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In decision-making systems, it is important to have classifiers that have calibrated uncertainties, with an optimisation objective that can be used for automated model selection and training. Gaussian processes (GPs) provide uncertainty…

Machine Learning · Statistics 2020-03-05 Vincent Dutordoir , Mark van der Wilk , Artem Artemev , James Hensman

We present forecast results for constraining the primordial non-Gaussianity from photometric surveys through a large-scale enhancement of the galaxy clustering amplitude. In photometric surveys, the distribution of observed galaxies at high…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-19 Toshiya Namikawa , Tomohiro Okamura , Atsushi Taruya

In this paper, we analyze parity-violating effects in the propagation of gravitational waves (GWs). For this purpose, we adopt a newly proposed parametrized post-Einstenian (PPE) formalism, which encodes modified gravity corrections to the…

General Relativity and Quantum Cosmology · Physics 2024-06-05 Matteo Califano , Rocco D'Agostino , Daniele Vernieri

Weak lensing (WL) promises to be a particularly sensitive probe of both the growth of large scale structure (LSS) as well as the fundamental relation between matter density perturbations and metric perturbations, thus providing a powerful…

Cosmology and Nongalactic Astrophysics · Physics 2016-05-25 Geraint Pratten , Dipak Munshi , Patrick Valageas , Philippe Brax

The observations of gravitational-wave signals from astrophysical sources such as binary inspirals will be used to test General Relativity for self consistency and against alternative theories of gravity. I describe a simple formula that…

General Relativity and Quantum Cosmology · Physics 2012-10-09 Michele Vallisneri

Strong gravitational lensing gives access to the total mass distribution of galaxies. It can unveil a great deal of information about the lenses dark matter content when combined with the study of the lenses light profile. However,…

Astrophysics of Galaxies · Physics 2017-08-02 Judith Biernaux , Pierre Magain , Clementine Hauret

The parameterized post-Einsteinian formalism was developed to search for generic deviations from general relativity with gravitational waves. We here present constraints on this framework using Bayesian analysis of a set of binary pulsar…

General Relativity and Quantum Cosmology · Physics 2020-05-13 Remya Nair , Nicolás Yunes

For the first detection of a novel astrophysical phenomenon, scientific standards are particularly high. Especially in a multi-messenger context, there are also opportunity costs to follow-up observations on any detection claims. So in…

General Relativity and Quantum Cosmology · Physics 2025-05-06 David Keitel

When a gravitational wave encounters a massive object along the line of sight, repeated copies of the original signal may be produced due to gravitational lensing. In this paper, we develop a series of new machine-learning based statistical…

General Relativity and Quantum Cosmology · Physics 2025-09-09 Giulia Campailla , Marco Raveri , Wayne Hu , Jose María Ezquiaga

We compute the effects of a stochastic background of gravitational waves on multiply imaged systems or on weak lensing. There are two possible observable effects, a static relative deflection of images or shear, and an induced time…

Astrophysics · Physics 2009-12-30 Rennan Bar-Kana

Evaluation in scientific reconstruction is dominated by pointwise metrics - RMSE, MAE, per-event resolution - under the implicit assumption that lower error means better reconstruction. We show that this assumption fails structurally for…

We study the parameter estimation bias induced by intrinsic alignments on a Euclid-like weak lensing survey. For the intrinsic alignment signal we assume a composite alignment model for elliptical and spiral galaxies using tidal shearing…

Cosmology and Nongalactic Astrophysics · Physics 2019-10-15 Robert Reischke , Björn Malte Schäfer

The remarkable sensitivity achieved by the planned Laser Interferometer Space Antenna (LISA) will allow us to observe gravitational-wave signals from the mergers of massive black hole binaries (MBHBs) with signal-to-noise ratio (SNR) in the…

General Relativity and Quantum Cosmology · Physics 2025-12-22 Sophia Yi , Francesco Iacovelli , Sylvain Marsat , Digvijay Wadekar , Emanuele Berti

When a microlensing light curve is contaminated by blended light from unresolved stars near the line of sight to the lensed star, the light curve shape and corresponding parameterization for the event will differ from the values expected…

Astrophysics · Physics 2009-10-31 Cheongho Han

This paper addresses the passive detection of a common rank-one subspace signal received in two multi-sensor arrays. We consider the case of a one-antenna transmitter sending a common Gaussian signal, independent Gaussian noises with…

Signal Processing · Electrical Eng. & Systems 2024-02-13 David Ramírez , Ignacio Santamaria , Louis L. Scharf

Estimating the parameters of gravitational wave signals detected by ground-based detectors requires an understanding of the properties of the detectors' noise. In particular, the most commonly used likelihood function for gravitational wave…

Linear partial differential equations (PDEs) are an important, widely applied class of mechanistic models, describing physical processes such as heat transfer, electromagnetism, and wave propagation. In practice, specialized numerical…

Machine Learning · Computer Science 2024-04-30 Marvin Pförtner , Ingo Steinwart , Philipp Hennig , Jonathan Wenger

Theories beyond general relativity (GR) modify the propagation of gravitational waves (GWs). In some, inhomogeneities (aka. gravitational lenses) allow interactions between the metric and additional fields to cause lens-induced…

General Relativity and Quantum Cosmology · Physics 2023-07-25 Srashti Goyal , Aditya Vijaykumar , Jose Maria Ezquiaga , Miguel Zumalacarregui

Gravitational-wave (GW) parameter estimation typically assumes that instrumental noise is Gaussian and stationary. Obvious departures from this idealization are typically handled on a case-by-case basis, e.g., through bespoke procedures to…

Instrumentation and Methods for Astrophysics · Physics 2026-04-15 Ronan Legin , Maximiliano Isi , Kaze W. K. Wong , Yashar Hezaveh , Laurence Perreault-Levasseur

We present the methodology for a joint cosmological analysis of weak gravitational lensing from the fourth data release of the ESO Kilo-Degree Survey (KiDS-1000) and galaxy clustering from the partially overlapping BOSS and 2dFLenS surveys.…

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