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Conformalized Quantile Regression (CQR) is a recently proposed method for constructing prediction intervals for a response $Y$ given covariates $X$, without making distributional assumptions. However, existing constructions of CQR can be…

Methodology · Statistics 2024-05-16 Raphael Rossellini , Rina Foygel Barber , Rebecca Willett

We study uncertainties in the equation of state of neutron stars using conformal prediction as a distribution-free and model-agnostic method that provides coverage guarantees. In particular, we apply the Conformalized Quantile Regression…

A reliable method for estimating the black-hole masses of high-redshift quasars would provide crucial new information for understanding the nature and cosmological evolution of quasars. In this proceedings we summarize the results of our…

Astrophysics · Physics 2007-05-23 R. J McLure , M. J. Jarvis

We report on a study that finds a positive correlation between black hole mass and variability amplitude in quasars. Roughly 100 quasars at z<0.75 were selected by matching objects from the QUEST1 Variability Survey with broad-lined objects…

Astrophysics · Physics 2009-11-13 M. Wold , M. S. Brotherton , Z. Shang

Black hole mass is a key factor in determining how a black hole interacts with its environment. However, the determination of black hole masses at high redshifts depends on secondary mass estimators, which are based on empirical…

Astrophysics of Galaxies · Physics 2016-03-23 Suk Yee Yong , Rachel L. Webster , Anthea L. King

We investigate the time-dependent variations of ultraviolet (UV) black hole mass estimates of quasars in the Sloan Digital Sky Survey (SDSS). From SDSS spectra of 615 high-redshift (1.69 < z < 4.75) quasars with spectra from two epochs, we…

Astrophysics · Physics 2009-06-23 B. C. Wilhite , R. J. Brunner , D. P. Schneider , D. E. Vanden Berk

Uncertainty quantification (UQ) is essential for safe deployment of generative AI models such as large language models (LLMs), especially in high stakes applications. Conformal prediction (CP) offers a principled uncertainty quantification…

Machine Learning · Computer Science 2025-06-09 Sima Noorani , Shayan Kiyani , George Pappas , Hamed Hassani

Recent work using virial mass estimates and the quasar mass-luminosity plane has yielded several new puzzles regarding quasar accretion, including a sub-Eddington boundary on most quasar accretion, near-independence of the accretion rate…

High Energy Astrophysical Phenomena · Physics 2015-05-27 Charles L. Steinhardt

Recent observations of the black hole (BH) - bulge scaling relations usually report positive redshift evolution, with higher redshift galaxies harboring more massive BHs than expected from the local relations. All of these studies focus on…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-13 Yue Shen , Brandon C. Kelly

In order to investigate the dependence of quasar optical-UV variability on fundamental physical parameters like black hole mass, we have matched quasars from the QUEST1 variability survey with broad-lined objects from the SDSS. Black hole…

Astrophysics · Physics 2007-09-19 M. Wold , M. S. Brotherton , Z. Shang

In order to investigate the dependence of quasar variability on fundamental physical parameters like black hole mass, we have matched quasars from the QUEST1 Variability Survey with broad-lined objects from the Sloan Digital Sky Survey. The…

Astrophysics · Physics 2008-11-26 M. Wold , M. S. Brotherton , Z. Shang

The determination of supermassive black hole (SMBH) masses is the key to understanding the host galaxy build-up and the SMBH mass assembly histories. The SMBH masses of non-local quasars are frequently estimated via the single-epoch virial…

High Energy Astrophysical Phenomena · Physics 2023-03-29 Mouyuan Sun

I review the current status of quasar black hole (BH) mass estimations. Spectroscopic methods have been developed to estimate BH mass in broad line quasars to an accuracy of ~0.5 dex. Despite their popularity, significant issues and…

Cosmology and Nongalactic Astrophysics · Physics 2013-02-13 Yue Shen

A new technique is presented for determining the black-hole masses of high-redshift quasars from optical spectroscopy. The new method utilizes the full-width half maximum (FWHM) of the low-ionization MgII emission line and the correlation…

Astrophysics · Physics 2008-11-26 R. J. McLure , M. J. Jarvis

We have selected a complete sample of flat-spectrum radio quasars (FSRQs) from the WMAP 7-yr catalog within the SDSS area, all with measured redshift, and have compared the black hole mass estimates based on fitting a standard accretion…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-17 Gianluca Castignani , Francesco Haardt , Andrea Lapi , Gianfranco De Zotti , Annalisa Celotti , Luigi Danese

We present an analysis of the fundamental plane of black hole accretion, an empirical correlation of the mass of a black hole ($M$), its 5 GHz radio continuum luminosity ($\nu L_{\nu}$), and its 2-10 keV X-ray power-law continuum luminosity…

High Energy Astrophysical Phenomena · Physics 2019-01-30 Kayhan Gültekin , Ashley L. King , Edward M. Cackett , Kristina Nyland , Jon M. Miller , Tiziana Di Matteo , Sera Markoff , Michael P. Rupen

In a recent work we demonstrated that a novel X-ray scaling method, originally introduced for Galactic black holes (GBHs), can be reliably extended to estimate the mass of supermassive black holes accreting at a moderate to high level. Here…

High Energy Astrophysical Phenomena · Physics 2015-06-19 I. Jang , M. Gliozzi , C. Hughes , L. Titarchuk

In inverse problems, distribution-free uncertainty quantification (UQ) aims to obtain error bars with coverage guarantees that are independent of any prior assumptions about the data distribution. In the context of mass mapping,…

Cosmology and Nongalactic Astrophysics · Physics 2025-02-26 Hubert Leterme , Jalal Fadili , Jean-Luc Starck

In large optical survey at high redshifts ($z>2$), the CIV broad emission line is the most practical alternative to estimate the mass ($M_{\text{BH}}$) of active super-massive black holes (SMBHs). However, mass determinations obtained with…

Astrophysics of Galaxies · Physics 2018-05-04 J. E. Mejía-Restrepo , B. Trakhtenbrot , P. Lira , H. Netzer
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