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We present a new methodology to discriminate between light and heavy ultra-high energy cosmic-ray primaries on an event-by-event basis using information from the radio detection of extensive air showers at MHz frequencies. Similarly to…

High Energy Astrophysical Phenomena · Physics 2019-03-18 Washington R. Carvalho , Jaime Alvarez-Muñiz

Shear peak statistics has gained a lot of attention recently as a practical alternative to the two point statistics for constraining cosmological parameters. We perform a shear peak statistics analysis of the Dark Energy Survey (DES)…

Meteorites with known orbital origins are key to our understanding of Solar System formation and the source of life on Earth. However, these pristine samples of space material are incredibly rare. Less than 40 of the 60,000 meteorites held…

Fireball observations from camera networks provide position and time information along the trajectory of a meteoroid that is transiting our atmosphere. The complete dynamical state of the meteoroid at each measured time can be estimated…

Earth and Planetary Astrophysics · Physics 2017-11-07 Eleanor K. Sansom , Mark G. Rutten , Phillip A. Bland

In this paper, we outline the use of Mixture Models in density estimation of large astronomical databases. This method of density estimation has been known in Statistics for some time but has not been implemented because of the large…

Astrophysics · Physics 2007-05-23 A. J. Connolly , C. Genovese , A. W. Moore , R. C. Nichol , J. Schneider , L. Wasserman

Photometric measurements allow the determination of an asteroid's absolute magnitude, which often represents the sole means to infer its size. Photometric observations can be obtained in a variety of filters that can be unique to a specific…

Earth and Planetary Astrophysics · Physics 2024-11-12 Tobias Hoffmann , Marco Micheli , Juan Luis Cano , Maxime Devogèle , Davide Farnocchia , Petr Pravec , Peter Vereš , Björn Poppe

The total energy of a fireball is commonly obtained from optical measurements with an assumed value for luminous efficiency. Acoustic energy measurements offer an independent means of energy estimation. Here we combine optical and acoustic…

Earth and Planetary Astrophysics · Physics 2024-08-09 Luke McFadden , Peter Brown , Denis Vida

This paper presents a simple but effective density-based outlier detection approach with the local kernel density estimation (KDE). A Relative Density-based Outlier Score (RDOS) is introduced to measure the local outlierness of objects, in…

Artificial Intelligence · Computer Science 2016-06-29 Bo Tang , Haibo He

The estimation of probability density functions is a fundamental problem in science and engineering. However, common methods such as kernel density estimation (KDE) have been demonstrated to lack robustness, while more complex methods have…

Machine Learning · Computer Science 2025-06-30 Anna Mészáros , Julian F. Schumann , Javier Alonso-Mora , Arkady Zgonnikov , Jens Kober

Learning probabilistic models that can estimate the density of a given set of samples, and generate samples from that density, is one of the fundamental challenges in unsupervised machine learning. We introduce a new generative model based…

Machine Learning · Computer Science 2020-06-11 Siavash A. Bigdeli , Geng Lin , Tiziano Portenier , L. Andrea Dunbar , Matthias Zwicker

We present a new analytical approach to the longitudinal development of electromagnetic air showers, offering improvements to the classical Greisen formalism. We introduce a novel profile for the slope function $\lambda_1(s)$ that achieves…

High Energy Astrophysical Phenomena · Physics 2025-04-21 Sebastián Mendizabal , Nicolás Viaux M. , Sebastián Tapia , Raquel Pezoa R. , Barbara Gutiérrez , Constanza Valdivieso

Although the risk posed to spacecraft due to meteoroid impacts is dominated by sporadic meteoroids, meteor showers can raise this risk for short periods of time. NASA's Meteoroid Environment Office issues meteor shower forecasts that…

Earth and Planetary Astrophysics · Physics 2024-08-09 Althea V. Moorhead , William J. Cooke , Peter G. Brown , Margaret D. Campbell-Brown

Ordinary differential equation (ODE) is widely used in modeling biological and physical processes in science. In this article, we propose a new reproducing kernel-based approach for estimation and inference of ODE given noisy observations.…

Methodology · Statistics 2021-10-26 Xiaowu Dai , Lexin Li

It is common, in deconvolution problems, to assume that the measurement errors are identically distributed. In many real-life applications, however, this condition is not satisfied and the deconvolution estimators developed for…

Statistics Theory · Mathematics 2008-12-18 Aurore Delaigle , Alexander Meister

We present a novel approach to anomaly detection by integrating Generalized Hyperbolic (GH) processes into kernel-based methods. The GH distribution, known for its flexibility in modeling skewness, heavy tails, and kurtosis, helps to…

Machine Learning · Computer Science 2025-01-28 Pauline Bourigault , Danilo P. Mandic

Meteor showers and their outbursts are the dominant source of meteoroid impact risk to spacecraft on short time scales. Meteor shower prediction models depend on historical observations to produce accurate forecasts. However, the current…

Earth and Planetary Astrophysics · Physics 2022-07-06 Denis Vida , Rhiannon C. Blaauw Erskine , Peter G. Brown , Jonathon Kambulow , Margaret Campbell-Brown , Michael J. Mazur

We describe an improved technique for using the backscattered phase from meteor radar echo measurements just prior to the specular point ($t_{0}$) to calculate meteor speeds and their uncertainty. Our method, which builds on earlier work of…

Earth and Planetary Astrophysics · Physics 2020-12-02 Michael Mazur , Petr Pokorny , Peter Brown , Robert J. Weryk , Denis Vida , Carsten Schult , Gunter Stober , Anamika Agrawal

We investigate photon--pion discrimination in regimes where electromagnetic showers overlap at the scale of calorimeter granularity. Using full detector simulations with fine-grained calorimeter segmentation of approximately…

High Energy Physics - Experiment · Physics 2026-02-06 Yuval Frid , Liron Barak

Most general-purpose classification methods, such as support-vector machine (SVM) and random forest (RF), fail to account for an unusual characteristic of astronomical data: known measurement error uncertainties. In astronomical data, this…

Instrumentation and Methods for Astrophysics · Physics 2022-06-17 Sarah Shy , Hyungsuk Tak , Eric D. Feigelson , John D. Timlin , G. Jogesh Babu

This tutorial provides a gentle introduction to kernel density estimation (KDE) and recent advances regarding confidence bands and geometric/topological features. We begin with a discussion of basic properties of KDE: the convergence rate…

Methodology · Statistics 2017-09-13 Yen-Chi Chen
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