Nonlinear Regression Operating on Microstructures Described from Topological Data Analysis for the Real-Time Prediction of Effective Properties - Archive ouverte HAL Access content directly
Journal Articles Materials Year : 2020

Nonlinear Regression Operating on Microstructures Described from Topological Data Analysis for the Real-Time Prediction of Effective Properties

Abstract

Real-time decision making needs evaluating quantities of interest (QoI) in almost real time. When these QoI are related to models based on physics, the use of Model Order Reduction techniques allows speeding-up calculations, enabling fast and accurate evaluations. To accommodate real-time constraints, a valuable route consists of computing parametric solutions—the so-called computational vademecums—that constructed off-line, can be inspected on-line. However, when dealing with shapes and topologies (complex or rich microstructures) their parametric description constitutes a major difficulty. In this paper, we propose using Topological Data Analysis for describing those rich topologies and morphologies in a concise way, and then using the associated topological descriptions for generating accurate supervised classification and nonlinear regression, enabling an almost real-time evaluation of QoI and the associated decision making.

Domains

Materials
Fichier principal
Vignette du fichier
PIMM_M_2020_YUN.pdf (1.06 Mo) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-02881820 , version 1 (26-06-2020)

Identifiers

Cite

Minyoung Yun, Clara Argerich, Elias Cueto, Jean Louis Duval, Francisco Chinesta. Nonlinear Regression Operating on Microstructures Described from Topological Data Analysis for the Real-Time Prediction of Effective Properties. Materials, 2020, 13 (10), pp.1-12. ⟨10.3390/ma13102335⟩. ⟨hal-02881820⟩
42 View
36 Download

Altmetric

Share

Gmail Facebook X LinkedIn More