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Powder X-ray Diffraction (PXRD) and Pair Distribution Function (PDF) analysis are well-established techniques for investigation of atomic configurations in crystalline materials, and the two are related by a Fourier transformation. In PXRD…

Materials Science · Physics 2021-06-17 Jonas Beyer , Nikolaj Roth , Bo Brummerstedt Iversen

Traditional defect prediction approaches often use metrics that measure the complexity of the design or implementing code of a software system, such as the number of lines of code in a source file. In this paper, we explore a different…

Software Engineering · Computer Science 2024-09-30 Hung Viet Pham , Tung Thanh Nguyen

We consider the distribution of the sum and the maximum of a collection of independent exponentially distributed random variables. The focus is laid on the explicit form of the density functions (pdf) of non-i.i.d. sequences. Those are…

Probability · Mathematics 2013-07-16 Markus Bibinger

Under ideal conditions, the probability density function (PDF) of a random variable, such as a sensor measurement, would be well known and amenable to computation and communication tasks. However, this is often not the case, so the user…

Statistics Theory · Mathematics 2022-07-29 Shane Lubold , Clark N. Taylor

A contribution is presented to the study of hadron spectroscopy through the use of fractals and discrete scale invariance implying log-periodic corrections to continuous scaling. The masses of mesons and baryons, reported by the Particle…

General Physics · Physics 2011-05-11 Boris Tatischeff

Fusing probabilistic information is a fundamental task in signal and data processing with relevance to many fields of technology and science. In this work, we investigate the fusion of multiple probability density functions (pdfs) of a…

Signal Processing · Electrical Eng. & Systems 2023-01-20 Günther Koliander , Yousef El-Laham , Petar M. Djurić , Franz Hlawatsch

We present a new software package designed to reduce the computational burden of hadron collider measurements in Parton Distribution Function (PDF) fits. The APFELgrid package converts interpolated weight tables provided by APPLgrid files…

High Energy Physics - Phenomenology · Physics 2017-01-04 Valerio Bertone , Stefano Carrazza , Nathan P. Hartland

Learning the parameters of a (potentially partially observable) random field model is intractable in general. Instead of focussing on a single optimal parameter value we propose to treat parameters as dynamical quantities. We introduce an…

Machine Learning · Computer Science 2012-05-14 Max Welling

We evaluate the drag and diffusion coefficients of a hot hadronic medium consisting of pions, nucleons, kaons and eta using open charm mesons as a probe. The interaction of the probe with the hadronic matter has been treated in the…

Nuclear Theory · Physics 2015-03-19 Sabyasachi Ghosh , Santosh K Das , Sourav Sarkar , Jan-e Alam

We discuss some formal and fundamental aspects related with the replacement of integral dispersion relations by derivative forms, and their practical uses in high energy elastic hadron scattering, in particular $pp$ and $\bar{p}p$…

High Energy Physics - Phenomenology · Physics 2009-11-10 R. F. Avila , M. J. Menon

We implement a well-established concept to consider dispersion effects within a Poisson-Boltzmann approach of continuum solvation of proteins. The theoretical framework is particularly suited for boundary element methods. Free parameters…

Biological Physics · Physics 2007-11-28 Parimal Kar , Max Seel , Ulrich H. E. Hansmann , Siegfried Hoefinger

In this letter, we describe a very general procedure to obtain a causal fit of the permittivity of materials from experimental data with very few parameters. Unlike other closed forms proposed in the literature, the particularity of this…

I review the extraction of kinetic and chemical freeze-out parameters from experimental data, with particular emphasis on the underlying assumptions and the validity of the conclusions.

Nuclear Theory · Physics 2009-11-07 Dirk H. Rischke

We present an investigation of the theoretical uncertainties in parton distribution functions (PDFs) due to missing higher-order corrections in the perturbative predictions used in the fit, and their relationship to the uncertainties in…

High Energy Physics - Phenomenology · Physics 2019-05-02 L. A. Harland-Lang , R. S. Thorne

We explicitly demonstrate how to correctly define the hadronic parton distributions (PDFs, TMDs, and GPDs) in the soft-wall AdS/QCD approach, based on the use of a quadratic dilaton field, providing confinement and spontaneous breaking of…

High Energy Physics - Phenomenology · Physics 2020-08-12 Valery E. Lyubovitskij , Ivan Schmidt

In this paper, we explore how different selections of basis functions impact the efficacy of frequency domain techniques in statistical independence tests, and study different algorithms for extracting low-dimensional algebraic relations…

Numerical Analysis · Mathematics 2025-12-02 Juan Shi , Wenbo Wang , Wan Zhang , Han Bao , Sergio Chavez , Jingfang Huang , Yichao Wu , Kai Zhang

We consider mixture models where location parameters are a priori encouraged to be well separated. We explore a class of determinantal point process (DPP) mixture models, which provide the desired notion of separation or repulsion. Instead…

Methodology · Statistics 2017-05-16 Ilaria Bianchini , Alessandra Guglielmi , Fernando A. Quintana

The strong coupling constant $\alpha_s$ and the heavy-quark masses, $m_c$, $m_b$, $m_t$ are extracted simultaneosly with the parton distribution functions (PDFs) in the updated ABM12 fit including recent data from CERN-SPS, HERA, Tevatron,…

High Energy Physics - Phenomenology · Physics 2016-10-11 S. Alekhin , J. Bluemlein , S. Moch , R. Placakyte

Measuring dependence between random variables is a fundamental problem in Statistics, with applications across diverse fields. While classical measures such as Pearson's correlation have been widely used for over a century, they have…

Statistics Theory · Mathematics 2025-10-08 Marta Catalano , Hugo Lavenant

We propose a method to measure the hadronic matter compressibility by means of the event-by-event analysis of heavy-ion collisions at high energies. The method, which utilizes the thermodynamical relation between the compressibility and the…

Nuclear Theory · Physics 2009-10-30 Stanislaw Mrowczynski