[{"command":"insert","method":null,"selector":".course-modal-ajax-placeholder-958015","data":"\u003Cdiv class=\u0022container content-rte\u0022\u003E\n  \u003Cdiv class=\u0022row\u0022\u003E\n    \u003Cdiv class=\u0022box col-md-6 bg-primary text-white\u0022\u003E\n      \u003Ch2 class=\u0022h1 text-left\u0022\u003E  Scientific Machine Learning - Application to Construction Engineering\n\u003C\/h2\u003E\n                  \u003Cdiv class=\u0022field-spacing\u0022\u003E\n        \u003Cdiv class=\u0022field__label h3 dash\u0022\u003EECTS :\n          3\n        \u003C\/div\u003E\n      \u003C\/div\u003E\n                  \u003Cdiv class=\u0022field-spacing\u0022\u003E\n        \u003Cdiv class=\u0022field__label h3 dash\u0022\u003ESemestre calendaire :\n          Semester 1\n        \u003C\/div\u003E\n      \u003C\/div\u003E\n                    \u003Cdiv class=\u0022field-spacing\u0022\u003E\n      \u003Cdiv class=\u0022field__label h3 dash\u0022\u003ELangue d\u0026#039;enseignement\u003C\/div\u003E\n                        \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n                                      \u003Cspan\u003EAnglais\u003C\/span\u003E\n                      \u003C\/div\u003E\n                  \u003C\/div\u003E\n        \u003Cdiv class=\u0022field-spacing\u0022\u003E\n      \u003Cdiv class=\u0022field__label h3 dash\u0022\u003EEnseignement \u00e0 distance\u003C\/div\u003E\n                        \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n                                      \u003Cspan\u003Enon\u003C\/span\u003E\n                      \u003C\/div\u003E\n                  \u003C\/div\u003E\n      \u003C\/div\u003E\n    \u003Cdiv class=\u0022box col-md-6\u0022\u003E\n            \u003Cdiv class=\u0022field-spacing\u0022\u003E\n      \u003Cdiv class=\u0022field__label h3 dash\u0022\u003EPr\u00e9requis\u003C\/div\u003E\n                        \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n                                      \u003Cspan\u003E\u003Cp\u003EProbability theory, Continuum Mechanics, Structural analysis\u003C\/p\u003E\u003C\/span\u003E\n                      \u003C\/div\u003E\n                  \u003C\/div\u003E\n        \u003Cdiv class=\u0022field-spacing\u0022\u003E\n      \u003Cdiv class=\u0022field__label h3 dash\u0022\u003EProgramme \/ plan \/ contenus\u003C\/div\u003E\n                        \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n                                      \u003Cspan\u003E\u003Cul\u003E\n\u003Cli\u003EReview of the fundamentals of probability theory: random variables, information entropy, estimation, statistical analysis, stochastic fields\u003C\/li\u003E\n\u003Cli\u003EProbabilistic modeling tools and uncertainty propagation methods, polynomial chaos, Monte Carlo simulation\u003C\/li\u003E\n\u003Cli\u003EDescription of random fields from Karhunen-Lo\u00e8ve expansion, parametric studies from kriging approaches\u003C\/li\u003E\n\u003Cli\u003EMachine learning: supervised learning for classification and regression, stochastic gradient, universal approximation theorem, two-layer neural networks, deep networks and convolutional networks, unsupervised and semi-supervised learning, autoencoders, generative adversarial networks (GANs)\u003C\/li\u003E\n\u003Cli\u003ERisk assessment by combining a probabilistic approach and machine learning\u003C\/li\u003E\n\u003Cli\u003EApplication to a nonlinear structural response in civil engineering.\u003C\/li\u003E\n\u003C\/ul\u003E\u003C\/span\u003E\n                      \u003C\/div\u003E\n                  \u003C\/div\u003E\n        \u003Cdiv class=\u0022field-spacing\u0022\u003E\n      \u003Cdiv class=\u0022field__label h3 dash\u0022\u003EObjectifs d\u0026#039;apprentissage\u003C\/div\u003E\n                        \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n                                      \u003Cspan\u003E\u003Cp\u003EUnlike traditional deterministic design methods, which rely on fixed safety factors, probabilistic approaches explicitly account for uncertainty in loads, material properties, geometry, and environmental conditions. Students will learn how to quantify, model, and manage these uncertainties to make more informed and resilient engineering decisions.\u003C\/p\u003E\n\u003Cp\u003EIn particular, this course explores how probabilistic mechanics and machine learning are combined to enhance risk assessment, reliability analysis, and decision-making in civil engineering. Traditional deterministic design approaches are being transformed by data-driven methods that can better capture uncertainty, complexity, and interdependence in infrastructure systems. Students will learn to apply probabilistic and machine learning techniques to predict performance, assess risk, and support resilient, adaptive engineering design.\u003C\/p\u003E\n\u003Cul\u003E\n\u003Cli\u003EThis course reviews the fundamentals of probability, statistics, and information theory to account for Uncertainty Modeling, Quantification, and Propagation in structural and material mechanics\u003C\/li\u003E\n\u003Cli\u003EReliability analysis for non-linear response.\u003C\/li\u003E\n\u003Cli\u003EStatistical and Machine learning to build efficient surrogate models for structures or materials, taking advantage of extensive databases originating from either advanced experiments or numerical simulations.\u003C\/li\u003E\n\u003C\/ul\u003E\u003C\/span\u003E\n                      \u003C\/div\u003E\n                  \u003C\/div\u003E\n                                \u003Cdiv class=\u0022field-spacing\u0022\u003E\n      \u003Cdiv class=\u0022field__label h3 dash\u0022\u003EBibliographie\u003C\/div\u003E\n                        \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n                                      \u003Cspan\u003E\u003Cul\u003E\n\u003Cli\u003EThe stochastic finite element method: Past, present and future. G. Stefanou, 2009\u003C\/li\u003E\n\u003Cli\u003ESto chastic Finite Element Methods and Reliability. A State-of-the-Art Report. B. SUDRET, A. DER KIUREGHIAN, 2000\u003C\/li\u003E\n\u003C\/ul\u003E\u003C\/span\u003E\n                      \u003C\/div\u003E\n                  \u003C\/div\u003E\n        \u003Cdiv class=\u0022field-spacing\u0022\u003E\n      \u003Cdiv class=\u0022field__label h3 dash\u0022\u003ENature de l\u0026#039;\u00e9valuation\u003C\/div\u003E\n                        \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n                                      \u003Cspan\u003EEvaluation Continue non Int\u00e9grale\u003C\/span\u003E\n                      \u003C\/div\u003E\n                  \u003C\/div\u003E\n      \u003C\/div\u003E\n  \u003C\/div\u003E\n\u003C\/div\u003E\n","settings":null}]