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We consider bandwidth matrix selection for kernel density estimators (KDEs) of density level sets in $\mathbb{R}^d$, $d \ge 2$. We also consider estimation of highest density regions, which differs from estimating level sets in that one…

Methodology · Statistics 2018-10-26 Charles R. Doss , Guangwei Weng

Online change detection involves monitoring a stream of data for changes in the statistical properties of incoming observations. A good change detector will detect any changes shortly after they occur, while raising few false alarms.…

Statistics Theory · Mathematics 2020-03-03 Thomas Flynn , Shinjae Yoo

Modal regression estimates the local modes of the distribution of $Y$ given $X=x$, instead of the mean, as in the usual regression sense, and can hence reveal important structure missed by usual regression methods. We study a simple…

Methodology · Statistics 2016-03-31 Yen-Chi Chen , Christopher R. Genovese , Ryan J. Tibshirani , Larry Wasserman

Based on telescopic observations of Jupiter-family comets (JFCs), there is predicted to be a paucity of objects at sub-kilometre sizes. However, several bright fireballs and some meteorites have been tenuously linked to the JFC population,…

Earth and Planetary Astrophysics · Physics 2020-10-07 P. M. Shober , T. Jansen-Sturgeon , P. A. Bland , H. A. R. Devillepoix , E. K. Sansom , M. C. Towner , M. Cupák , R. M. Howie , B. A. D. Hartig

We present a parameterized model of atmospheric particle showers initiated by cosmic rays. Few physics shower parameters are tuned in a comparison to the Conex generator. Resulting shower properties are studied, with a comment on the cases…

High Energy Astrophysical Phenomena · Physics 2025-12-22 Jiri Kvita

The DEEP-South photometric census of small Solar System bodies produces massive time-series data of variable, transient or moving objects as a by-product. To fully investigate unexplored variable phenomena, we present an application of…

Instrumentation and Methods for Astrophysics · Physics 2018-10-09 Seo-Won Chang , Yong-Ik Byun , Min-Su Shin , Hahn Yi , Myung-Jin Kim , Hong-Kyu Moon , Young-Jun Choi , Sang-Mok Cha , Yongseok Lee

We report on an eight year survey of simultaneous optical and radar meteor detections with the goal of isolating the fraction of meteors missed by specular radars. A total of 10,503 Electron Multiplied Charge Couple Device (EMCCD) meteors…

Earth and Planetary Astrophysics · Physics 2026-04-21 Margaret Campbell-Brown

As the third paper in a series regarding the estimation of luminosity functions (LFs) via kernel density estimation (KDE), we present a further generalization of our framework by extending its applicability to multiple flux-limited samples.…

Instrumentation and Methods for Astrophysics · Physics 2026-03-17 Zunli Yuan , Chuanqi Li , Wenjie Wang , Luozhenhan Liu

In the present work we carry out a study of the high energy cosmic rays mass identification capabilities of a hybrid detector employing both fluorescence telescopes and particle detectors at ground using simulated data. It involves the…

High Energy Astrophysical Phenomena · Physics 2015-06-12 S. Riggi , A. Parra , G. Rodriguez , I. Valino , R. Vazquez , E. Zas

When nonlinear measures are estimated from sampled temporal signals with finite-length, a radius parameter must be carefully selected to avoid a poor estimation. These measures are generally derived from the correlation integral which…

Methodology · Statistics 2024-01-09 Johan Medrano , Abderrahmane Kheddar , Annick Lesne , Sofiane Ramdani

This article presents a new tool for the automatic detection of meteors. Fast Meteor Detection Toolbox (FMDT) is able to detect meteor sightings by analyzing videos acquired by cameras onboard weather balloons or within airplane with…

Computer Vision and Pattern Recognition · Computer Science 2023-09-13 Clara Ciocan , Mathuran Kandeepan , Adrien Cassagne , Jeremie Vaubaillon , Fabian Zander , Lionel Lacassagne

We derive the divergence-kernel formula for the linear response of random dynamical systems. Specifically, the pathwise expression is for the parameter-derivative of the marginal or stationary density, not an averaged observable. Our…

Dynamical Systems · Mathematics 2025-12-30 Angxiu Ni

This paper addresses the deconvolution problem of estimating a square-integrable probability density from observations contaminated with additive measurement errors having a known density. The estimator begins with a density estimate of the…

Statistics Theory · Mathematics 2023-04-12 David Kent , David Ruppert

We introduce shower deconstruction, a method to look for new physics in a hadronic environment. The method aims to be a full information approach using small jets. It assigns to each event a number chi that is an estimate of the ratio of…

High Energy Physics - Phenomenology · Physics 2013-05-29 Davison E. Soper , Michael Spannowsky

Studies of the relationships between environmental exposures and adverse health outcomes often rely on a two-stage statistical modeling approach, where exposure is modeled/predicted in the first stage and used as input to a separately fit…

Methodology · Statistics 2022-04-01 Saskia Comess , Howard H. Chang , Joshua L. Warren

Density estimation is a central task in statistics and machine learning. This problem aims to determine the underlying probability density function that best aligns with an observed data set. Some of its applications include statistical…

The mass composition of high energy cosmic rays above $10^{17}$ eV is a crucial issue to solve some open questions in astrophysics such as the acceleration and propagation mechanisms. Unfortunately, the standard procedures to identify the…

Astrophysics · Physics 2008-11-26 F. Catalani , J. A. Chinellato , V. de Souza , J. Takahashi , G. M. S. Vasconcelos

In this paper we revisit the kernel density estimation problem: given a kernel $K(x, y)$ and a dataset of $n$ points in high dimensional Euclidean space, prepare a data structure that can quickly output, given a query $q$, a…

Data Structures and Algorithms · Computer Science 2020-11-16 Moses Charikar , Michael Kapralov , Navid Nouri , Paris Siminelakis

Diffusion models now set the benchmark in high-fidelity generative sampling, yet they can, in principle, be prone to memorization. In this case, their learned score overfits the finite dataset so that the reverse-time SDE samples are mostly…

Machine Learning · Computer Science 2025-05-30 Franck Gabriel , François Ged , Maria Han Veiga , Emmanuel Schertzer

Fireballs (bolides) are high-energy luminous phenomena produced when meteoroids and small asteroids enter Earth's atmosphere at hypersonic speeds, often resulting in fragmentation or complete disintegration accompanied by significant energy…

Earth and Planetary Astrophysics · Physics 2025-07-16 Elizabeth A. Silber , Vedant Sawal