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While the novel applications of weak values have recently attracted wide attention, weak measurement, the usual way to extract weak values, suffers from risky approximations and severe quantum noises. In this paper, we show that the…

Quantum Physics · Physics 2016-03-30 Yu-Xiang Zhang , Shengjun Wu , Zeng-Bing Chen

In data-driven determination of Parton Distribution Functions (PDFs) in global QCD analyses, uncovering the true underlying distributions is complicated by a highly convoluted inverse problem. The determination of PDFs can be understood as…

High Energy Physics - Phenomenology · Physics 2025-11-12 Aurore Courtoy , Arturo Ibsen

We present preliminary results on the determination of spin-dependent, or polarised, Parton Distribution Functions (PDFs) from all relevant inclusive polarised DIS data. The analysis is performed within the NNPDF approach, which provides a…

High Energy Physics - Phenomenology · Physics 2012-06-26 Emanuele R. Nocera , Stefano Forte , Giovanni Ridolfi , Juan Rojo

We report on a new framework to parametrize parton distribution functions (PDFs) and other hadronic nonperturbative functions using polynomial functions realized by B\'ezier curves. B\'ezier parameterizations produce a stable fit with a low…

High Energy Physics - Phenomenology · Physics 2023-09-06 Aurore Courtoy , Lucas Kotz , Pavel Nadolsky , Fred Olness , Maximiliano Ponce-Chavez , Varada Purohit

Multidimensional fitting (MDF) method is a multivariate data analysis method recently developed and based on the fitting of distances. Two matrices are available: one contains the coordinates of the points and the second contains the…

Parton distributions are an essential ingredient of the LHC program. PDFs are relevant for precision Standard Model measurements, for Higgs boson characterization as well as for New Physics searches. In this contribution I review recent…

High Energy Physics - Phenomenology · Physics 2013-05-16 Juan Rojo

We present a new method of estimating the dispersion of a distribution which is based on the surprising property of a function that measures information processing intensity. It turns out that this function has a maximum at its fixed point.…

Data Analysis, Statistics and Probability · Physics 2015-06-19 Rober Jankowski , Marcin Makowski , Edward W. Piotrowski

Stable distribution is one of the attractive models that well describes fat-tail behaviors and scaling phenomena in various scientific fields. The approach based upon the method of moments yields a simple procedure for estimating stable law…

Methodology · Statistics 2021-06-24 Shinji Kakinaka , Ken Umeno

Estimation of patient-specific model parameters is important for personalized modeling, although sparse and noisy clinical data can introduce significant uncertainty in the estimated parameter values. This importance source of uncertainty,…

Machine Learning · Statistics 2020-06-04 Jwala Dhamala , John L. Sapp , B. Milan Horácek , Linwei Wang

Data taken from observations of the natural world or laboratory measurements often depend on parameters which can vary in unexpected ways. In this paper we demonstrate how machine learning can be leveraged to detect changes in global…

Fluid Dynamics · Physics 2021-11-25 Logan M. Kageorge , Roman O. Grigoriev , Michael F. Schatz

The strong coupling constant is one of the fundamental parameters of the standard model of particle physics. In this review I will briefly summarise the theoretical framework, within which the strong coupling constant is defined and how it…

High Energy Physics - Experiment · Physics 2016-10-12 G. Dissertori

The work described in this paper can be interpreted as an application of the order patterns of symbolic dynamics when dealing with unimodal maps. Specifically, it is shown how Gray codes can be used to estimate the probability distribution…

Chaotic Dynamics · Physics 2015-05-13 David Arroyo , Gonzalo Alvarez , José María Amigó

Distance covariance is a widely used statistical methodology for testing the dependency between two groups of variables. Despite the appealing properties of consistency and superior testing power, the testing results of distance covariance…

Methodology · Statistics 2026-03-20 Andi Wang , Hao Yan , Juan Du

We introduce a method for calculating the probability density function (PDF) of a turbulent density field in three dimensions using only information contained in the projected two-dimensional column density field. We test the method by…

Astrophysics of Galaxies · Physics 2015-05-18 Christopher M. Brunt , Christoph Federrath , Daniel J. Price

Measurement system analysis aims to quantify the variability in data attributable to the measurement system and evaluate its contribution to overall data variability. This paper conducts a rigorous theoretical investigation of the…

Applications · Statistics 2025-01-31 Banafsheh Lashkari , Shojaeddin Chenouri

The coefficient of determination is well defined for linear models and its extension is long wanted for mixed-effects models. We revisit its extension to define measures for proportions of variation explained by the whole model, fixed…

Methodology · Statistics 2022-05-04 Dabao Zhang

Changepoint detection is commonly formulated by minimizing the sum of in-sample losses to quantify the model's overall fit. However, for flexible modeling procedures -- especially those involving high-dimensional parameter spaces or…

Methodology · Statistics 2026-05-05 Chengde Qian , Guanghui Wang , Zhaojun Wang , Changliang Zou

This thesis is devoted to the study of some aspects of perturbative QCD, and in particular to the development of high-precision techniques for the extraction of physical parameters such as structure functions, parton distributions, and the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Andrea Piccione

Computer models, aiming at simulating a complex real system, are often calibrated in the light of data to improve performance. Standard calibration methods assume that the optimal values of calibration parameters are invariant to the model…

Methodology · Statistics 2017-09-01 Georgios Karagiannis , Bledar A. Konomi , Guang Lin

Statistical hadronization models are extremly succesful in describing measured ratios of hadrons produced in heavy-ion collisions for a wide range of beam energies from SIS to RHIC. Using the idea of statistical hadronization at the phase…

High Energy Physics - Phenomenology · Physics 2016-09-06 Thorsten Renk
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