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The dynamic range is an important parameter which measures the spread of sound power, and for music signals it is a measure of recording quality. There are various descriptive measures of sound power, none of which has strong statistical…

Applications · Statistics 2018-02-15 Pietro Coretto , Francesco Giordano

The quantitative phase image formation process is posed as a problem of parameter estimation from intensity measurements. This approach is inclusive of traditional pixel-oriented imaging, where the sought parameters are the pixel values.…

Classical Physics · Physics 2024-07-04 George Barbastathis

It is critical that the qualities and features of synthetically-generated, PMU measurements used for grid analysis matches those of measurements obtained from field-based PMUs. This ensures that analysis results generated by researchers…

Systems and Control · Electrical Eng. & Systems 2019-08-15 Ikponmwosa Idehen , Wonhyeok Jang , Thomas Overbye

We describe a statistical method to avoid biased estimation of the content of different particle species. We consider the case when the particle identification information strongly depends on some kinematical variables, whose distributions…

Data Analysis, Statistics and Probability · Physics 2011-06-16 Massimo Casarsa , Pierluigi Catastini , Giovanni Punzi , Luciano Ristori

To assist in the development of machine learning methods for automated classification of spectroscopic data, we have generated a universal synthetic dataset that can be used for model validation. This dataset contains artificial spectra…

Machine Learning · Computer Science 2022-06-15 Jan Schuetzke , Nathan J. Szymanski , Markus Reischl

We analyze the generation of polarization cross-talk in Stokes polarimeters by atmospheric seeing, and its effects on the noise statistics of spectropolarimetric measurements for both single-beam and dual-beam instruments. We investigate…

Instrumentation and Methods for Astrophysics · Physics 2015-05-28 Roberto Casini , Alfred G. de Wijn , Philip G. Judge

A comprehensive new approach is presented for deriving probability densities of physical properties characterizing lens or source that constitute an observed galactic microlensing event. While previously encountered problems are overcome,…

Astrophysics · Physics 2009-11-11 M. Dominik

When it is polarised, a cell develops an asymmetric distribution of specific molecular markers, cytoskeleton and cell membrane shape. Polarisation can occur spontaneously or be triggered by external signals, like gradients of signalling…

Analysis of PDEs · Mathematics 2013-01-18 Vincent Calvez , Nicolas Meunier , Nicolas Muller , Raphael Voituriez

When a laser beam passes through a rotating ground glass (RGG), the scattered light exhibits thermal statistics. This is extensively used in speckle imaging. This scattering process has not been addressed in photon picture and is especially…

Quantum Physics · Physics 2020-07-01 Sheng-Wen Li , Fu Li , Tao Peng , G. S. Agarwal

The speckle statistics of optical coherence tomography images of biological tissue have been studied using several historical probability density functions. A recent hypothesis implies that underlying power-law distributions in the medium…

Medical Physics · Physics 2021-02-01 Gary R. Ge , Jannick P. Rolland , Kevin J. Parker

Statistical data simulation is essential in the development of statistical models and methods as well as in their performance evaluation. To capture complex data structures, in particular for high-dimensional data, a variety of simulation…

Methodology · Statistics 2023-05-11 Nicholas Schreck , Alla Slynko , Maral Saadati , Axel Benner

Traditionally power distribution networks are either not observable or only partially observable. This complicates development and implementation of new smart grid technologies, such as those related to demand response, outage detection and…

Optimization and Control · Mathematics 2015-03-02 Deepjyoti Deka , Scott Backhaus , Michael Chertkov

We set up a discrete space-time dynamical model of molecules with thermalised kinetic energy and repulsive cores, in an external potential. The state is specified by a probability on the sample space. One time-step is given by a…

Mathematical Physics · Physics 2007-05-23 R. F. Streater

Numerical climate model simulations run at high spatial and temporal resolutions generate massive quantities of data. As our computing capabilities continue to increase, storing all of the data is not sustainable, and thus it is important…

Methodology · Statistics 2018-02-20 Joseph Guinness , Dorit Hammerling

Scene viewing is used to study attentional selection in complex but still controlled environments. One of the main observations on eye movements during scene viewing is the inhomogeneous distribution of fixation locations: While some parts…

Neurons and Cognition · Quantitative Biology 2018-11-14 Hans A. Trukenbrod , Simon Barthelmé , Felix A. Wichmann , Ralf Engbert

Advances in photonics require photon-number resolved simulations of quantum optical experiments with Gaussian states. We demonstrate a simple and versatile method to simulate the photon statistics of general multimode Gaussian states. The…

Quantum Physics · Physics 2023-03-06 Erik Fitzke , Florian Niederschuh , Thomas Walther

For a large class of statistical systems a geometric mean value of the observables is constrained. These observables are characterized by a power-law statistical distribution.

Statistical Mechanics · Physics 2007-05-23 A. Rostovtsev

Recent theories suggest that Neural Scaling Laws arise whenever the task is linearly decomposed into power-law distributed units. Alternatively, scaling laws also emerge when data exhibit a hierarchically compositional structure, as is…

Machine Learning · Statistics 2025-05-13 Francesco Cagnetta , Hyunmo Kang , Matthieu Wyart

We present a method for synthesizing naturally looking images of multiple people interacting in a specific scenario. These images benefit from the advantages of synthetic data: being fully controllable and fully annotated with any type of…

Computer Vision and Pattern Recognition · Computer Science 2020-06-04 Igor Kviatkovsky , Nadav Bhonker , Gerard Medioni

Image smear, produced by the shutter-less operation of frame transfer CCD detectors, can be detrimental for many imaging applications. Existing algorithms used to numerically remove smear, do not contemplate cases where intensity levels…

Instrumentation and Methods for Astrophysics · Physics 2016-04-06 Francisco A. Iglesias , Alex Feller , K. Nagaraju
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