenging when signals contain non-stationary frequency components. The Iterative Filtering (IF) method has proven to…

Numerical Analysis · Mathematics 2026-04-01 Giuseppe Scarlato , Antonio Cicone , Marco Donatelli

Classification and characterization of variable phenomena and transient phenomena are critical for astrophysics and cosmology. These objects are commonly studied using photometric time series or spectroscopic data. Given that many ongoing…

Instrumentation and Methods for Astrophysics · Physics 2020-01-08 Javiera Astudillo , Pavlos Protopapas , Karim Pichara , Pablo Huijse

Beyond the linear regime, Fourier modes of cosmological random fields become correlated, and the power spectrum of density fluctuations contains only a fraction of the available cosmological information. To unveil this formerly hidden…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-25 M. Wolk , J. Carron , I. Szapudi

Optimal extraction of the non-Gaussian information encoded in the Large-Scale Structure (LSS) of the universe lies at the forefront of modern precision cosmology. We propose achieving this task through the use of the Wavelet Scattering…

Cosmology and Nongalactic Astrophysics · Physics 2022-05-30 Georgios Valogiannis , Cora Dvorkin

The effective field theory (EFT) of dark energy provides a model-independent framework for studying cosmology within scalar-tensor theories. In this work, we explore how the time evolution of the cosmological background, inferred from…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-15 Fumiya Okamatsu , Kazufumi Takahashi

Data analysis is the application of probability and statistics to draw inference from observation. Is a signal present or absent? Is the source an inspiraling binary system or a supernova? At what point in the sky is the radiation incident…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Lee Samuel Finn

Information Theory provides a fundamental basis for analysis, and for a variety of subsequent methodological approaches, in relation to uncertainty quantification. The transversal character of concepts and derived results justifies its…

Statistics Theory · Mathematics 2024-11-27 Jose M. Angulo , Francisco J. Esquivel , Ana E. Madrid , Francisco J. Alonso

Quantum field theory (QFT) on non-stationary spacetimes is well understood from the side of the algebra of observables. The state space, however, is largely unexplored, due to the non-existence of distinguished states (vacuum, scattering…

General Relativity and Quantum Cosmology · Physics 2018-09-25 Klaus Fredenhagen , Thomas-Paul Hack , Nicola Pinamonti

Astrophysics has become a domain extremely rich of scientific data. Data mining tools are needed for information extraction from such large datasets. This asks for an approach to data management emphasizing the efficiency and simplicity of…

Databases · Computer Science 2009-11-10 M. Frailis , A. De Angelis , V. Roberto

The design of spacecraft thermal protection systems (TPS) requires accurate knowledge of thermal transport properties across wide ranges of temperature and pressure. For fibrous insulation, conventional measurement techniques in laboratory…

Computational Physics · Physics 2026-01-23 Alex Alberts , Akshay Jacob Thomas , Kamran Daryabeigi , Ilias Bilionis

Field-level inference is emerging as a promising technique for optimally extracting information from cosmological datasets. Indeed, previous analyses have shown field-based inference produces tighter parameter constraints than power…

Cosmology and Nongalactic Astrophysics · Physics 2023-07-04 Supranta S. Boruah , Eduardo Rozo

We present a comparative study of the accuracy and precision of correlation function methods and full-field inference in cosmological data analysis. To do so, we examine a Bayesian hierarchical model that predicts log-normal fields and…

Cosmology and Nongalactic Astrophysics · Physics 2021-09-07 Florent Leclercq , Alan Heavens

Classical Density Functional Theory (DFT) is a statistical-mechanical framework to analyze fluids, which accounts for nanoscale fluid inhomogeneities and non-local intermolecular interactions. DFT can be applied to a wide range of…

Computational Engineering, Finance, and Science · Computer Science 2017-02-07 Andreas Nold , Benjamin D. Goddard , Peter Yatsyshin , Nikos Savva , Serafim Kalliadasis
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