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This paper extends the subjects dicussed in the Data Analysis and Dynamical Systems courses by looking at the subject of modelling data. This task is nontrivial as the underlying process could be non-linear. In the paper some common…

Statistics Theory · Mathematics 2011-08-02 Vincent Mellor

StructOpt, an open-source structure optimization suite, applies genetic algorithm and particle swarm methods to obtain atomic structures that minimize an objective function. The objective function typically consists of the energy and the…

Computational Physics · Physics 2019-01-10 Jason J. Maldonis , Zhongnan Xu , Zhewen Song , Min Yu , Tam Mayeshiba , Dane Morgan , Paul M. Voyles

Parameters of the mathematical model describing many practical dynamical systems are prone to vary due to aging or renewal, wear and tear, as well as changes in environmental or service conditions. These variabilities will adversely affect…

Systems and Control · Electrical Eng. & Systems 2022-07-13 Hang Geng , Mulugeta A. Haile , Huazhen Fang

Classical tests of goodness-of-fit aim to validate the conformity of a postulated model to the data under study. Given their inferential nature, they can be considered a crucial step in confirmatory data analysis. In their standard…

Methodology · Statistics 2022-04-06 Sara Algeri , Xiangyu Zhang

Researchers train neural simulators on uniformly sampled numerical simulation data. But under the same budget, does systematically sampled data provide the most effective information? A fundamental yet unformalized problem is how to sample…

Machine Learning · Computer Science 2026-03-20 Wenshuo Wang , Fan Zhang

Comparative evaluation lies at the heart of science, and determining the accuracy of a computational method is crucial for evaluating its potential as well as for guiding future efforts. However, metrics that are typically used have…

Data Analysis, Statistics and Probability · Physics 2019-07-10 Kiwon Um , Xiangyu Hu , Bing Wang , Nils Thuerey

Learning precise distributions of traffic features (e.g., burst sizes, packet inter-arrival time) is still a largely unsolved problem despite being critical for management tasks such as capacity planning or anomaly detection. A key…

Networking and Internet Architecture · Computer Science 2024-05-27 Alexander Dietmüller , Albert Gran Alcoz , Laurent Vanbever

Statistical matching is an effective method for estimating causal effects in which treated units are paired with control units with ``similar'' values of confounding covariates prior to performing estimation. In this way, matching helps…

Methodology · Statistics 2023-09-13 Sanjeewani Weerasingha , Michael J. Higgins

Fitting models to measured data is one of the standard tasks in the natural sciences, typically addressed early on in physics education in the context of laboratory courses, in which statistical methods play a central role in analysing and…

Physics Education · Physics 2022-10-25 Johannes Gäßler , Günter Quast , Daniel Savoiu , Cedric Verstege

We consider the problem of complementary fashion prediction. Existing approaches focus on learning an embedding space where fashion items from different categories that are visually compatible are closer to each other. However, creating…

Computer Vision and Pattern Recognition · Computer Science 2021-09-17 Ambareesh Revanur , Vijay Kumar , Deepthi Sharma

Simulation is increasingly being used for generating large labelled datasets in many machine learning problems. Recent methods have focused on adjusting simulator parameters with the goal of maximising accuracy on a validation task, usually…

Computer Vision and Pattern Recognition · Computer Science 2020-08-20 Harkirat Singh Behl , Atılım Güneş Baydin , Ran Gal , Philip H. S. Torr , Vibhav Vineet

Materials used in real clothing exhibit remarkable complexity and spatial variation due to common processes such as stitching, hemming, dyeing, printing, padding, and bonding. Simulating these materials, for instance using finite element…

When there are many observations of an astronomical source - many images with different dithers, or many spectra taken at different barycentric velocities - it is standard practice to shift and stack the data, to (for example) make a high…

Instrumentation and Methods for Astrophysics · Physics 2024-03-19 David W. Hogg , Andrew R. Casey

A tracking system that will be used for Augmented Reality (AR) applications has two main requirements: accuracy and frame rate. The first requirement is related to the performance of the pose estimation algorithm and how accurately the…

Robotics · Computer Science 2017-04-21 Erkan Bostanci , Betul Bostanci , Nadia Kanwal , Adrian F. Clark

Two methods of data analysis are compared: spreadsheet software and a statistics software suite. Their use is compared analyzing data collected in three selected experiments taken from an introductory physics laboratory, which include a…

Physics Education · Physics 2010-06-23 Primoz Peterlin

Existing computationally efficient methods for penalized likelihood GAM fitting employ iterative smoothness selection on working linear models (or working mixed models). Such schemes fail to converge for a non-negligible proportion of…

Methodology · Statistics 2015-11-13 Simon N. Wood

An important challenge in statistical analysis lies in controlling the bias of estimators due to the ever-increasing data size and model complexity. Approximate numerical methods and data features like censoring and misclassification often…

Statistics Theory · Mathematics 2020-11-17 Stéphane Guerrier , Mucyo Karemera , Samuel Orso , Maria-Pia Victoria-Feser , Yuming Zhang

A reduced-rank mixed effects model is developed for robust modeling of sparsely observed paired functional data. In this model, the curves for each functional variable are summarized using a few functional principal components, and the…

Methodology · Statistics 2023-08-08 Huiya Zhou , Xiaomeng Yan , Lan Zhou

Many cytoskeletal systems are now sufficiently well known to permit their precise quantitative modelling. Microtubule and actin filaments are well characterized, and the associated proteins are often known, as well as their abundance and…

Quantitative Methods · Quantitative Biology 2022-05-30 Carlos A. Lugo , Eashan Saikia , Francois Nedelec

Fitting models to data is an important part of the practice of science. Advances in machine learning have made it possible to fit more -- and more complex -- models, but have also exacerbated a problem: when multiple models fit the data…

Methodology · Statistics 2025-10-27 Alexandre René , André Longtin