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The problem of distance metric learning is mostly considered from the perspective of learning an embedding space, where the distances between pairs of examples are in correspondence with a similarity metric. With the rise and success of…

Computer Vision and Pattern Recognition · Computer Science 2019-09-10 Yehao Li , Ting Yao , Yingwei Pan , Hongyang Chao , Tao Mei

Deep neural networks (DNNs) are poorly calibrated when trained in conventional ways. To improve confidence calibration of DNNs, we propose a novel training method, distance-based learning from errors (DBLE). DBLE bases its confidence…

Machine Learning · Computer Science 2020-02-19 Chen Xing , Sercan Arik , Zizhao Zhang , Tomas Pfister

In this work, we test the cosmic distance duality relation (CDDR) using the arbitrary redshift pivot Pad\'e-(2,1) expansion methodology developed in arXiv:2509.16196. This approach allows us to constrain cosmography parameters and test CDDR…

Cosmology and Nongalactic Astrophysics · Physics 2026-01-14 Shubham Barua , Sujit K. Dalui , Rikiya Okazaki , Shantanu Desai

Using a sample of 608 Type Ia supernovae from the SDSS-II and BOSS surveys, combined with a sample of foreground galaxies from SDSS-II, we estimate the weak lensing convergence for each supernova line-of-sight. We find that the correlation…

Our real universe is locally inhomogeneous. Dyer and Roeder introduced the smoothness parameter $\alpha$ to describe the influence of local inhomogeneity on angular diameter distance, and they obtained the angular diameter distance-redshift…

Cosmology and Nongalactic Astrophysics · Physics 2013-06-17 Xi Yang , Hao-Ran Yu , Tong-Jie Zhang

With assumptions that the violation of the distance-duality (DD) relation entirely arises from non-conservation of the photon number and the absorption is frequency independent in the observed frequency range, we perform…

Cosmology and Nongalactic Astrophysics · Physics 2013-05-30 Zhengxiang Li , Puxun Wu , Hongwei Yu , Zong-Hong Zhu

Strong Lensing is a powerful probe of the matter distribution in galaxies and clusters and a relevant tool for cosmography. Analyses of strong gravitational lenses with Deep Learning have become a popular approach due to these astronomical…

The presence of inhomogeneities modifies the cosmic distances through the gravitational lensing effect, and, indirectly, must affect the main cosmological tests. Assuming that the dark energy is a smooth component, the simplest way to…

Astrophysics · Physics 2008-11-26 R. C. Santos , J. V. Cunha , J. A. S. Lima

Strong gravitational lensing provides a geometric probe of cosmology in a unique manner through distance ratios involving the source and lens. This is well known for the time delay distance derived from measured delays between lightcurves…

Cosmology and Nongalactic Astrophysics · Physics 2016-10-12 Eric V. Linder

Supernova H0pe is a multiply-imaged Type Ia supernova (SN~Ia) and the second lensed SN to yield a measurement of the Hubble constant by the time-delay cosmography method, finding $H_0 = 75.4^{+8.1}_{-5.5} \text{km s}^{-1} \text{Mpc}^{-1}$…

As an exact result required by the Etherington reciprocity theorem, the cosmic distance duality relation (CDDR), $\eta(z)=D_L(z)(1+z)^{-2}/D_A(z)=1$ plays an essential part in modern cosmology. In this paper, we present a new method…

Cosmology and Nongalactic Astrophysics · Physics 2024-02-19 Liu Tonghua , Cao Shuo , Ma Shuai , Liu Yuting , Zheng Chenfa , Wang Jieci

Testing the distance-sum-rule in strong lensing systems provides an interesting method to determine the curvature parameter $\Omega_k$ using more local objects. In this paper, we apply this method to a quite recent data set of strong…

Cosmology and Nongalactic Astrophysics · Physics 2019-02-06 Jing-Zhao Qi , Shuo Cao , Sixuan Zhang , Marek Biesiada , Yan Wu , Zong-Hong Zhu

Absolute distances from strong lensing can anchor Type Ia Supernovae (SNe Ia) at cosmological distances giving a model-independent inference of the Hubble constant ($H_0$). Future observations could provide strong lensing time-delay…

Cosmology and Nongalactic Astrophysics · Physics 2024-01-29 Xiaolei Li , Ryan E. Keeley , Arman Shafieloo , Kai Liao

In this paper, we use quasars calibrated from type Ia supernova (SN Ia) to constrain cosmological models. We consider three different X-ray luminosity ($L_{X}$) - ultraviolet luminosity ($L_{UV}$) relations of quasars, i.e., the standard…

Cosmology and Nongalactic Astrophysics · Physics 2024-06-14 Haixiang Zhang , Yang Liu , Hongwei Yu , Xiaodong Nong , Nan Liang , Puxun Wu

In this letter, the distance-duality (DD) relation is reconstructed by Gaussian process (GP) which is cosmological model-independent. Generally, the GP plays two important roles. One is to shape the $\eta$ tendency which denotes the…

Cosmology and Nongalactic Astrophysics · Physics 2015-01-07 Yi Zhang

The abundance of dark matter (DM) subhalos orbiting a host galaxy is a generic prediction of the cosmological framework, and is a promising way to constrain the nature of DM. In this paper, we investigate the use of machine learning-based…

Astrophysics of Galaxies · Physics 2023-01-02 Abdullah Bazarov , María Benito , Gert Hütsi , Rain Kipper , Joosep Pata , Sven Põder

We study the feasibility of detecting weak lensing spatial correlations between Supernova (SN) Type Ia magnitudes with present (Dark Energy Survey, DES) and future (Large Synoptic Survey Telescope, LSST) surveys. We investigate the angular…

Cosmology and Nongalactic Astrophysics · Physics 2017-01-25 D. Scovacricchi , R. C. Nichol , E. Macaulay , D. Bacon

We present a cosmological model-independent determination of the Hubble constant, $H_0$, by combining time-delay measurements from seven TDCOSMO systems, Einstein radius measurements, and Type Ia Supernovae data sourced from the Pantheon+…

Cosmology and Nongalactic Astrophysics · Physics 2025-05-28 L. R. Colaço , R. F. L. Holanda , Z. C. Santana , R. Silva

We use strongly gravitationally lensed (SGL) systems to put additional constraints on a set of holographic dark energy models. Data available in the literature (redshift and velocity dispersion) is used to obtain the Einstein radius and…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-17 Victor H. Cardenas , Alexander Bonilla , Veronica Motta , Sergio del Campo

Testing the cosmic distance duality relation (CDDR) constitutes an important task for cosmology and fundamental physics since any violation of it would be a clear evidence of new physics. In this {\it Letter}, we propose a new test for the…

Cosmology and Nongalactic Astrophysics · Physics 2012-06-29 R. F. L. Holanda , R. S. Goncalves , J. S. Alcaniz
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