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We present a comprehensive study to measure the locations of gamma-ray bursts (GRBs) relative to their host galaxies. In total, we find the offsets of 20 long-duration GRBs from their apparent host galaxy centers utilizing ground-based…

Astrophysics · Physics 2009-10-31 J. S. Bloom , S. R. Kulkarni , S. G. Djorgovski

Theory suggests that about 10% of Swift-detected gamma-ray bursts (GRBs) will originate at redshifts greater than 5 yet a number of high redshift candidates may be left unconfirmed due to the lack of measured redshifts. Here we introduce…

We developed a code that estimates distances to stars using measured spectroscopic and photometric quantities. We employ a Bayesian approach to build the probability distribution function over stellar evolutionary models given these data,…

Bayesian posterior distributions are widely used for inference, but their dependence on a statistical model creates some challenges. In particular, there may be lots of nuisance parameters that require prior distributions and posterior…

Statistics Theory · Mathematics 2023-04-12 Nicholas Syring , Ryan Martin

Motivated by the analysis of the distribution of university grades, which is usually asymmetric, we discuss two informative priors for the shape parameter of the skew-normal distribution, showing that they lead to closed-form…

Methodology · Statistics 2013-05-15 Antonio Canale , Bruno Scarpa

Distribution shifts are ubiquitous in real-world machine learning applications, posing a challenge to the generalization of models trained on one data distribution to another. We focus on scenarios where data distributions vary across…

Machine Learning · Statistics 2024-06-05 Steven Wilkins-Reeves , Xu Chen , Qi Ma , Christine Agarwal , Aude Hofleitner

In urban environments, where line-of-sight signals from GNSS satellites are frequently blocked by high-rise objects, GNSS receivers are subject to large errors in measuring satellite ranges. Heuristic methods are commonly used to estimate…

Machine Learning · Computer Science 2024-03-01 Amir Jalalirad , Davide Belli , Bence Major , Songwon Jee , Himanshu Shah , Will Morrison

We present a catalog of the redshift estimates and probability distributions for 1366 individual Long-duration Gamma-Ray Bursts (LGRBs) detected by the Burst And Transient Source Experiment (BATSE). This result is based on a careful…

High Energy Astrophysical Phenomena · Physics 2019-03-19 Amir Shahmoradi , Robert J. Nemiroff

Neural posterior estimation (NPE) and neural likelihood estimation (NLE) are machine learning approaches that provide accurate posterior, and likelihood, approximations in complex modeling scenarios, and in situations where conducting…

Machine Learning · Statistics 2024-11-20 David T. Frazier , Ryan Kelly , Christopher Drovandi , David J. Warne

Bayesian nonparametric mixtures and random partition models are powerful tools for probabilistic clustering. However, standard independent mixture models can be restrictive in some applications such as inference on cell lineage due to the…

Methodology · Statistics 2025-07-15 Giovanni Rebaudo , Peter Mueller

Neural networks trained with standard objectives exhibit behaviors characteristic of probabilistic inference: soft clustering, prototype specialization, and Bayesian uncertainty tracking. These phenomena appear across architectures -- in…

Machine Learning · Computer Science 2026-01-01 Alan Oursland

Gamma-Ray bursts (GRBs) have been traditionally classified based on their duration. The increasing number of extended emission (EE) GRBs, lasting typically more than 2 seconds but with properties similar to those of a short GRBs, challenges…

High Energy Astrophysical Phenomena · Physics 2023-07-05 K. Garcia-Cifuentes , R. L. Becerra , F. De Colle , J. I. Cabrera , C. del Burgo

Gaussian belief propagation (GaBP) is a technique that relies on linearized error and input-output models to yield low-complexity solutions to complex estimation problems, which has been recently shown to be effective in the design of…

Signal Processing · Electrical Eng. & Systems 2026-02-05 Niclas Führling , Hyeon Seok Rou , Giuseppe Abreu , David González G. , Osvaldo Gonsa

Cluster analysis is a widely applied machine learning technique to understand the existing patterns in the population of gamma-ray bursts (GRBs), in order to explore their physical sources. In the present scenario, the number of clusters…

High Energy Astrophysical Phenomena · Physics 2026-05-29 Soumita Modak

We propose a method to overcome the usual limitation of current data processing techniques in optical and infrared long-baseline interferometry: most reduction pipelines assume uncorrelated statistical errors and ignore systematics. We use…

Instrumentation and Methods for Astrophysics · Physics 2019-01-23 Régis Lachaume , Markus Rabus , Andrés Jordán , Rafael Brahm , Tabetha Boyajian , Kaspar von Braun , Jean-Philippe Berger

Route-level travel time reliability requires characterizing the distribution of total travel time across correlated segments -- a problem where existing methods either assume independence (fast but miscalibrated) or model dependence via…

Applications · Statistics 2026-02-10 Vadim Sokolov , Refik Soyer

In this communication, we introduce a new statistical model and study its various mathematical properties. The expressions for hazard rate, reversed hazard rate, and odd functions are provided. We explore the asymptotic behaviors of the…

Methodology · Statistics 2023-04-24 Tuhin Subhra Mahatao , Subhankar Dutta , Suchandan Kayal

GNSS localization is an important part of today's autonomous systems, although it suffers from non-Gaussian errors caused by non-line-of-sight effects. Recent methods are able to mitigate these effects by including the corresponding…

Robotics · Computer Science 2020-03-20 Tim Pfeifer , Peter Protzel

Two classes of GRBs have been identified thus far without doubt and are prescribed to different physical scenarios -- NS-NS or NS-BH mergers, and collapse of massive stars, for short and long GRBs, respectively. The existence of two…

High Energy Astrophysical Phenomena · Physics 2015-08-19 Mariusz Tarnopolski

Inter-symbol interference (ISI) channels with data dependent Gauss Markov noise have been used to model read channels in magnetic recording and other data storage systems. The Viterbi algorithm can be adapted for performing maximum…

Information Theory · Computer Science 2010-06-28 Naveen Kumar , Aditya Ramamoorthy , Murti Salapaka