Discovering causal relations and equations from data

G Camps-Valls, A Gerhardus, U Ninad, G Varando… - Physics Reports, 2023 - Elsevier
Physics is a field of science that has traditionally used the scientific method to answer
questions about why natural phenomena occur and to make testable models that explain the …

Data-driven modal decomposition methods as feature detection techniques for flow problems: A critical assessment

B Begiashvili, N Groun, J Garicano-Mena… - Physics of …, 2023 - pubs.aip.org
Modal decomposition techniques are showing a fast growth in popularity for their wide range
of applications and their various properties, especially as data-driven tools. There are many …

Dynamic mode decomposition of dynamic MRI for assessment of pulmonary ventilation and perfusion

E Ilicak, S Ozdemir, J Zapp, LR Schad… - Magnetic Resonance …, 2023 - Wiley Online Library
Purpose To introduce dynamic mode decomposition (DMD) as a robust alternative for the
assessment of pulmonary functional information from dynamic non‐contrast‐enhanced …

[HTML][HTML] ModelFLOWs-app: data-driven post-processing and reduced order modelling tools

A Hetherington, A Corrochano… - Computer Physics …, 2024 - Elsevier
This article presents an innovative open-source software named ModelFLOWs-app, 1
written in Python, which has been created and tested to generate precise and robust hybrid …

[HTML][HTML] Higher order dynamic mode decomposition to model reacting flows

A Corrochano, G D'Alessio, A Parente… - International Journal of …, 2023 - Elsevier
This work presents a new application of higher order dynamic mode decomposition
(HODMD) for the analysis of reactive flows. Due to the high complexity of the data analysed …

[HTML][HTML] A dynamic mode decomposition technique for the analysis of non–uniformly sampled flow data

B Li, J Garicano-Mena, E Valero - Journal of Computational Physics, 2022 - Elsevier
Abstract A novel Dynamic Mode Decomposition (DMD) technique capable of handling non–
uniformly sampled data is proposed. As it is usual in DMD analysis, a linear relationship …

Automatic cardiac pathology recognition in echocardiography images using higher order dynamic mode decomposition and a vision transformer for small datasets

A Bell-Navas, N Groun, M Villalba-Orero… - Expert Systems with …, 2024 - Elsevier
Heart diseases are the main international cause of human defunction. According to the
WHO, nearly 18 million people decease each year because of heart diseases. Also …

Dynamic mode decomposition with core sketch

SE Ahmed, PH Dabaghian, O San, DA Bistrian… - Physics of …, 2022 - pubs.aip.org
With the increase in collected data volumes, either from experimental measurements or high
fidelity simulations, there is an ever-growing need to develop computationally efficient tools …

Deriving phenotype-representative left ventricular flow patterns by reduced-order modeling and classification

MG Borja, P Martinez-Legazpi, C Nguyen… - Computers in Biology …, 2024 - Elsevier
Background Extracting phenotype-representative flow patterns and their associated
numerical metrics is a bottleneck in the clinical translation of advanced cardiac flow imaging …

Time series prediction of ship course keeping in waves using higher order dynamic mode decomposition

CZ Chen, ZJ Zou, L Zou, M Zou, JQ Kou - Physics of Fluids, 2023 - pubs.aip.org
A novel reduced-order model (ROM) based on higher order dynamic mode decomposition
(HODMD) is proposed for the time series prediction of ship course-keeping motion in waves …