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Functional data are ubiquitous in scientific modeling. For instance, quantities of interest are modeled as functions of time, space, energy, density, etc. Uncertainty quantification methods for computer models with functional response have…

Methodology · Statistics 2024-09-25 Devin Francom , J. Derek Tucker , Gabriel Huerta , Kurtis Shuler , Daniel Ries

The dynamical behavior of a kind of models with hierarchically constrained dynamics is investigated. The models exhibit many properties resembling real structural glasses. In particular, we focus on the study of time-dependent temperature…

Statistical Mechanics · Physics 2009-11-07 A. Prados , J. J. Brey

Due to their unique optical and electronic functionalities, chalcogenide glasses are materials of choice for numerous microelectronic and photonic devices. However, to extend the range of compositions and applications, profound knowledge…

Hybrid Energy Systems (HES), amalgamating renewable sources, energy storage, and conventional generation, have emerged as a responsive resource for providing valuable grid services. Subsequently, modeling and analysis of HES has become…

Optimization and Control · Mathematics 2024-03-19 Tanmay Mishra , Amritanshu Pandey , Mads R. Almassalkhi

A reliable representation of uncertainty is essential for the application of modern machine learning methods in safety-critical settings. In this regard, the use of credal sets (i.e., convex sets of probability distributions) has recently…

Machine Learning · Computer Science 2026-03-10 Paul Hofman , Timo Löhr , Maximilian Muschalik , Yusuf Sale , Eyke Hüllermeier

We investigate the predictive abilities of the heterogeneous autoregressive (HAR) model compared to machine learning (ML) techniques across an unprecedented dataset of 1,455 stocks. Our analysis focuses on the role of fitting schemes,…

Statistical Finance · Quantitative Finance 2024-06-13 Francesco Audrino , Jonathan Chassot

Numerical weather forecasts can exhibit systematic errors due to simplifying model assumptions and computational approximations. Statistical postprocessing is a statistical approach to correcting such biases. A statistical postprocessing…

Methodology · Statistics 2022-09-02 Stefan Siegert , Ben Hooper , Joshua Lovegrove , Tyler Thomson , Birgir Hrafnkelsson

We study the correlation and response dynamics of trap models of glassy dynamics, considering observables that only partially decorrelate with every jump. This is inspired by recent work on a microscopic realization of such models, which…

Statistical Mechanics · Physics 2013-09-03 Peter Sollich

In this note we apply some theoretical predictions that arise in the mean field framework for a large class of infinite range models to structural glasses and we present a first comparison of these predictions with numerical results.

Disordered Systems and Neural Networks · Physics 2009-10-30 Barbara Coluzzi , Giorgio Parisi

Here we introduce a variation of the trap model of glasses based on softness, a local structural variable identified by machine learning, in supercooled liquids. Softness is a particle-based quantity that reflects the local structural…

Soft Condensed Matter · Physics 2024-03-29 Sean A. Ridout , Indrajit Tah , Andrea J. Liu

Computer model calibration involves using partial and imperfect observations of the real world to learn which values of a model's input parameters lead to outputs that are consistent with real-world observations. When calibrating models…

Methodology · Statistics 2023-10-31 Wenzhe Xu , Daniel B. Williamson , Frederic Hourdin , Romain Roehrig

Standard methods in computer model calibration treat the calibration parameters as constant throughout the domain of control inputs. In many applications, systematic variation may cause the best values for the calibration parameters to…

Methodology · Statistics 2017-02-09 D. Andrew Brown , Sez Atamturktur

Performances of an adaptive optics (AO) system are directly linked with the quality of its alignment. During the instrument calibration, having open loop fast tools with a large capture range are necessary to quickly assess the system…

It is often stated that if one is presented with a snapshot of the positions of the molecules of a glass and one of a liquid, one is unable to tell the difference. Here we argue instead that given several such snapshots taken over a…

Disordered Systems and Neural Networks · Physics 2024-02-08 Ittai Fraenkel , Jorge Kurchan , Dov Levine

The optical aberrations of a system can be described in terms of the wave aberrations, defined as the departure from the ideal spherical wavefront; or the ray aberrations, which are in turn the deviations from the paraxial ray intersection…

Optics · Physics 2016-01-20 John Restrepo , Pawel J. Stoerck , Ivo Ihrke

High fidelity radio interferometric data calibration that minimises spurious spectral structure in the calibrated data is essential in astrophysical applications, such as 21 cm cosmology, which rely on knowledge of the relative spectral…

Instrumentation and Methods for Astrophysics · Physics 2022-10-26 Peter H. Sims , Jonathan C. Pober , Jonathan L. Sievers

Despite the critical importance of the elastic properties of modern materials, there is not a singular model that can predict the modulus to an accuracy needed for industrial glass design. To address this problem, we propose an approach to…

Materials Science · Physics 2019-02-15 Collin J. Wilkinson , Qiuju Zheng , Liping Huang , John. C. Mauro

We investigate numerically the identification of relevant structural features that contribute to the dynamical heterogeneity in a model glass-forming liquid. By employing the recently proposed information imbalance technique, we select…

Soft Condensed Matter · Physics 2024-11-14 Anand Sharma , Chen Liu , Misaki Ozawa

The study of Earth-mass extrasolar planets via the radial-velocity technique and the measurement of the potential cosmological variability of fundamental constants call for very-high-precision spectroscopy at the level of…

Instrumentation and Methods for Astrophysics · Physics 2019-04-24 F. Cersullo , A. Coffinet , B. Chazelas , C. Lovis , F. Pepe

The price of instruments and observing time on modern telescopes is quickly increasing with the size of the primary mirror. Therefore, it is worth revisiting the data reduction algorithms to extract every bit of scientific information from…

Instrumentation and Methods for Astrophysics · Physics 2021-02-03 Nikolai Piskunov , Ansgar Wehrhahn , Thomas Marquart