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We determine the cosmic expansion rate from supernovae of type Ia to set up a data-based distance measure that does not make assumptions about the constituents of the universe, i.e. about a specific parametrisation of a Friedmann…

宇宙学与河外天体物理 · 物理学 2019-10-09 Jenny Wagner , Sven Meyer

Strongly lensed type Ia supernovae (SNe Ia) are expected to have some advantages in measuring time delays of multiple images, and so they have a great potential to be developed into a powerful late-universe cosmological probe. In this…

宇宙学与河外天体物理 · 物理学 2022-07-26 Jing-Zhao Qi , Yu Cui , Wei-Hong Hu , Jing-Fei Zhang , Jing-Lei Cui , Xin Zhang

The Hubble constant, $H_0$, which is a crucial parameter in astrophysics and cosmology, is under significant tension. We explore an independent technique to measure $H_0$ based on the time-delay cosmography with strong gravitational lensing…

宇宙学与河外天体物理 · 物理学 2025-05-13 Yuting Liu , Masamune Oguri

Strongly lensed quasars can be used to constrain cosmological parameters through time-delay cosmography. Models of the lens masses are a necessary component of this analysis. To enable time-delay cosmography from a sample of…

We introduce a Bayesian solution to the problem of inferring the density profile of strong gravitational lenses when the lens galaxy may contain multiple dark or faint substructures. The source and lens models are based on a superposition…

天体物理仪器与方法 · 物理学 2015-10-12 Brendon J. Brewer , David Huijser , Geraint F. Lewis

Bayesian neural networks (BNN) and deep ensembles are principled approaches to estimate the predictive uncertainty of a deep learning model. However their practicality in real-time, industrial-scale applications are limited due to their…

机器学习 · 计算机科学 2020-10-27 Jeremiah Zhe Liu , Zi Lin , Shreyas Padhy , Dustin Tran , Tania Bedrax-Weiss , Balaji Lakshminarayanan

Strong gravitational lens systems with extended sources are of special interest because they provide additional constraints on the models of the lens systems. To use a gravitational lens system for measuring the Hubble constant, one would…

天体物理学 · 物理学 2009-11-11 S. H. Suyu , P. J. Marshall , M. P. Hobson , R. D. Blandford

We exploit the great potential offered by Bayesian Neural Networks (BNNs) to directly decipher the internal composition of neutron stars (NSs) based on their macroscopic properties. By analyzing a set of simulated observations, namely NS…

核理论 · 物理学 2023-09-15 Valéria Carvalho , Márcio Ferreira , Tuhin Malik , Constança Providência

The willingness to trust predictions formulated by automatic algorithms is key in a vast number of domains. However, a vast number of deep architectures are only able to formulate predictions without an associated uncertainty. In this…

图像与视频处理 · 电气工程与系统科学 2022-09-28 Matteo Ferrante , Tommaso Boccato , Nicola Toschi

Strong gravitational lensing provides valuable insights into the mass distribution of galaxies and the nature of dark matter. However, its modeling is computationally demanding due to the large volume of strong lensing observations. In this…

宇宙学与河外天体物理 · 物理学 2026-04-29 Juan J. Ancona-Flores , A. Hernández-Almada , V. Motta

Bayesian neural networks (BNN) promise to combine the predictive performance of neural networks with principled uncertainty modeling important for safety-critical systems and decision making. However, posterior uncertainty estimates depend…

机器学习 · 计算机科学 2025-06-06 Tristan Cinquin , Robert Bamler

Gravitational waves (GWs) from binary neutron stars (BNSs) are expected to be accompanied by electromagnetic (EM) emissions, which help identify the host galaxy. Since GWs directly measure their luminosity distances, joint GW-EM…

广义相对论与量子宇宙学 · 物理学 2025-10-30 Tathagata Ghosh , Bhaskar Biswas , Sukanta Bose , Shasvath J. Kapadia

Gravitational waves (GWs) can be distorted by intervening mass distributions while propagating, leading to frequency-dependent modulations that imprint a distinct signature on the observed waveforms. Bayesian inference for GW lensing with…

广义相对论与量子宇宙学 · 物理学 2026-01-15 Juno C. L. Chan , Lorena Magaña Zertuche , Jose María Ezquiaga , Rico K. L. Lo , Luka Vujeva , Joey Bowman

One challenge in strong gravitational lensing cosmography is the measurement of time delays between multiple lensed images, which are essential for constraining the Hubble constant (\(H_0\)). In this study, we investigate how assumptions…

宇宙学与河外天体物理 · 物理学 2026-05-20 Guanhua Rui , Bin Hu , Wei Du

Modeling natural phenomena with artificial neural networks (ANNs) often provides highly accurate predictions. However, ANNs often suffer from over-parameterization, complicating interpretation and raising uncertainty issues. Bayesian neural…

机器学习 · 统计学 2025-03-14 Eirik Høyheim , Lars Skaaret-Lund , Solve Sæbø , Aliaksandr Hubin

A regression-based BNN model is proposed to predict spatiotemporal quantities like hourly rider demand with calibrated uncertainties. The main contributions of this paper are (i) A feed-forward deterministic neural network (DetNN)…

机器学习 · 计算机科学 2019-01-18 Xinyu Hu , Paul Szerlip , Theofanis Karaletsos , Rohit Singh

Recurrent neural networks (RNNs) are nonlinear dynamical models commonly used in the machine learning and dynamical systems literature to represent complex dynamical or sequential relationships between variables. More recently, as deep…

统计方法学 · 统计学 2018-02-08 Patrick L. McDermott , Christopher K. Wikle

The 0th, 1st and 2nd derivatives of a ``Fermat potential'' give the three D's of gravitational lensing: delay, deflection and distortion. Observations of these delays, deflections and distortions for doubly and quadruply imaged quasars give…

天体物理学 · 物理学 2007-05-23 Paul L. Schechter

Measuring the structural parameters (size, total brightness, light concentration, etc.) of galaxies is a significant first step towards a quantitative description of different galaxy populations. In this work, we demonstrate that a Bayesian…

天体物理仪器与方法 · 物理学 2022-07-08 Dimitrios Tanoglidis , Aleksandra Ćiprijanović , Alex Drlica-Wagner

Machine learning models can greatly improve the search for strong gravitational lenses in imaging surveys by reducing the amount of human inspection required. In this work, we test the performance of supervised, semi-supervised, and…

星系天体物理 · 物理学 2023-08-17 Keerthi Vasan G. C. , Stephen Sheng , Tucker Jones , Chi Po Choi , James Sharpnack