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In this paper, we present a comprehensive analysis of the posterior covariance field in Gaussian processes, with applications to the posterior covariance matrix. The analysis is based on the Gaussian prior covariance but the approach also…

Machine Learning · Statistics 2025-04-03 Difeng Cai , Edmond Chow , Yuanzhe Xi

Development of ultra low background gas proportional counters has made the contribution from naturally occurring radioactive isotopes -- primarily $\alpha$ and $\beta$ activity in the uranium and thorium decay chains -- inconsequential to…

Instrumentation and Detectors · Physics 2015-12-24 Craig E. Aalseth , Paul H. Humble , Emily K. Mace , John L. Orrell , Allen Seifert , Richard M. Williams

Recently, shearlet systems were introduced as a means to derive efficient encoding methodologies for anisotropic features in 2-dimensional data with a unified treatment of the continuum and digital setting. However, only very few…

Functional Analysis · Mathematics 2010-02-16 P. Kittipoom , G. Kutyniok , W. Lim

The spherical proportional counter is a gaseous detector used in a variety of applications, including direct dark matter and neutrino-less double beta decay searches. The ACHINOS multianode structure is a read-out technology that overcomes…

Instrumentation and Detectors · Physics 2020-11-26 I. Giomataris , M. Gros , I. Katsioulas , P. Knights , J. -P. Mols , T. Neep , K. Nikolopoulos , G. Savvidis , I. Savvidis , L. Shang , R. Ward , Y. Zhou

Muon Tomography (MT) based on the measurement of multiple scattering of atmospheric cosmic ray muons traversing shipping containers is a promising candidate for identifying threatening high-Z materials. Since position-sensitive detectors…

Instrumentation and Detectors · Physics 2009-06-25 Marcus Hohlmann , Patrick Ford , Kondo Gnanvo , Jennifer Helsby , David Pena , Richard Hoch , Debasis Mitra

Detecting symmetry is crucial for effective object grasping for several reasons. Recognizing symmetrical features or axes within an object helps in developing efficient grasp strategies, as grasping along these axes typically results in a…

Robotics · Computer Science 2026-02-10 Omar Tahri

Unitary Fourier transform lies at the core of the multitudinous computational and metrological algorithms. Here we show experimentally how the unitary Fourier transform-based phase estimation protocol, used namely in quantum metrology, can…

In recent years, parametric representations of point clouds have been widely applied in tasks such as memory-efficient mapping and multi-robot collaboration. Highly adaptive models, like spline surfaces or quadrics, are computationally…

Computer Vision and Pattern Recognition · Computer Science 2025-09-19 Yuan Gao , Wei Dong

GEANT4 is a particle physics simulation tool used to develop and optimize radiation detectors. While C++ based examples exist, Python's growing popularity necessitates the development of a more accessible Python bindings interface. This…

High Energy Physics - Experiment · Physics 2024-12-10 Patrick Stowell , Robert Foster , Almahdi Elhamri

This paper provides a survey of spherical designs and their applications, with a particular emphasis on the perspective of ``numerical analysis''. A set \(X_N\) of \(N\) points on the unit sphere \(\mathbb{S}^d\) is called a…

Numerical Analysis · Mathematics 2026-01-21 Congpei An , Xiaosheng Zhuang

In this paper we simulate the emission by charged particles in complex structures with help of Geant4. We take into account Cherenkov radiation, transition radiation, bremsstrahlung, pair production and other accompanying processes. As an…

Accelerator Physics · Physics 2017-06-28 A. A. Savchenko , A. A. Tishchenko , S. B. Dabagov , A. Anastasi , G. Venanzoni , M. N. Strikhanov

We simulated the response of a 4p calorimetric g-detector array to decays of radioactive isotopes on the s-process path. The GEANT 3.21 simulation package was used. The main table contains estimates on the maximum sample size and required…

Nuclear Experiment · Physics 2009-10-01 A. Couture , R. Reifarth

A quantile sheet is a global estimator for multiple quantile curves. A quantile sheet estimator is proposed to maintain the non-crossing properties for different quantiles. The proposed estimator utilizes SCOP: shape-constrained P-spline to…

Methodology · Statistics 2023-03-13 Zhuolin Song

A model to describe the output particle distribution generated by particles impinging on a planar target has been developed. This model was developed to simulate positron production in the Cornell CESR Linac but can be applied to targets…

Accelerator Physics · Physics 2022-01-03 John Mastroberti , David Sagan , Jim Shanks

The NEWS-G direct detection experiment uses spherical proportional counters to search for light dark matter candidates. New results from a 10 day physics run with a $135\,\mathrm{cm}$ in diameter spherical proportional counter at the…

Simourg is a software based on the Geant4 toolkit and provides the Monte Carlo simulation of nuclear spectrometric setups with simple geometries for such applications as nuclear decay research, radiation safety, and nuclear medicine. With…

Instrumentation and Detectors · Physics 2026-01-07 D. S. Kovalenko , V. V. Kobychev , L. M. Kobycheva , O. V. Zueva

CMS has developed a fast detector simulation package, which serves as a fast and reliable alternative to the detailed GEANT4-based (full) simulation, and enables efficient simulation of large numbers of standard model and new physics…

Instrumentation and Detectors · Physics 2019-08-13 Sezen Sekmen

Gaussian processes models are widely adopted for nonparameteric/semi-parametric modeling. Identifiability issues occur when the mean model contains polynomials with unknown coefficients. Though resulting prediction is unaffected, this leads…

Methodology · Statistics 2016-11-02 Matthew Plumlee , V. Roshan Joseph

The information geometry of the 2-manifold of gamma probability density functions provides a framework in which pseudorandom number generators may be evaluated using a neighbourhood of the curve of exponential density functions. The process…

Computation · Statistics 2009-07-13 C. T. J. Dodson

Gaussian Process (GP) models are often used as mathematical approximations of computationally expensive experiments. Provided that its kernel is suitably chosen and that enough data is available to obtain a reasonable fit of the simulator,…

Machine Learning · Statistics 2011-03-22 Nicolas Durrande , David Ginsbourger , Olivier Roustant