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The aim of this work is to efficiently and robustly solve the statistical inverse problem related to the identification of the elastic properties at both macroscopic and mesoscopic scales of heterogeneous anisotropic materials with a…

Classical Physics · Physics 2020-06-29 Tianyu Zhang , Florent Pled , Christophe Desceliers

A new class of functions, called the `Information sensitivity functions' (ISFs), which quantify the information gain about the parameters through the measurements/observables of a dynamical system are presented. These functions can be…

Methodology · Statistics 2017-12-27 Sanjay Pant

We report on low temperature measurements performed on micro-electro-mechanical systems (MEMS) driven deeply into the non-linear regime. The materials are kept in their elastic domain, while the observed non-linearity is purely of…

Mesoscale and Nanoscale Physics · Physics 2015-06-18 Eddy Collin , Yuriy M. Bunkov , Henri Godfrin

A statistical model is said to be un-normalised when its likelihood function involves an intractable normalising constant. Two popular methods for parameter inference for these models are MC-MLE (Monte Carlo maximum likelihood estimation),…

Statistics Theory · Mathematics 2018-02-01 Lionel Riou-Durand , Nicolas Chopin

Understanding the physics of nonequilibrium systems remains as one of the major challenges of theoretical physics. This problem can be cracked in part by investigating the macroscopic fluctuations of the currents characterizing…

Statistical Mechanics · Physics 2014-03-18 Pablo I. Hurtado , Carlos P. Espigares , Jesus J. del Pozo , Pedro L. Garrido

The high cadence plasma, electric, and magnetic field measurements by the Magnetospheric MultiScale spacecraft allow us to explore the near-Earth space plasma with an unprecedented time and spatial resolution, resolving electron-scale…

We analyze the extreme value dependence of independent, not necessarily identically distributed multivariate regularly varying random vectors. More specifically, we propose estimators of the spectral measure locally at some time point and…

Statistics Theory · Mathematics 2023-06-05 Holger Drees

We show an analysis of multi-dimensional time series via entropy and statistical linguistic techniques. We define three markers encoding the behavior of the series, after it has been translated into a multi-dimensional symbolic sequence.…

Multimedia · Computer Science 2008-03-05 Marco Franciosi , Giulia Menconi

We review with a tutorial scope the information theory foundations of quantum statistical physics. Only a small proportion of the variables that characterize a system at the microscopic scale can be controlled, for both practical and…

Statistical Mechanics · Physics 2007-05-23 R. Balian

The time structure of more than 10 years of hourly wind data measured in one site in northern Italy from April 1996 to December 2007 is analysed. The data are recorded by the Sodar Rass system, which measures the speed and the direction of…

Statistical Mechanics · Physics 2015-05-27 Luciano Telesca , Michele Lovallo

Selection, mutation and random drift affect the dynamics of allele frequencies and consequently of quantitative traits. While the macroscopic dynamics of quantitative traits can be measured, the underlying allele frequencies are typically…

Populations and Evolution · Quantitative Biology 2016-03-15 Katarína Boďová , Gašper Tkačik , Nicholas H. Barton

Information from frequency bands in biomedical time series provides useful summaries of the observed signal. Many existing methods consider summaries of the time series obtained over a few well-known, pre-defined frequency bands of…

Methodology · Statistics 2023-01-11 Raanju R. Sundararajan , Scott A. Bruce

Optical fiber links are known as the most performing tools to transfer ultrastable frequency reference signals. However, these signals are affected by phase noise up to bandwidths of several kilohertz and a careful data processing strategy…

Instrumentation and Detectors · Physics 2015-12-15 Claudio E. Calosso , Cecilia Clivati , Salvatore Micalizio

Entropy measures have become increasingly popular as an evaluation metric for complexity in the analysis of time series data, especially in physiology and medicine. Entropy measures the rate of information gain, or degree of regularity in a…

Methodology · Statistics 2015-12-03 Chee Chun Gan , Gerard Learmonth

To explore the hypothesis of a common source of variability in two time series, observers may estimate the magnitude-squared coherence (MSC), which is a frequency-domain view of the cross correlation. For time series that do not have…

Solar and Stellar Astrophysics · Physics 2025-05-13 Sarah E. Dodson-Robinson , Charlotte Haley

This paper considers inference for conditional moment inequality models using a multiscale statistic. We derive the asymptotic distribution of this test statistic and use the result to propose feasible critical values that have a simple…

Applications · Statistics 2015-12-10 Timothy B. Armstrong , Hock Peng Chan

A higher-order multiscale analysis of spatial anisotropy in inertial range magnetohydrodynamic turbulence is presented using measurements from the STEREO spacecraft in fast ambient solar wind. We show for the first time that, when measuring…

Space Physics · Physics 2014-03-05 K. T. Osman , K. H. Kiyani , S. C. Chapman , B. Hnat

A variety of algorithms have been proposed to address the power system state estimation problem in the presence of uncertainties in the data. However, less emphasis has been given to handling perturbations in the model. In the context of…

Systems and Control · Electrical Eng. & Systems 2025-10-21 Ayan Das , Anushka Sharma , Anamitra Pal

The estimation of the parameters of a dynamic signal, such as a sine wave, based on quantized data is customarily performed using the least-square estimator (LSE), such as the sine fit. However, the characteristics of the experiments and…

Signal Processing · Electrical Eng. & Systems 2018-04-30 Paolo Carbone , Johan Schuokens , Antonio Moschitta

Considering the variability of amplitude and phase patterns in electrocardiogram (ECG) signals due to cardiac activity and individual differences, existing entropy-based studies have not fully utilized these two patterns and lack…

Signal Processing · Electrical Eng. & Systems 2024-04-16 Shuaicong Hu , Yanan Wang , Jian Liu , Jingyu Lin , Shengmei Qin , Zhenning Nie , Zhifeng Yao , Wenjie Cai , Cuiwei Yang
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