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\textbf{Purpose:} Amplitude analysis is a pivotal tool in hadron spectroscopy, fundamentally involving a series of likelihood fits to multi-dimensional experimental distributions. While robust goodness-of-fit tests exist for low-dimensional…

Data Analysis, Statistics and Probability · Physics 2025-12-02 Huoyi Hou , Beijiang Liu

Analyticity constitutes a rigid constraint on hadron scattering amplitudes. This property is used to relate models in different energy regimes. Using meson photoproduction as a benchmark, we show how to test contemporary low energy models…

High Energy Physics - Phenomenology · Physics 2017-08-28 JPAC Collaboration , V. Mathieu , J. Nys , A. Pilloni , C. Fernández-Ramírez , A. Jackura , M. Mikhasenko , V. Pauk , A. P. Szczepaniak , G. Fox

Density estimation is an interdisciplinary topic at the intersection of statistics, theoretical computer science and machine learning. We review some old and new techniques for bounding the sample complexity of estimating densities of…

Statistics Theory · Mathematics 2018-02-23 Hassan Ashtiani , Abbas Mehrabian

Kernel density estimation is a convenient way to estimate the probability density of a distribution given the sample of data points. However, it has certain drawbacks: proper description of the density using narrow kernels needs large data…

Data Analysis, Statistics and Probability · Physics 2015-02-27 Anton Poluektov

Amplitude demodulation is a classical operation used in signal processing. For a long time, its effective applications in practice have been limited to narrowband signals. In this work, we generalize amplitude demodulation to wideband…

Signal Processing · Electrical Eng. & Systems 2021-06-16 Mantas Gabrielaitis

We develop Bayesian models for density regression with emphasis on discrete outcomes. The problem of density regression is approached by considering methods for multivariate density estimation of mixed scale variables, and obtaining…

Methodology · Statistics 2019-08-14 Georgios Papageorgiou

The intensity statistics of signals in the presence of Gaussian noise is obtained by studying the model of a random signal plus a random phasor sum. The additive Gaussian noise is shown to result in a Bessel transform of the probability…

Disordered Systems and Neural Networks · Physics 2015-05-13 A. A. Chabanov

Partial wave analysis is a key technique in hadron spectroscopy. The use of unbinned likelihood fits on large statistics data samples and ever more complex physics models makes this analysis technique computationally very expensive.…

Data Analysis, Statistics and Probability · Physics 2011-08-31 Niklaus Berger

Ultra-fast, precise, and controlled amplitude surrogates are essential for future LHC event generation. First, we investigate the noise reduction and biases of network ensembles and outline a new method to learn well-calibrated systematic…

High Energy Physics - Phenomenology · Physics 2026-04-09 Henning Bahl , Nina Elmer , Tilman Plehn , Ramon Winterhalder

We highlight the need for the development of comprehensive amplitude analysis methods to further our understanding of hadron spectroscopy. Reaction amplitudes constrained by first principles of $S$-matrix theory and by QCD phenomenology are…

Even if a `complete set' of experimental observables were measured for the elastic scattering or photo/electroproduction of pseudoscalar mesons, ambiguities would remain in the extracted partial-wave and isospin decomposed amplitudes. As…

Nuclear Theory · Physics 2011-04-15 Ron Workman

We point out the need to use probability amplitudes rather than probabilities to model evidence accumulation in decision processes involving real physical sensors. Optical information processing systems are given as typical examples of…

Artificial Intelligence · Computer Science 2013-04-05 A. J. Hanson

The noise of a device under test (DUT) is measured simultaneously with two instruments, each of which contributes its own background. The average cross power spectral density converges to the DUT power spectral density. This method enables…

Instrumentation and Detectors · Physics 2010-03-02 Enrico Rubiola , Francois Vernotte

This work presents a method for estimation of the acoustic intensity, the energy density and the associated sound field diffuseness around the origin, when the sound field is weighted with a spatial filter. The method permits energetic DOA…

Sound · Computer Science 2016-09-14 Archontis Politis , Ville Pulkki

Accurate assessment of systematic uncertainties is an increasingly vital task in physics studies, where large, high-dimensional datasets, like those collected at the Large Hadron Collider, hold the key to new discoveries. Common approaches…

Methodology · Statistics 2025-10-02 Alexis Romero , Kyle Cranmer , Daniel Whiteson

The physics of heavy quarks becomes a very reach area of study thanks to an excellent operation of hadron colliders and $B$-factories and exciting results from them. Experimental data obtained allows to get some information about the heavy…

High Energy Physics - Phenomenology · Physics 2017-12-27 Alexander Ya. Parkhomenko

We consider a model applicable in many communication systems where the sum of n stochastic sinusoidal signals of the same frequency, but with random amplitudes as well as phase angles is present. The exact probability distribution of the…

Information Theory · Computer Science 2019-11-13 Y. Maghsoodi , A. Al-Dweik

Background properties in experimental particle physics are typically estimated using control samples corresponding to large numbers of events. This can provide precise knowledge of average background distributions, but typically does not…

Data Analysis, Statistics and Probability · Physics 2015-03-17 Federico Colecchia

The determination of magnitudes of basic parameters of the high energy elastic scattering amplitude are examined at small momentum transfers with taking account of the Coulomb-hadron interference effects.

High Energy Physics - Phenomenology · Physics 2009-11-07 S. B. Nurushev , O. V. Selyugin , M. N. Strikhanov

In numerous applications data are observed at random times and an estimated graph of the spectral density may be relevant for characterizing and explaining phenomena. By using a wavelet analysis, one derives a nonparametric estimator of the…

Statistics Theory · Mathematics 2009-11-27 Jean-Marc Bardet , Pierre Bertrand
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