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Measurement error is a pervasive issue which renders the results of an analysis unreliable. The measurement error literature contains numerous correction techniques, which can be broadly divided into those which aim to produce exactly…

Methodology · Statistics 2021-11-08 Dylan Spicker , Michael P Wallace , Grace Y Yi

With the rapid development of computational techniques and scientific tools, great progress of data-driven analysis has been made to extract governing laws of dynamical systems from data. Despite the wide occurrences of non-Gaussian…

Dynamical Systems · Mathematics 2022-10-12 Yubin Lu , Yang Li , Jinqiao Duan

Several surfactant molecules self-assemble in solution to form long, flexible wormlike micelles which get entangled with each other, leading to viscoelastic gel phases. We discuss our recent work on the rheology of such a gel formed in the…

Soft Condensed Matter · Physics 2009-10-31 Ranjini Bandyopadhyay , A. K. Sood

Optical clock interrogation protocols, based on laser-pulse spectroscopy, are suffering from probe-induced frequency shifts and their variations induced by laser power. Original Hyper-Ramsey probing scheme, which was proposed to alleviate…

Atomic Physics · Physics 2017-08-16 T. Zanon-Willette , R. Lefevre , A. V. Taichenachev , V. I. Yudin

The real-time monitoring of the structural displacement of the Vacuum Vessel (VV) of thermonuclear fusion devices caused by electromagnetic (EM) loads is of great interest. In this paper, Model Order Reduction (MOR) is applied to the…

Numerical Analysis · Mathematics 2024-05-03 Francesco Lucchini , Alessandro Frescura , Riccardo Torchio , Piergiorgio Alotto , Paolo Bettini

Resonance based numerical schemes are those in which cancellations in the oscillatory components of the equation are taken advantage of in order to reduce the regularity required of the initial data to achieve a particular order of error…

Numerical Analysis · Mathematics 2024-02-14 Jacob Armstrong-Goodall , Yvain Bruned

This work introduces a novel approach for data-driven model reduction of time-dependent parametric partial differential equations. Using a multi-step procedure consisting of proper orthogonal decomposition, dynamic mode decomposition and…

Numerical Analysis · Mathematics 2022-11-23 Martin W. Hess , Annalisa Quaini , Gianluigi Rozza

The increase of discrepancy in the standard procedure to choose the arbitrary functional form of the Lagrangian $f(Q)$ motivates us to solve this issue in modified theories of gravity. In this regard, we investigate the Gaussian process…

General Relativity and Quantum Cosmology · Physics 2024-09-06 Gaurav N. Gadbail , Sanjay Mandal , P. K. Sahoo

Data-driven control approaches for the minimization of energy consumption of buildings have the potential to significantly reduce deployment costs and increase uptake of advanced control in this sector. A number of recent approaches based…

Systems and Control · Electrical Eng. & Systems 2023-03-23 Yingzhao Lian , Jicheng Shi , Manuel Koch , Colin Neil Jones

Chalcogenide phase change materials enable non-volatile, low-latency storage-class memory. They are also being explored for new forms of computing such as neuromorphic and in-memory computing. A key challenge, however, is the temporal drift…

Model-free data-driven computational mechanics replaces phenomenological constitutive functions by numerical simulations based on data sets of representative samples in stress-strain space. The distance of strain and stress pairs from the…

Computational Engineering, Finance, and Science · Computer Science 2021-11-29 Kerem Ciftci , Klaus Hackl

We consider specification and inference for the stochastic scale of discretely-observed pure-jump semimartingales with locally stable L\'{e}vy densities in the setting where both the time span of the data set increases, and the mesh of the…

Statistics Theory · Mathematics 2012-07-25 Viktor Todorov , George Tauchen

We present an easily reproducible, open-source, sound card based experimental set-up to support transfer function measurement. Our system is able to visualize signals of mechanical and electrical resonances and their spectra in real time.…

Physics Education · Physics 2015-06-17 Gergely Makan , Katalin Kopasz , Zoltán Gingl

This document reports on a method for detecting and preventing overfitting on data regressions, herein applied to mesh-like data structures. The mesh structure allows for the straightforward computation of the Laplace-operator second-order…

Machine Learning · Computer Science 2025-07-10 Enda D. V. Bigarella

We report new statistical time-series analysis tools providing significant improvements in the rapid, precision extraction of discrete state dynamics from large databases of experimental observations of molecular machines. By building…

Quantitative Methods · Quantitative Biology 2019-10-23 Max A. Little , Bradley C. Steel , Fan Bai , Yoshiyuki Sowa , Thomas Bilyard , David M. Mueller , Richard M. Berry , Nick S. Jones

We develop a Data-Driven framework for the simulation of wave propagation in viscoelastic solids directly from dynamic testing material data, including data from Dynamic Mechanical Analysis (DMA), nano-indentation, Dynamic Shear Testing…

Materials Science · Physics 2023-07-19 Hossein Salahshoor , Michael Ortiz

The structure of random sphere packings in mechanical equilibrium in prescribed stress states, as studied by molecular dynamics simulations, strongly depends on the assembling procedure. Frictionless packings in the limit of low pressure…

Disordered Systems and Neural Networks · Physics 2007-05-23 Jean-Noel Roux

The response of a cross-correlation measurement to an isotropic stochastic gravitational-wave background depends on the observing geometry via the overlap reduction function. If one of the detectors being correlated is a resonant bar whose…

General Relativity and Quantum Cosmology · Physics 2009-11-11 John T Whelan

Viscoelastic properties of polymer melts are particularly challenging to compute due to the intrinsic stress fluctuations in molecular dynamics (MD). We compared equilibrium and non-equilibrium MD approaches for extracting the storage (G')…

Soft Condensed Matter · Physics 2022-05-14 Oluseye Adeyemi , Shiping Zhu , Li Xi

Remote physiological measurement (RPM) has emerged as a promising non-invasive method for monitoring physiological signals using the non-contact device. Although various domain adaptation and generalization methods were proposed to promote…

Computer Vision and Pattern Recognition · Computer Science 2025-11-11 Xiao Yang , Jiyao Wang , Yuxuan Fan , Can Liu , Houcheng Su , Weichen Guo , Zitong Yu , Dengbo He , Kaishun Wu